Find the measure of each angle. NEED HELP ASAP

The following graph shows the functions f(x) and g(x): graph of function f of x equals x squared and graph of function g of x eq

kompoz [17]

F(x) = x^2
g(x) = x^2+5
g(x) = f(x)+5

We see that g(x) is basically f(x) but we add on 5. So 5 will go in the blank.

8 0

3 years ago

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Last week, a coral reef grew 19.5 mm taller. How much did it grow in meters?

lianna [129]

0.0195

ANswer

Answer

8 0

4 years ago

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(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at col

Ne4ueva [31]

Answer:

a) $n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

b) For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean

$\sigma=16$ represent the population standard deviation

n represent the sample size

Solution to the problem

Part a

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40$

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

5 0

3 years ago

florin(x) contains the point (0,1), so the inverse of florin(x) must contain the point , which is not on the line g(x). The func

Alex787 [66]

Answer:

The function g(x) will not contain point (0,1).

Step-by-step explanation:

If a function contains a point then its inverse also contains the point.

Now, in this question florin(x) is a function that contains the point (0, 1).

And the inverse of the function florin(x) will also contain the point (0, 1).

But this inverse function is not g(x).

So, the function g(x) will not contain point (0,1). ( Answer )

5 0

3 years ago

Can you graph this equation - Y=3×^2

Vladimir [108]

So you start at 0 then (1,3) , (2,12) and the other side would be (-1,3) , (-2,12)

8 0

3 years ago

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