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weeeeeb [17]
2 years ago
10

The mean of three numbers x, y and z is 6 and the mean of five numbers x, y, z, a and b is 8.

Mathematics
1 answer:
aksik [14]2 years ago
7 0

Answer:

11

Step-by-step explanation:

To find the mean of a set of numbers, we add all of the numbers together and divide the sum by the size of the set. For that first set, we have three numbers, x, y and z, so the equation for their mean would be

\dfrac{x+y+z}{3}=6

We can rearrange this equation by multiplying both sides by 3, getting the equivalent equation

x+y+z=18\ \ \ \ (1)

Let's do the same thing for the second mean:

\dfrac{x+y+z+a+b}{5}=8

x+y+z+a+b=40\ \ \ \ (2)

With the two equations we've obtained, we can subtract (1) from (2) to get rid of x, y, and z, leaving us with

a+b=22

To find the mean of a and b now, all we have to do is divide both sides of the equation by 2, and we see that

\dfrac{a+b}{2}=11

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-7 + 2x = -45<br> a 1<br> b -19<br> c 11<br> d -16
Marina86 [1]

Answer:

B) -19

Step-by-step explanation:

-7 + 2x = -45

+7             +7

2x = -38

/2      /2

x = -19

7 0
3 years ago
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Express each equation in the form y = mx + b: 5x + y – 3 = 0
Aleks [24]

Answer:24

Step-by-step explanation:

7 0
3 years ago
Find the approximate perimeter of ABC plotted below.
maksim [4K]

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)}

AB = \sqrt{4 + 4}

AB = \sqrt{16}

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)}

BC = \sqrt{25 + 49}

BC = \sqrt{74}

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)}

AC = \sqrt{47 + 25}

AC = \sqrt{74}

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

8 0
3 years ago
6636=3<br> 8118=4 <br> 2212=0<br> 8688=?<br> 5971=?
pochemuha
6636 has 3 circle so 6636=3
8118 has 4 circle so 8118=4
2212 has 0 circle so 2212=0
8688 has 7 circle 8688=7
5971 has 1 circle 5971=1
6 0
2 years ago
A professor has kept records on grades that students have earned in his class. If he wants to examine the percentage of students
AleksandrR [38]

Answer:

Pie chart

Step-by-step explanation:

Given that a  professor has kept records on grades that students have earned in his class

He wants to examine the percentage of students earning the grades A, B, C, D, and F during the most recent term,

We have to find which kind of plot could he make

Box plot gives comparison for interval of scores this is to some extent helpful to find out the percentage of students getting a range of scores

Timeplot is irrelevant here.  Dot plot will not be of much use.  

Histogram is to some extent useful as box plot

But the best one is pie chart giving easy visual comparison for various grades A, B,C,D,E and F

8 0
3 years ago
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