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Zinaida [17]
3 years ago
8

Please help :) Thank you

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

C

Explanation:

:) hope this helps

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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
Two rectangular prisms have the same volume.the first prism has a length of 10 meters a width of 6 meters and a height of 2 mete
rusak2 [61]

Answer:

height of second rectangular prism is 5 meters

Step-by-step explanation:

5 0
3 years ago
Suppose that a water fountain produces a stream of water that follows the shape of a parabola. Assigning the origin of a coordin
irina1246 [14]
Vertex = (6, 5)
axis of symmetry is line x = 6
A third point in the parabola is (12, 0)

equation using the vertex is y = -a(x - 6)^2 + 5 = -a(x^2 - 12x + 36) + 5 = -ax^2 + 12ax - 36a + 5
since the parabola passes through point (0, 0)
i.e. -36a + 5 = 0
a = 5/36 = 0.139

Therefore, the equation is y = -0.139x^2 + 12(0.139)x = -0.139x^2 + 1.667x
7 0
3 years ago
What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?
enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box 2\frac{1}{2} inches

                           =\frac{5}{2} inches  

Length of the box 1\frac{3}{4}inches

                           =\frac{7}{4} inches

Height of the box 3\frac{1}{4} inches

                            = \frac{13}{4} inches

The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is  ( \frac{5}{2}  × \frac{7}{4} × \frac{13}{4} )

                                    = ( \frac{455}{32} )

                                    = 14.21 inches cube

 The volume of the box is 41.21 inches cube.

8 0
3 years ago
What are the mean and the mode of the following set of data: 5, 12, 1, 5, 7
Alika [10]
Mean: so basically you add up all the numbers (5+12+1+5+7=30) and divide the sum (30) with how many numbers there are (5) so 30/5=6

mode: mode is numbers repeated, since there are two 5's it is the mode (you may also have multiple modes) 
3 0
2 years ago
Read 2 more answers
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