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2 years ago

Amanda's penny bank is 23 full. After she removes 120 pennies, it is 12 full. How many pennies can Amanda's bank hold?

1 answer:

7 0

So if the bank was 2/3 full, and then after the pennies are removed it is 1/2 full, then the volume taken up by those removed pennies is the difference:
(2/3)-(1/2)=(4/6)-(3/6)=1/6

If there are 120 pennies in 1/6 of the bank's volume, then the total can be found by multiplying 120 by 6 (so that (1/6)*6=1 (the total volume))

120*6=720
You can fit 720 pennies in that bank

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Mason and Laney run laps. The ratio of the number of laps Mason ran to the number Laney ran was 2:3.

3241004551 [841]

Using proportions, it is found that Mason ran 620 meters.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Considering the ratio, the <em>rule of three</em> is given as follows:

2 laps for Mason - 3 laps for Laney.

n meters for Mason - 930 meters for Mason.

Applying cross multiplication:

3n = 930 x 2

n = 930 x 2/3

n = 620

Mason ran 620 meters.

More can be learned about proportions at brainly.com/question/24372153

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1 year ago

Find the height of a square pyramid with volume 37.3 ft3 and dimensions of base 4 ft by 4 ft. Please help!

Ket [755]

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2 years ago

Read 2 more answers

Can someone quickly answer this please

AnnyKZ [126]

Answer:

Step-by-step explanation:

Hello !

(4,4*2,4) + (3,14 * 2,2² )/2 =

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2 years ago

Can someone help me?

nasty-shy [4]

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2 years ago

The Director of Admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

VMariaS [17]

Answer:

Variance = 24900

Standard Deviation = 157.7973

Step-by-step explanation:

We are given the following in the question:

Number of admissions: 1000 1200 1500

Admissions Probability: 0.6 0.3 0.1

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\E(x) = 1000(0.6) + 1200(0.3) + 1500(0.1)\\E(x) = 1110\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\E(x^2) = (1000)^2(0.6) + (1200)^2(0.3) + (1500)^2(0.1)\\E(x^2) = 1257000$

Variance =

$\sigma^2 = E(x^2) - (E(x))^2\\\sigma^2 = 1257000 -(1110)^2\\\sigma^2 =24900$

Thus, the variance is 24900.

Standard Deviation =

$\sigma = \sqrt{\sigma^2} = \sqrt{24900} = 157.7973$

Thus, the standard deviation is 157.7973

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2 years ago