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seropon [69]
3 years ago
15

Lines m and n are parallel. find the value of x. A. 15 B. 20 C. 65 D. 115

Mathematics
2 answers:
torisob [31]3 years ago
6 0

Answer:

Option B, x = 20

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

The values of 65 degrees and (3x + 5) are equal.

65 = 3x + 5

<u>Step 2:  Subtract 5 from both sides</u>

65 - 5 = 3x + 5 - 5

60 = 3x

<u>Step 3:  Divide both sides by 3</u>

60 / 3 = 3x / 3

<em>20 = x</em>

<em />

Answer:  Option B, x = 20

Andrews [41]3 years ago
6 0

The angle 65° is the same as the angle (3x + 5)° because their parallel.

We can write this as (3x + 5) = 65

Now, solve for x.

3x + 5 = 65

3x + 5 - 5 = 65 - 5

3x = 60

3x/3 = 60/3

x = 20 (Option B)

Best of Luck!

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3 years ago
Raw scores on a certain standardized test one year were normally distributed, with a mean of 156 and a standard deviation of 23.
s344n2d4d5 [400]

Answer:

About 220 of the students scored less than 96

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 156 and a standard deviation of 23.

This means that \mu = 156, \sigma = 23

Proportion that scored less than 96:

p-value of Z when X = 96. So

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

Z = \frac{96 - 156}{23}

Z = -2.61

Z = -2.61 has a p-value of 0.00453.

About how many of the students scored less than 96?

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Rounding to the closest integer:

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Is this the actual question
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