Please god tell me how I do this I don't understand

Use the function below to find F(-4).<br><br> F(x) = 2^x

Amiraneli [1.4K]

To answer this item, note that what needs to be done is to substitute -4 to all x's in the equation. That is,
F(x) = 2^x
will become,
F(-4) = 2^(-4) = 1/16 or 0.0625

4 0

2 years ago

Read 2 more answers

Please help me with this math PLEASE

Doss [256]

Answer:

Step-by-step explanation:

0

r

= 1

6 0

2 years ago

The Information Technology Department at a large university wishes to estimate the proportion of students living in the dormitor

nadya68 [22]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

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 $ME =\pm 0.05$ 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)

We can use as an estimator for p $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.05}{1.96})^2}=384.16$

And rounded up we have that n=385

3 0

2 years ago

If the coefficient of determination is 0.9, the percentage of variation in the dependent variable explained by the variation in

vagabundo [1.1K]

Answer:

90% of the variation in the dependent variable is explained by the independent variable.

Step-by-step explanation:

We are given the following in the question:

coefficient of determination = 0.9

We have to find the percentage of variation in the dependent variable explained by the variation in the independent variable.

Coefficient of Determination:

The coefficient of determination is a measure that explains and predicts the dependent variable.
It explains the variation in the dependent variable caused by the independent variable.
The coefficient of determination, also known as the R squared value and is obtained by squaring the coefficient of correlation.

$\text{Coefficient of Determination} = R^2 = 0.9 = 0.9\times 100\% = 90\%$

Thus, 90% of the variation in the dependent variable is explained by the independent variable.

8 0

2 years ago

Me.stewart teaches three science classes her students are freshman and sophomores her student data are shown in relative frequen

almond37 [142]

Answer:

the answer is that D is false

Step-by-step explanation:

the relative frequency chart shows that 0.35 of her total freshman and sophomores take biology (Bottom left corner of the chart).

4 0

2 years ago

Read 2 more answers

Please god tell me how I do this I don't understand​

Please god tell me how I do this I don't understand