Calculate the standard deviation of the data set below ( 7, 9, 10, 11, 13)

Yuliya22 [10]

X2 minus x1/y2 minus y1 is how u find slope

6 0

3 years ago

A collar of Styrofoam is made to insulate a pipe. Find it's volume. That large R is to the outer rim. The smaller r us to the ed

anastassius [24]

Answer:

the volume of the pipe is 649.98 cubic inches.

Step-by-step explanation:

We have been given that a collar of Styrofoam is made to insulate a pipe. We are asked to find the volume of the given pipe.

We will use volume of hollow cylinder formula to solve our given problem.

$\text{Volume of hollow cylinder}=\pi R^2h-\pi r^2h$

where,

R = Radius of external cylinder,

r = Radius of internal cylinder.

h = Height of cylinder.

substituting our given values in above formula, we will get:

$\text{Volume of hollow cylinder}=\pi (5\text{ in})^2(\text{23 in})-\pi (4\text{ in})^2(\text{23 in})\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 ((5\text{ in})^2-(4\text{ in})^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (25\text{ in}^2-16\text{ in}^2)\text{Volume of hollow cylinder}=\text{23 in}\cdot 3.14 (9\text{ in}^2)\text{Volume of hollow cylinder}=649.98\text{ in}^3$

Therefore, the volume of the pipe is 649.98 cubic inches.

8 0

3 years ago

Does anyone know the answer to this?

FrozenT [24]

Answer:

B

Step-by-step explanation:

X is the domain.

The function comes from -∞ and goes to ∞

So B is the answer.

7 0

3 years ago

Find the final amount. $4000 invested at 11% APR compounded quarterly for 5 years The final amount is $ nothing. (Do not rou

Angelina_Jolie [31]

<h3>The final amount is $ 6881.71</h3>

Solution:

The formula for compound interest, including principal sum, is:

$A = p(1 + \frac{r}{n})^{nt}$

Where,

A = the future value of the investment

P = the principal investment amount\

r = the annual interest rate in decimal

n = the number of times that interest is compounded per unit t

t = the time the money is invested

From given,

p = 4000

t = 5

$r = 11 \% = \frac{11}{100} = 0.11$

n = 4 ( compounded quarterly )

Substituting the values in formula,

$A = 4000(1 + \frac{0.11}{4})^{4 \times 5}\\\\ A = 4000( 1.0275)^{20}\\\\A = 4000 \times 1.720428\\\\A = 6881.7137 \approx 6881.71$

Thus the final amount is $ 6881.71

5 0

3 years ago

Please help.... don’t understand

BlackZzzverrR [31]

$5.\\a_0=24\\a_1=a_0+7\to a_1=24+7=31\\a_2=a_1+7\to a_2=31+7=38\\a_3=a_2+7\to a_3=38+7=45\\a_4=a_3+7\to a_4=45+7=52\\\vdots\\a_n=a_{n-1}+7\\\\Answer:\ \left\{\begin{array}{ccc}a_0=24\\a_{n}=a_{n-1}+7\end{array}\right$

$6..\\a_0=-5\\a_1=a_0\cdot(-6)\to a_1=-5(-6)+30\\a_2=a_1\cdot(-6)\to a_2=30(-6)=-180\\a_3=a_2\cdot(-6)\to a_3=-180(-6)=1080\\a_4=a_3\cdot(-6)\to a_4=1040(-6)=-6480\\\vdots\\a_n=(-6)a_{n-1}\\\\Answer:\ \left\{\begin{array}{ccc}a_0=-5\\a_n=-6a_{n-1}\end{array}\right$

3 0

4 years ago