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oksian1 [2.3K]
2 years ago
11

If the equation x^2 - 12x - 9 = 0 is converted to the form (x - b)^2 = c and the resulting equation is (x - 6)^2 = c, what is th

e value of c?
Mathematics
1 answer:
Radda [10]2 years ago
7 0

Answer:

Step-by-step explanation:

Identified

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Which is the contrapositive of the conditional statement?
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The answer is "If it does not have four legs, then an animal is not a deer."

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.
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3 years ago
Solve the given equation.<br><br><br><br> 6p = 72
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The answer is p=12....
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3 years ago
Read 2 more answers
Consider a data set containing the following values: 70 65 71 78 89 68 50 75 The mean of the preceding values is 70.75. The devi
Leokris [45]

Answer:

If this is the sample data, the sample variance is 125.07 and the sample standard deviation is 11.18

If this is a population data, the population variance is 109.44 and the population standard deviation is 10.46

Step-by-step explanation:

We are given the following data-set:

70, 65, 71, 78, 89, 68, 50, 75

Deviations from the mean

–0.75, –5.75 , 0.25, 7.25, 18.25, –2.75, –20.75, 4.2

Sample size, n = 8

Sample:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

s = \sqrt{\dfrac{875.5}{7}} = 11.18

\text{ Sample variance} = s^2 = 125.07

Population:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences =

0.5625 + 33.0625 + 0.0625 + 52.5625 + 333.0625 + 7.5625 + 430.5625 + 18.0625 = 875.5

\sigma = \sqrt{\dfrac{875.5}{8}} = 10.46

\text{ Population variance} = \sigma^2 = 109.44

7 0
3 years ago
Amanda bought new shoes and she received a 25% off discount. If the discount was $17, what was the original price of the shoes?
Ede4ka [16]

Answer:

68

Step-by-step explanation:

6 0
2 years ago
What is the mean absolute deviation (MAD) of the data set?
irakobra [83]

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

3 0
2 years ago
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