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Nadya [2.5K]
3 years ago
15

5p-9=2p+12 Please help!!!

Mathematics
2 answers:
Luba_88 [7]3 years ago
4 0
5p-9=2p+12
   +9       +9
 5p= 2p+21
-2p -2p
3p/3=21/3
p=7

allsm [11]3 years ago
3 0
First we have to collect the like terms (The terms with the same variables) on the same side so it becomes:
5p-2p=12+9
Then you simplify it by combining the like terms so it becomes:
3p=21
Now you simplify by dividing both sides by 3 and it becomes:
p=7

Hope this helps :)
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True or false the in-center of a triangle is the point equidistant from each side of the triangle
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True.

Step-by-step explanation:

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The in-center of a triangle is a point located in the center of the triangle. It is equal distance from all sides of the triangle.

Therefore, it is True.

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Step-by-step explanation:

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5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th
xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is P(1.48 \leq X \leq 15.56) = 0.919

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be 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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that \mu = 8, \sigma = 4

The probability that X is between 1.48 and 15.56

This is the pvalue of Z when X = 15.56 subtracted by the pvalue of Z when X = 1.48. So

X = 15.56

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

Z = \frac{15.56 - 8}{4}

Z = 1.89

Z = 1.89 has a pvalue of 0.9706

X = 1.48

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

Z = \frac{1.48 - 8}{4}

Z = -1.63

Z = -1.63 has a pvalue of 0.0516

0.9706 - 0.0516 = 0.919

Write out the probability notation for this question.

P(1.48 \leq X \leq 15.56) = 0.919

The probability that X is between 1.48 and 15.56 is P(1.48 \leq X \leq 15.56) = 0.919

5 0
3 years ago
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