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3 years ago

Lamia has the letter cards A, H, M,

1 answer:

6 0

The probability that she will spell the word “MATH” is 1/24.

Explanation:

All possible arrangements = 4P4 = 4 x 3 x 2 x 1 = 24

Only 1 out of them will spell “MATHS”.

Therefore, the probability that she will spell the word “MATH” is 1/24.

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A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour

miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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

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

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 pvalue, we get the probability that the value of the measure is greater than X.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

$\mu = 600, \sigma = 50$

Which of the following conclusions is the most appropriate given this information?

Lasted 400 hours, so X = 400.

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

$Z = \frac{400 - 600}{50}$

$Z = -4$

4 standard deviations from the mean, so unlikely.

So the correct answer is:

A. Your battery is likely defective since such poor performance is extremely unlikely.

3 0

3 years ago

4 1/2+5 7/8<br><img src="https://tex.z-dn.net/?f=help%20%5C%3A%20please%20%5C%3A%20" id="TexFormula1" title="help \: please \: "

Rasek [7]

9/2+5/78
9/2+47/8
83/8
10 3/8
decimal form 10.375.
hope this helps!

7 0

3 years ago

Easy way to solve volume of cone

Zinaida [17]

A cone always contain a right angle.

To solve for the volume of a cone, we need to get the radius of the cone and its height.

Volume of a cone = π r² h/3

radius is the line from the center of the circle of the cone going to the edge of the circle.

height is the measurement of the cone from its pointy tip going downward.

Assuming the radius of the cone is 3 in. and its height is 6 inches.

Volume of a cone = π * r² * h/3
V = 3.14 * (3in)² * 6in/3
V = 3.14 * 9in² * 2in
V = 56.52 in³

8 0

4 years ago

Read 2 more answers

An organization will give a prize to a local artist. The artist will be randomly chosen from among 10 painters, 3 sculptors, and

Fofino [41]

The probability is 8/18 or 44%.

Since there are 3 sculptors and 5 photographers, and the question is asking for either a sculptor or photographer, you add them together. There are a total of 18 artists, and the probability is the chance of a certain thing happening over the total amount of things that can happen (i.e. a coin landing on heads is 50%).

The answer would be 8/18.

7 0

3 years ago

Read 2 more answers

One pipe can fill a tank in 15 hours, and a larger pipe can fill the same tank in 10 hours. If both pipes are used simultaneousl

satela [25.4K]

Answer:

5 hours

Step-by-step explanation:

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3 0

3 years ago