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Citrus2011 [14]

3 years ago

7

The following data will be used to construct a box plot. What will be the value of the median? 2, 5, 10, 11, 12, 15, 21, 32, 32,

46

1 answer:

chubhunter [2.5K]3 years ago

5 0

The median will be 13.5
Explanation the middle numbers are 12,15
You add the two then divide and get the answer of 13.5

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The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t , where t is time in seconds and the dimensio

denis23 [38]

Answer:

The rate change of volume of the cylinder is $\frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t})$ cubic inch per second.

Step-by-step explanation:

Given that the radius of right circular cylinder is $\sqrt{(t+6)}$ and its height is $\frac16 \sqrt t$ where t is time in second and the dimension are inches.

$\therefore r = \sqrt{(t+6)}$

The base area of the cylinder is A= $\pi r^2$

$=\pi (\sqrt{t+6})^2$

$= \pi (t+6)$

$\therefore A= \pi(t+6)$

Differentiating with respect to t

$\frac{dA}{dt}=\pi$

$\therefore h=\frac16\sqrt t$

Differentiating with respect to t

$\frac{dh}{dt}=\frac16 \times \frac12(t)^{\frac12-1}$

$\Rightarrow \frac{dh}{dt}=\frac1{12} (t)^{-\frac12}$

The volume of cylinder is V= Ah

∴V= Ah

Differentiating with respect to t

$\frac{dV}{dt}=A\frac{dh}{dt}+h\frac{dA}{dt}$

$=\pi (t+6). \frac1{12}t^{-\frac12} +\frac16\sqrt t . \pi$

$=\pi. \frac1{12}.t^{\frac12}+\pi . 6.\frac1{12} t^{-\frac12} +\pi\frac16 \sqrt t$

$=\frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t})$

The rate change of volume of the cylinder is $\frac{\pi}{4} ( \sqrt t+\frac2{ \sqrt t})$ cubic inch per second.

5 0

3 years ago

There is a 2/3 of a pizza left over. Jessica ate 3/4 of the leftover pizza. How much of a whole pizza did Jessica eat. Write a s

Juliette [100K]

First

bring the fractions to a like denominator
8/12 equals 2/3 and 9/12 is equal to 3/4

2nd

cut the 8/12 into fourths

so 2/12 each piece

jessica ate 3 of the fourths so she ate
6/12 of the leftovers so it's half of the leftovers

now lets just cut up the pizza into 36. and 2 thirds is equal to 24/36

jessica ate 6/12 so she ate 12/24 of that

jessica ate 1/3 of the pizza

4 0

4 years ago

A business owner buys lunch for employees once every month. The owner has bought lunch for 18

Lady bird [3.3K]

Answer:

A) y = 8.63 x

B) $224.38

Step-by-step explanation:

The the average monthly cost = (147.98+152.17+165.63)/3 = $155.26

So, For 18 employees the average monthly cost = $155.26

Let the equation that can be used to estimate y, the average monthly cost, in dollars, to buy lunch for x employees. ⇒ y = mx

For x = 18 , y = $155.26

So, m = y/x = $155.26/18 ≈ $8.63

∴ y = 8.63 x

To find the total cost for 26 employees.

∴ x = 26

∴ y = 8.63 * 26 = 224.38

The total cost of a monthly lunch for 26 employees = $224.38

6 0

3 years ago

Maria drove from Los Angeles (elevation 330 feet) to Death Valley (elevation –282 feet). What is the difference in elevation bet

motikmotik

Answer:

612 feet

Step-by-step explanation:

LA is located at 330 feet ABOVE SEA LEVEL

Death Valley is located 282 feet BELOW SEA LEVEL

We let the sea level be at 0 (consider a number line).

So,

LA would be at +330 feet

and

Death Valley would be at -282 feet

The elevation change between the two would be the difference:

330 - (-282) = 330 + 282 = 612 feet

The difference in elevation = 612 feet

3 0

3 years ago

You have a map of an area in France. The scale used is 2cm:8km. You want to ride to a national park. The park is shown on the ma

slega [8]

Divide the distance on the map by 2 to get the number of 8km segments there are, then multiply that by 8km for total distance.

16 cm / 2cm = 8

8 x 8km = 64km total.

8 0

4 years ago