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3 years ago

Please helpp! thank you

Mathematics

1 answer:

Olin [163]3 years ago

7 0

Answer:

y=5 in. x=2.5 in.

Step-by-step explanation:

figure out the ratio of sides between the triangles.

4 in. and 2 in. are a pair, 5 in. and x in. are another pair and y+1 in. and 3 in. is the last pair.

looking at 4 in. and 2 in. the ratio is 1/2.

multiply 5 by 1/2 to get x.

5*1/2=2.5 x=2.5 in.

since we know what the ratio is going from the bigger triangle to the smaller triangle, the reciprocal of the ratio will take us from the smaller triangle to the larger one. the reciprocal of 1/2 is 2. taking this information multiply 3 by 2 to get y+1.

3*2=6

y+1=6

y=6-1

y=5 in.

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Step-by-step explanation:

We are given that an organization asked 1403 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 737 responding yes.

We have to conduct a test to determine that a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

Let p = percentage of citizens feel the country could develop a way to protect itself from atomic bombs in 1945.

SO, Null Hypothesis, $H_0$ : p $\leq$ 50% {means that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs}

Alternate Hypothesis, $H_A$ : p > 50% {means that majority of the citizens feel the country could develop a way to protect itself from atomic bombs}

The test statistics that will be used here is One-sample z proportion statistics;

T.S. = $\frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }$ ~ N(0,1)

where, $\hat p$ = proportion of citizens responding yes in a sample of 1403 citizens = $\frac{737}{1403}$

n = sample of citizens = 1403

So, test statistics = $\frac{\frac{737}{1403} -0.50}{{\sqrt{\frac{\frac{737}{1403}(1-\frac{737}{1403})}{1403} } } } }$

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Therefore, we conclude that majority of the citizens does not feel the country could develop a way to protect itself from atomic bombs.

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