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3 years ago

Measure of angle LOI= 38 degrees Measure of angle JOP= 84 degrees Find measure of angle JKP

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

Answer:

The measure of angle JKP is 61°

Step-by-step explanation:

we know that

If the measure of angle m<LOI=38°

then

m arc IL=38° -----> by central angle

and

If the measure of angle m<JOP=84°

then

m arc JP=84° -----> by central angle

Remember that

The measure of the interior angle is the semi-sum of the arcs that comprise it and its opposite.

m<JKP=(1/2)[arc IL+arc JP]

substitute the values

m<JKP=(1/2)[38°+84°]=61°

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2 years ago

A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion

Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

$\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$ , where $\hat{p}$ = Sample proportion , n= sample size , z*= Critical z-value.

Let p be the proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

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Now , 90% confidence interval for p would be :

$0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})$

$=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)$

Hence, the required 90% interval = (0.5496, 0.5754)

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3 years ago

What is the distance between the coordinates (8,-5) and (8,13).

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Step-by-step explanation:

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2 years ago

Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.

natka813 [3]

Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please

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3 years ago