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3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

aleksley [76]3 years ago

8 0

The answer is D !!

have a great rest of your day

valentina_108 [34]3 years ago

4 0

Answer:

Option D.

Step-by-step explanation:

Have a fantastic Day !

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A hose dispenses 1,413 cm³ of water every minute into a cone with a radius of 60 cm and a height of 150 cm. How long will it tak

sergejj [24]

Hm. Have you ever dispensed water from a hose unto a cone? I know I haven’t, but math can give us a good idea of what it would be like — or at least, how long it would take.

We are told that the hose spills 1413 cm^3 of water every minute. We are also told the cone has a height of 150 cm and a radius of 60 cm. So far, so good.

First things first, we need to find out how much water can fit in the cone. That means volume. The volume of a cone is

π • r^2 • (h/3)

Let’s go ahead and plug in (remember we use 3.14 for π)

(3.14) • (60)^2 • (150/3)

The volume of the cone is 565,200 cm^3

Wait, I’m lost. What were we supposed to do again? Oh, right. We needed to find how long it would take for the hose to fill in the cone. Well, if we know the hose dispenses 1413 cm^3 per minute, and there is a total of 565,200 cm^3 the cone can take, we can divide the volume of the cone by the amount the hose dispenses per minute to get the number of minutes it’d take to fill it.

565200/1413

400 minutes. Wow, ok. I wouldn’t want to wait that long. That’s like watching 3 movies!

7 0

3 years ago

Lily bought 22.17 pounds of grapefruit. The lightest grapefruit weighed 1.3 pounds. The heaviest grapefruit weighed 1.7 pounds.

nalin [4]

Answer:

Approximately 15 grapefruits

Step-by-step explanation:

Average Value

The mean or average of a sample is a number that represents the whole set by the center value of them. The formula to compute the average is

$\displaystyle \bar x=\frac{\sum x_i}{n}$

Where xi is the value of the element i and n is the number of elements in the set

We need to find an estimate of how many grapefruits Lily purchased knowing the heaviest and the lightest weight of the set. We can find the average value by using the two extreme values:

$\displaystyle \bar x=\frac{1.3+1.7}{2}=1.5$

If each grapefruit weighed 1.5 pounds, then we can estimate the 22.17 pounds of them will contain

$22.17/1.5\approx 15\ \text{grapefruits}$

3 0

3 years ago

Find the sum and product of the roots.

xz_007 [3.2K]

Answer:

sum= -3 product=-4

Step-by-step explanation:

2x^2-2x+8x-8

2x(x-1)+8(x-1)

(2x+8)(x-1)

x=-4 x=1

8 0

4 years ago

Read 2 more answers

if Pentagon ABCDE is rotated 180 clockwise to 8 pentagon a b c d and e the coordinates for a will be what

11111nata11111 [884]

Point A with coordinates (x,y) rotated 180 degrees around O gives point A' with coordinates (-x,-y).
Hope this helps :D

3 0

4 years ago

The data represent the age of world leaders on their day of inauguration. Find the five-number summary, and construct a boxplot

Mumz [18]

Answer:

Minimum value = 43, $Q_1=52$ , $Q_2=Median=61$ , $Q_3=67$ , Maximum value = 69.

Distribution is negative skewed.

Step-by-step explanation:

The given data set is

44, 43, 67, 68, 57, 65, 52, 62, 69, 54, 53, 61, 67, 48, 65

Arrange the data in ascending order

43, 44, 48, 52, 53, 54, 57, 61, 62, 65, 65, 67, 67, 68, 69

Divide the data in 4 equal parts.

(43, 44, 48), 52, (53, 54, 57), 61, (62, 65, 65), 67, (67, 68, 69)

Minimum value = 43

$Q_1=52$

$Q_2=Median=61$

$Q_3=67$

Maximum value = 69

Starting and end point of box plot represent the minimum and maximum value respectively. Box starts from the first quartile to the third quartile. A vertical line goes through the box at the median.

The shape of the distribution.

Normally distributed: If $Q_3-Q_2=Q_2-Q_1$