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viktelen [127]
3 years ago
5

In order to solve x 2 + 12 x = 2 by completing the square, what value must be added to both sides?

Mathematics
1 answer:
Arada [10]3 years ago
7 0

Answer:

36

Step-by-step explanation:

x^2 + 12 x = 2

In order to complete the square we need to add ( b/2)^2 to each side where b is the coefficient of the x term

b=12

12/2 = 6

6^2 = 36

We need to add 36 to each side

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A set of exam scores is normally distributed and has a mean of 80.2 and a standard deviation of 11. What is the probability that
ZanzabumX [31]

Answer:

93.32% probability that a randomly selected score will be greater than 63.7.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 80.2, \sigma = 11

What is the probability that a randomly selected score will be greater than 63.7.

This is 1 subtracted by the pvalue of Z when X = 63.7. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{63.7 - 80.2}{11}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

1 - 0.0668 = 0.9332

93.32% probability that a randomly selected score will be greater than 63.7.

5 0
3 years ago
One can convert temperature from Fahrenheit into Newton using the formula N=11/60(F-32) . What is the temperature in Fahrenheit
Rasek [7]

We are given

N=\frac{11}{60} (F-32)

Since, we have to solve for F

so, we will isolate F on anyone side

step-1:

Multiply both sides by 60

60\times N=60\times \frac{11}{60} (F-32)

60N=11 (F-32)

step-2:

Divide both sides by 11

\frac{60N}{11} =\frac{11(F-32)}{11}

\frac{60}{11}N =F-32

step-3:

Add both sides by 32

\frac{60}{11}N+32 =F-32+32

\frac{60}{11}N+32 =F

so, we get

F=\frac{60}{11}N+32................Answer

5 0
3 years ago
Please Help!! 10 Points! Brainliest Answer
Ivenika [448]
The correct answer is D because you already have one side and one angle that are equal so you need one more side
6 0
3 years ago
What is 7 please help me
irga5000 [103]
8/10 is the answer to this problem
6 0
3 years ago
Read 2 more answers
What is the value of x if the size is 3
Leviafan [203]

Answer:

3x

Step-by-step explanation:

3*x

3 0
3 years ago
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