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3 years ago

Suppose that F(x) = x3 and G(x) = -4x3-5. Which statement best compares the graph of G(x) with the graph of F(x)?

Mathematics

1 answer:

lara31 [8.8K]3 years ago

5 0

Answer:

Answer is B

Step-by-step explanation:

F(x) is first stretched by factor 4 from '4x³';

It is then reflected in the x-axis, since it is '-4x³';

Lastly, it is shifted down 5 units, because of the '-5'.

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on a gameboard spinner, martin won a prize on 4 spine and failed to win a prize on 6 other spins. Based on experimental probabil

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2 years ago

An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon

salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu$

And the standard deviation of the distribution of sample mean is given by,

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

The information provided is:

$n=40\\\mu=\$3.82\\\sigma=\$0.33$

As n = 40 > 30, the distribution of sample mean is $\bar X\sim N(3.82,\ 0.052^{2})$ .

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

$\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}$

$=\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052$

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

$P(3.78$

$=P(-0.77$

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

$\bar X-\mu_{\bar x}$

Compute the value of $P(\bar X$ as follows:

$P(\bar X$

$=P(Z$

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

$P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})$

$=P(Z$

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

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3 years ago

The diameter of Jupiter is 142.984 Km. The surface area of Saturn is 59.9% the surface area of Jupiter. What is Saturn's diamete

Otrada [13]

Suppose that both planets are spherical. radius of Saturn =142984/2=71,492

Area of Jupiter = 4πr² ==>4π(71,492)² =6.4228 x 10^10

Area of Saturn ==>(6.4228 x 10^10)x(0.599) ==>3,84726 x 10^10

Radius of Saturn = 4πr² =3,84726 x 10^10==> r²=3,0219 x 10^10
and r √(,0219 x 10^10) = 174.000 km & D = 384,000 km

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2 years ago

Find the length of molding needed for a 10'5" x 9'8" floor.

nikklg [1K]

Are you sure you don't mean area?

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2 years ago

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Which formula gives the x-coordinates of the maximum values for y = cos(x)?

solong [7]

We have been given a function $y=\cos(x)$ . We are asked to find the formula which gives the x-coordinates of the maximum values for given function.