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3 years ago

If f(x) = 5x, what is f^-1(x)? F(x) = -5x of(x)- F(x) = 5* O F(x) = 5x

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

Answer:

f^-1 (x) = x/5

Step-by-step explanation:

f(x) = 5x

Replace f(x) with y

y= 5x

Exchange x and y

x = 5y

Solve for y

Divide each side by 5

x/5 = 5y/5

x/5 = y

The inverse is x/5

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All of the quadrilaterals in the shape below are squares. Find the area of the shaded

ArbitrLikvidat [17]

The area if the shaded region is 32. The blue squares area is 36 but the part that’s cut off has an area of 4. 36-4 equals 32. So that’s the answer!

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2 years ago

Nitrates are groundwater contaminants derived from fertilizer, septic tank seepage and other sewage. Nitrate poisoning is partic

o-na [289]

Answer:

a) $n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

b) $n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

Part a

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior information about the population proportion we can use ase estimator $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.96})^2}=2401$

And rounded up we have that n=2401

Part b

For thi case the estimator for p is $\hat p =0.07$

$n=\frac{0.07(1-0.07)}{(\frac{0.02}{1.96})^2}=625.22$

And rounded up we have that n=626

And we see that if we have previous info about p the sample size varies a lot.

4 0

3 years ago

PLEASE ANSWER + BRAINLIEST!!!!

zavuch27 [327]

Answer:100 + 3.2t = b

Step-by-step explanation: first off i would organize the data then find the varible(s) after you have all of the data organized with the verible(s) then find what number the varibles belong to. after that is done you would make

the equation which should look like 100 + 3.2t = b

8 0

3 years ago

Keith buys an item for $629. He gives the cashier a $50 bill. How much money should Keith get back?

STatiana [176]

Answer:

None

Step-by-step explanation:

This doesn't really make sense, If the item is 629$ and Keith only gives 50$ Keith is the one who should pay.

7 0

3 years ago

Read 2 more answers

Find the sales tax. Sales Tax nbsp Selling Price nbsp nbsp Rate of Sales Tax nbsp nbsp Sales Tax nbsp $70.00 6% ? The sales t

Lena [83]

Answer:

Sales tax is $4.20

Step-by-step explanation:

70*6/100=4.2

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3 years ago