Find the value of y if x = 174

Answer:

$0.60

Step-by-step explanation:

Given that:

The ratio of number of cookies to the cost of cookies as:

Number of cookies : Cost of cookies = 15 : 9

It means, we get 15\(x\) number of cookies when we pay $9\(x\).

To find:

An equivalent ratio to represent the cost of 1 cookie.

Solution:

Here, we have to find nothing but the unit price or the price of 1 cookie.

This can simply be done by dividing the total cost of cookies with the total number of cookies.

Total cost of 15\(x\) cookies is given as $9\(x\)

Using unitary method:

Let us divide both the sides with 15\(x\), we get:

Total cost of \(\frac{15x}{15x}\) cookies is given as \(\frac{\$9x}{15x}\)

Total cost of 1 cookie is given as $0.60

Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Answer:

its attatched

(3,1) is the coordinates of the center in hyperbola curve.

To find the center of a hyperbola:

Locate the midpoint between the two vertices. The center of a hyperbola is the point that lies in the middle of the transverse axis, which connects the two vertices.

In this scenario, the vertices of the hyperbola are given as (1, 1) and (5, 1).

We know, the x-coordinate of the midpoint is the average of the x-coordinates of the vertices, and the y-coordinate of the midpoint is the average of the y-coordinates of the vertices.

Applying this formula:

x-coordinate of the midpoint = (1 + 5) / 2 = 6 / 2 = 3

y-coordinate of the midpoint = (1 + 1) / 2 = 2 / 2 = 1

Therefore, the coordinates of the center of the hyperbola are (3, 1). This point will serves as the center from which the hyperbola curves in its characteristic shape.

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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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The acronym for the United States Pro Soccer organization is USSF.

An acronym is the shortened form of a word. In the given puzzle, we get a hint of the professional organization being referred to in the upper right corner of the puzzle.

USSF is a short term for the United States Soccer League and it is also known as the American Soccer Pyramid. This organization takes care of both amateur and professional teams in the United States.

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Answer:

The number of possible outcomes divided by the total number of outcomes.

Step-by-step explanation:

hope it helps :)

Answer:

\(c \: (x + 5)(x - 1)\)

The answer to the equation A=h(B+b) is 4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation

From the given question

A=h(B+b);

when A=60, B=8, b=7

substituting the values into the equation

60= h(8+7)

60=h(15)

Expanding the bracket

60=15h

dividing both sides by 15

h=60/15

h=4

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Answer: P= 5 Hope I helped you

Answer:

que

Step-by-step explanation:

no Tengo carnitas yo quero sopes

Answer:

3.2 x 105

Step-by-step explanation:

its simple

Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

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The exponential function for the new participants is f(x) = 3 * 4^x

Let's start with the initial number of participants who sent selfies on Day 0.

We know that Aliyah, Kim, and Reese each sent selfies to 4 friends, so there are 3 x 4 = 12 participants on Day 1.

On Day 2, each of these 12 participants will send selfies to 4 friends, so we will have 12 x 4 = 48 new participants.

We can see that the number of new participants each day is increasing exponentially. In fact, the number of new participants each day is multiplied by 4, since each participant sends selfies to 4 friends.

Therefore, we can write an exponential function of the form:

f(x)=a * 4^x

Where x is the number of days since the challenge started, and $a$ is the initial number of participants who sent selfies on Day 0.

We know that a = 12 from our earlier calculations.

So, we have

f(x) = 3 * 4^x

Hence, the function is f(x) = 3 * 4^x

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Answer:

6 minetes? how does this work?

Step-by-step explanation:

Answer:

The value of X is $5

Step-by-step explanation:

Step-by-step explanation:

We have $50 - $33 + $x = $28.

=> $17 + $x = $28

=> $x = $11

Therefore Kadence deposited $11 into her account.

The value of x is 11.

The smallest distance of the line to the point is of:

5.36 units.

Suppose the line is defined as follows:

ax + by + c = 0.

The coordinates of the points are as follows:

(x0,y0).

Then the shortest distance of the point to the line is:

D = |a(x0) + b(y0) + c|/sqrt(a²+b²).

In this problem, the line goes through these two points:

(2/7, 3) and (-2,11).

The slope is given by the change in y divided by the change in x, hence:

m = (11 - 3)/(-2 -2/7) = -3.5.

Then:

y = -3.5x + b.

When x = -2, y = 11, hence the intercept is calculated as follows:

11 = -3.5(-2) + b

11 = 7 + b

b = 4.

Then the line is:

y = -3.5x + 4.

3.5x + y - 4 = 0. (standard format, a = 3.5, b = 1).

The coordinates of the point are as follows:

(x0,y0) = (-3,-5).

Then the shortest distance is:

D = |3.5(-3) + 1(-5) - 4|/sqrt(3.5²+1²).

D = 19.5/sqrt(3.5²+1²).

D = 5.36 units.

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For this analysis,  4/25  is the f-ratio.

What is f- ratio?

SS between = 30

SS within = 60

Mean square of regression = 30/2 = 15

Mean square of error = 60/15 = 4

So f ratio = 15/4 = 3.75

So it's answer is D.

Solution(15)

Df between = Df total - Df within = 29-27 = 2

So it's answer is b. I.e. 2

Solution(16)

If Df = 18 and there are two independent sample than total sample size = 18+2 = 20

So it's answer is A

Solution(17)

N1=10

N2 = 15

So DF = 10+15-2 = 23

So it's answer is C. I.e. 23

Solution(18)

D = (M1-M2)/spooled = (35-31)/25 = 4/25

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Answer:  D

Step-by-step explanation:

We're given a point (a,b) that happens to be on the unit circle, a²+b²=1, so a is the cosine of the angle θ and b is its sine.

Answer:

option 4

Step-by-step explanation:

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

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There are 13 elements of the sample space that will have a green ball.

The various ways in which objects from a set may be selected, generally without replacement, to form subsets.

Since, when a green ball is drawn, three coins are tossed. So, sample points are  OHHH, OHHT, OHTH, and OHTT. OTHH, 0THT, OTTH, OTTT

So, clearly, 9 sample points will have an orange ball.

When a blue ball is drawn, two coins are tossed. So, sample points are BHH, BHT, BTH, and BTT.

So, clearly, 4 sample points will be when a blue ball is drawn.

Total samples points=4+9=13

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The correct option regarding the sampling distribution of p, considering the Central Limit Theorem, is given as follows:

D. The shape of the sampling distrbution of p is approximately normal because n <= 0.05N and np(1 -p) > 10.

The mean of the sampling distribution of p is of:

0.388.

The standard deviation of the sampling distribution of p is of:

0.0184.

The Central Limit Theorem defines the distribution of the sampling distribution of sample proportions of a proportion p in a sample of size n, in which:

As long as these two conditions are respected:

The values of the parameters in this context are given as follows:

N = 30000, n = 700, p = 0.388.

Hence the conditions are:

Then the shape is approximately normal and option D is correct.

The mean of the distribution is of:

\(\mu = p = 0.388\)

The standard error of the distribution is of:

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.388(0.612)}{700}} = 0.0184\)

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Answer:

81.9 turns

Step-by-step explanation:

100 yd = 36 × 100 in. = 3600 in.

C = πd

C = 3.14 × 14 in. = 43.96 in.

3600/43.96 = 81.9

Answer: 81.9 turns

To approximate the given number 8,550 using Newton's method, we first need to find a suitable function with a root at the given value. Since we're trying to find the square root of 8,550, we can use the function f(x) = x^2 - 8,550. The iterative formula for Newton's method is:

x_n+1 = x_n - (f(x_n) / f'(x_n))

where x_n is the current approximation and f'(x_n) is the derivative of the function f(x) evaluated at x_n. The derivative of f(x) = x^2 - 8,550 is f'(x) = 2x.

Now, let's start with an initial guess, x_0. A good initial guess for the square root of 8,550 is 90 (since 90^2 = 8,100 and 100^2 = 10,000). Using the iterative formula, we can find better approximations:

x_1 = x_0 - (f(x_0) / f'(x_0)) = 90 - ((90^2 - 8,550) / (2 * 90)) ≈ 92.47222222

We can keep repeating this process until we get an approximation correct to eight decimal places. After a few more iterations, we obtain:

x_5 ≈ 92.46951557

So, using Newton's method, we can approximate the square root of 8,550 to be 92.46951557, correct to eight decimal places.

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Answer:

The answer is -3<x≤2

Answer:4x+11

Step-by-step explanation:

The parenthesis are useless so you just combine like terms

The predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75  degree fahrenheit.

Given the equation that expresses the temperature, in degrees fahrenheit, in London during a day in august as;

t(x) = 9sin(0.4x - 4) + 74,

where;

x is the number of hours after midnight.

If the time is 9pm after midnight, the total number of hours will be 21 hours

Substitute x = 21 into the function to have;

t(21) = 9sin(0.4(21) - 4) + 74

t(21) = 9sin(4.4) +74
t(21) = 9(0.0767)+74

t(21) = 74.69 degree fahrenheit,

Hence  the predicted temperature to the nearest degree fahrenheit, at 9 p.m. is 75  degree fahrenheit.

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The predicted temperature is 75° Fahrenheit

Trigonometric functions show the relationship between the sides and angles of a triangle.

Analysis:

t(x) = 9sin(0.4x - 4) + 74

since it is 9pm, which is 21 hours from 12 midnight, x = 21

t(21) = 9 sin( 0.4 x 21 - 4) + 74 = 75° Fahrenheit

In conclusion, the predicted temperature at 9pm is 75° Fahrenheit

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1) rewrite the equation by completing the square

(X+4)^2=9

2) what are the solution to the equation

Answer A= X=-4 plus and minus 3

Answer:

7 over 2x-2

Step-by-step explanation:

Answer:

g^-1 •7

7g^-1

7•1/g

answer is 7/g

I hoped I helped!! :)