Answer:
the correct answer is b
Lou Ann needed to mail 150 invitations to her school play. The invitations came 6 to a package. Which number sentence could be used to find out how many packages Lou Ann needed?
Lou Ann needed 25 packages that contains all the 150 invitations.
Lou Ann needed to mail 150 invitations to her school play. The invitations came 6 to a package.
What is Statistic?The statistic is the study of mathematics which deal with relations between comprehensive data.
Here, 1 package contains 6 invitation
so 1 package = 6 invitations
total invitation= 150 invitations
now number of packages = Total invitation/ 6 invitation = 150/6
=25
Thus the required number of packages is 25.
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An educator wants to determine whether a new curriculum significantly improves standardized test scores for third grade students. She randomly divides 90 third dash graders into two groups. Group 1 is taught using the traditional curriculum, while group 2 is taught using the new curriculum. At the end of the school year, both groups are given the standardized test and the mean scores are compared. Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative.
Answer:
Independent
Step-by-step explanation:
Dependent Sampling:
Dependent sampling is one in which the individuals in one sample are used to determine the individuals in the other sample.
But the third dash graders are divided into two groups independent of each other.
So the sampling is independent.
It is qualitative because it is showing quality irrespective of the number of students .
Quantitative Sampling is one in which the results change with the number of the individuals / tests etc. But in this experiment the number of the students is fixed so it is showing quality rather than quantity.
with a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b)
This is incomplete question
Complete question is this:
With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?
Only use models that produce values of r = 1Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line Maximize the size of the residualsFind the best fit line that crosses the y- axis at x = 0Choose the correct option:
Now, According to the question:
Hence, The aim when choosing the model parameters:
Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line
The correct option is (b).
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Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith’s assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities he should delegate to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn’t have time to teach the assistant to be an accountant
The tasks that Keith can delegate to the assistant are List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet, Add the Debit and Credit columns of the trial balance and Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet.
List the account balances from the general ledger in the Trial Balance columns of the end-of-period spreadsheet: Keith should delegate this task to his assistant. This is a relatively straightforward task that does not require a deep understanding of accounting principles. The assistant can be provided with clear instructions on how to pull the account balances from the general ledger and list them in the trial balance columns of the spreadsheet.
Add the Debit and Credit columns of the trial balance: Keith should delegate this task to his assistant. This is a simple arithmetic task that the assistant can perform with clear instructions.
Make the adjusting entries on the spreadsheet: Keith should retain this task. Adjusting entries involve more complex accounting knowledge and require a deeper understanding of accounting principles. It would be difficult for the assistant to complete this task without proper training.
Complete the spreadsheet: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.
Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the spreadsheet: Keith should delegate this task to his assistant. The assistant can be provided with clear instructions on how to organize the data from the spreadsheet into formal financial statements. It does not require a deep understanding of accounting principles.
Journalize and post the adjusting entries: Keith should retain this task. This task requires a deep understanding of accounting principles and an understanding of how the various accounts and transactions relate to each other. It would be difficult for the assistant to complete this task without proper training.
--The question is incomplete, answering to the question below--
"Keith Martin is the controller for Daniels Printing Service. Keith has been putting in a lot of overtime; therefore, Mr. Daniels has allowed Keith to hire an assistant. Keith's assistant is a bright, high school graduate, but he has never taken an accounting class. Keith is trying to decide which accounting activities could be delegated to his assistant. Keith is willing to give the assistant a few simple instructions on how to complete each task, but he doesn't have the time to teach the assistant to be an accountant.
For each task listed, state whether Keith should continue to do the work or delegate the task to his assistant. Explain each answer.
1. List the account balances from the general ledger in the Trial Balance columns of the work sheet.
2. Add the Debit and Credit columns of the trial balance.
3. Make the adjusting entries on the work sheet.
4. Complete the work sheet.
5. Type the formal financial statements using the data from the Income Statement and Balance Sheet columns of the work sheet.
6. Journalize and post the adjusting entries."
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A triangle has side lengths of n, n - 3, and 2(n – 2). If the perimeter of the triangle is at least 37 units, what is the value of n?
A. m > 11
B. 1 > 7.5
C.n> 10.5
D. n>8
Answer:
Step-by-step explanation:
Solve the system using elimination.
2x + 3y = -2
3x - 6y = 18
Answer:
x= 2 y= -2
(2, -2)
I hope this helps you!
The solutions to the equation is
The value of x = 2
The value of y = -2
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be A
The value of A is
2x + 3y = -2 be equation (1)
Let the second equation be B
The value of B is
3x - 6y = 18 be equation (2)
Now , on simplifying the equation , we get
Multiply equation (1) by 3 , we get
6x + 9y = -6 be equation (3)
Multiply equation (2) by 2 , we get
6x - 12y = 36 be equation (4)
Subtracting equations (3) and equation (4) , we get
21y = -42
Divide by 21 on both sides of the equation , we get
y = -2
Substitute the value of y in equation (1) , we get
2x + 3 ( -2 ) = -2
2x - 6 = -2
Adding 6 on both sides of the equation , we get
2x = 4
Divide by 2 on both sides of the equation , we get
x = 2
Therefore , the value of x and y is 2 and -2 respectively
Hence , the solutions to the equations is x = 2 and y = -2
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The shape of a data-flow (DFD) diagramming process is a(n): A. rectangle. B. arrow. C. rounded rectangle. D. square. E. open box.
The shape of a data flow diagramming process is a open box.
Given nothing and we have to tell the shape of a data flow diagramming process.
A data flow diagram expresses the flow of information for any process or system. It uses symbols like rectangles, circles and arrows to show data inputs, outputs, storage points and the routes between each destination.
In this diagram the information is presented in rectangles and circles which are then joined through arrows.
It can present a process of coordination between departments.
Because there is no shape in which these rectangles , circles and arrows are present. That's why we have said that it is a open box.
Hence the shape of a data flow diagramming process is a open box.
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pleaaaaaaasssssssssssssssssssssssssssssssssssssssssssssss helpppppppppppppppp meeeeeeeeeeeee withh this
Answer:
a.
Step-by-step explanation:
if u cover up one of them then u have 2 left
Answer:
2
Step-by-step explanation:
easyyyyy
Is the following statement a biconditional?
If Maura is going to the library, then she is bringing her favorite binder.
yes
no
This is a regular conditional expression because it is in the form "If P, then Q"
P = Maura is going to the library
Q = she is bringing her favorite binder
A biconditional is of the form "P if and only if Q"
The "if and only if" is the key phrase needed. It allows us to swap the positions of P and Q to say "Q if and only if P".
where are the asymptotes for the following function located?f (x) = startfraction 14 over (x minus 5) (x 1) endfractionx = –1 and x = 5x = –1 and x = 14x = 1 and x = –5x = 14 and x = 5
The asymptotes for the given function are located at x = -1 and x = 5.
The given function is:
f (x) = start fraction 14 over (x - 5) (x + 1) end fraction
To find the asymptotes for the given function, we will use the concept of vertical asymptotes:
Vertical asymptotes are vertical lines that show the value of x for which the denominator of the given function becomes zero. These are the lines where the function becomes undefined or approaches infinity.
On the given function, we see that the denominator is (x - 5) (x + 1).
Now, to find the vertical asymptotes, we will equate the denominator to zero. We get:x -
5 = 0 or
x + 1
= 0x
= 5 or x
= -1
Thus, we see that the vertical asymptotes are located at x = 5 and x = -1.
Hence, the correct option is:x = -1 and x = 5
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can some help me with this question?
Answer:
i think it's reflection followed by translation
Step-by-step explanation:
Answer:
step 1) glide translation of EFG by one unit to the left and 2 units down
step 2) reflection over the x-axis
Step-by-step explanation:
Instructions
Part 1
You will need to measure five different people. Record your measurements on a piece of paper. Using a tape measure or ruler, measure the length (in inches) of a person’s left foot and then measure the length (in inches) of that same person’s forearm (between their wrist and elbow). Refer to the diagrams below. You will have two measurements for each person.
(An easy way to measure the length of a foot is to have your subject stand on a piece of paper. Then, trace their foot and measure the outline once they move off the paper.)
To measure the forearm, measure inside the arm, between the wrist and the elbow.
Part 2
Organize your data and find the rate of change.
Create a table of the measurements for your data. Label the forearm measurements as your input and the foot measurements as your output.
Select two sets of points and find the rate of change for your data.
Describe your results. If you had to express this relation as a verbal statement, how would you describe it?
Part 3
Compare rates of change.
The equation below can be used to find the length of a foot or forearm when you know one or the other.
(length of the foot) = 0.860 • (length of the forearm) + 3.302
If you let y = length of the foot and x = length of the forearm, this equation can be simplified to
y = 0.860x + 3.302.
Using this equation, how long would the foot of a person be if his forearm was 17 inches long?
What is the rate of change of the equation from Part A?
Compare the equation from Part A to your data. Are they the same? Which has a greater rate of change? Why do you think the values are different?
Is the relation in your data a function? Why or why not? Could the equation in Part A represent a function? Why or why not? Explain your answer.
Answer:
part 1 its telling you to measure people
part two is telling you to put it into a graph and find the rate of change. more than likely there won't be a rate of change for you
part three:
y = 0.860x + 3.302
y = 0.860(17) + 3.302
0.860(17) = 14.62
14.62 + 3.302 = 17.922
y = 17.922
sorry this is as far as i had gotten
Point Z is equidistant from the sides of ARST. C R Z A B S Which must be true? A. SZ&TZ
B. RZ =R BZ
C. CTZ = ASZ
D. ASZ=ZSB
Answer:
B. RZ =R BZ
Step-by-step explanation:
Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.
Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.
Answer: vv
Step-by-step explanation:
Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.
Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.
Now, let's examine the options:
A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.
B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.
C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.
D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.
Therefore, the only statement that must be true is option B: RZ = RB.
a small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 84 jobs and a standard deviation of 9. where do we expect approximately 95% of the distribution to fall?
Our confidence interval is (66, 102).
In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.
Now, here:
Mean, μ = 84
Standard deviation, σ = 9
It is a 95% confidence interval. We know that, within 2 standard deviations of the mean lies 95% of the population. Hence, z = 2.
Now, calculating μ - z.σ and μ + z.σ to find the intervals.
μ - z.σ = 84 - 2x9 = 66
μ + z.σ = 84 + 2x9 = 102
Thus, our confidence interval is (66, 102).
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a sales representative calls on four hospitals in westchester county. it is immaterial what order he calls on them. how many ways can he organize his calls?
Since the sales representative calls on four hospitals in westchester county, the numbers of ways can he organize his calls is option A: 24 possible ways.
What Exactly Is a Sales representative?Throughout every stage of the sales process, a sales representative deals directly with customers. They must determine a customer's needs, make a compelling case for pertinent items or services, and guarantee a positive overall experience.
Note that:
For the first call he makes, he has 4 choices.
For the first call he makes, he has 3 choices.
For the first call he makes, he has choices.
For the first call he makes, he has choice.
Solution:
4 x 3 x 2 x 1 = 24 possible combinations.
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See options below
A sales representative calls on four hospitals in Westchester County. It is immaterial what order he calls on them. How many ways can he organize his calls?
24
7
120
37
assume that the amount of time a person experiences cold virus symptoms are normally distributed with a mean of 7.5 days and a standard deviation of 1.5 days. what cold length (number of days of symptoms) is exceeded by only 20% of cold sufferers?
Answer: The cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
Step-by-step explanation:
We need to find the value of the cold length (number of days of symptoms) that is exceeded by only 20% of cold sufferers, which corresponds to the 80th percentile of the normal distribution with a mean of 7.5 days and a standard deviation of 1.5 days.
Using a standard normal table or calculator, we can find the z-score that corresponds to the 80th percentile:
z = invNorm(0.8) = 0.8416
We can then use the formula for z-score:
z = (x - μ) / σ
where x is the cold length, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
0.8416 = (x - 7.5) / 1.5
Solving for x, we get:
x - 7.5 = 0.8416 * 1.5
x - 7.5 = 1.2624
x = 8.7624
Therefore, the cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.
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Coby sells apples and bananas at his fruit store. He charges $6 for a pound of bananas, and $8 for a pound of apples. If a customer buys a total of 13 pounds of fruit and is charged $92, how many pounds of bananas did he buy? Also, how many pounds of apples did he get?
Answer:
6 bunches of bananas7 pounds of applesStep-by-step explanation:
We have to assume that a "piece of fruit" is either a bunch of bananas or a pound of apples. Without that assumption, there is insufficient information to work the problem.
Let B represent the number of bunches of bananas. Then 13-B is the number of pounds of apples. The total cost is ...
6B +8(13 -B) = 92
-2B + 104 = 92 . . . . . eliminate parentheses
B = -12/-2 = 6 . . . . . . subtract 104, then divide by the coefficient of B
13-B = 7 . . . . . . . . . . . the number of pounds of apples
The customer bought 6 bunches of bananas and 7 pounds of apples.
Hoped This Helped!
Math Questions please help
Answer:
do you solve for y or x or anything on these if so, i can do them. i just need them in chat
Step-by-step explanation:
a cuulture intirally contains 200 basteria. if the number of bacteria dpoubles veryu 2 hours, how many vbacteria will be in the culture at the nd fot rthe 12 hours
At the end of 12 hours, there will be 12,800 bacteria in the culture.
If the number of bacteria doubles every 2 hours, it means that the growth rate of the bacteria is exponential with a doubling time of 2 hours.
To find out how many bacteria will be in the culture at the end of 12 hours, we can use the formula for exponential growth:
N = N₀ x 2^(t/T)
where:
N₀ = initial number of bacteria = 200
N = final number of bacteria
t = time elapsed = 12 hours
T = doubling time = 2 hours
Substituting the values, we get:
N = 200 x 2⁽¹²/²⁾
N = 200 x 2⁶
N = 200 x 64
N = 12,800
Therefore, at the end of 12 hours, there will be 12,800 bacteria in the culture.
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Column A 1. one solution: one solution 2. no solutions: no solutions 3. infinite solutions: infinite solutions 4. System of equations: System of equations 5. Solution: Solution 6. Equation: Equation Column B a.A representation of a scenario b.same slope, different intercepts c.same slope, same intercept d.The point where two lines intersect e.Two or more equations working together f.different slopes, different intercepts
Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
The altitude of an equilateral triangle is square root 6 units. What is the area of the triangle in square units? Express your answer in simplest radical form.
Now, we can calculate the area of the equilateral triangle as:Area of an equilateral triangle = (side × altitude) / 2= (2sqrt(6) × sqrt(6)) / 2= 6 square unitsThus, the area of the equilateral triangle is 6 square units.
Given that the altitude of an equilateral triangle is square root 6 units. We need to find the area of the triangle. Let's derive the formula of area of an equilateral triangle.As all the sides of an equilateral triangle are equal, we can calculate the area of the equilateral triangle by:
Area of an equilateral triangle = (side × altitude) / 2We know the altitude of the triangle is square root 6. We need to find the side of the triangle.Let's derive the formula of side of an equilateral triangle using Pythagoras Theorem.As the triangle is equilateral, the height divides the base into two equal halves. Therefore, the base can be represented as 2s / 2 or s.Using Pythagoras Theorem,
we have\(:(s / 2)^2 + h^2 = s^2s^2 / 4 + 6 = s^2s^2 - 4s^2 / 4 = 6s^2 / 4s^2 - 4s^2 = 6s^2 - 24s^2 = - 6s^2 = 24s = ±sqrt(24) = sqrt(4 × 6) = 2sqrt(6)\)(Taking positive value as length cannot be negative)Therefore, the side of the equilateral triangle is 2sqrt(6).
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The square footage and monthly rental of 10 rental of 10 similar one-bedroom apartments yield the linear regression y=0.775x+950.25, where x represents the square footage of the apartment and y represents the monthly rental price. Grace can afford $1,500 per month rent. Using the equation, what size apartment should she expect to be able to rent for that price? Explain work in a sentence. :)
Answer:
Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.
Step-by-step explanation:
The given linear regression equation is y=0.775x+950.25, where x represents the square footage of the apartment and y represents the monthly rental price. To find the size of the apartment Grace can expect to rent for $1,500 per month, we can substitute y with 1,500 in the equation and solve for x:
1,500 = 0.775x + 950.25
0.775x = 1,500 - 950.25
0.775x = 549.75
x = 710.32
Therefore, Grace can expect to rent an apartment with a size of approximately 710.32 square feet for $1,500 per month based on the given linear regression equation.
What degree is angle d?
Answer:
line equals 180 full circle equals 360 therefore .. you add the three numbers once gotten your answer subtract that from 180 which would be 180-135=45 degrees
No calculator. Complete solutions with clear justifications 1. Solve the inequality and equations for IER a) 13.2 – 21 <3 b) 23 + 4x2 + x - 6=0 2. Let y= S(x) = In(3x – 2). a) Define the domain Dr(a) and the value set Vs(a) to S(1). b) Define the inverse f '(x) and its domain, Dj--() and the value set V;-'(
The following can be answered by the concept of Number system.
1a) The inequality has no solution.
1b) The equation has no real solutions.
2a) The domain of S(x) is (2/3, ∞) and the value set at S(1) is 0.
2b) The inverse of S(x) is f'(x) = (eˣ + 2)/3, with domain Dj=(-∞,∞) and value set Vj=(0,∞)
1a) 13.2 - 21 < 3 simplifies to -7.8 < 3, which is false. Therefore, there is no solution to the inequality.
1b) 23 + 4x² + x - 6 = 0 can be simplified to 4x² + x + 17 = 0 using basic algebra. Using the quadratic formula, we get x = (-1 ± √-271)/8, which are complex solutions. Therefore, there are no real solutions to the equation.
2a) The domain of S(x) is (2/3, ∞) and the value set at S(1) is In(1) = 0.
2b) The inverse of S(x) is f'(x) = (eˣ + 2)/3, with domain Dj=(-∞,∞) and value set Vj=(0,∞). Therefore, the inverse of S(x) is a function that takes in the natural logarithm of a number and outputs that number multiplied by three, with an added two-thirds.
Therefore, the solutions to the given problems are as follows:
1a) The inequality has no solution.
1b) The equation has no real solutions.
2a) The domain of S(x) is (2/3, ∞) and the value set at S(1) is 0.
2b) The inverse of S(x) is f'(x) = (eˣ + 2)/3, with domain Dj=(-∞,∞) and value set Vj=(0,∞)
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The number of copies of a book sold the year it was released was 600,000. Each year after that, the number of copies sold decreased by 1/2.
I am very unsure what your question is, but the simple tip is to divide it by two each year as it is decreasing by a half..
To find the number of copies sold in subsequent years, you can use the formula:
N = N0 * (1/2)^t
where N is the number of copies sold in a given year, N0 is the initial number of copies sold (in this case, 600,000), t is the number of years since the book was released.
For example, to find the number of copies sold in the second year after the book was released:
N = 600,000 * (1/2)^1
N = 300,000
So, 300,000 copies were sold in the second year. To find the number of copies sold in subsequent years, you can continue to plug in values of t and solve for N.
9. The linear regression equation is = 34.38x - 91.75. Use the equation to predict how far this
4.38x-91-75 Use
person will travel after 10 hours of driving.
The answer of the given question based on the linear regression is , the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.
What is Distance?Distance is measurement of length between the two points or objects. It is a scalar quantity that only has a magnitude and no direction. In mathematics, distance can be measured in various units such as meters, kilometers, miles, or feet, depending on the context.
Distance can be calculated using the distance formula, which is based on the Pythagorean theorem in two or three dimensions.
Assuming the equation you meant to write is y = 34.38x - 91.75, where y is the predicted distance traveled in miles and x is the number of hours driven, we can use this equation to predict how far the person will travel after 10 hours of driving:
y = 34.38x - 91.75
y = 34.38(10) - 91.75
y = 343.8 - 91.75
y = 252.05
Therefore, the predicted distance the person will travel after 10 hours of driving is approximately 252.05 miles.
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During 10 hours of driving, the projected distance according to linear regression is roughly 252.05 miles.
What is Distance?The term "distance" refers to the length between two points or objects. Having merely a magnitude and no direction, it is a scalar quantity. Depending on the situation, distance in mathematics can be expressed in a variety of ways, including meters, kilometers, miles, or feet.
The distance formula, which depends on the Pythagorean theorem in either two or three dimensions, can be used to compute distance.We may use this equation to forecast how far the individual would go after 10 hours of driving, assuming the equation you meant to write is
y = 34.38x - 91.75, where y is the expected distance travelled in miles and x is the number of hours driven:
y = 34.38x - 91.75
y = 34.38(10) - 91.75
y = 343.8 - 91.75
y = 252.05
The estimated distance that the driver will cover after 10 hours on the road is 252.05 miles.
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The complete question is,
The equation for linear regression is = 34.38x - 91.75. Calculate this person's estimated distance after 10 hours of driving using the equation: 4.38x-91-75.
902 divided by 9
Answer:
902 divided by 9 = 100.2
9 divided by 902= 0.009 or 0 with the remainder of 9
Step-by-step explanation:
Find the slope of each line
Answer:
The slope of this line is 4/1 or just 4.
Step-by-step explanation:
In order to get from one red dot to the other, you go up 4 and over 1. The entire line's formula is y=4x-2
A synthetic fiber used in manufacturing carpet has tensile that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. (a) Find the probability that a random sample of n = 6 fiber specimens will have a sample mean tensile strength that exceeds 75.75 psi. 75.75 - р X- р M P[X > 75.75] = P o In o Tn 75.75 – 75.5 P[X > 75.75] = P2> 3.5 va = P[Z > 0.175] = 1-0(0.175) = 0.4325 BC (b) How is the standard deviation of the sample mean changed when the sample size is increased from n = 6 to n = 49?
The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.
Given that,
The tensile strength of a synthetic fiber used to make carpet is regularly distributed, with a mean of 75.5 psi and a standard deviation of 3.5 psi. We have to determine probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi.
We know that,
The Z score is used to determine how far the raw score deviates from the mean, either above or below.
z = (score - mean) / (standard deviation ÷ √sample)
Mean 75.5 psi and standard deviation 3.5 psi. n = 6.
For > 75.75:
z = (75.75 - 75.5) / (3.5 ÷√6) = 0.17
P(z>0.17) = 1-P(z<0.17)
= 1-0.5675
= 43.25%
Therefore, The probability that a n = 6 fiber specimen random sample will have a sample tensile strength greater than 75.75 psi is 43.25%.
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How many times smaller is 1.6 × 103 than 2.992 × 105?
Answer:
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Step-by-step explanation:
1.6 × 103 = 164.8
2.992 × 105 = 314.16
Subtract
314.16 - 164.8 = 149.36
Answer:
149.38
Step-by-step explanation:
1.6*103=164.8
2.992*105=314.16
314.16-164.8=149.38