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Alinara [238K]
3 years ago
9

A random sample of museum visitors were asked whether they will purchase tickets to an upcoming exhibit. The resulting confidenc

e interval for the proportion of visitors who will purchase tickets is (0.1,0.2). What is the margin of error?
Mathematics
1 answer:
Vladimir [108]3 years ago
3 0

Answer:

the margin of error is 0.05

Step-by-step explanation:

Margin of error = confidence interval ÷ 2

MOE = CI ÷ 2

Confidence interval CI = 0.2 - 0.1 = 0.1

MOE = CI ÷ 2 = 0.1 ÷ 2 = 0.05

the margin of error is 0.05

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The circle below has center O, and its radius is 4 ft. Given that m ZAOB=50°find the length of the minor arc AB.
exis [7]

Answer:

The length of minor arc AB is \frac{10}{9} π  ft

Step-by-step explanation:

The formula of the length of an arc in a circle is L = \frac{\alpha }{360} × 2πr, where α is the central angle subtended by the arc, and r is the radius of the circle

∵ The radius of the circle is 4 ft

∴ r = 4

∵ ∠AOB is a central angle subtended by minor arc AB

∵ m∠AOB = 50°

∴ α = 50°

Substitute the values of r and α in the rule above

∵ L = \frac{50}{360} × 2π(4)

∴ L = \frac{10}{9} π

∴ The length of minor arc AB is \frac{10}{9} π  ft

7 0
3 years ago
Given f(x)=x2+2x−8, find f(−2).
Sloan [31]

Answer:

-8 is the answers for the question

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Which expressions are differences of squares?<br><br> Select each correct answer.
Alex_Xolod [135]

Answer:

The expression which denotes the differences of squares is

n² - 225

As here 225 is a square of 15.

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3 years ago
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What is question #10?
Anit [1.1K]

Answer:

It is two times greater

8 0
3 years ago
Read 2 more answers
Can someone help with number 20
enyata [817]

Answer:B: 36°


Step-by-step explanation:

We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.


Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.


If <BCA is x then so is <ABC.


Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.

3x+x+x=180

5x=180

x=36


If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°


3 0
3 years ago
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