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3 years ago

PLEASE SOLVE AL QUESTIONS, PLEASEEE!!

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

9514 1404 393

Answer:

a) 2

b) left: 3; lower right: 5

c) upper right: 53°; bottom: 82°

Step-by-step explanation:

a) The top side of polygon B is 5 units; the corresponding top side of polygon A is 2.5 units, so the dimensions of polygon A are multiplied by the scale factor 5/2.5 = 2 to give the dimensions of polygon B.

the scale factor is 2

b) Sides of polygon B are 2 times the length of the corresponding side of polygon A.

left side: 2×1.5 = 3

lower right side: 2×2.5 = 5

c) Corresponding angles of similar figures are congruent.

upper right angle: 53°

bottom angle: 82°

___

The arithmetic of problem 4 is correct as shown.

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

When testing a hypothesis about a single mean, if the sample size is 51 and the population standard deviation is known, the corr

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Answer:

z-statistic

Step-by-step explanation:

We have to identify the correct test statistic to use with the given conditions.

If the sample size is larger than 30, then the sample is considered to be large.
We are given a sample size of 51, which is a a large sample.
Also, the population standard deviation is known.
Thus, we use the z-statistic when testing a hypothesis about a single mean.
Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

where $\bar{x}$ is the sample mean, $\mu$ is the population mean, $\sigma$ is the population standard deviation and n is the sample size.

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