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3 years ago

Can the mean (average) be greater than the largest number in a data set?

1 answer:

3 0

No it can never be greater than the largest number in the set because an average (or a mean) is the "<span> number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number." c:</span>

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A square garden plot measures 180 square feet. A second square garden plot measures 320 square feet. How many more feet of fence

REY [17]

The second garden plot will require 8√5 feet more fence than the first garden plot.

Further explanation:

In order to find the fence, we have to find the perimeter of both squares

So,

Area of Square 1: A1=180 square feet

Area of Square 2: A2=320 Square feet

Let x be the side of square 1:

Then,

$A_1=x^2\\180=x^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{180}=\sqrt{x^2}\\x=\sqrt{2*2*3*3*5}\\x=\sqrt{2^2*3^2*5}\\x=2*3\sqrt{5}\\x=6\sqrt{5}$

For second square:

Let y be the side of second square

$A_2=y^2\\320=y^2\\Taking\ square\ root\ on\ both\ sides\\\sqrt{320}=\sqrt{y^2}\\y=\sqrt{2*2*2*2*2*2*5}\\y=\sqrt{2^2*2^2*2^2*5}\\y=2*2*2\sqrt{5}\\y=8\sqrt{5}$

Perimeter of First Square:

$P_1=4x\\=4(6\sqrt{5})\\=24\sqrt{5}\ feet$

Perimeter of Second Square:

$P_2=4y\\=4(8\sqrt{5})\\=32\sqrt{5}\ feet$

The smaller perimeter will be subtracted from larger perimeter to find that how much more fence will be needed.

$P_2-P_1=32\sqrt{5}-24\sqrt{5}\\=(32-24)\sqrt{5}\\=8\sqrt{5}\ feet$

The second garden plot will require 8√5 feet more fence than the first garden plot.

Keywords: Radicals, Operations on Radicals

Learn more about radicals at:

#LearnwithBrainly

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3 years ago

pam is making fruit punch for a party using the ratio of 2 cups of club soda with 5 cups of juice. complete the table to show eq

inn [45]

Answer:

from left to right 4,20,25,20

Step-by-step explanation:

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3 years ago

What is the IQR (Inter Quartile Range) for the data set?

vladimir2022 [97]

Arrange in ascending order:-

6 7 11 13 14 15 15 19 21

median = 14
lower quartile = mean of 7 and 11 = 9
upper quatile = mean of 15 and 19 = 17

Interquartile range = 17 - 9 = 8

answer is 8

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3 years ago

Abraham is taking his mother out to a restaurant for a mother's day dinner . He orders a meal that cost \$12 and his mom orders

White raven [17]

Answer:

$38.26

Step-by-step explanation:

add the amounts together and multiply by 0.075 and 0.15 add these answers to the original amount

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2 years ago

How do you Simplify this expression in algebra?<br><br> 9x + 2x (5 + 4) - 2(5x + 4x)

Minchanka [31]

One can solve this by first using order of operations, and then combining like terms.

First is parenthesis

9x + 2x(9) - 2(9x)

Now we do the multiplication

9x + 18x - 18x

Now we combine like terms

3 0

2 years ago