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TEA [102]
3 years ago
5

Find the value of x in Circle O.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

x=8

Step-by-step explanation:

x^2+15^2=17^2, x=sqrt(64)=8

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Joe heard from a reliable source that only 22% of people actually sleep 8 hours or more per night. You do a survey and find 58 o
Juliette [100K]

Answer:

95% Confidence interval:  (31.32%,47.04%)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 148

Number of people who sleep for 8 hours or longer, x = 58

\hat{p} = \dfrac{x}{n} = \dfrac{58}{148} = 0.3918

95% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting the values, we get:

0.3918\pm 1.96(\sqrt{\dfrac{0.3918(1-0.3918)}{148}})\\\\ = 0.3918\pm 0.0786\\\\=(0.3132,0.4704)=(31.32\%,47.04\%)

(31.32%,47.04%)  is the required 95% confidence interval.

8 0
3 years ago
If 3^4(81^2) = 3^n, what is n?
Mama L [17]

Answer:

n = 16

Step-by-step explanation:

3^4(81^2) = 3^n

3^4(3^4) = 3^n

3^16 = 3^n

n = 16

8 0
3 years ago
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t
Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

!!

8 0
3 years ago
HELP!!!!
Olin [163]
So if she picked 32 apples on Tuesday, and she picked 15 more apples than on Monday, then she picked 17 apple on Monday, because 17+15=32. A=17
6 0
3 years ago
30 ft
LekaFEV [45]

Answer:30+15

Step-by-step explanation:

4 0
3 years ago
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