1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marysya [2.9K]
2 years ago
10

Here are two sets of numbers, a and b. Set a :200,104,100,160. Set b: 270,400,483,300, x. Mean of set a: mean of set b= 3:8. Wor

k out the value of x
Mathematics
1 answer:
LenKa [72]2 years ago
3 0

Given:

The given sets are:

Set a : 200, 104, 100, 160.

Set b: 270, 400, 483, 300, x.

Mean of set a: mean of set b= 3:8

To find:

The value of x.

Solution:

Formula for mean:

Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}

The mean of set of a is:

Mean=\dfrac{200+104+100+160}{4}

Mean=\dfrac{564}{4}

Mean=141

The mean of set of b is:

Mean=\dfrac{270+400+483+300+x}{5}

Mean=\dfrac{1453+x}{5}

Mean=\dfrac{1453+x}{5}

It is given that,

Mean of set a: mean of set b= 3:8

\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}

\dfrac{705}{1453+x}=\dfrac{3}{8}

8\times 705=3\times (1453+x)

5640=4359
+3x

Isolate the variable x.

5640-4359
=3x

1281
=3x

Divide both sides by 3.

\dfrac{1281}{3}
=x

427
=x

Therefore, the value of x is 427.

You might be interested in
Help will mark brainliest.......................................
tekilochka [14]
I'm not gonna give the answer because you have to solve it. Sorry. But I'll help you get it.

Step 1: solve the equation for each angle
Step 2: Add the totals from each angle
Step 3: Divide the total by 360
Step 4: You got your answer

I hope this helped! I'm sorry I answered really late.
3 0
3 years ago
Read 2 more answers
1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a
Goryan [66]

Answer:

Volume of rectangular prism = 175 / 6 inch³

Step-by-step explanation:

Given:

Base area of rectangular prism = 23 ¹/₃ inch² =  70 / 3 inch²

Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism

Volume of rectangular prism = [70 / 3] x [5 / 4]

Volume of rectangular prism = [350 / 12]

Volume of rectangular prism = 175 / 6 inch³

4 0
2 years ago
2 ordered pairs of 6x+9y=0
jeka94

Answer:

1st

6x+9y=0

9y=6x

Y=6x/9

2nd

6x+9y =0

6x=9y

X=9y/6 ans

4 0
3 years ago
Jean transformed a point by using the rule (x,y)(x-6,y+8) the image point is (-4,1) which point is the pre image
Xelga [282]

To find the pre image you need to back track on the image. To get to the image you used (x-6,y+8). Now you need to use the exact opposite to get back to the pre image. For this you would change the signs to look like (x+6,y-8). Now we just apply this to (-4,1).

(-4+6,1-8)

(2,-7) should be the pre image point.

8 0
3 years ago
Read 2 more answers
Tan(-212°) = _____.<br><br> -cot 32°<br> tan 32°<br> cot 32°<br> -tan 32°
Liula [17]
The correct answer is: -tan 32degrees
8 0
2 years ago
Other questions:
  • Which number line represents all of the values of x for the equation x2 = 16? A number line is shown from negative 10 to 0 to po
    12·1 answer
  • Jake earned $400 over the summer. He earned $220 mowing lawns, and he earned the rest washing cars for $10 each. He used this eq
    5·1 answer
  • How to set up an equation to solve for x?
    10·1 answer
  • Solve for V:<br><br>V+9/15=0
    10·1 answer
  • MATH HELP???
    15·1 answer
  • What is the numerator for the following rational expression?<br> e/f+8/f=?/f
    15·1 answer
  • How do you check? <br> -5r+-3=51
    10·1 answer
  • It takes olivia 30 seconds to count to 25 how many minutes will it take Olivia to count to 300
    9·2 answers
  • 2. A rectangular piece of paper
    14·2 answers
  • PLS HELP ME I REALLY NEED HELP
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!