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3 years ago

I am very confused- Can someone help within an hour-

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

Answer: 195 CM

Step-by-step explanation:

Volume: Length x Width x Height

“First we have to break it into 2 shapes”

“Let’s solve the top shape!!”

The length is 5 the width is 3 and the height is 4.

Volume = 5 x 3 x 4 = 60

Now the bottom shape

The length is 9 the Width is 5 and the Height is 3

The height isn’t given so we must do some math

Subtract the 7 from 4 = 7 - 4 = 3

Volume = 9 x 5 x 3 = 135

Finally, 135 + 60 = 195 cm

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3 years ago

g Consider a brand of coffee. The weight of a pod of coffee this brand makes has mean 42.05 grams and standard deviation 0.025 g

Brums [2.3K]

Using the normal distribution, it is found that there is a 0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

The parameters are given as follows:

$\mu = 42.05, \sigma = 0.025, n = 25, s = \frac{0.025}{\sqrt{25}} = 0.005$

The probability that the mean weight of 25 pods of coffee is less than 42.035 grams is the p-value of Z when X = 42.035, hence:

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

$Z = \frac{42.035 - 42.05}{0.005}$

Z = -3

Z = -3 has a p-value of 0.0013.

0.0013 = 0.13% probability that the mean weight of 25 pods of coffee is less than 42.035 grams.

More can be learned about the normal distribution at brainly.com/question/4079902

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2 years ago