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3 years ago

In similar triangles, corresponding angles are congruent. True False

Mathematics

2 answers:

Kisachek [45]3 years ago

6 0

True because they are the same shape but not necessarily the same size.

Mamont248 [21]3 years ago

5 0

I got true

i hope this helps

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supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are

Simora [160]

<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

$\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu$

, where n= sample size

$\overline{x}$ = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : $df=n-1=24$

$\overline{x}= \$93.36$

$s=\ $19.95$

Significance level for 98% confidence interval : $\alpha=1-0.98=0.02$

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

$t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922$

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

$93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu$

$=93.36-9.943878< \mu$

$=83.416122< \mu$

Hence, the 98% confidence interval for the mean repair cost for the dryers. = $83.4161$

4 0

3 years ago

This table shows Jill's math quiz scores. What is the minimum score she needs on her next

Wewaii [24]

I think 90 im not sure tho i searched it up

6 0

3 years ago

About 6% of the population has a particular genetic mutation. 600 people are randomly selected. find the standard deviation for

Rina8888 [55]

Assume a binomial distribution. Then the mean of the distribution is $np$ , where $n$ is the number of people taken in a sample and $p$ is the probability of the mutation occurring in any given person, and the standard deviation is $\sqrt{np(1-p)}$ . Then in this case, the standard deviation is $\sqrt{600(0.06)(0.94)}\approx5.82$ .