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aleksklad [387]
4 years ago
9

he lifespan of the Ebola virus on flat dry surfaces has a normal distribution with μ = 643.6 minutes and σ = 77.7 minutes. You m

onitor a random sample of size n = 61 . What is the mean of the distribution of sample means?
Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
5 0

Answer:

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes 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.

In this problem

The mean of the population is 643.6 minutes.

By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.

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Two numbers add up to 44 they have a difference of 10 what are the numbers?​
antoniya [11.8K]

22 is half

u go down by 1 and up by 1

It ends up at 17 and 27

17+27=44

The two numbers you are looking for are <u>17 and 27</u>

6 0
2 years ago
If the figure shown on the grid below is dilated by a scale factor of
shepuryov [24]

The coordinate of point N after the dilation is N' = (-8/3, 8/3)

<h3>Dilation of coordinates</h3>

Dilation is a transformation technique for changing the size of an object using a scale factor.

Given the coordinate of N from the figure as (-4, 4). If this coordinate point is dilated by a factor of 2/3, then the resulting coordinate will be:

N' = (2/3(-4), 2/3(4))

N' = (-8/3, 8/3)

Hence the coordinate of point N after the dilation is N' = (-8/3, 8/3)

Learn more on scale factor here: brainly.com/question/10253650

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7 0
2 years ago
Problem 1: Joseph is going to buy a cell phone plan on his own. The most important thing for him is being able to text. So, he h
andriy [413]

Step-by-step explanation: lol like a dozen

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3 years ago
Tom, Mary and Bill are aged 10,12 and 15 years respectively. They share 259 euros in the same ratio as their ages. Find how much
tigry1 [53]

Answer:

70 , 84 , 105

Step-by-step explanation:

sum their ages , 10 + 12 + 15 = 37

divide the amount by this sum to find the value of one part of the ratio.

259 ÷ 37 = 7 ← value of 1 part of the ratio , then

10 parts = 10 × 7 = 70 euros ← Tom's share

12 parts = 12 × 7 = 84 euros ← Mary's share

15 parts = 15 × 7 = 105 euros ← Bill's share

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2 years ago
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Answer:

2/3

Step-by-step explanation:

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