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alex41 [277]
3 years ago
13

Reggie Jackson, one of the great baseball batters of modern times, was called Mr. October by his fans because he seemed to excel

in the World Series. During the regular season, Reggie had 2584 hits in 9864 official at bats for a batting average (proportion of hits) of 0.262. During League Championship Series, he had 37 hits in 163 official at bats for a 0.227 batting average. During World Series play, he had 35 hits in 98 official at bats for a batting average of 0.357. Do you think the nickname is justified, based on the data
Mathematics
1 answer:
tiny-mole [99]3 years ago
4 0

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

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6 0
3 years ago
Solve for 9(p-4)=-18
statuscvo [17]
9(p - 4) = -18

Simplify our equation by multiplying the parenthesis out.

(9 × p) + (9 × -4) = -18

Simplify.

9p +  (-36) = -18

Get rid of parenthesis.

9p - 36 = -18

Now, since we're trying to isolate "p," we need to add 36 to both sides.

9p - 36 + 36 = -18 + 36

Simplify.

9p = 18

Divide both sides by 9.

9p ÷ 9 = 18 ÷ 9

Simplify.

p = 2

~Hope I helped! :)~
3 0
3 years ago
Container a and b hold 11,875 liters of water altogether. Container b holds 2,391 liters more than container a holds. How much w
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Container A holds x liters of water.
Container B holds 2391 liters of water more than container A, so container B holds x+2391 liters of water.
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x+x+2391=11875 \\
2x+2391=11875 \\
2x=11875-2391 \\
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5 0
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4 years ago
Please help i have 2 questions and the second question has 2 answer choices. thank you.
Damm [24]
Question 1:

The line segment with measure of 14 units is tangent to the circle, meaning that it is perpendicular to the radius.

Thus, we have a right triangle with legs of 14 and x and a hypotenuse of x+10.

Use the Pythagorean theorem to solve for x.

(x+10)^2=x^2+14^2

x^2+20x+100=x^2+196

Subtract both sides by x^2

20x+100=196

Subtract both sides by 100

20x=96

Divide both sides by 20

x=4.8

The third choice is your answer.

Question 2:

This question actually has 3 answers.

The answers to this question are the first, second, and fourth choice.

The first choice is correct because this is a property of a tangent line.
The second choice is also correct because this is also a property of the tangent line.
The third choice is incorrect because the tangent line only intersects the radius at the end of the radius.
The fourth choice is correct because that's what a tangent is.
The fifth choice is incorrect because that's actually a property of a secant, not a tangent.
The last choice is incorrect because there are infinitely many lines tangent to a single circle.
3 0
3 years ago
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