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Ann [662]
3 years ago
15

HELP!!!! SHOW WORK TOOO!

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer: Try C

Step-by-step explanation:

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The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of
SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples 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}

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.

In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

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

Z = \frac{21 - 20.8}{4.5}

Z = 0.04

Z = 0.04 has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

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

Z = \frac{23 - 20.8}{4.5}

Z = 0.71

Z = 0.71 has a pvalue of 0.7611

X = 18

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

Z = \frac{18 - 20.8}{4.5}

Z = -0.62

Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0
3 years ago
0.4y − 0.2y + 10 = 11.8
mixer [17]

Answer:

0.2y+10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Does the data support the hypothesis explain why? Plz quick
Ratling [72]

Answer:

what is the hypothesis claim?

hypothesis is basically what you expect to happen, so I guess if your hypothesis is similar to the data you've collected yes it does support it.

8 0
3 years ago
Some students spend these amounts in a cafe. £2.50, £3, £1, £4, £0.50,
maks197457 [2]

Step-by-step explanation:

For finding range we will arrange it from least to greatest

0.50 1 1 1 1 2.50 2.50 3 4

So range = 4 - 0.50 = 3.50

6 0
3 years ago
Solve the system of linear equations 2x -3y =1 -4x+6y=-4
ella [17]

Answer: the system of linear equations has no solutions.

Step-by-step explanation:

The given system of linear equations is expressed as

2x -3y =1 - - - - - - - - - - - - -1

-4x+6y=-4 - - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 2 and equation 2 by 1. It becomes

4x - 6y = 2

- 4x + 6y = - 4

Adding both equations, it becomes

4x - 4x - 6x + 6x = 2 - 4

0 = -2

Therefore, there is no solution to the system of linear equations

6 0
3 years ago
Read 2 more answers
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