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Anna11 [10]
3 years ago
10

The side length of an equilateral triangle is 4x – 5. Which expression represents

Mathematics
1 answer:
horsena [70]3 years ago
8 0

Answer:

12x-15

Step-by-step explanation:

A triangle has 3 sides

An equilateral triangle has 3 sides that are all the same length

The perimeter of a triangle is

P = s1+s2+s3

P = 4x-4 + 4x-5+4x-5

Combine like terms

P = 12x -15

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On each 3 days derrik rode 6.45 km to school, 150 meters to the library, and then 500 meters back home. How many kilometers did
Andrew [12]

Just add all 3 numbers up together:

6.45+ 0.15+0.5

=7.1

Since it was three days multiply the 7.1 by three

=7.1x3

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Step-by-step explanation:

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Read 2 more answers
Calls to a customer service center last on average 2.8 minutes with a standard deviation of 1.4 minutes. An operator in the call
Natali5045456 [20]

Answer:

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

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.

n-values of normal variable:

Suppose we have n values from a normally distributed variable. The mean of the sum of all the instances is M = n\mu and the standard deviation is s = \sigma\sqrt{n}

Calls to a customer service center last on average 2.8 minutes.

This means that \mu = 2.8

75 calls each day.

This means that n = 75

What is the expected total amount of time in minutes the operator will spend on the calls each day

This is M, so:

M = n\mu = 75*2.8 = 210

The expected total amount of time the operator will spend on the calls each day is of 210 minutes.

6 0
3 years ago
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