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3 years ago

22, 23, 23, 24, 20, 8 What is the most appropriate measure of center?

Mathematics

1 answer:

blondinia [14]3 years ago

6 0

Answer:

In this data set, the number 8 is an outlier.

An outlier is a value that is far away from the rest of the numbers (either a lot smaller or a lot greater).

Because there is an outlier, the measure of center that best represents the data would be the median (the middle value).

The mean will not be accurate because the outlier will make it smaller than what is actually being represented in all of the numbers but one.

Hope this helps!!!!

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Two car washes charge a basic fee plus a fee based on the number of extras that

mezya [45]

Answer:

a. The first car wash charges more for the basic fee

b. 6 extras must be chosen for the total cost to be the same

Explanation:

The complete question is shown in the attached diagram

The general form of the linear equation is:

y = mx + c where m is the slope and c is the y-intercept

The y-intercept represents the initial value which, in the given problem, is the basic fee

For the first car wash, we are given the equation:

y₁ = x + 9

Now, we will start by getting the equation for the second car wash:

1- getting the slope:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{12-9}{4-2}=1.5$

The equation now is: y = 1.5x+c

2- getting the y-intercept:

To get the y-intercept, we will simply choose a point, substitute with it in the equation from 1 and solve for c. I will use point (2,9)

y = 1.5 x + c

9 = 1.5 (2) + c ............> c = 6

The equation for the second car wash is:

y₂ = 1.5x + 6

Part 1:

As mentioned above, the y-intercept represents the basic fee

For the first car wash:

y₁ = x + 9 ................> The basic fee is $9

For the second car wash:

y₂ = 1.5x + 6 ..............> The basic fee is $6

It is clear that the basic fee for the first car wash charges more for the basic fee

Part 2:

In both equations, x represents the number of extras. We want the total cost to be the same. So, we will simply equate y₁ and y₂ and solve for x

x + 9 = 1.5x + 6

1.5x - x = 9 - 6

0.5x = 3

x = 6

Let's verify:

For x = 6:

y₁ = x + 9 = 6 + 9 = $15

y₂ = 1.5x + 6 = 1.5(6) + 6 = $15

Total cost is the same. This means that 6 extras must be chosen for the total cost to be the same

Hope this helps :)

6 0

2 years ago

James earned $361.36 for working last week and $347.85 for working this week. What was the total amount he earned?

Svetach [21]

$709.21
$361.36 for week one + $347.85 for week two = $709.21 total for both weeks

3 0

2 years ago

45÷10? a.45 b 45 c .045 d 4.5

podryga [215]

The anwser to your question is d

4 0

2 years ago

Read 2 more answers

75 cm x 50 cm HELP 61 POINTS

katen-ka-za [31]

3,750 cm its simple math really

3 0

3 years ago

Read 2 more answers

Trigonometry help?? Thank you so much!!

liq [111]

Answer:

7) a = 60; b = 100

8) c = 20

9) d = 45

Step-by-step explanation:

a + 120 = 180

a = 60

b + 80 = 180

b = 100

5c + 4c = 180

9c = 180

c = 20

3d + d = 180

4d = 180

d = 45

6 0

3 years ago