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Phoenix [80]
3 years ago
6

Pls help me this is urgent

Mathematics
1 answer:
Fittoniya [83]3 years ago
4 0
I took this before let me find the answer on the test I took
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A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?​
pantera1 [17]

Answer:

The diameter is 22.92 inches

Step-by-step explanation:

Hello, I can help you with this question

in this case we know the circumference of a circle, and we need to find out the diameter.

let's remember

the radius of a circle can be defined as

radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\

also

circumference=2*\pi  *radius(equation2)\\

Step1

replace the value of the circumference of tyler's bike in equation 2  and isolate radius to find radius

72 inches=2*\pi  *radius\\\\radius=\frac{72}{2*\pi  } \radius =11.46\ inches

Step 2

now, replace the value of radius into equation 1 to find diameter

radius=11.46 in

diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92

so, the diameter is 22.92 inches

I really hope it helps, have a great day.

5 0
3 years ago
Read 2 more answers
Please help me thanks please
Ludmilka [50]

Answer: 3234 cubic units

Step-by-step explanation:

Volume of cylinder: πr²h

The diameter of the cylinder is 14 units so the radius is 7 units.

Now we'll substitute.

π = 22/7

h = 21

πr²h

π × 7² × 21

22/7 × 49 × 21 = 3,234

The volume is 3,234 cubic units.

6 0
3 years ago
Represent each division problem as a fraction AND a decimal.
romanna [79]

Answer:

1. fraction=51/94

decimal= 51/94 a decimal is approximate: 0.54255 (Rounded to fifth decimal place)

2. fraction= 2/8

decimal= 2/8 as a decimal is 0.25.

3. fraction= 75/5

decimal= 75/5 as a decimal is 15.

7 0
3 years ago
Read 2 more answers
Bonjour quelqu'un peut m'aider? Transformer les sommes ou les differences suivantes en un produit : A= 100* n - 2* n ; B= 14*30
BartSMP [9]

Answer:

J’espère que cela vous aidera;

A= 98n; B = 630; C = 22t; D = 510;E = 25m ; F = 335

Step-by-step explanation:

3 0
3 years ago
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