All categories

1 year ago

Find the MAD of the following 12, 32, 45, 56, 75, 12, and 97

Mathematics

1 answer:

bagirrra123 [75]1 year ago

4 0

Answer:

24.8571

Step-by-step explanation:

You might be interested in

Simplify 7 square root 2535

JulijaS [17]

7*sqrt(3*5*13^2) = 91*sqrt(15) = 91*3.872983346 = 352.4414845<span>
</span>

5 0

3 years ago

Read 2 more answers

Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

2 years ago

Pleasee help meee it’s due at 6:00

kykrilka [37]

Answer:

P’ = (4, 5)

Q’ = (5, 3)

R’ = (1, 1)

Step-by-step explanation:

8 0

2 years ago

Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is

Arisa [49]

Answer:

Step-by-step explanation:

A direct variation is of the form

y = kx

We know x and y so we can find k

81 = k *27

Divide each side by 27

81/27 = 27k/27

3=k

The constant of variation is 3

5 0

3 years ago

What is the answer to 9×(6+7-3)-2

ZanzabumX [31]

Answer:

Step-by-step explanation:

PEMDAS

9*(6+7-3)-2

1) 6+7=13

13-3=10

9*10-2

2)9*10= 90

3)90-2= 88

3 0

2 years ago

Read 2 more answers