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Vlad1618 [11]
2 years ago
15

Brian is having a baseball-shaped piñata at his birthday party. If the piñata has a diameter of 12 inches, approximately how man

y cubic inches of candy can it hold? (Use 3.14 for π.)
A. 150.72
B. 602.88
C. 7,234.56
D. 904.32
Mathematics
1 answer:
den301095 [7]2 years ago
7 0

Answer:

Option D. 904.32\ in^{3}

Step-by-step explanation:

we know that

The volume of the sphere (a baseball-shaped piñata ) is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=12/2=6\ in -----> the radius is half the diameter

\pi=3.14

substitute the values

V=\frac{4}{3}(3.14)(6)^{3}=904.32\ in^{3}

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Since the sample standard deviation is now known, we use the z-score test. The formula is given as:

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Where,

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Using the standard distribution table for z:

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2nd: Calculating for z when x = 14.6 lb

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Using the standard distribution table for z:

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Therefore the probability that the mean weight will be between 8.6 and 14.6 lb:

Probability (8.6 ≤ x ≤ 14.6 ) = 0.8849 - 0.2119

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Step-by-step explanation:

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I need help on problem 2 and 3.I want to know how to do it step by step.
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