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oee [108]
3 years ago
5

Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage ofthe total va

riation that can be explained by the linear relationship between the two variables. r = 0.885 (x = weight of male, y = waist size of male)
Mathematics
1 answer:
Vikentia [17]3 years ago
4 0

Answer:

Step-by-step explanation:

The coefficient of determination = r^{2}  = 0.885^{2} = 0.7832

It means about 78% variation in waist size of males can be explained by their weight and about 23% can not be explained.

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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:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

6 0
3 years ago
A salesperson earns $320 per week plus 8% of her weekly sales. The expression representing her earnings is 320 + 0.08x. Which of
Arturiano [62]

Answer:

Here, x represents the weekly sale

As per the statement:

A salesperson earns $320 per week plus 8% of her weekly sales.

"8% of her weekly sales" means \frac{8}{100}x = 0.08x

then;

the expression which represents her earning = 320+0.08x

"At least" means "\geq"

then;

the sales necessary for the salesperson to earn at least $1000 in the one week

⇒320+0.08x\geq 1000

Subtract 320 from both sides we have;

0.08x\geq 680

Divide both sides by 0.08 we get:

x\geq 8500

Therefore, the sales necessary for the salesperson to earn at least $1000 in the one week is: greater than or equal to $8500 i.e  x\geq 8500

6 0
3 years ago
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If we solve this equation: <span>8.9=logx+7.9

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3 years ago
7 is what percent of 105
Olenka [21]
The answer to your question is 6.67.
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3 years ago
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At 9 a.m. the temperature will be 12
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