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netineya [11]
2 years ago
9

X

Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

Using the mean concept, it is found that the mean difference between the call times and the  company's average call time is given by:

  • C. 0.4

<h3>What is the mean?</h3>
  • The <em>mean </em>of a data-set is given by the <u>sum of all observations in the data-set divided by the number of observations</u>.

In this problem:

  • The four observations are the differences between the time of each phone call and the average time.
  • They are: {-2.32, -1.55, 4.79, 0.68}

Hence, the mean difference is:

M = \frac{-2.32 - 1.55 + 4.79 + 0.68}{4} = 0.4

Hence, option C is correct.

To learn more about the mean concept, you can take a look at brainly.com/question/13451786

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A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called
kykrilka [37]

Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has  factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

We have to fill "the sieve of Eratosthenes" in the third blank.

Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

#SPJ1

3 0
1 year ago
A cylinder has a radius of 5 and height of 3. what is the volume
Lapatulllka [165]

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = \pir²h   (where r = radius and h = height)

Therefore, volume = \pi x 5² x 3

                               = \pi x 25 x 3

                               = 75\pi

                               = 236 cubic units (to 3 significant figures)

8 0
2 years ago
Simplify sin(3pi minus x)
Slav-nsk [51]

Answer:

sinx

Step-by-step explanation:

hello :

note :

for all x in ℝ :   1) sin(x+2π) = sinx        2)  sin(π-x) = sinx

in this exercice :

3π - x = 2π+(π - x)

sin(3π - x) = sin(2π +(π - x)) =sin(π-x) = sinx

8 0
2 years ago
12. Determine the area of the shaded region. 12 in 12 in​
vekshin1

Answer:

  • 216/7 in²

Step-by-step explanation:

<u>We know that:</u>

  • Area of shaded region = Area of square - Area of circles
  • Radius of circle = 3 in
  • Area of circle = πr²
  • Area of square = s²

<u>Solution:</u>

  • Area of shaded region = Area of square - Area of circles
  • => Area of shaded region = (12²) - 4(22/7 x 3 x 3)
  • => Area of shaded region = (144) - 4(22/7 x 9)
  • => Area of shaded region = (144) - 4(198/7)
  • => Area of shaded region = 144 - 792/7
  • => Area of shaded region = 144 x 7/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 1008/7 - 792/7
  • => Area of shaded region = 216/7 in²
3 0
2 years ago
The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $540 per person per day if exactly 20 people s
lora16 [44]

Answer:

Step-by-step explanation:

Charges up to 20 passengers = $540 per person per day

Total charges = 540 × 20 = $10800

If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)

Total revenue = $(20+x)

But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x

R(x) = 10800 + 540x - 7x

R(x) = 10800 + 533x

a). Revenue per day realized R = 10800 + 533x

b). R(48) = 10800 + 48×533

              = $36,384

C). R(78) = 10800 + 78×543

              = $53,154

5 0
3 years ago
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