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zvonat [6]
3 years ago
6

In the image, shape ABCD is similar to shape WXYZ. Find the measure of side ZW.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
6 0

Solution:

we are given that

In the image, shape ABCD is similar to shape WXYZ.

we have been asked to find the measure of side ZW.

As we know that when two shapes are similar then the ratios of their corresponding sides are equal.

So we can write

\frac{zw}{6}= \frac{18}{24}\\
\\
ZW=6*\frac{18}{24}\\
\\
ZW=\frac{18}{4}\\
\\
ZW=4.5\\

Hence ZW=4.5 Inches.

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I believe it would be 3 feet high
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3 years ago
Please help me haha!
DanielleElmas [232]

Answer:

w=4

Step-by-step explanation:

2+6=8

8/2=4

w is 4 because half of 8 is 4.

Honestly this is my best guess idk.

5 0
3 years ago
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What is the value of this expression? 4/15+3/5−2/3 Quick
VMariaS [17]

Answer:

I  think that would be 1/5

Explanation:

Hope this helps!

3 0
2 years ago
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
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VashaNatasha [74]
If the question is what I think it is, then it's simple. All you need to do is divide 420 by 15; and you'll get the answer: 28.
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