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Naily [24]
2 years ago
6

Slope intercepts No links, Will mark BRAINLIEST

Mathematics
1 answer:
Sergeeva-Olga [200]2 years ago
8 0

Answer:

<em><u>Lines are perpendicular to each other .</u></em>

Step-by-step explanation:

Standard equation  of line is : y = mx + c, Where m represents the slope

Given Equations :

y = -5x + 1\\\\Slope , m_1 = -5

y = \frac{1}{5}x +1\\\\Slope, m_2 = \frac{1}{5}

Two lines are parallel if the slope of the lines are same.

Two line are perpendicular if the product of the slope = - 1

Clearly slopes are not equal , therefore the lines are not parallel.

           product of the slope is - 1, therefore the lines are perpendicular.  

                                m_1 \times m_2 = -5 \times \frac{1}{5} = - 1

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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
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
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The probability is 0.1458.

The probability is given by:

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5 0
3 years ago
What is .9 to the 50th power?
GaryK [48]
0.9^50=0.0051537752That's your answer.<span>

</span>
8 0
3 years ago
Read 2 more answers
7) 2x + y = 7<br> What is the intercept
posledela

Answer:

2x + y = 7

x=7/2

y=7

Step-by-step explanation:

to find y itercept =0

to find x intercept=0

5 0
3 years ago
In 195019501950, the per capita gross domestic product (GDP) of Australia was approximately \$1800$1800dollar sign, 1800. Each y
mezya [45]

Answer:

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

Step-by-step explanation:

Given that,

in 1950, the per capita GDP of Australia was $1800.

The capita GDP is increased by 6.7 % per year.

In 1951, the capita GDP was increased =6.7% of $1800

The capita GDP was= $1800+ 6.7% of $1800

                                 =$1800(1+6.7%)

In 1952, the capita GDP was increased =$1800(1+6.7%)

The capita GDP was=$1800(1+6.7%)+ 6.7% of$1800(1+6.7%)

                                 =$1800(1+6.7%)(1+6.7)

                                 = $1800(1+6.7%)²

                                 =$1800(1+0.067)²

In 1952, the capita GDP was increased =$1800(1+6.7%)²

The capita GDP was=$1800(1+6.7%)²+ 6.7% of$1800(1+6.7%)²

                                 =$1800(1+6.7%)²(1+6.7)

                                 = $1800(1+6.7%)³

                                  =$1800(1+0.067)³

and so on.

The function of capita GDP is given by

G(t)= 1800(1+0.067)^t

where G(t) is in dollar and t is years after 1950.

6 0
3 years ago
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