Suppose a call center receives 4000 calls on average during their Friday evening shift. Next Friday several people have put in for time off, so the center will be staffed by 178 call center employees. When working continuously, the average call center employee can handle 22 calls per evening shift (with a standard deviation of 5 calls). Assuming the center receives its expected 4000 calls next Friday, what is the probability that the center will have enough employees to handle this call volume

Answer:

the answer is 2

Step-by-step explanation:

Answer:

A. The curve goes through one cycle and starts over

Step-by-step explanation:

I calculated it logically

Answer:

yˆ=32.11⋅1.08x

Step-by-step explanation:

just took the test

Option: A is the correct answer.

The quadratic regression equation for the data set is:

   A. y = 0.056x²+1.278x-0.886

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We are given a set of data value as:

        x                y

        3             3.45

        5              6.9

        6             8.79  

        8             12.91

        10            17.48

        12            22.49

        15            30.85

On plotting these points on a scatter plot we see that the line that best fits these data points is a parabola i.e. the equation is a equation of a quadratic function.

The equation of the line of best fit is:

y = 0.056x²+1.278x-0.886

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Answer:

p=37

Step-by-step explanation:

to get p by its self, you would do:

p+36=73

 -36=-36

p=37

Answer:

37

Step-by-step explanation:

So we would expect both spinners to land on blue once, approximately.

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to occur. The closer the probability is to 1, the more likely the event is to occur, while the closer it is to 0, the less likely it is to occur.

Here,

To solve this problem, we can use the multiplication rule of probability, which states that the probability of two independent events A and B occurring together is equal to the product of their individual probabilities:

P(A and B) = P(A) × P(B)

In this case, we want to find the number of times both spinners land on blue, which is equivalent to the probability that spinner A lands on blue (0.5) multiplied by the probability that spinner B lands on blue (0.4), because the events are assumed to be independent. Therefore:

P(both blue) = P(A blue) × P(B blue) = 0.5 × 0.4 = 0.2

This means that the probability of both spinners landing on blue is 0.2, or 20%.

To estimate the number of times both spinners land on blue out of a certain number of trials, we can use the expected value of a binomial distribution, which is given by:

E(X) = n × p

where X is the random variable representing the number of successes (in this case, both spinners landing on blue), n is the number of trials, and p is the probability of success (0.2 in this case).

We are given that the number of times both spinners land on red is 84, which is equivalent to the number of trials minus the number of times both spinners land on blue. Let's denote the number of trials as n. Then we have:

n - 84 = number of times both spinners land on blue

Substituting the values we have found, we get:

n - 84 = 0.2n

Simplifying and solving for n, we get:

0.8n = 84

n = 105

Therefore, the estimated number of times both spinners land on blue out of 105 trials is: number of times both spinners land on blue

= 0.2 × 105 - 84 ≈ 1

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Answer:

2

Step-by-step explanation:

If you multiply it by 0.10 that is 10 percent and you get 22 which is 2 more than 20

Answer:

Before Tax Price: $20.00

Sale Tax: 10.00% or $2.00

After Tax Price: $22.00

Step-by-step explanation:

Answer:

= -0.7 m + 0.2

[tex] \frac{1}{2} ( - 1.4m + 0.4) \\ = - 0.7m + 0.2[/tex]

Answer:

D. 48

Step-by-step explanation:

QP = 16 (given)

LP = ?

Given that P is the centroid of the triangle, therefore:

QP = ⅓(QL) (based on the centroid theorem)

Plug in the value

16 = ⅓(QL)

Multiply both side by 3

3*16 = QL

48 = QL

QL = 48

Answer:

the answer is 1

Step-by-step explanation:

if you are splitting the recipe in half then just split the amount of the ingredients in half too

half of the 2 cups of flour would be 1 cup of flour

you would also get 9 muffins instead of 18 muffins

Answer:

76 ft of fence is required.

Step-by-step explanation:

21 ft + 17 ft + 21 ft + 17 ft = 76 ft

9514 1404 393

Answer:

Step-by-step explanation:

The coefficients of y are opposites. Adding opposites results in a sum of 0. The y-term will be eliminated by adding the equations.

The result of that addition is ...

  (5x +6y) +(5x -6y) = (32) +(8)

  10x = 40

Answer:

C. c. c.c.c.cc.c.c.

Step-by-step explanation:

Answer:

the second one is the largest

Step-by-step explanation:

Answer:

122in^2

Step-by-step explanation:

A= 10x10x3.14 = 314in^2

Ar= 12x16= 192in^2

Asr= 314-192= 122in^2

Answer:

871.5

Step-by-step explanation:

directly proportional

y = kx

y = 12 when x = 14

12 = k(14)

k = 12/14

k = 6/7

--------------------------

what is the value of x when y = 747

747 = (6/7) * x

Multiply both sides by 7/6

747 * 7/6 = x

871.5 = x

Answer:

If a = 5 and b = 3, then that means 2a - 3b + 3a = 16

Step-by-step explanation:

2a - 3b + 3a

(2×5) - (3×3) + (3×5)

10 - 9 + 15 = 16

Answer:

B) between 8 and 24 hours per week

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 16, standard deviation of 4.

Give an interval around the mean where you believe most (approximately 95%) of the television viewing times fell in the distribution.

Within 2 standard deviations of the mean, so:

16 - 4*2 = 16 - 8 = 8 hours per week.

16 + 4*2 = 16 + 8 = 24 hours per week.

This means that the correcgt answer is given by option B.

Answer:

Step-by-step explanation:

I am pretty sure it is B because if you do SOH CAH TOA you get that

Answer:

B. 99.098%

Step-by-step explanation:

The probability that the person will not die in the next year is 99.098% .

Correct option is B.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Probability of a person will die next year = 902/100000

sum of the probabilities of all events in the sample space is 1.

Then probability of the person will not die in the next year

= 1 - 902/100000

= 1 - 0.00902

= 0.99098

= 0.99098 × 100/100

= 99.098%

Hence, 99.098% is the probability that the person will not die in the next year.

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Answer:

30% increase

Step-by-step explanation:

9514 1404 393

Answer:

  36 cm²

Step-by-step explanation:

This shape can be considered to be a 6 cm by 7 cm rectangle with a 2 cm by 3 cm area cut from the lower right corner. Its area is then ...

  area of full rectangle - area of cutout

  = (6 cm)(7 cm) -(2 cm)(3 cm)

  = 42 cm² -6 cm² = 36 cm² . . . . area of irregular figure

Step-by-step explanation:

always begin any problem by writing what you know

circumference is

u = 2 pi r

1)

u=3.14

r=?

3.14 = 2 pi r

Solve for r

the rest of the problems you just plug the numbers into the formula

wow

wow wow

wow

wowowwowowoowwowowowowoow

Answer: 720 ways

Step-by-step explanation:

Given

Leroy wants to teach his puppy 6 new tricks

Considering each trick is different from other

The first trick can be taught in 6 different ways

After learning the first trick, there are 5 tricks remaining which can be taught in 5 different ways

Similarly, for the remaining tricks, it is 4, 3, 2, and 1 way

So, the total number of ways is [tex]6\times 5\times 4\times 3\times 2\times 1=720\ \text{Ways}[/tex]

Answer:

30 m³

Step-by-step explanation:

2 m x 3 m x 5 m= 30 m³

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