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Sindrei [870]
2 years ago
9

I need help with number 14:))

Mathematics
1 answer:
qaws [65]2 years ago
7 0
 The answer is y=1x because the line crosses the 0 y intercept and its going up by one and runs to the left one so the answer is y=1x.
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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2643 miles, with a standard
musickatia [10]

Answer:

P(2643-51< \bar X < 2643+51)= P(2592< \bar X

And we can use the z scoe formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for the limits we got:

z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919

z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919

And this probability is equivalent to:

P(-0.919

Step-by-step explanation:

For this case we can define the random variable X as "number of miles between services" and we know the following info given:

\mu = 2643 , \sigma = 368

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

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

We select a random sample size of n =44. And we want to find this probability:

P(2643-51< \bar X < 2643+51)= P(2592< \bar X

And we can use the z scoe formula given by:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we find the z score for the limits we got:

z = \frac{2592-2643}{\frac{368}{\sqrt{44}}}= -0.919

z = \frac{2694-2643}{\frac{368}{\sqrt{44}}}= 0.919

And this probability is equivalent to:

P(-0.919

4 0
2 years ago
If the length of a rectangular field is twice the width and the perimeter is 24. Write an equation that an be used to solve for
Sedbober [7]
If we use the width as x we have 2x with both widths and 4x with both lengths. So 6x=24 and x=4. So length is 8 and width is 4.
7 0
3 years ago
A tabletop is in the shape of a trapezoid. The lengths of the trapezoid's parallel sides are 48 inches and 40 inches. The height
goldenfox [79]
The equation is
area =  \frac{1}{2} (a + b)h
If you put in the numbers you get
area =  \frac{1}{2} (48 + 40) \times 24
This comes to 1056. So the answer is 1056 in^2

4 0
3 years ago
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A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?
Katen [24]
4ft divided by 2/3ft

4/1 divided by 2/3 

4/1 times 3/2 is 12/2 or 6 pieces, 0 remaining.
3 0
3 years ago
A sheet of origami paper is in the shape of a square with a side length of 7 inches, as shown. What is the area of the sheet of
vlabodo [156]
??... what lol good job tho
8 0
2 years ago
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