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lutik1710 [3]
2 years ago
13

Please help with this question

Mathematics
1 answer:
sleet_krkn [62]2 years ago
8 0
160cm
Because since the formula is
V=1/3(Base Area) x h
V= 1/3 24 x h
1/3 of 24 is 8
V= 8 x h
Then height is 20cm
V = 8 x 20
V = 160
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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c
Anestetic [448]

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a) The mean is \mu = 60

b) The standard deviation is \sigma = 9

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when X = 55.5, Z = -0.5

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The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

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Since we also have that \mu = 55.5 + 0.5\sigma

55.5 + 0.5\sigma = 71.52 - 1.28\sigma

1.78\sigma = 71.52 - 55.5

\sigma = \frac{(71.52 - 55.5)}{1.78}

\sigma = 9

\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60

Question

The mean is \mu = 60

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