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3 years ago

What is the theory of relativity

1 answer:

8 0

The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity. Special relativity applies to all physical phenomena in the absence of gravity. General relativity explains the law of gravitation and its relation to other forces of nature.

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The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r

jolli1 [7]

Answer:

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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".

$\bar X=28$ represent the sample mean

$\mu$ population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.064$

Now we have everything in order to replace into formula (1):

$28-2.064\frac{10}{\sqrt{25}}=23.872$

$28+2.064\frac{10}{\sqrt{25}}=32.128$

So on this case the 95% confidence interval would be given by (23.9;32.1)

7 0

3 years ago

Find the next number in the pattern: 3 5 11 6 7 5 14 8 12 ? Explain why

stepan [7]

Answer:

5–3 = 2

8–5 = 3

12–8 = 4

17–12 = 5

x-17 should be 6, hence x = 6+17 = 23.

Step-by-step explanation:

7 0

3 years ago

A pyramid has a square base with sides of length s the height of The pyramid is equal to 1/2 Of the length of a side on the base

DENIUS [597]

Answer:

The correct answer is s³/6

Step-by-step explanation:

<u>Points to remember</u>

Volume of pyramid = (a²h)/3

Where a - side of base

h - height of pyramid

It is given that, a pyramid has a square base with sides of length s the height of The pyramid is equal to 1/2 Of the length of a side on the base

<u>To find the formula:-</u>

Here side length a = s and

height h = 1/2(s) = s/2

Volume = (a²h)/3

= (s² * s/2)/3

= s³/6

The correct answer is s³/6

3 0

3 years ago

Read 2 more answers

Help fastttt please!!!!! When making a pie chart for this data, what percentage of the dresses would the sector label "Blue" inc

lbvjy [14]

Answer:

14%

Step-by-step explanation:

First find the total for all the dresses.

Total = 14 + 37 + 22 + 56 + 33

Total = 162

Now you are concerned about the blue dresses.

% = (22 / 162) * 100 = 13.58 %

Rounded to the nearest % it would be 14%

The number of degrees it would occupy in the pie chart would be 360 * 14/100 = 49 degrees.

4 0

3 years ago

For evey 7 white t shirts they manufacture they should manufacture 4 yellow t shirts.they ratio of the number of white t shirts

nekit [7.7K]

7:4
or
7/4
[i need more characters before i submit]

8 0

3 years ago