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netineya [11]
3 years ago
9

X

Mathematics
1 answer:
Agata [3.3K]3 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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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
3 years ago
The first number is 5 less than 3 times the second number. Twice the first number plus the second number is 137. Find the two nu
Irina-Kira [14]
5-3+10+137 10 and 137 are your numbers hope this helped 
8 0
4 years ago
A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the
zloy xaker [14]

<em><u>Complete Question:</u></em>

A colony of flowers is pollinated by hummingbirds and sunbirds. Let H represents the number of hummingbirds and S represent the number of sunbirds that must pollinate the colony so it can survive until next year.

6H+ 4S> 74

This year, 8 hummingbirds pollinated the colony. What is the least number of sun birds that must pollinate the colony to ensure that it will survive until next year?

<em><u>Answer:</u></em>

The least number of sun birds is 7

<em><u>Solution:</u></em>

Given inequality is:

6H + 4S > 74

Where,

H is the number of hummingbirds

S is the number of sunbirds

This year, 8 hummingbirds pollinated the colony

Substitute H = 8 in given inequality

6(8) + 4S > 74

48 + 4S > 74

Subtract 48 from both sides

48 + 4S - 48 > 74 - 48

4S > 26

Divide both sides by 4

S > 6.5

Hence the least number of sun birds is 7

7 0
3 years ago
Order these numbers from least to greatest. 80 , −9.75 , −9.7 , −24825
Diano4ka-milaya [45]
Least is on top, Greatest is on bottom
-24,825
-9.75
-9.7
80
8 0
3 years ago
100%
Alborosie
6.75%
1 penny = 50% chance of tail
50% x 50% x 50% x 50%= 6.75%
8 0
3 years ago
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