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uranmaximum [27]

1 year ago

14

How can you use the quotients to determine similarity ?

2 answers:

Gekata [30.6K]1 year ago

4 0

Answer:

See below

Step-by-step explanation:

When two triangles are similar, all of their corresponding angles are the same, as well as a constant ratio of side lengths. This means that the quotient of the length of one of the triangles sides to the length of the other triangle's corresponding sides is the exact same as the quotient between any other pair of corresponding sides on the two triangles.

Hope this helps!

rewona [7]1 year ago

4 0

Answer:

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.

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A recent survey in the N.Y. Times Almanac indicated that 48.8% of families own stock. A broker wanted to determine if this surve

nasty-shy [4]

Answer:

There is enough statistical evidence to support the claim that the survey is not accurate.

Step-by-step explanation:

We have to perform a test of hypothesis on the proportion.

The claim is that the proportion of families that own stock differs from 48.8%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.488\\\\H_a:\pi\neq0.488$

The significance level is 0.05.

The sample. of size n=250, has a proportion of p=0.568.

$p=X/n=142/250=0.568$

The standard error of the proportion is

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.488*0.512}{250}}=\sqrt{0.00099}=0.032$

The z-statistic can now be calculated:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.568-0.488-0.5/250}{0.032}=\dfrac{0.078}{0.032}=2.4375$

The P-value for this two-tailed test is then:

$P-value=2*P(z>2.4375)=0.015$

As the P-value is smaller than the significance level, the effect is significant. The null hypothesis is rejected.

There is enough evidence to support the claim that the survey is not accurate.

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Answer:

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Step-by-step explanation:

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