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2 years ago

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George decides to walk from his home to Tina’s house down the street. On the way, he stops at the gas station to get some snacks

. He begins at (2,3), ends at (x,y), and stops at the gas station at (5,9). If the part to whole ratio is 3/7.
x is____. and y is____.

1 answer:

Solnce55 [7]2 years ago

8 0

Answer:

X=12 and Y=23

Step-by-step explanation:

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A survey found that 89% of a random sample of 1024 American adults approved of cloning endangered animals. Find the margin of er

Kobotan [32]

Answer:

The margin of error for the survey is 0.016

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1024

Sample proportion:

$\hat{p} = 89\% = 0.89$

We have to find the margin of error associated with a 90% Confidence interval.

Formula for margin of error:

$z_{stat}\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.10} = 1.64$

Putting the values, we get:

$M.E = 1.64\times (\sqrt{\dfrac{0.89(1-0.89)}{1024}})\\\\M.E=0.016$

Thus, the margin of error for the survey is 0.016

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2 years ago

Complete the equation of the line through (2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (4,1)(4,1)left

Daniel [21]

Answer:

$y=\frac{3}{2}x-5$

Step-by-step explanation:

There are a couple of ways to solve this, depending on what you already know.

Point-Slope Form

$y-y_1=m(x-x_1)$ where <em>m</em> is the slope and $(x_1, y_1)$ is a point on the line.

First, calculate the slope using the two given points $(x_1, y_1), (x_2, y_2)$ .

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-2)}{4-2}=\frac{3}{2}$ .

Fill in the point-slope pattern

$y-(-2)=\frac{3}{2}(x-2) \\ y+2=\frac{3}{2}x-3 \\ y=\frac{3}{2}x-5$

There's the equation in slope-intercept form ( $y=mx+b$ ).

Slope-Intercept Form

Use $y=mx+b$ directly.

Find the slope just like the above, so $m=\frac{3}{2}$ .

Now, plug one of the points (either one!) together with <em>m</em> into

$y=mx+b\\-2=\frac{3}{2}(2)+b \\ -2=3+b \\ b=-5$

Now you know the value of <em>b</em>, so the equation for the line is

$y=\frac{3}{2}x-5$

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2 years ago

The distance between Cincinnati, Ohio, and charlotte, North Carolina, is about 336 miles.The distance between Cincinnati and Chi

bija089 [108]

Cincinnati Ohio à<span> Charlote North CA = a total of 336 miles
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=> 336 miles + 247 Miles
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Penny drove for a total of 583 miles from Charlotte to Cincinnati to Chicago.

</span>

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sukhopar [10]

Try this solution (see the attachment, it is consists of 3 steps).

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