choose all that correctly interpret the parameter of the linear function​

Answer: 32

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

\(8x = 32\\\frac{8x}{8} = \frac{32}{8} \\x= 4\)

Answer:

I believe it would be 21 units . dont let extra line's confuse you just pay attention to the letters its asking for

Given : In a factory that makes bolts, 20% of the bolts being made by a certain machine are defective. The factory owner wants to determine the probability that two bolts in a row will be defective.

He decides to use random numbers as a simulation tool. The following list shows 100 two-digit numbers that were randomly generated to represent two bolts in a row

he uses the digits 0 and 1 to represent defective bolts,

To Find  :  how many times were two bolts in a row defective?

Step-by-step explanation:

he uses the digits 0 and 1 to represent defective bolts,

Hence 10 or 01  represent  two defectives  bolts in a row.

There are two times 10

and one time 01

Hence 3  times   two defectives  bolts in a row.

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Colin was able to make 33.75 ounces of bubble bath .

It is given that Colin fills 4.5 ounce per bottles .

We apply division because we need to find the cost of one item given the  cost of many items. If you need to find the cost of many items from the cost of one item,  apply the multiplication operation.

Using unitary method , we get

1 bottles have = 4.5 ounces

7.5 bottles will have = \(7.5\times 4.5=33.75\) ounces

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Answer:

Theo practices yoga on Saturday 57 more minutes.

Step-by-step explanation:

With the information provided, you can find the total amount of minutes Theo practices yoga that would represent 100% using a rule of three considering that you know that 24% of his daily yoga practice is equal to 18 minutes:

24%    →    18

100%   →     x

x=(100*18)/24=75

As you need to find how many more minutes does Theo practice yoga on Saturday, you have to subtract 18 minutes that is the amount he has already spent practicing yoga from 75 that is the total amount of minutes he practices yoga:

75-18=57

According to this, Theo practices yoga on Saturday 57 more minutes.

Answer:

6/7

Step-by-step explanation:

First, cancel out 16 and 56 by a common factor of 8. The resulting expression is -2/5*-15/7. Then, simply 5 and 15 by a common factor of 5. Then, you will get: -2*(-3/7). The negatives cancel out, so the answer is 6/7.

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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The equation of line that is parallel to y = -4 and passes through the point (3,7) is y = 7

Since the line we want to find is parallel to y = -4, it has the same slope as y = -4, which is 0 (since the line is horizontal).

Now we can use the point-slope form of the equation of a line to find the equation of the line passing through the point (3,7) with slope 0

y - y1 = m(x - x1)

where (x1, y1) is the given point, and m is the slope.

Plugging in the values, we get

y - 7 = 0(x - 3)

Simplifying, we get

y - 7 = 0

y = 7

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What is the equation of a line that is parallel to y = -4 and passes through the point (3,7)?

Digby Corporation's retained earnings for the midyear on July 31st were $15.959 million.

The retained earnings refer to the portion of the company's accumulated profits that have not been distributed to common stockholders.

We can compute the retained earnings are the difference between the total assets and total liabilities and common stock since common stock plus retained earnings are equal to stockholders' equity.

Digby Corporation

Midyear ended July 31st

Cash of $2.010 million

Total Assets = $43.091 million

Total Liabilities of $25.862 million

Total Common Stock of $1.270 million

Total liabilities and common stock = $27.132 million ($25.862 + $1.270)

Total Assets = $43.091 million

Less total liabilities and common stock $27.132 million

Retained earnings = $15.959 million ($43.091 - $27.132)

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The correlation coefficient that indicates the strongest relation between two variables is option b. r=−.87. A correlation coefficient ranges from -1 to 1. Therefore, the answer is option b. r=−.87.

The absolute value of the correlation coefficient represents the strength of the relationship, while the sign indicates the direction of the relationship. In this case, the absolute value of -0.87 is larger than the other options, indicating a stronger relationship between the variables.

The correlation coefficient is a statistical measure that quantifies the relationship between two variables. It ranges from -1 to 1, where -1 represents a perfect negative correlation, 1 represents a perfect positive correlation, and 0 represents no correlation.

In this question, we are looking for the correlation coefficient that indicates the strongest relation between two variables. To determine the strength, we consider the absolute value of the correlation coefficient. The larger the absolute value, the stronger the relationship.

Option a has a correlation coefficient of -0.45, indicating a moderate negative relationship between the variables. Option c has a correlation coefficient of 0.69, indicating a moderately strong positive relationship. Option d has a correlation coefficient of 1.24, which is not possible as correlation coefficients must be between -1 and 1.

Option b, however, has a correlation coefficient of -0.87, which has the largest absolute value among the given options. This indicates a very strong negative relationship between the variables, making it the correct answer for the strongest relation.

Therefore, the answer is option b. r=−.87.

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Answer:

  18.8 inches

Step-by-step explanation:

You want the length of arc traveled by the tip of a 4" minute hand moving from 1:30 pm to 2:15 pm.

The time difference between 2:15 and 1:30 is 45 minutes, or 3/4 hour. The minute hand moves through an angle of 2π radians in 1 hour, so will move through an angle of (3/4)(2π) = 3/2π radians in 3/4 hour.

The length of an arc is given by the formula ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

Here, we have r = 4 in, and θ = 3π/2. The arc length is ...

  s = (4 in)(3π/2) = 6π in ≈ 18.8496 in

The minute hand moves through an arc of about 18.8 inches from 1:30 to 2:15.

Answer:

Maddie's work is correct.

Step-by-step explanation:

The equation that can be formed using the provided data is:

\(S=M-1\frac{3}{10}\)

And it is provided that, \(S=4\frac{7}{10}\)

Then the equation to solve for M is:

\(4\frac{7}{10}=M-1\frac{3}{10}\)

Solve for M as follows:

\(4\frac{7}{10}=M-1\frac{3}{10}\)

\(\frac{47}{10}=M-\frac{13}{10}\\\\M=\frac{47}{10}+\frac{13}{10}\\\\M=\frac{47+13}{10}\\\\M=\frac{60}{10}\\\\M=6\)

So, Matt ran 6 miles.

Maddie's work is correct.

Answer:

The answer is D

Step-by-step explanation:

Maddie’s work

Francis made an error in writing the explicit formula. The correct formula should be an = 4 * (1/4)⁽ⁿ⁻¹⁾, not an = 4 * (1/4)ⁿ⁻¹. The exponent should be (n-1), not just n, to correctly represent the sequence where the second term is 8 and the fourth term is 2.

To determine the error in Francis' formula, we need to apply it to the known terms of the sequence and see if it produces the correct values. For example, for the second term, n = 2, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)¹ = 4 * 1/4 = 1

But the second term of the sequence is 8, not 1. So the formula is incorrect.

Similarly, for the fourth term, n = 4, so using Francis' formula:

an = 4 * (1/4)⁽ⁿ⁻¹⁾ = 4 * (1/4)³ = 4 * 1/64 = 1/16

But the fourth term of the sequence is 2, not 1/16. So the formula is still incorrect.

Therefore, we can conclude that the formula written by Francis is not correct and needs to be corrected to accurately describe the sequence.

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The equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Given that the equation for the line is x, y, z, t.

The equation for the plane perpendicular to the given line can be calculated as follows:

Firstly, we know that the vector which is perpendicular to both the line and the plane is the direction of the plane.

Hence the direction of the plane is the cross product of the vector with the given line direction:⟨1, 0, 0, 0⟩ × ⟨x, y, z, t⟩= ⟨0t - 0z, 0z - 0t, 0y - xt, 0x - y⟩= ⟨0, 0, -xt, -y⟩Hence the direction of the plane is ⟨0, 0, -xt, -y⟩.

Now, we need to find any point (x0, y0, z0, t0) on the plane.

Let's assume that the point is (1, 0, 0, 0) since it lies on the line.

Then the equation of the plane can be obtained as:⟨0, 0, -xt, -y⟩ .

⟨(x-x_0), (y-y_0), (z-z_0), (t-t_0)⟩ = 0⟨0, 0, -xt, -y⟩ . ⟨(x-1), y, z, t⟩ = 0

The equation of the plane perpendicular to the line x, y, z, t is given as ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

Therefore, the equation of the plane is ⟨0, 0, -xt, -y⟩. ⟨(x-1), y, z, t⟩ = 0.

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Answer:

3 chocolate bars and 2 graham crackers

Step-by-step explanation:

8 times 3 equals 24

12 times 2 equals 24

Answer:

241

Step-by-step explanation:

Given the following :

Number of random samples surveyed = 45

Of the random samples surveyed, 21 expected to go on 3 vacations in the next year:

Total number of clients = 516

Percentage of random sample surveyed who intend to go 3 vacations in the next year :

(21 / 45) * 100

0.4666667 * 100 = 46.7%

That is 46.7% of surveyed sample intend to go on 3 vacations in the next year.

Therefore using these to make inference about the number of total client who will go on 3 vacations in the next year:

46.7% of total clients

(46.7 / 100) * 516

= 240.8

= 241 ( to the nearest whole number)

The flux of the vector field F = 3i+j-4k through the oriented rectangular region S is -3.

To compute the flux of the vector field F = 3i+j-4k through the oriented rectangular region S lying above the square D = {(x, y): 0 < x, y <1} in the zy-plane, we can use the divergence theorem, which states that the flux of a vector field through a closed surface is equal to the triple integral of the divergence of the vector field over the enclosed volume. Since S is not a closed surface, we need to add a surface to close it up.

Let R be the rectangle in the xy-plane with vertices at (0,0), (1,0), (1,1), and (0,1), and let T be the surface consisting of the top and bottom faces of the rectangular box with sides R × [0,2]. Then S is the boundary of T, oriented so that the normal points in the positive z direction.

The divergence of F is div F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z = 0 + 0 - 4 = -4. Therefore, by the divergence theorem,

flux of F through S = ∫∫S F · n dS = ∭T div F dV

= ∭T (-4) dV

= (-4) ∭T dV

= (-4) volume of T

The volume of T is the product of the area of R and the height of the box, which is 2. Therefore, the flux of F through S is

flux of F through S = (-4) volume of T = (-4) × 2 × area of R

= (-4) × 2 × 1 = -8.

Thus, the flux of F through S is -8.

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Answer:

b

Step-by-step explanation:

The distance Martin climbs in 60 minutes is 18 meters

From the question, we are to determine how many meters Martin can climb in 60 minutes

Let the distance he climbs in 60 minutes be x

From the given information,

Martin climbs 3 meters in the first 10 minutes

If Martin climbs 3 meters in 10 minutes

Then,

Martin will climb x meters in 60 minutes

Thus,

x × 10 = 3 × 60

Solve for x

10x = 180

x = 180/10

x = 18

Hence, the distance is 18 meters

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Answer:

60/15 =4, 45/15=-3

Step-by-step explanation:

Answer:

Because 4 and 3 both equally times by 15.

Step-by-step explanation:

4 × 15 : 3 × 15 = 60 : 45

The heights of married men are approximately normally distributed with a mean of 70 inches and a standard deviation of 2 inches, while the heights of married women are approximately normally distributed with a mean of 65 inches and a standard deviation of 3 inches. Consider the two variables to be independent. Determine the probability that a randomly selected married woman is taller than a randomly selected married man.

According to the problem statement, the two variables are independent. Therefore, we need to find the probability of P(Woman > Man).  We have the following information given: Mean height of married men = 70 inches Standard deviation of married men = 2 inches Mean height of married women = 65 inches Standard deviation of married women

= 3 inches We need to calculate the probability of a randomly selected married woman being taller than a randomly selected married man. To do this, we need to calculate the difference in their means and the standard deviation of the difference. \(μW - μM = 65 - 70 = -5σ2W - σ2M = 9 + 4 = 13σW - M = √13σW - M = √13/(√2)σW - M = 3.01\)Now, we can standardize the normal distribution using the formula,

(X - μ)/σ, where X is the value we want to standardize, μ is the mean of the distribution, and σ is the standard deviation of the distribution. \(P(Woman > Man) = P(Z > (W - M)/σW-M) = P(Z > (0 - (-5))/3.01) = P(Z > 1.66)\) Using the normal distribution table, we can find the probability of Z > 1.66 to be 0.0485. Therefore, the probability of a randomly selected married woman being taller than a randomly selected married man is 0.0485.

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Answer:

y=-x+5

Step-by-step explanation:

Since the slope you mentioned is -1, it is usually the same thing as -x.  Add 2 from 3 to get 5 as your y-intercept in which your slope should be y = -x + 5 as your result.

Answer:

5.6 inches

Step-by-step explanation:

It will not be reasonable to use regression line to predict the final exam score , the reason is explained below .

What is Regression Line ?

If data shows a linear relationship between two variables, then line that best fits this linear relationship is known as least-squares regression line.

it is given that ,

the student has missed 10 class periods .

we have to check whether it will be reasonable to use the least-squares regression line to predict the final grade for a student .

So , No , it will not be reasonable to use the least-squares regression line to predict the final grade for a student who has missed 10 class periods because 10 absent is outside the scope of the model.

Therefore , the correct option is (c) .

The given question is incomplete , the complete question is

Would it be reasonable to use the​ least-squares regression line to predict the final exam score for a student who has missed 10 class​ periods? Why or why​ not?

(a) No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n=10.

(b) ​Yes, because the purpose of finding the regression line is to make predictions outside the scope of the model.

(c) ​No, because 10 absent is outside the scope of the model.

(d) ​Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n=10.

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Answer:

22.5

Step-by-step explanation:

i have gotten this question before so im for sure its 22.5

Answer:

5.19

Step-by-step explanation:

23/62 = x/14

Cross multiply

322 = 62x

x = 5.1935

x = 5.19

Answer:

Step-by-step explanation:

a 23

b 43

c 56

The number of feet in the length of the handrail is 17.3 feet.

Pythagorean theorem, is a geometric theorem that the total of a squares on the sides of a right triangle equals the square upon that hypotenuse (a side opposite its right angle)—or, using familiar algebraic notation, the sum of squared on the hypotenuse equals the square also on hypotenuse.

H² = B² + P²

A spiral would be a shape that wraps around and around with each curve being higher or lower than the one before it.

Now, according to the question;

The simplest way to understand this is to assume that we may "unfold" this spiral to form a rectangle.

Its bottom part of rectangle is simply an arc length of a 3 ft radius circle spun around 270°= (3/4) of a full revolution.

Thus,

= (3/4)× (2\(\pi\)) ×(3)  

=  (9/2)×\(\pi\) ft

=   4.5×\(\pi\)  ft

The height of the staircase will be the side of rectangle = 10ft.

And the rectangle's diagonal will correspond to the length of a railing.

To solve this, we can apply the Pythagorean Theorem.

Handrail length = √ [ (4.5 ×\(\pi\))² + 10² ]  

Handrail length ≈  17.3 ft

Therefore, the the number of feet in the length of the handrail is 17.3 feet.

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The complete question is-

A spiral staircase turns 270° as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail?