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2 years ago

If mZXWZ 90, what is -22 Ep (52 4 5 W

Mathematics

1 answer:

Vika [28.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

From the question the total angle here is 90° that means the angles are complementary.

Complementary angles are angles that add up to 90°

To find the value of x add the individual angles that's $\angle$ ZWY and $\angle$ XWY and equate it to

m $\angle$ XWZ that's 90°

So we have

$\angle$ ZWY + $\angle$ XWY = m $\angle$ XWZ

2x + 8 + 5x + 5 = 90

7x + 13 = 90

7x = 90 - 13

7x = 77

Divide both sides by 7

We have the final answer as

Hope this helps you

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In a Gallup poll, 1025 randomly selected adults were surveyed and 29% of them said that they used the Internet for shopping at l

svetoff [14.1K]

Answer: (0.25,0.33)

Step-by-step explanation:

A 99% confidence interval for population proportion is given by:-

$\hat{p}\pm 2.576\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = sample proportion, $n$ = sample size.

Given: $n=1025, \hat{p}=0.29$

A 99% confidence interval estimate of the proportion of adults who use the Internet for shopping:

$0.29\pm 2.576\sqrt{\dfrac{0.29(1-0.29)}{1025}}\\\\=0.29\pm 2.576\sqrt{0.00020087804878}\\\\=0.29\pm2.576(0.01417)\\\\=0.29\pm0.03650192\\\\=(0.29-0.03650192,\ 0.29+0.03650192)\\\\=(0.25349808,\ 0.32650192)$

$\approx(0.25,\ 0.33)$

Thus, a 99% confidence interval estimate of the proportion of adults who use the Internet for shopping = (0.25,0.33)

5 0

3 years ago

.Jim opened an account with $400. The account pays three percent quarterly. How much is in the account at the end of two years?

podryga [215]

We may have this planned like this:
two years is 8 quarters
<span>Assuming simple interest, </span>
You will use the formula
<span>A = P(1+rt) </span>
<span>= 400(1+8*.03) </span>
<span>= 496
</span>I think this is the answer:) Hope it helps a lot

7 0

3 years ago

In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 199

belka [17]

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season, Derek Jeter David Justice

1995, 12/48 = 0.250 104/411 ≈ 0.253

1996, 183/582 ≈ 0.314 45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27

Which shows that Derek Jeter's overall average was better than Justice's average

7 0

2 years ago

What is r in this equation? <br>πr^2=42π

kupik [55]