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lukranit [14]
3 years ago
6

The unit is geometry

Mathematics
1 answer:
Lynna [10]3 years ago
7 0
Hi there!

Let's use the formula of a sphere and divide it by two (for each hemisphere) to find the volume. Then, we'll create a ratio to figure out how many times larger the larger hemisphere is.

WORK:
Larger hemisphere:
V = 2/3(pi)(8^3)
V = 2/3(512pi)
V = 341.33pi
Smaller hemisphere:
V = 2/3(pi)(4^3)
V = 2/3(64pi)
V = 42.66pi
Ratio:
341.33/42.66
Approximately 4 times

ANSWER:
The larger hemisphere is approximately 4 times bigger than the smaller hemisphere
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At a z-score of 1.80, the percentage of the scores that are better than yours is equal to 3.59%.

<h3>What is a z-score?</h3>

In Mathematics, a z-score is sometimes referred to as a z-value or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

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Mathematically, the z-score of a given sample score in a normal distribution can be calculated by using this formula:

Z-score = (x - μ)/σ

Where:

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Since a score of 85 on a test corresponds to a z-score of 1.80, the percentage of the scores that are better than yours is given by:

P(x > 85) = P(z > 1.80)

P(z > 1.80) = 0.0359

P(z > 1.80) = 3.59%.

Read more on z-scores here: brainly.com/question/26714379

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