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kramer
3 years ago
15

2. The rectangular floor of a garage has an area of 198 square feet. Andy knows that the floor is 7

Mathematics
1 answer:
Charra [1.4K]3 years ago
6 0

Answer:

length = 18 ft

Step-by-step explanation:

Let w = width

L = w+7

Area = l*w

198 = (w+7) (w)

Distribute

198 = w^2 +7w

Subtract 198 from each side

0 = w^2 +7w -198

Factor

What 2 numbers multiply to -198 and add to 7

18* -11 = -198

18+-11 = 7

0=(w+18) (w-11)

Using the zero product property

w+18 =0  w-11=0

w= -18   w=11

We cannot have negative width  so w=11

We want the length

l = w+7

l = 11+7 = 18

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ICE Princess25 [194]

Answer:

  g(f(x)) = √(x^2 +17)

Step-by-step explanation:

For ...

  f(x) = x^2 +9

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The definition of g(f(x)) is ...

  g(f(x)) = g(x^2 +9) = √((x^2 +9) +8)

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6 0
3 years ago
What is the solution to the equation –10.3+y = 5.2?
quester [9]
-10.3 + y = 5.2

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3 years ago
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8 0
3 years ago
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Help me and I’ll give brainliest! Plsss
olganol [36]
Answer:
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Explanation:
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4 0
2 years ago
Coach Evans recorded the height, in inches of each player on his team. The results are shown.
marysya [2.9K]

Answer:

3

Step-by-step explanation:

Given:

Team heights (inches):

61, 57, 63, 62, 60, 64, 60, 62, 63

To find: IQRs (interquartile ranges) of the heights for the team

Solution:

A quartile divides the number of terms in the data into four more or less equal parts that is quarters.

For a set of data, a number for which 25% of the data is less than that number is known as the first quartile (Q_1)

For a set of data, a number for which 75% of the data is less than that number is known as the third quartile (Q_3)

Terms in arranged in ascending order:

57,60,60,61,62,62,63,63,64

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As number of terms is odd, exclude the middle term that is 62.

Q_1 is median of terms 57,60,60,61

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So, Q_1=60

So, 25% of the heights of a team is less than 60 inches

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So, Q_3=63

So, 75% of the heights of a team is less than 63 inches

Interquartile range = Q_3-Q_1=63-60=3

The interquartile range is a measure of variability on dividing a data set into quartiles.

The interquartile range is the range of the middle 50% of the terms in the data.

So, 3 is the range of the middle 50% of the heights of the students.

4 0
3 years ago
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