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Zina [86]
3 years ago
9

I am stuck on how to solve this problem. Any help is appreciated.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0

Answer:

y = 2/7x - 1

Step-by-step explanation:

You are trying to put it in the form y = mx + b where m is the slope and b is the y-intercept.

To start, find the slope by doing change in y (between the two points) divided by change in x (between the two points). This would be:

3 - (-3) (change in y) / 14 - (-7) (change in x)

= 6/21

= 2/7

So the slope is 2/7.

Then, you have the equation y = 2/7x + b.

Since you know the point (14, 3) works, you know x = 14 and y = 3 is a solution to the equation. You can plug in those values which would be:

3 = 2/7 * 14 + b

3 = 4 + b

-1 = b

So that means the equation is y = 2/7x - 1

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Line segment pq shown on the graph below, is rotated 90 counterclockwise about point q to form pq
USPshnik [31]

Answer:

this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”

(i’m doing the test rn)

4 0
3 years ago
Read 2 more answers
A study of 4,430 U.S. adults found that 2,913 were obese or overweight. The 95% confidence interval for the proportion of adults
IrinaK [193]

Answer:

0.658 - 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.644

0.658 + 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.672

We are 95% confident that the true proportion of adults overweight is between 0.644 and 0.672

Step-by-step explanation:

We can begin founding the estimated proportion of people overweight:

\hat p =\frac{2913}{4430}= 0.658

We need to find a critical value for the confidence level using the normal standard distribution. We know that 95% is the confidence level, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion of interest is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing the data provided we got:

0.658 - 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.644

0.658 + 1.96\sqrt{\frac{0.658(1-0.658)}{4430}}=0.672

We are 95% confident that the true proportion of adults overweight is between 0.644 and 0.672

6 0
2 years ago
Find the midpoint of a segment with the given endpoints.<br> W(-1, 1), 0(5, -5) =
lianna [129]

Answer:

(2,-2)

Step-by-step explanation:

(5+(-1))/2=4/2=2

(-5+1)/=-4/2=-2

7 0
3 years ago
Solve the inequality. 2(4+2x)≥5x+5<br> x≤−2 <br> x≥−2 <br> x≤3<br> x≥3
KATRIN_1 [288]
<h2>Answer:</h2>

The solution of the inequality is:

                       x\leq 3

<h2>Step-by-step explanation:</h2>

We are given a inequality in terms of variable x as:

2(4+2x)\geq 5x+5

Now we are asked to find the solution of the inequality i.e. we are asked to find the possible values of x such that the inequality holds true.

We may simplify this inequality as follows:

On using the distributive property of multiplication in the left hand side of the inequality we have:

2\times 4+2\times 2x\geq 5x+5\\\\i.e.\\\\8+4x\geq 5x+5\\\\i.e.\\\\8-5\geq 5x-4x\\\\i.e.\\\\x\leq 3

The solution is:      x\leq 3

8 0
3 years ago
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4 over 25 as a decimal ​
BabaBlast [244]

Answer:

0.16

Step-by-step explanation:

Simply divide  4 by 25

4/25=0.16

Hope this helps : )

5 0
3 years ago
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