The volume of a cylinder is 4.txcubic units and its height is x units.

Fogoh!! Plz HELPi suck at math haha

quester [9]

Answer:

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

Step-by-step explanation:

f(x) = x^4 + 4

g(x) = x - 1

h(x) = sqrt(x)

g(h(x)) = sqrt(x) - 1

f(g(h(x))) = (sqrt(x) - 1)^4 + 4

6 0

3 years ago

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

There are several sets of different numbers which can be chosen from {0,1,2,3,4,5,6,7,8,9}. How many of these sets contain any 2

Leokris [45]

Answer:

90

Step-by-step explanation:

it is 90 because in the first slot there can be any 10 numbers and in the second slot the set can contain any of the remaining 9 numbers and then we can multiply these two numbers together to find the total amount of sets.

hope this helps :)

4 0

3 years ago

Read 2 more answers

When going to the local swimming pool, you will pay $9 per person and $3 for parking. If y represent the total cost and x repres

LiRa [457]

A.
It cost 9 dollars per person so 9x
and you need to add the additional 3 dollars for parking

so y = 9x + 3
total entry parking

6 0

3 years ago

What should you do to get both numeric terms on the right side of the equation?

Mariulka [41]

Answer: