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3 years ago

Find f\left(x+3\right)f(x+3) given the function: f\left(x\right)=-5x+3f(x)=−5x+3

Mathematics

1 answer:

Serjik [45]3 years ago

7 0

Answer:

-5x-12

Step-by-step explanation:

Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;

f(x) = -5x+3

f(x+3) = -5(x+3)+3

f(x+3) = -5x-15+3

f(x+3) = -5x-12

Hence the function f(x+3) is -5x-12

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A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated

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Answer: 86.6ft closer to the ground.

Step-by-step explanation:

The diameter of the wheel is 200ft

Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.

Initially, the seat is at the same level that the center of the wheel.

And the distance between the center of the wheel and the bottom is the radius.

Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=

Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)

And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:

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So the seat is 86.6ft closer to the ground.

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3 years ago

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Answer:

a. For n=25, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,580, respectively.

b. For n=50, the mean and standard deviation of the prices of the mobile homes all possible sample mean prices are $63,800 and $1,117, respectively.

Step-by-step explanation:

In this case, for each sample size, we have a sampling distribution (a distribution for the population of sample means), with the following parameters:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{n}$

For n=25 we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{25}=7,900/5=1,580$

The spread of the sampling distribution is always smaller than the population spread of the individuals. The spread is smaller as the sample size increase.

This has the implication that is expected to have more precision in the estimation of the population mean when we use bigger samples than smaller ones.

If n=50, we have:

$\mu_s=\mu=63,800\\\\\sigma_s=\sigma/\sqrt{n}=7,900/\sqrt{50}=7,900/7.07=1,117$

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Answer:

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