The Test scores of IBM students are normally distributed with a mean of 950 and a standard deviation of 200.

a) If your score was 1390. What percentage of students have scores more than You? (Also explain your answer using Graphical work).

b) What percentage of students score between 1100 and 1200? (Also explain your answer using Graphical work).

c) What are the minimum and the maximum values of the middle 87.4% of the scores? (Also explain your answer using Graphical work).

d) If there were 165 students who scored above 1432. How many students took the exam? (Also explain your answer using Graphical work).

Answers

Answer 1

The test scores of IBM students are normally distributed with a mean of 950 and a standard deviation of 200. Using this information, we can answer the following questions: a) the percentage of students with scores higher than 1390, b) the percentage of students with scores between 1100 and 1200, c) the minimum and maximum values of the middle 87.4% of scores, and d) the number of students who took the exam if there were 165 students who scored above 1432.

a) To find the percentage of students with scores higher than 1390, we need to calculate the area under the normal distribution curve to the right of the score 1390. Using a standard normal distribution table or a graphing tool, we can find the corresponding z-score for 1390. Once we have the z-score, we can determine the proportion or percentage of the distribution to the right of that z-score, which represents the percentage of students with scores higher than 1390.

b) To find the percentage of students with scores between 1100 and 1200, we need to calculate the area under the normal distribution curve between these two scores. Similar to the previous question, we can convert the scores to their corresponding z-scores and find the area between the two z-scores using a standard normal distribution table or a graphing tool.

c) To find the minimum and maximum values of the middle 87.4% of the scores, we need to locate the z-scores that correspond to the 6.3% area on each tail of the distribution. By finding these z-scores and converting them back to the original scores using the mean and standard deviation, we can determine the minimum and maximum values of the middle 87.4% of the scores.

d) To determine the number of students who took the exam based on the information about the number of students who scored above 1432, we need to calculate the area under the normal distribution curve to the right of the score 1432.

By using the same method as in question a), we can find the corresponding z-score for 1432 and determine the proportion or percentage of the distribution to the right of that z-score. We can then calculate the number of students by multiplying this proportion by the total number of students.

By utilizing the properties of the normal distribution and performing the necessary calculations using z-scores and area calculations, we can answer the given questions and provide a graphical representation of the distribution to aid in understanding the solutions.

Learn more about standard deviation  here:

https://brainly.com/question/29115611

#SPJ11


Related Questions

0.2(10−5c)=5c− 16 pls help

Answers

The answer is C = 3

Answer:

c=3

Step-by-step explanation:

In a _______ problem, the objective function line is moved in the direction that reduces cost.

Answers

In a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

Linear Programming (LP) is an operation research approach used to determine the best outcomes, such as optimum profit, minimum cost, or maximum yield, given a set of constraints represented as linear relationships. Linear programming's fundamental idea is to find the best value of a linear objective function that takes into account a variety of constraints that are linear inequalities or equations. The goal of the constraints is to restrict the values of the decision variables. A linear programming problem consists of a linear objective function and linear inequality constraints, as well as decision variables. In a Linear Programming problem, we try to maximize or minimize a linear objective function, which represents our target. This objective function is expressed as a linear equation consisting of decision variables, each of which has a coefficient. Linear programming's ultimate goal is to find values of the decision variables that maximize or minimize the objective function while still satisfying the system of constraints we're working with. In this case, the objective function line is moved in the direction that reduces cost, which means we are minimizing the cost. We do this by moving the objective function line down towards the minimum point. This is the point where the objective function has the smallest possible value that meets all of the constraints.

Thus, in a Linear Programming problem, the objective function line is moved in the direction that reduces cost.

To know more about Linear Programming, click here

https://brainly.com/question/30763902

#SPJ11

a group of nine women and six men must select a four-person committee. how many committees are possible if it must consist of the following? any mixture of men and women

Answers

there are 1365 possible committees that can be formed from this group of 15 people, regardless of gender.

To form a committee of 4 people from a group of 9 women and 6 men, we need to consider all possible combinations of 4 people, regardless of gender.

The number of ways to choose 4 people from a group of 15 (9 women and 6 men) is given by the combination formula:

C(15,4) = 15! / (4! * (15-4)!) = 15! / (4! * 11!) = (15 * 14 * 13 * 12) / (4 * 3 * 2 * 1) = 1365

Therefore, there are 1365 possible committees that can be formed from this group of 15 people, regardless of gender.

Visit to know more about Committee:-

brainly.com/question/29797645

#SPJ11

Find the value of x so that f(x)=3

Answers

Answer:

f(x) = (1/3)x - 2  

f(x) = (1/3)(3) - 2  

f(x) = 1 - 2  = -1

Step-by-step explanation:

f(x) usually refers to a function not a multiplication of two variables

Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.

Answers

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

Hong Kong Budget:
Contents: The Hong Kong budget comprises revenue and expenditure. It provides a detailed analysis of expected sources of income and the allocation of funds.Format: The Hong Kong budget is presented in a clear and concise format, including charts and graphs to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability.Disadvantages: It does not provide detailed information on tax expenditures and lacks public participation in the budget process.

United States Budget:

Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.

Korean Budget:

Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.

Learn more about Budget:

https://brainly.com/question/26894404

#SPJ11

HELP PLEASE

Find the value of y. Round to

the nearest tenth.

у

42°

85°

31

Answers

Answer: Therefore, the y value rounded to the nearest tenth is 47.9.

Step-by-step explanation:

To find the value of y, you can use the trigonometric function tangent (tan). First, find the angle between the y-side and the hypotenuse by subtracting the given grades from 180°:

180° - 42° - 85° = 53°

Then, use this angle and the opposite side (31) to solve for y:

tan(53°) = y/31

y = 31 * tan(53°)

y ≈ 47.9

Therefore, the value of y rounded to the nearest tenth is 47.9.

white shapes and black shapes are used in a game. some of the shapes are circles, some of the shapes are squares.the ratio of the number of white shapes to the number of black shapes is 7:3. the ratio of the number of white circles to white squares is 2:7. the ratio of the number of black circles to black squares is 1:2. work out the fraction of all the shapes are circles. give your answer as a fraction in its simplest form

Answers

The fraction computed shows that 9/32 of the shapes are circles.

How to calculate the information

Find the equivalent ratio for the total shapes:

Total Black Shapes : Total White Shapes = 5 : 11

Multiply by 2:

Total Black Shapes: Total White Shapes = 10 : 22

Find the ratio for the white shapes:

White circles : White squares = 3 : 7

Sum of the units = 3 + 7

Sum of the units = 10

Find the equivalent ratio for the total shapes:

Black circles : Black squares = 3 : 8

Multiply by 2:

Black circles : Black squares = 6 : 16

Sum of the units = 6 + 16

Sum of the units = 22

Combine the ratios:

white circles : white squares : black circles : black square = 3 : 7 : 6 : 16

Circles = 3 + 6

Circles = 9 units

Total = 3 + 7 + 6 + 16

Total = 32 units

Find the fraction of all the shapes that are circles:

Fraction = 9/32

Therefore, 9/32 of the shapes are circles

Learn more about fractions on:

https://brainly.com/question/17220365

#SPJ1

Select the correct answer from each drop-down menu. Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the , followed by a reflection across the line . Reset Next

Answers

Answer:

The sequence of transformations involved is a reflection across the x axis, followed by a reflection across the y = x line

Step-by-step explanation:

The polygon ABCD is shown in the image attached. The coordinates of the polygon are A(-6, 6), B(-4, 6), C(-4, 4), D(-6, 2), while the polygon A'B'C'D' is at A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y).

If a point O(x, y) is reflected across the y = x line, the new coordinate is O'(y, x)

Hence if polygon ABCD is reflected across the x axis, the new coordinates are A*(-6, -6), B*(-4, -6), C*(-4, -4), D*(-6, -2). If a reflection across the y = x line, the new coordinates are A'(-6, -6), B'(-6, -4), C'(-4, -4), D'(-2, -6)

Select the correct answer from each drop-down menu. Polygon ABCD goes through a sequence of rigid transformations

Answer:

Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the y-axisy = -x, followed by a reflection across the line y = xy = -x.

Step-by-step explanation:

the functionf(x,y)=xy(1−4x−8y)has 4 critical points. list them and select the type of critical point. Points should be entered as ordered pairs and listed in increasing lexicographic order. By that we mean that )x,Y) comes before (z,w) if x< z or if x=z and y

Answers

The four critical points are: (0, 0) is a degenerate critical point, (0, 1/8) is a saddle point, (1/4, 0) is a saddle point, (1/6, 1/12) is a saddle point.

The function f(x, y) = xy(1 − 4x − 8y) has 4 critical points. To list them, we first need to find the partial derivatives with respect to x and y and equate them to zero.

df/dx = y(1-8y-4x) = 0

df/dy = x(1-8y-4x) = 0

On solving the above equations, we get the critical points: (0, 0), (0, 1/8), (1/4, 0), and (1/6, 1/12).

The type of critical point can be determined using the Hessian matrix, which is given by:

H = [f_xx f_xy; f_xy f_yy]

where f_xx, f_xy, and f_yy are the second-order partial derivatives of the function f(x, y) with respect to x and y. Evaluating the Hessian matrix at each critical point and analyzing its eigenvalues can help us determine the type of critical point.

The Hessian matrix at each critical point is given by:

H(0, 0) = [0 0; 0 0], which has eigenvalues λ1 = 0 and λ2 = 0, and hence, is a degenerate critical point.

H(0, 1/8) = [1/2 0; 0 1/8], which has eigenvalues λ1 = 1/2 and λ2 = 1/8, and hence, is a saddle point.

H(1/4, 0) = [−1 0; 0 0], which has eigenvalues λ1 = −1 and λ2 = 0, and hence, is a saddle point.

H(1/6, 1/12) = [−1/27 1/72; 1/72 1/288], which has eigenvalues λ1 = −1/144 and λ2 = 1/144, and hence, is a saddle point.

Therefore, the four critical points and their types (in increasing lexicographic order) are:

(0, 0) is a degenerate critical point.

(0, 1/8) is a saddle point.

(1/4, 0) is a saddle point.

(1/6, 1/12) is a saddle point.

To learn more about saddle, refer below:

https://brainly.com/question/11013588

#SPJ11

when meters are longer and more complex we use the term

Answers

When meters are longer and more complex, we use the term "kilometer."

A kilometer is a unit of length in the metric system, and it is equal to 1,000 meters. The prefix "kilo-" denotes a factor of 1,000, so when we use the term "kilometer," we are referring to a measurement that is 1,000 times longer than a meter.

The use of kilometers is common in various contexts where longer distances are involved.

For example, when measuring the distance between cities or countries, or when discussing the length of roads, highways, or large-scale projects, kilometers are often used as the preferred unit of measurement.

Kilometers provide a convenient way to express distances that would be cumbersome to represent in meters. They allow for easier visualization and comprehension of larger distances, as they condense the number of digits required to express the measurement.

Additionally, the use of kilometers aligns with the decimal-based nature of the metric system, facilitating conversions and calculations.

In summary, the term "kilometer" is employed when meters become longer and more complex, representing a unit of measurement that is 1,000 times greater than a meter and facilitating the expression of larger distances in a more manageable and efficient manner.

To know more about meters refer here:

https://brainly.com/question/15076015#

#SPJ11

To cook a full chicken you need 20 minutes to prepare the recipe and 15
minutes per kg of chicken (W).

Find the formula to calculate the time Taken (T) to cook the full chicken

Answers

The formula to calculate the time taken (T) to cook the full chicken based on the weight (W)vof the chicken is:

T= 20minutes+ 15 minutes/kg×W

For example, if the chicken weighs 2kg, the time required to cook it would be:

T = 20 minutes+15 minutes/kg×2kg

T = 20 minutes+ 30 minutes

T = 50 minutes

Therefore, it would take 50 minutes to cook a 2kg chicken using this formula.

. Determine the side of the rhombus whose height is 4.8 dm, and the smaller diagonl 80​

Answers

Now we can substitute the given values for the height and diagonal: \(4.8^{2}\)+ 92.16 = \((80/2)^{2}\)

Simplifying, we get: 23.04 + 92.16 = 1600/4

115.2 = 400

What is rhombus?

A rhombus is a type of parallelogram in which all four sides are of equal length. It is a quadrilateral with opposite sides parallel to each other and equal in length, and its diagonals bisect each other at right angles.

by the question.

Let's call the larger diagonal "d" and the side of the rhombus "s". We know that the height is 4.8 dm, so we can use the Pythagorean theorem to find the relationship between d, s, and the height:

\((s/2)^{2}\) +\(4.8^{2}\) = \((d/2)^{2}\)

Simplifying this equation, we get:

\(s^{2}\) + 92.16 = \(d^{2}\)

We also know that one of the diagonals is 80, so we can substitute that into the area formula:

Area = (80 x d) / 2

Area = 40d

We can now substitute our expression for \(d^{2}\) from the previous equation:

Area = 40(\(\sqrt{s^{2} +92.16}\))

We can simplify this expression by dividing both sides by 40:

\(\sqrt{s^{2} +92.16}\) = Area/40

Squaring both sides:

\(s^{2}\) + 92.16 =\((Area/40)^{2}\)

To learn more about parallelogram:

https://brainly.com/question/29147156

#SPJ1

Jeannette brought 4 pairs of pants, 2 skirts, and 8 shirts to summer camp. How many different ways can she make an outfit out of one shirt and either one pair of pants or one skirt?

Answers

Answer: 240+80+60=380

Step-by-step explanation: In total, this yields 240+80+60=380 different possible outfits. Method 2: We subtract the number of ways of selecting the same outfit from the total number of possible outfits.

A student-athlete wants to sell hot dogs for a game. She has to pay a vendor fee of $3000 for the season & equipment will cost her $4500 for the season. Each hot dog sold will cost her $0.35. She anticipates selling 2000 hot dogs at the game.

To break even, what price should she charge for each hot dog?

Answers

To determine the price the student-athlete should charge for each hot dog to break even, we need to consider the total costs she incurs, including the vendor fee, equipment cost, and the cost per hot dog. By dividing the total costs by the anticipated number of hot dogs sold, we can find the price per hot dog that would allow her to break even.

The total costs for the student-athlete include the vendor fee of $3000 and the equipment cost of $4500, which sums up to $7500 for the season. Additionally, she incurs a cost of $0.35 per hot dog sold. With an anticipation of selling 2000 hot dogs, the total cost for the hot dogs would be 2000 x $0.35 = $700.

To break even, the total revenue from selling the hot dogs should cover the total costs. Therefore, the price per hot dog should be set in such a way that the revenue from selling 2000 hot dogs equals $7500. Dividing the total costs ($7500) by the number of hot dogs (2000), we find that the student-athlete should charge $3.75 per hot dog in order to break even. This price per hot dog would allow her to cover all her expenses and reach the break-even point.

Learn more about dividing here:

https://brainly.com/question/15381501

#SPJ11

Can someone help with this and give me an explanation on how u get im struggling and im giving brainly thx so much

Can someone help with this and give me an explanation on how u get im struggling and im giving brainly

Answers

The options are b), c) and e).

The answers are B, C, and E

Consuela is displaying a cylindrical case on a pedestal. She wants it to be placed so that there is an even amount of space on either side of the case. If the volume of the cylinder shown is 1,130.97 cubic inches, how much space will be on either side if it’s placed on a pedestal that is 18 inches across? Round to the nearest inch.

Answers

Answer:

First, we need to find the radius of the cylinder. We know that:

V = πr^2h

And we are given that V = 1,130.97 cubic inches. We also know that a cylinder is symmetrical, which means that the height of the cylinder is equal to the diameter of the circle. In other words, h = 2r.

Therefore, we can rewrite the formula as:

V = πr^2(2r)

1,130.97 = πr^3

r^3 = 359.82

r = 7.12 inches (rounded to two decimal places)

Now we need to find the amount of space on either side of the cylinder. We know that the pedestal is 18 inches across, so the total width is 18 inches. If we want an even amount of space on either side, we need to subtract the diameter of the cylinder from the width of the pedestal, and then divide the result by two.

Diameter = 2r = 2(7.12) = 14.24 inches

Space on either side = (18 - 14.24)/2 = 1.88 inches (rounded to two decimal places)

Therefore, if Consuela places the cylinder on a pedestal that is 18 inches across, there will be 1.88 inches of space on either side.

You are still debating about the two different computers. If you are paid $10.00/hour and your deductions are FICA (7.65%), federal tax withholding (12%), and state tax withholding (8%), how many hours do you have to work to pay for the new computer?

Answers

To pay for the new computer, you would need to work approximately 45 hours.

To calculate the number of hours needed to pay for the computer, we first need to determine the total deductions from the hourly wage. FICA, federal tax withholding, and state tax withholding are deducted from the $10.00 hourly wage.

FICA (7.65% of $10.00) = $0.765

Federal tax withholding (12% of $10.00) = $1.20

State tax withholding (8% of $10.00) = $0.80

Total deductions = $0.765 + $1.20 + $0.80 = $2.765

After subtracting the total deductions from the hourly wage, we get the net pay per hour

Net pay per hour = $10.00 - $2.765 = $7.235

To find the number of hours needed to pay for the computer, we divide the price of the computer by the net pay per hour

Number of hours = Price of the computer / Net pay per hour

Number of hours = Price of the computer / $7.235

Since the price of the computer is not mentioned in the question, we cannot determine the exact number of hours required. However, if we know the price of the computer, we can substitute it into the equation to find the answer.

The calculation and factors affecting it such as the price of the computer, any additional expenses or taxes, and the net pay per hour.

Learn more about  calculate

brainly.com/question/30781060

#SPJ11

F(n) = 2(-3)^n complete the recursive formula of f(n)

Answers

Answer:

→f(1) = -6.

→f(n)= f(n−1)(-3).

Step-by-step explanation:

Experts verified answer given in attachment!

F(n) = 2(-3)^n complete the recursive formula of f(n)

Air traffic controllers are watching two planes on radar to ensure there is enough distance between them. Plane A took off at 10:00 a.m., and plane B took off at the same runway 5 minutes later. Both planes are flying at the same direction angle and the same path. At 10:10 a.m., the airport’s radar system detected plane A at (24, 18) and plane B at (8, 6). The scale on the radar is 1 unit = 25 miles. Which vector represents the path from plane A to plane B, and what is the actual distance between them? components:LeftAngleBracket 16, 12 RightAngleBracket, distance between planes: about 20 miles components:LeftAngleBracket 16, 12 RightAngleBracket, distance between planes: about 500 miles components:LeftAngleBracket negative 16, negative 12 RightAngleBracket, distance between planes: about 20 miles components:LeftAngleBracket negative 16, negative 12 RightAngleBracket, distance between planes: about 500 miles

Answers

Answer:

The answer is D. components: <-16,-12>, distance between planes: about 500 miles

Step-by-step explanation:

Correct on edge2020

Answer:

d on edge 2021

Step-by-step explanation:

How many cubic centimetres would you place in a tub of water to displace 1 L of water?

Answers

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

What is conversion of units?

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

Learn more about conversion of units at: https://brainly.com/question/141163

#SPJ1

Please help i forgot to post the image on the last one

Please help i forgot to post the image on the last one

Answers

Answer:

x              y

0             2

2             6

4             10

6             14

I'll use the second one as the example.

First I found the x value because it was the value gaven to me, then I found the y value that lined up with it. Since the x value was 2, I had to go to the 2 on the x axis and went up until I got to the line, then I went horizontal until I hit the y axis and that's how I got 6 for the y value.

I hope this helped!!

Which interval could contain a solution to f(x)=0

Which interval could contain a solution to f(x)=0

Answers

The interval which could contain a solution to f(x) = 0 is; Choice C; -1<x<0.

Which interval could contain a solution to f(x)=0?

According to the task content, it follows that the interval which contains a solution to f(x) = 0.

On this note, it follows that f(x) = 0 lies between the points f(x) =-1 and f(x) = 2 which corresponds to Choice C.

Read more on functions;

https://brainly.com/question/6561461

#SPJ1

What is the solution to the equation x - 12 = 36?x = 24x = 48x = 36x = -3

Answers

ANSWER :

x = 48

EXPLANATION :

From the problem, we have :

\(x-12=36\)

add 12 to both sides :

\(\begin{gathered} x-12+12=36+12 \\ x=48 \end{gathered}\)

Δdef is an isosceles triangle with base angles e and f. what is the angle measure of the smallest angle in the triangle? approximate to the nearest degree. degrees what are the measures of the two congruent base angles? degrees

Answers

The two congruent base angles' measurements ∠D = 14.36 and

∠E = ∠F = 82.9

A triangle with two sides that have the same length is said to be isosceles. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

As per the data given in the above question are as bellow,

As seen in the picture below, we have D, E, and F as well as sides D, E, and F.

We determine the angle D using the cosine rule.

\(d^2=e^2+f^2-2(e)(f) \cos (D) \\3^2=12^2+12^2-2(12)(12) \cos (D)\)

9=144+144-288 cos(D)

9=288-(288 cos(D))

9-288= -288 cos(D)

-279 = -288 cos (D)

-279/288 = cos (D)

\(D=\cos ^{-1}\left(\frac{279}{288}\right)\)

D=14.26

Triangle DEF is an isosceles triangle, allowing us to calculate E and F using the triangle's angles.

180°-14.36 = 165.64°, rounded to 1 dp;

165.64°2=82.9°

We now get

D = 14.36,

E = 8, and F = 82.9.

For such more question on isosceles triangle.

https://brainly.com/question/11884412

#SPJ4

Note: The missing diagram is as bellow.

def is an isosceles triangle with base angles e and f. what is the angle measure of the smallest angle

The smallest angle, angle E, measures is 82 degrees.

Given that DE = DF = 12 and FE = 3, we can see that DE and DF are equal, which means that angles D and F are congruent.

Additionally, EF is the unequal side, so angle E will be the smallest angle in the triangle.

To find the angle measures, we can use the Law of Cosines, which states that in a triangle with sides a, b, and c and opposite angles A, B, and C, the following equation holds:

c²= a² + b² - 2abcos(C)

we know that DE = DF = 12, and EF = 3.

We can set up the equation for angle E:

12²= 12² + 3² - 2 × 12 × 3×cos(E)

Simplifying the equation:

144 = 144 + 9 - 72 × cos(E)

144 = 153 - 72 ×cos(E)

72 × cos(E) = 9

cos(E) = 9 / 72

cos(E) = 1 / 8

To find the measure of angle E, we need to take the inverse cosine (arccos) of 1/8:

E = arccos(1/8)

E = 82.77 degrees (rounded to the nearest degree)

Since the triangle is isosceles, angles D and F are congruent. T

Therefore, each of the base angles (angles D and F) will measure:

D = F = (180 - E) / 2

D = F = (180 - 82) / 2

D = F =98 degrees

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ6

what is the numeral rule for counting

Answers

Answer:

multiply the events together to get the total number of outcomes.

formula: lets say you have “a” and another event “b” then all the different outcomes for the events is a × b

Step-by-step explanation:

What is the solution set for the exponential inequality (1/2)^2x+1 <4?

Answers

Answer:   x < 12

-------------------------------------------------------------------------------------------------------

Answer:

[-3/2, infinity)

Step-by-step explanation:

b) suppose that pearson’s test of goodness of fit will be used to evaluate the claim that half of restaurants go out of business every three years, with a significance level of 0.01.(approximately) what will the chance of a type i error for this test be?

Answers

The Pearson's test of goodness fit can be used to check the significance of 0.01 but there would not be any type 1 error.

A statistical test that measures how well sample data matches a distribution from a population with a normal distribution is referred to as goodness-of-fit. Simply put, it hypothesizes if a sample is skewed or represents the data found in the actual population.

The goodness-of-fit test determines the difference between the actual and predicted values of the model in the case of a normal distribution. The chi-square is one of the approaches for determining goodness-of-fit.

Goodness-of-fit testing is a statistical technique used to draw inferences about observed values.

For example, check to see if a sampling group truly represents the entire population. That is, they establish the relationship between measured and predicted values in a model. When used in a decision-making process, goodness-of-fit tests allow you to foresee future trends and patterns.

Hence we can conclude that there would not be any error to the problem with a significance of 0.01 .

To learn more about significance visit:

https://brainly.com/question/4487809

#SPJ4

Any help please and thank you

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Using the substitution method, find the solution to this system of equations. Be sure to show your work!

-2x+2y=7
-x+y=4
please show a breakdown of the equation and a correct answer! thanks.

Answers

Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

A baby is 19 inches long at birth. After 14 months, the baby is 30 inches long. What is the rate of change?

Answers

2 inch every 3 months or... maybe 2 inches 2/4 months

I think this helps (╹◡╹)
Other Questions
Write 4.5kg : 1500g as a ratio in its simplest form Find the product of all integer divisors of that also divide . (Recall that the divisors of an integer may be positive or negative.) Graph the linear equation by finding and plotting its intercepts.-4x - y = - 12 how many fifths are there in 4 4/20 spread of cold war. they fought. what? where? why? Find the length of the following two-dimensional curve.r(t)=4sint4tcost,4cost+4tsint, for 0t2L=(Type an exact answer, usingas needed.) If the two lines y1=12x+5 and y2=2x+5 were to be graphed, what would their intersection point represent?A. Their intersection point is the only point where different inputs into both functions yield the same output.B. Their intersection point is the only point where the same input into both functions yields different outputs.C. Their intersection point is the only point where the same input into both functions yields the same output.D. Their intersection point is the only point where different inputs into both functions yield different outputs.Thanks. What are 5 evidences that support the theory of plate tectonics?. A piano is tuned by tightening or loosening the piano wires. When the wires are tightened, how is frequency of the waves on the wire affected, if at all? a. The frequency is increased. b. The frequenc Which graph represents the function h(x) = 5.5|x|? Which of the following is true about respiration in plants? Question 3 options: A. Plants do not respire. B. Plants respire at night. C. Plants respire all the time. D. Whereas animals produce carbon dioxide, plants produce oxygen at the end of respiration. In a hotel guest room, which is a potential source of the human immunodeficiency virus (HIV)?1. Cash left as tips for room attendants2. Soiled toilets3. Empty bottles of alcohol4. Needles left by intravenous drug users Read this excerpt The First Men in the Moon."In the moon," says Cavor, "every citizen knows his place. He is born to that place, and the elaborate discipline of training and education and surgery he undergoes fits him at last so completely to it that he has neither ideas nor organs for any purpose beyond it."Which of the following historical themes could be inferred from the passage above?Scientific discoveriesDivision of social classesViews about womenUnemployment and poverty why do you use a bacterial culture plate when working with viruses 1.How does a squat improve your muscular strength? 2.What sports might you do squat exercises for? ILL GIVE 5 STARS, A HEART, AND BRANLIEST TO WHOEVER ANSWERS FIRST(Please answer the entire question and show work) In the United States ____ spending is the spending component of GDP that is the most volatile (has the largest fluctuations in growth rates), and ____ spending is the largest.1. investment/government/consumption2. investment/government/consumption/net export the bona fide occupational qualification (bfoq) defense: group of answer choices applies to intentionally discriminatory policies but not to neutral policies that result in discrimination permits race or color to be used as selection criteria, but only under circumstances where employers can make a very strong case for why that is necessary is the only means by which employers can avoid liability for facially discriminatory policies or practices all of the above none of the above Taken from the existentialist perspective, involves often intense physical and psychological contact, lay at the heart of psychodrama.a. "spontaneity"b. "insight"c. "surplus reality"d. "encounter" the nurse is caring for a client with chronic pain. which long-term coping strategies may be helpful in this situation?