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marin [14]
3 years ago
15

30 points pls answer

Mathematics
2 answers:
Bad White [126]3 years ago
6 0
A) 2 * 3 * 4 = 24

b) (2 * 3 + 2 * 4 + 3 * 4) * 2 = 52
tia_tia [17]3 years ago
5 0
(a) What is the capacity of the container?Volume = length * width * heightV = 4ft * 2ft * 3ftV = 24 ft³
(b) How much material was used to make the container?Surface area = sum of 6 faces of the prism4 ft x 3 ft = 12 ft² → 12 ft² x 2 = 24 ft²4 ft x 2 ft = 8 ft² → 8 ft² x 2 = 16 ft²2 ft x 3 ft = 6 ft² → 6 ft² x 2 = 12 ft²
Surface area = 24 ft² + 16 ft² + 12 ft² = 52 ft²hope this helps
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Answer:

y=1.3 x - 0.21

Step-by-step explanation:

y = (slope) \times x + (constant)

set (-2.3,-3.2) in above

- 3.2 = 1.3 \times ( - 2.3) + c

then c=-0.21

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I need help with this(explain). what is the value of the expression 2x^2 + 3xy - 4y^2 when x=2 and y= -4 ​
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Step-by-step explanation:

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3 years ago
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A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 establishes 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.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
3 years ago
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