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2 years ago

I Want to Test Somebody, Can you answer this?

Mathematics

1 answer:

Ratling [72]2 years ago

7 0

Answer 1/3

Explanation:

Write all numbers above common denominator

Then subtract the numbers

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I need help<br> please and thank you

REY [17]

I believe it’s
D.51is it B ??

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3 years ago

f the original price of a table is p and the sale price of the table is p−0.2p, which other expression represents the sale price

Sphinxa [80]

Answer:

0.2p is the correct

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3 years ago

If sin x = -1/2, and 270° < x < 360°, what is cos(x - 30°)?

Butoxors [25]

Answer:

x = -30

cos(x - 30) = ½

Step-by-step explanation:

Look at the picture

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3 years ago

A queen ant lays 1.83 x 10^6 eggs over a period of 30 days. Assuming she lays the same number of eggs each day, about how many e

Leya [2.2K]

The answer is 61,000

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3 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago