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3 years ago

Which one of the following are true

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

4 0

I say B it intercepts both axis

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Triangle ABC is similar to triangle QRS by the AA Similarity Postulate. Also, m∠A = 32° and m∠S = 102°. What is m∠B?

nignag [31]

The sum of interior angles of any polygon is:

s=180(n-2)

Since we are dealing with a triangle:

s=180(3-2)

s=180°

That is, the sum of angles of any triangle is 180°.

In this case we are given two angles with measures of 32° and 102° so

a+b+c=180

32+b+102=180 combine like terms on left

b+134=180 subtract 134 from both sides

b=46°

5 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

You can buy 5 items for $10, how much will it cost for 8 items?

shtirl [24]

Answer:

$16

Step-by-step explanation:

Looking at the Price for 5 Items (10 dollars), That means the Price Per Item Is 2 dollars. Now we know the Cost per Item, We need to multiply the Cost per item by 8 (2*8) making it 16.

4 0

3 years ago

Read 2 more answers

Multiply me by 4 then subtract 13 if you divide me by 3 and add 17 you get 22

8_murik_8 [283]

You have to do the opposite

22-17=5
5x3=15
15+13=28
28/4=7

The answer is 7. You can check this by doing what it says and if it makes 22, it’s correct. (I’ve already checked it) :)

6 0

3 years ago

A restaurant has 60 plates.One night, 9 groups of 6 people ate dinner at the restaurant at the same time.How many plates were no

SSSSS [86.1K]

6 plates were not used

9*6=54
60-54=6

8 0

3 years ago

Read 2 more answers