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inessss [21]
3 years ago
10

Hey someone who knows this want to give me the answer thanks

Mathematics
2 answers:
lisov135 [29]3 years ago
6 0
C is the correct answer
Gnesinka [82]3 years ago
4 0
C is the answer. Hope this helps!
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Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic t.
lawyer [7]

Using the t-distribution, it is found that the p-value of the test is 0.007.

At the null hypothesis, it is <u>tested if the mean lifetime is not greater than 220,000 miles</u>, that is:

H_0: \mu \leq 220000

At the alternative hypothesis, it is <u>tested if the mean lifetime is greater than 220,000 miles</u>, that is:

H_1: \mu > 220000.

We have the <u>standard deviation for the sample</u>, thus, the t-distribution is used. The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

For this problem:

\overline{x} = 226450, \mu = 220000, s = 11500, n = 23

Then, the value of the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{226450 - 220000}{\frac{11500}{\sqrt{23}}}

t = 2.69

We have a right-tailed test(test if the mean is greater than a value), with <u>t = 2.69</u> and 23 - 1 = <u>22 df.</u>

Using a t-distribution calculator, the p-value of the test is of 0.007.

A similar problem is given at brainly.com/question/13873630

8 0
2 years ago
Find the value of x in the triangle shown below
Rudiy27

Answer:

Step-by-step explanation:

x=\sqrt{12^{2} +16^{2} }

x=20

6 0
3 years ago
What type of decimal is 0.67918
Dmitry [639]
It is a terminating decimal
5 0
3 years ago
Read 2 more answers
Find the surface area of the rectangular prism. 5ft tall 5 feet long 2 feet wide
Mars2501 [29]

Answer:

46.25 feet squared

Step-by-step explanation:

base area = 5x2 = 10

you need to find how tall the faces of the prism are now. You can do this using the pythagorean theorem: a^2+b^2=c^2

5^2+2.5^2=c^2 and 5^2+1^2=c^2

(since it is a rectangular pyramid)

c= 5.60 and c= 5.01

now be can find the surface area of the 4 triangles

SA= 5.60x2 and SA= 5.01x5

SA=11.2 and SA= 25.05

add all the components (11.2, 25.05, 10) together to get the final surface area: 46.25

6 0
3 years ago
A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at
vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

\frac{dx}{dt}=11.94m/min

Step-by-step explanation:

From the question we are told that

Slant height z=29m

Change in Vertical height  \triangle y=7m/s

Horizontal length x=21

Generally in finding the distance form the  top to the bottom of the wall it is mathematically given by

 x^2+y^2=z^2

 21^2+y^2=29^2

 y^2=29^2+21^2

 y=35.81

Generally solving for the differential equation is mathematically represented as

 x^2+y^2=29^2

 2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0

 x*\frac{dx}{dt} +y*\frac{dy}{dt} =0

 (21)*\frac{dx}{dt} +(35.81)*(-7) =0

 (21)*\frac{dx}{dt} -250.64 =0

 \frac{dx}{dt}=\frac{250.64}{21}

 \frac{dx}{dt}=11.94m/min

5 0
3 years ago
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