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iren [92.7K]
3 years ago
15

Find the volume of a pyramid with a square base, where the side length of the base is

Mathematics
2 answers:
Irina18 [472]3 years ago
8 0

Answer:

V = 16 89.3 ft^3

Step-by-step explanation:

The volume of a pyramid of base b and height h is

V = (1/3)(base)(height), which in this case is:

V = (1/3)(18.2 ft)^2*(15.3 ft)

Evaluating this with a calculator, we get V = 16 89.3 ft^3

nalin [4]3 years ago
6 0
1689.32 hope this helps
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Help me please and thank you
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Answer:

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Step-by-step explanation:

The formula to find the slope of two points is \frac{y_2-y_1}{x_2-x_1}. Now, we plug in the values of (8,-6) and (11,-12) and simplify.

  • \frac{(-12)-(-6)}{(11)-(8)}
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Therefore, the slope is -2.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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2 years ago
After y’all answer this come back for part b
Rom4ik [11]

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Step-by-step explanation:

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2 years ago
g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm
spayn [35]

Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that \sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

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

By the Central Limit Theorem

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

Z = \frac{75 - 70}{2.44}

Z = 2.05

Z = 2.05 has a pvalue of 0.98.

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

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