Translate this phrase into an algebraic expression.
The sum of 17 and twice Greg's score
Use the variable g to represent Greg's score.

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

Answer:

The answer is C

Step-by-step explanation:

hope it helps

Failure to include some units, or entire portions, of the defined survey population in the actual operational sample frame represents: a noncoverage error.

One of the components of coverage error that results from a flawed sample frame that excludes a certain percentage of the population is noncoverage.

Sampling errors need to be controlled and reduced to a level at which their presence does not defeat or obliterate the usefulness of the final sample results.

The difference between the observed values of a variable and the long-run average of the observed values in repetitions of the measurement is the sampling error.

Noncoverage, another word for these frames, inadequate coverage is also known as undercoverage.

Sampling errors can be decreased by increasing the sample size.

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In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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the probability that exactly 10 out of 10 eighty-year-olds will die in the next year is approximately 0.0000000031795, which is closest to option (e).

The number of deaths in a group of 80-year-olds follows a binomial distribution with parameters n = 10 and p = 0.27. The probability mass function of this distribution is given by:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable denoting the number of deaths, k is the number of deaths, (n choose k) is the binomial coefficient "n choose k" which represents the number of ways to choose k items out of n without order and is given by:

(n choose k) = n! / (k! * (n-k)!)

where ! denotes the factorial operation.

Substituting n = 10 and p = 0.27, we get:

P(X = 10) = (10 choose 10) * 0.27^10 * (1-0.27)^(10-10) = 0.0000000031795

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Answer:

Length and Width

Step-by-step explanation:

I took the A P E X quiz

A polygon's measurement includes Length and Width, That is option c and d.

A Polygon is a closed figure made up of lines segments (not curves) in two-dimensions. A minimum of three line segments are required for making a closed figure, thus a polygon with a minimum of three sides is known as Triangle.

Polygon has a plain 2D shape which has minimum 3 sides.

polygon not has curve lines.

Polygon is not 3D shape figure, so height is not a measurement of polygon.

Hence, Length and Width is the measurement of polygon

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Answer:

I would say corresponding angles are converse

Step-by-step explanation:

I'm not that sure though, but I'm looking at my notes and it's kind of similar to the fact that it's corresponding

Answer:

Step-by-step explanation:

45

Answer:

I believe its A, correct me if i'm wrong.

Step-by-step explanation:

A hypothesis test involves a comparison between research results from a sample and a hypothesis about a population.

Thus, option (A) is correct.

In hypothesis testing, a researcher starts with a null hypothesis, which represents the assumption of no difference or no effect in the population.

The researcher collects data from a sample and performs statistical analysis to determine whether the evidence supports or rejects the null hypothesis in favor of an alternative hypothesis.

The research results obtained from the sample are compared to the hypothesis about the population to determine whether there is enough evidence to reject the null hypothesis and accept the alternative hypothesis.

Thus, option (A) is correct

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Before radar and sonar, sailors would climb to the top of their ships to watch for land or changes in weather. If the lookout at the top of the mast can see d = 5/6h,

then we can determine the height of an object based on the distance from the observer to the object.

The height of the object can be represented by h, while d is the distance from the observer to the object. If the distance from the observer to the object is known and the observer's height above the ground is also known, the height of the object can be calculated using similar triangles.

Let's assume that the observer is standing on the ground and that the object is a tree. To determine the height of the tree, we need to measure the distance from the observer to the base of the tree and the angle formed by the observer's line of sight and the top of the tree. This angle can be determined using a protractor or a clinometer.

Using the angle and the distance from the observer to the base of the tree, we can calculate the distance from the observer to the top of the tree using trigonometry. This distance is represented by d in the formula given as d = 5/6h. Solving for h, we get:h = 6/5d

Therefore, the height of the tree can be calculated by multiplying the distance from the observer to the top of the tree by 6/5.

The height of an object can be calculated using similar triangles if the distance from the observer to the object and the observer's height above the ground are known. The formula for this calculation is h = 6/5d.

While sailors may have used a less precise method to determine the height of objects, the principles of trigonometry and similar triangles are still used today in a variety of fields to measure distances and heights.

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The product of 6 and 4.3 is 25.8.

The object being sold is referred to as a merchandise. Both a service and an item count as goods. It could take on a real, virtual, or cyber shape. Every object has an expense associated with it, and each one has a price. The industry, the product, the marketing, and the group that is being targeted all affect the price that may be charged.

To estimate the product of 6 and 4.3, we can round 4.3 to 4 and then multiply:

6 x 4.3 = 6 x 4 + 6 x 0.3

= 24 + 1.8

= 25.8

Therefore, the estimated product of 6 and 4.3 is 24.

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a) The function is one-to-one, but not onto. b) The function is not one-to-one, but it is onto. c) The function is neither one-to-one nor onto. d) The function is one-to-one and onto.

a. f(x)=−3x+4

This function is one-to-one, but not onto. It is one-to-one because for every input x, there is a unique output f(x). However, it is not onto because there are some outputs in R that are not the image of any input x. For example, the output 3 is not the image of any input x.

b. f(x)=−3\(x^2\)+7

This function is not one-to-one, but it is onto. It is not one-to-one because there are two inputs, x=1 and x=-1, that have the same output f(x)=4. However, it is onto because for every output y in R, there is an input x such that f(x)=y. For example, if y=4, then x=1 or x=-1 will both work.

c. f(x)=(x+1)/(x+2)

This function is neither one-to-one nor onto. It is not one-to-one because there are two inputs, x=0 and x=-2, that have the same output f(x)=1. It is also not onto because there are some outputs in R that are not the image of any input x. For example, the output 0 is not the image of any input x.

d. f(x)=\(x^5\)+1

This function is one-to-one and onto. It is one-to-one because for every input x, there is a unique output f(x). It is also onto because for every output y in R, there is an input x such that f(x)=y. This can be shown by using the Intermediate Value Theorem.

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Answer:

Step-by-step explanation:

a.

let A= number 5

B=number >3

P(A)=1/6  {5}

P(B)=3/6  {4,5,6}

p(A∩B)=1/6   {5}

P(AUB)=P(A)+P(B)-P(A∩B)=1/6+3/6-1/6=3/6=1/2

b.

let  event C=number<5

D=even number

C=[1,2,3,4}

D={2,4,6}

C∩D={2,4}

P(C)=4/6

P(D)=3/6

P(C∩D)=2/6

P(C∪D)=P(C)+P(D)-P(C∩D)=4/6+3/6-2/6=5/6

c.

let event E=number 2

F= an odd number.

E={2}

F={1,3,5}

E∩F={}

P(E)=1/6

P(F)=3/6

P(E∩F)=0

P(E∪F)=P(E)+P(F)-P(E∩F)=1/6+3/6-0=4/6=2/3

The linear function models the given situation will be equal to f(x) = $3600 - $400(x).

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Original price of Machine = $3600

Price lost by the machine each year = $400

Then, the equation will be,

f(x) = $3600 - $400(x)

Here, x represents the number of years.

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Answer:

f(x) = −400x + 3600

Given:

Two angles form a linear pair.

The measure of one angle is z and the measure of the other angle is 2.4 times z plus 10°.

To find:

The measure of the smallest and biggest angle.

Solution:

Two angles form a linear pair. The measure of one angle is z.

The measure of the other angle is 2.4 times z plus 10°, i.e., \(2.4z+10^\circ\).

We know that if two angles form a linear pair then their sum is 180 degrees.

\(z+(2.4z+10^\circ)=180^\circ\)

\(3.4z=180^\circ -10^\circ\)

\(3.4z=170^\circ\)

Divide both sides by 3.4.

\(z=\dfrac{170^\circ}{3.4}\)

\(z=50^\circ\)

Now, the measure of other angle is:

\(2.4z+10^\circ =2.4(50^\circ)+10^\circ\)

\(2.4z+10^\circ =120^\circ+10^\circ\)

\(2.4z+10^\circ =130^\circ\)

Therefore, the measure of the smaller angle is \(50^\circ\) and the measure of the bigger angle is \(130^\circ\).

Answer:

D. 6 feet

Step-by-step explanation:

The volume of a rectangular prism can be found by using L * W * H, or B * H

-> The length (L) times the width (W) is equal to the base (B)

V = B * H

528 = 88H

6 = H

Answer:

B

Step-by-step explanation:

By making an equation where x = number of adult tickets and y = number of children tickets, we can get 2 equations:
8x + 6y = 1850
x + y = 255
then we solve the equation to get each of the amounts

To graph a system of equations, you can first solve each equation for y, and then plot the solutions on the same coordinate plane.

For the first equation, 8x + 8y = 64, we can solve for y by subtracting 8x from both sides, which gives us 8y = 64 - 8x. Then we divide both sides by 8 to get y = (64 - 8x)/8.

For the second equation, 2x - 2y = -4, we can solve for y by adding 2x to both sides, which gives us 2y = 2x - 4.

So the solutions for y in the first equation are:

y = (64 - 8x)/8

and in the second equation are:

y = 2x - 4

We can now plot these two lines on the same coordinate plane. The point of intersection of these two lines will be the solution of the system of equations

Answer is attached in the graph.

Step by step

The easiest way to solve these is to graph on an internet or app graphing calculator.

To graph by hand you need to simplify them and arrange in slope intercept form y=mx + b

(#1)

8x + 8y = 64 all are divisible by 8

8/8x + 8/8y = 64/8

Simplify

x + y = 8

Arrange in slope intercept form

subtract x from both sides to isolate y

x - x + y = -x + 8

y = -x + 8

We plot the first point of y intercept of 8 (0,8) and plot the 2nd point by slope of -1/1 or

( 1, -1). Draw your line

(#2)

2x - 2y = -4 are all divisible by 2

2/2x - 2/2y = -4/2

Simplify

x - y = -2

Arrange in slope intercept form

subtract x from both sides to isolate y

x - x - y = -x -2

Simplify

-y = -x -2

Change the signs by multiplying all by -1

y= x +2

We plot the first point of y intercept

of 2 (0, 2) and plot the 2nd point by slope of 1/1 or ( 1, 1). Draw your line

Now you can find the solution is where the lines intersect. At (3, 5)

See my attached graph for your two line equations below

y = x + 2

y = -x + 8

The infant's weight is 7 pounds and 10 ounces using weight conversion.

To convert the weight of the newborn from grams to pounds, we need to divide the weight by the number of grams in one pound, which is 453.59. So, 3,459 grams divided by 453.59 grams per pound is equal to 7.628 pounds.

To find the weight in ounces, we need to multiply the decimal part of the pounds by 16 (since there are 16 ounces in one pound). So, 0.628 x 16 = 10.048 ounces.

Therefore, the infant's weight is 7 pounds and 10 ounces.

It is important to note that weight conversion is often used in the medical field to monitor the health and growth of newborns. By tracking their weight in pounds and ounces, doctors can ensure that they are gaining weight at a healthy rate and are meeting their developmental milestones.

This information can also be used to make adjustments to their feeding or treatment plans if necessary. It is crucial for healthcare professionals to accurately convert weight measurements to ensure the best possible care for their patients.

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Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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Answer:

NOT  A or B

probably C ?

Step-by-step explanation:

The square root of 9 is 78 less than 9 squared

The square root of 9 is calculated as

                     √9 = √(+ 3)² or√(- 3)²

                           = + 3 or - 3

Let's calculate the square of 9:

                      9² = 81

We need to calculate here, how much the square root of 9 is less than the square of 9 or we can say the difference between the square of 9 and the square root of 9. So, let's say that difference is denoted by d

                                 d = 9² - √9

When √9 = +3

                                 d = 81 - 3

                                 d = 78

When √9 = -3

                                 d = 81 - (-3)

                                 d = 81 + 3

                                 d = 84

Hence, the value of the difference between the square of 9 and the square root of 9 is 78 or 84.

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Answer:

4

Step-by-step explanation:

\((5 - 1) + ( \frac{1}{4} - \frac{1}{4} )\)

\(4 + 0\)

\(4\)

Answer:

The answer is 4

Step-by-step explanation:

piece of cake :)

Answer:

to aage kya keru koi Q hai to bol

Answer:

I hope it help pls mark me brainlest pls

The Maclaurin series of the function f(x) = ln(1-7x) can be expressed as \(\Sigma((-1)^n * 7^n * x^n)\) from n = 1 to infinity. The interval of validity for this series depends on the convergence of the terms.

To find the Maclaurin series of f(x) = ln(1-7x), we can use the formula for the Maclaurin series expansion of ln(1+x), which is \(\Sigma((-1)^n * x^n)\) from n = 1 to infinity. By substituting -7x in place of x, we get \(\Sigma((-1)^n * (-7x)^n)\) from n = 1 to infinity. Simplifying this expression, we have \(\Sigma((-1)^n * 7^n * x^n)\) from n = 1 to infinity.

The interval of validity for this series is determined by the convergence of the terms. The Maclaurin series of ln(1-7x) will converge for values of x that satisfy |x| < 1/7. In interval notation, this can be expressed as (-1/7, 1/7). The series will be valid within this interval, and as x approaches the endpoints of the interval, the convergence of the series may need to be checked separately.

It's important to note that the endpoint values, x = -1/7 and x = 1/7, are not included in the interval of validity because the ln(1-7x) function is not defined at those points. The Maclaurin series represents an approximation of the ln(1-7x) function within the specified interval.

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Answer:

all of the above

Step-by-step explanation:

Answer:

It gives heat and light on the earth.

plants makes food with the help of sunlight.

Animals take warmth by sunlight.etc.

Answer: Please adjust the 37. The answer would be 40.

Step-by-step explanation:

23 + 17 obviously equals 40.

Answer:

B. Given the values for the explanatory variables, there is a 60 percent probability that the dependent variable will equal one.

Step-by-step explanation:

Given

Model: binary dependent variable

Predicted value: 0.6

Required

Interpret

The possible values of a binary dependent variable are 0 or 1.

So, a predicted value means that, the chance that the dependent variable will be 1 equals to the predicted value.

Since the predicted value is 0.6 (or 60%), this means that; there is a 60% chance that the dependent variable = 1.

Hence, option (b) is true.

Answer:

300 square inches

Step-by-step explanation:

Area of a Trapezoid = 1/2 (b1 + b2 ) × h

h = height 20 inches

b1 = First base = ?

b2 = Second base = ?

From the Question

b1 + b2 = 30 Inches

Hence,

Area of the Trapezoid = 1/2 (30) × 20

= 1/2 × 30 inches × 20 inches

= 300 square inches

The Area of the Trapezoid = 300 Square inches