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Sonja [21]
3 years ago
10

Answer fast!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Veronika [31]3 years ago
7 0

Answer:

Choice b.

Step-by-step explanation:

170 is a little more than half of 330  so that's the onee.

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 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 normally distributed samples are 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
6 - 8x = 6x - 9x + 11
mars1129 [50]

6-8x=-3x+11

-8x+3x=11-6

-5x=5

x=-1

The first step is to isolate the variable, then you solve. Hope this helps, brainliest if you can.

6 0
3 years ago
Read 2 more answers
What is the solution to the equation 1 over 24 multiplied by x is equal to 1 over 6? :-)
Mumz [18]

Answer:

x= 144

Step-by-step explanation:

the answer written above is 100% WRONG, i looked it up on google and it gave me a straight up answer.

5 0
3 years ago
What is 40% of 1000 in need to know some help
loris [4]
The answer would be 400
3 0
3 years ago
Read 2 more answers
I have no idea i tried looking it up but i can not find the answer or help
zlopas [31]

Answer:

The answer is B-15:18 based on a 24hr clock

5 0
3 years ago
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