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Gekata [30.6K]
3 years ago
7

Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c

=? d=?)

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

a = 60°/2 = 30°

b = 84/2 = 42°

c = (100+60)/2 = 80°

d = 360-100-60-84 = 116°

Answered by GAUTHMATH

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A survey of households in a small town showed that in 850 of 1,200 sampled households, at least one member attended a town meeti
Iteru [2.4K]

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are  

Sample size = n = 1200  

x = 850  

Sample proportion is  

\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083  

We have to construct 99% confidence interval for the population proportion.  

Formula Used:  

(\hat{p}-E , \hat{p}+E)  

Here E is a margin of error.  

E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}  

Zc = 2.58  

E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339  

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

                                            = ( 0.6745 , 0.7422).

3 0
3 years ago
Find the value of the combination.<br><br> 21 C 3<br><br> 7,980<br> 2,660<br> 1,330
erik [133]
To evaluate the combination we proceed as follows:
21C3
Given nCk we shall have:
n!/[(n-k)!k!]
thus plugging the values in the expression we get:
21!/[(21-3)!3!]
=21!/(18!×3!)
=1330
Answer: 1330
4 0
3 years ago
Jay bought a guitar on sale at 45% off. The original price was $576.75.
topjm [15]

Answer:

317.21 (sales price)

259.53 (discount amount)

Step-by-step explanation:

First, we need to divide.

576.75/100=5.7675 (note that I will be rounding at the end)

5.7675 x 55 (100-45) = 317.2125

Rounds to: 317.2<u>1</u>

<u></u>

Now, we need to find the discount amount.

 576.75

-317.21

=259.53

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3 years ago
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Tpy6a [65]

Answer:

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Step-by-step explanation:

7 0
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