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OleMash [197]
2 years ago
7

Write the equation in slope-intercept form: answers y=1/2x, y=3x+1/2, y=1/2x+3, y=2x+3

Mathematics
1 answer:
AleksandrR [38]2 years ago
6 0

The equation in the slope-intercept form is:

y = (1/2)*x + 3

<h3>How to write the equation?</h3>

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

To get the slope, we need two points on the line, by using the graph we can identify the points: (0, 3) and (2,4)

Then the slope is:

a = \frac{4 - 3}{2 - 0} = 1/2

And we also can see that the y-intercept is y = 3, because of the point (0,3)

Then the line is:

y = (1/2)*x + 3

If you want to learn more about lines you can read:

brainly.com/question/1884491

#SPJ1

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As discussed in Exercise 6.10, the General Social Survey reported a sample where about 61% of US residents thought marijuana sho
Maslowich

Answer: 2285

Step-by-step explanation:

Formula to find the sample size is given by :-

n=p(1-p)(\dfrac{z_c}{E})^2

, where p = prior estimate of population proportion.

E= Margin of error.

z_c = z-value for confidence interval of c.

Given : Confidence interval : 95%

From the z-value table , the z-value for 95% confidence interval = z_c=1.96

The General Social Survey reported a sample where about 61% of US residents thought marijuana should be made legal.

i.e. the prior estimate of population proportion of US residents thought marijuana should be made legal : p=0.61  

 [∵ sample proportion is the best estimate for population proportion.]

Margin of error : E= 2%=0.02

Now, the required minimum sample size would be :-

n=0.61(1-0.61)(\dfrac{1.96}{0.02})^2

Simplify ,

n=0.2379\times9604=2284.7916\approx2285

Thus , we need to survey <u>2285</u> Americans .

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3 years ago
Andrea made a replica of the Empire State Building. The surface area of the model is 45 ft2. What is the surface area of the act
melamori03 [73]

Answer:

<u>87,120 ft²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Surface area of the Empire State building replica = 45 square feet

Scale factor = 44

2. What is the surface area of the actual Empire State Building in square feet?

For answering the question, we will make the following calculations:

45 square feet = 9 feet * 5 feet or,

45 square feet = 10 feet * 4.5 feet, or,

45 square feet = 20 feet * 2.25 feet.

Now, let's apply the scale factor to all of these probable lengths of the sides of the surface area of the replica, as follows:

(9 *44) * (5 * 44) = 396 * 220 = 87,120 ft²

(10 * 44) * (4.5 * 44) = 440 * 198 = 87,120 ft²

(20 * 44) * (2.25 * 44) =  880 * 99 = 87,120 ft²

<u>As we proved, no matter what are the lengths of the sides of the surface area of the replica. after applying the scale factor, the result is the same: 87,120 ft²</u>

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The difference of x and 18 is greater than or equal to -12<br><br>its a inequality question
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Writing the word problem as an equation you get:

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x ≥ -12 + 18

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