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3 years ago

An angle measures eleven more than four times a number. Its compliment is

Mathematics

1 answer:

Rus_ich [418]3 years ago

7 0

Answer:

35 and 55 degrees

Step-by-step explanation:

Let's use n for the number

Angle 1 = 4n+11

Angle 2 = 3n+2

Since it states that these angles are complimentary, they add up to 90 degrees

So we can write an equation using what is given.

Angle 1 + Angle 2 = 90

4n+11+3n+2 = 90

Combine like terms

7n+13 = 90

Subtract 13 from each side

7n = 77

n = 11

Now we plug eleven in for n and solve for the measure of each angle.

Angle 1 = 4(11)+11

Angle 1 = 44+11

Angle 1 = 55

Angle 2 = 3(11)+2

Angle 2 = 33+2

Angle 2 = 35

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A rectangle is 3 times as long as it is wide. if the area is 27 square feet, find its perimeter.

Marat540 [252]

W - a width
3w - a length
27 ft² - an area

Therefore:

w · 3w = 27
3w² = 27 |:3
w² = 9 → w = √9 → w = 3

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3 years ago

A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s

Naily [24]

Answer:

The mean is $\mu = 131$

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:

$\sigma = 39$