Find the volume of this figure. round your answer to the nearest hundredth. if necessary

Select a counter-example that makes the conclusion false. 3is prime, 5 is prime, 7 is prime

Butoxors [25]

5^3+7

Hope i helped.

3 0

3 years ago

Read 2 more answers

A school requires 2 computers for every 5 students. If a school has 145 students, how many computers do they need?

defon

Step-by-step explanation:

145/5=23

23×2=46 computers

4 0

3 years ago

Angel works in a dentist’s office making $13.50 an hour. She works 40 hours per week. How much does she make in a year?

-Dominant- [34]

This is a 2 part question, so we will go step by step

Since Angel makes 13.50 an hour, and she works 40 hours a week, we have to make an equation and solve it.

First, let's make the equation, and we should multiply. Why?

Because finding out how much she made in a week would make it easier to find out how much she makes in a year. To find out how much she makes in a week, we need to add 13.50 40 times, and multiplication is an easier way of doing that.

Now to set it up, 40 is the number we are multiplying by (Because 40 is how many hours she works, and 13.50 is how much she makes in that hour)

and 13.50 is the number getting multiplied

Now we insert numbers into typical multiplication format

13.50 x 40 = ?

Now we solve

13.50 x 40 = 540

So she makes 540 dollars in a week, now we need to multiply that by the number of weeks they are in a year and we are done.

With a little help from Google, we can learn that there are in 52.1 weeks<span> in a common year.

Now we do the same thing we did the last time and insert our numbers into the equation.

(52.1 is what we are multiplying by, and 540 is the number that is getting multiplied.)

540 x 52.1 = ?

Solve

</span>540 x 52.1 = 28,134

She makes <span>28,134 in a year
</span>
Hope this helped!

3 0

3 years ago

You buy butter for $3.31 a pound.

Sav [38]

Answer:

$0.23

Step-by-step explanation:

Theres 16 ounces in a pound. 16-1.7=14.3

divide $3.31 by 14.3

0.23

8 0

3 years ago

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The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There

Oksi-84 [34.3K]

Answer:

$z=1.64$

And if we solve for a we got;

$10 +1.64*1=11.64$

So the value of height that separates the bottom 95% of data from the top 5% is 11.64

Step-by-step explanation:

Previous concepts

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

$X \sim N(10,1)$

Where $\mu=10$ and $\sigma=1$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.05$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

$P(X$

$P(z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=1.64$

And if we solve for a we got;

$10 +1.64*1=11.64$

So the value of height that separates the bottom 95% of data from the top 5% is 11.64

4 0

3 years ago