What is the experimental probability of rolling a 2 or a 4?

Which graph models the function f(x) = -4(2)x?

scoray [572]

It is C.

If you type in your calculator "Y=" and then " -4(2)^x " and click "GRAPH" you will see a descending graph, from left to right, that looks EXACTLY like the third graph in option C.

5 0

3 years ago

Read 2 more answers

The diameter of a sphere is measured to be 4.17 in.

gtnhenbr [62]

Step-by-step explanation:

To find the radius of the sphere we must convert the inches to centimeters

Using the conversation

1 inch = 2.54 cm

If 1 inch = 2.54 cm

4.17 inch = 2.54 × 4.17 = 10.59 cm

We can find the radius using the formula

$radius = \frac{diameter}{2}$

From the question

diameter = 10.59 cm

So we have

$radius = \frac{10.59}{2}$

<h3>radius = 5.30 cm</h3>

Surface area of a sphere= 4πr²

where

r is the radius

Surface area = 4(5.30)²π

= 112.36π

= 352.989

We have the answer as

<h3>Surface area = 353 cm²</h3>

Volume of a sphere is given by

$\frac{4}{3} \pi {r}^{3}$

r = 5.30

The volume of the sphere is

$\frac{4}{3} ( {5.30})^{3} \pi$

= 623.61451

We have the answer as

<h2>Volume = 623.6 cm³</h2>

Hope this helps you

3 0

3 years ago

FILL IN THE BLANKS: PLEASE HELP ASAP

Inessa05 [86]

I'm not quite sure but I'd say 1 and 4.

3 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state

Rus_ich [418]

Answer:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

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

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

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: