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Tcecarenko [31]
3 years ago
7

Audrey makes a certain shade of blue paint. She uses 3 1/2 quarts of blue paint with 5 quarts of white paint. Her cousin Evan wi

ll do the same. He will mix w quarts of white paint with b quarts of blue paint. Which of these equations represents the relationship between w and b ?
Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

b = 0.7w

Step-by-step explanation:

To make a shade of blue paint :

3 1/2 quarts of blue

5 quarts of white

3 1/2 α 5

7/2 = 5k

Where k is the proportionality constant

k = 7/2 ÷ 5

k = 7/2 * 1/5

k = 7/10

k = 0.7

To mix :

b quartz of blue with w quartz of white

b = kw

b = 0.7w

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olga55 [171]

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

<h3>How to calculate the correlation coefficient</h3>

The correlation coefficient (r) is calculated as:

r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}

Using the given parameters, we have:

r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}

Evaluate the exponents

r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}

Evaluate the products

r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}

Evaluate the differences

r = \frac{19168}{\sqrt{[396411*3264}}

Evaluate the product

r = \frac{19168}{\sqrt{1293885504}}

Evaluate the root

r = \frac{19168}{35970.6}

Evaluate the quotient

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Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

8 0
2 years ago
What does the product (-5-2i)(3+7i) equal
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3 years ago
I could use some help , i really cant do geometry :(
Gelneren [198K]

Answer:

I am not sure but for

CAE it is 65˚

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Step-by-step explanation:

x+40=3x-10

Move the 3x to the other side by subtracting by 3x on both sides

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The equation now looks like this:

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Since we found out what x is we can replace x in both CAE and CBD:

For CBD: 25+40 is 65

For CAE: 3(25)-10 is 65

5 0
2 years ago
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\text{Since  det(A) = 0, the  inverse of the matrix does not exist.}

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