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777dan777 [17]
3 years ago
8

Computer Action Company sells computers and computer parts by mail. The company assures its customers that products are mailed a

s soon as possible after an order is placed with the company. The distribution of the times taken to mail products is known to follow a normal distribution. A sample of 28 recent orders showed that mean time taken to mail products for these orders was 70 hours and the standard deviation was 14 hours. If you were asked to find a 95% confidence interval for the mean time taken to mail products for all orders received at the office of this company, would you use z or t
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

The t distribution is used, because we have the standard deviation for the sample.

Step-by-step explanation:

When to use the z or the t distribution?

When we have the standard deviation for the population, we use the z distribution.

When we have the standard deviation for the sample, we use the t distribution.

In this question:

We have the standard deviation for the sample, which means that the t distribution is used.

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Prove Euler's identity using Euler's formula.<br> e^ix = cos x + i sin x
Korolek [52]

First list all the terms out.

e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...

Then, we can expand them.

e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...

Then, we can use the rules of raising i to a power.

e^ix = 1 + ix - x^2/2! - ix^3/3!...

Then, we can sort all the real and imaginary terms.

e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)

We can simplify this.

e^ix = cos x + i sin x

This is Euler's Formula.

What happens if we put in pi?

x = pi

e^i*pi = cos(pi) + i sin(pi)

cos(pi) = -1

i sin(pi) = 0

e^i*pi = -1 OR e^i*pi + 1 = 0

That is Euler's identity.

3 0
3 years ago
A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located
asambeis [7]
The total distance that the family has driven is the sum of the distances from Phoenix to San Francisco,
                            d = sqrt ((5 - -16)² + (-36 - -12)²) = 10.63 
from San Francisco to Blythe,
                             d = sqrt ((-9 - 5)² + (-20 - -36)²) = 21.26
from Blythe to Los Angeles,
                             d = sqrt ((-4 - -9)² + (-33 - - 20)²) = 5.83
Adding the distances, we get 37.72.

5 0
3 years ago
-4y+8-3x+4y+9+5x= Need help
lord [1]

Answer:

2x+17

Step-by-step explanation:

-4y+8-3x+4y+9+5x

Combine like terms

-3x +5x    -4y +4y    +8+9

2x             +0             +17

7 0
3 years ago
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Find the volume of a cylinder that has a radius of 6 feet and a height of 10 feet. Use 3.14 for pi.
Lera25 [3.4K]
It is the last one, 1,130.4 ft^3. The volume of a cylinder equals pi (in this case 3.14) multiplied by the radius squared multiplied by the height. (3.14x6^2x10)
4 0
3 years ago
this is just so dum why do they make the app if nobody is going to help me and other some people have to post the same question
Flauer [41]

Answer:

thanks for the points <3

6 0
2 years ago
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