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3 years ago

Complete the square to solve the equation below.

Mathematics

2 answers:

Goryan [66]3 years ago

8 0

Answer:

D. 2

Step-by-step explanation:

x2 +8x-1=19

x2+8x-20=0

x2+8x +(8/2)^2 - (8/2)^2 -20=0

x2+8x+16-16-20=0

x2+8x-36=0

(x+4)^2 =36

X+4=6

X=6-4. X=6+4

X=2, X=10

jenyasd209 [6]3 years ago

3 0

Answer: X= -10, and X=2

Step-by-step explanation:

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Mekhanik [1.2K]

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3 years ago

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IgorC [24]

Answer:

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2 years ago

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A health research institute collects information from 20 individuals on the number of years they have spent smoking cigarettes,

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

$r = 0.53$

Hence, the correlation coefficient is 0.53

Read more about correlation coefficient at:

brainly.com/question/1564293

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2 years ago

90/6 has a hole number

boyakko [2]

Answer:

Step-by-step explanation:

90 ÷ 6 = 15

to convert a faction to a whole number divide the top number by the bottom number

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2 years ago

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#2) Jane wants to have a test average of at least 78.

Vlad [161]

She would have to score atleast a 74 on the test for her average to be 78

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2 years ago