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:
[tex]Mean=\dfrac{\text{Sum of observations}}{\text{Number of observation}}[/tex]
The mean of set of a is:
[tex]Mean=\dfrac{200+104+100+160}{4}[/tex]
[tex]Mean=\dfrac{564}{4}[/tex]
[tex]Mean=141[/tex]
The mean of set of b is:
[tex]Mean=\dfrac{270+400+483+300+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
[tex]Mean=\dfrac{1453+x}{5}[/tex]
It is given that,
Mean of set a: mean of set b= 3:8
[tex]\dfrac{141}{\dfrac{1453+x}{5}}=\dfrac{3}{8}[/tex]
[tex]\dfrac{705}{1453+x}=\dfrac{3}{8}[/tex]
[tex]8\times 705=3\times (1453+x)[/tex]
[tex]5640=4359 +3x[/tex]
Isolate the variable x.
[tex]5640-4359 =3x[/tex]
[tex]1281 =3x[/tex]
Divide both sides by 3.
[tex]\dfrac{1281}{3} =x[/tex]
[tex]427 =x[/tex]
Therefore, the value of x is 427.
Write an equation to fit the following situation. On Monday, 340 students
went on a trip to the zoo. All 7 buses were filled equally and 4 students had
to travel in cars.
use your equation from above to solve how many students were on each bus
will mark brainliest
Answer:
48
Step-by-step explanation:
first you need to subtract the total number of students 340, by 4:00 because four of them had to travel in cars so they weren't on the bus. since there are seven buses and now 336 students going to travel on buses each buses must be split equally so you need to divide 336 by 7 giving you 48
1
2.- of a number is 8, what is the number?
a ,
4
Answer:
the answer for this question is 4
Y
х
B В
The transformation below is applied
to AXYZ
(XY) → (0.5x, 0.5y)
What are the coordinates of point X"?
0 62.0.5)
(0.5,-2)
(2.0.5)
0 1.2, 0.5)
Answer:
(-2, 0.5) first
Step-by-step explanation:
X (-4, 1) → X' (-4*0.5, 1*0.5)
X'(-2, .5)
Help, please
The function f(x) = 2x − 1 is transformed to function g through a horizontal shift of 7 units left. What is the equation of function g?
Replace the values of h and k in the equation.
g(x)=2x+h+k
Answer:
g(x)=2x-1+7 or g(x)=2x+6
Step-by-step explanation:
Its the opposite when your subtracting and adding
To graph the inequality y < -5x + 3, you would draw a solid line.
A. True
O B. False
Answer:
A. True
explanation:
Inequalities that use ≤ or ≥ symbols are plotted with a solid line.
A.
B.
C.
D.
Choose the one that would not fall on this line
Find the a value, b value, and c value.
Answer:
aX²+bX+c=0
a=1
b=-8
c=12
HELP PLEASE ASAP PLESDE HELP
Answer:
16^¼=2
Step-by-step explanation:
16^¼=⁴√16
so, 2⁴=16
so it's 2,
verification
2×2×2×2=16
Answer:
2
Step-by-step explanation:
ASAP:(
Match each system of equations to the diagram that represents its solution.
Answer:i need this answer
Step-by-step explanation:
Please help I need it in 5 minutes
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
Step-by-step explanation:
would you still like me to help you with this question
Answer:
0.3
Step-by-step explanation:
what is the algebraic expression of the difference of 4 times a and b?
Answer:
4(a+b)
Step-by-step explanation:
zuma took a loan of 630 000 from the bank. he will repay the loan over 48 months at 9.5% per annum simple interest. how much interest will zuma pay on the loan
Answer:
Interest amount = 239400
Step-by-step explanation:
Below is the calculation of interest amount:
Given the loan amount or present value = 630000
Time period = 48 months or 4 years
Interest rate give = 9.5%
Total amount = P ( 1 + rt)
P = 630000
r = 9.5%
t = 4 years
Total amount = 630000 ( 1 + 9.5% x 4)
Total amount = 869,400
Interest amount = 869400 - 630000
Interest amount = 239400
Find the value of p when 3^p=1/9
Answer:
[tex]p = -2[/tex]
Step-by-step explanation:
Create equivalent expressions in the equation that all have equal bases, then solve for p .
How many terms are in the following expression:
45x + 13x − 19 + 16/3(3)x − 21.5
Answer:
45+13−19+163(3)⋅\−21.5 They also have a pdf if you need it
unit 6-10 answer key.pdf
Step-by-step explanation:
What is the surface area of the cylinder with a height of 3 m and radius of 4 m? Round your answer to the nearest thousandth.
Answer:
The surface area of the cylinder is of 131.947 square meters.
Step-by-step explanation:
Surface area of a cylinder:
The surface area of a cylinder of height h and radius r is given by the following equation:
[tex]S_a = 2\pi r(h+r)[/tex]
What is the surface area of the cylinder with a height of 3 m and radius of 4 m?
[tex]h = 3, r = 4[/tex].
So
[tex]S_a = 2\pi r(h+r) = 2\pi(3)(3+4) = 42\pi = 131.947[/tex]
Height and radius are in meters, so the surface area will be in square meters.
The surface area of the cylinder is of 131.947 square meters.
Which graph is the solution to x < 6
Answer:
C.
Step-by-step explanation:
hope this helps
Answer:
C
Step-by-step explanation:
C shows it being anything below six, and if x is less than six this is the correct answer.
Please answer this math question please and fast
Answer:
its do9ne
Step-by-step explanation:
Answer:
its the one next to the yellow one. hope it helps.
Step-by-step explanation:
This is a grade pls help asap i need tye answer quickly.
Answer:
the first question I think yes cause the second one says that there is y line
the y intercept is 9
The price of a house is originally listed at $150,000. The owners are having a hard time selling it and decide to reduce the price to $115,500. What is the percentage decrease of the price of the house?
Answer:
there is a 23% decrease in the price of the house
Step-by-step explanation:
percentage decrease of the price of the house = (price decrease of the house / initial price of the house) x 100
price decrease of the house =new price - initial price
$115,500 - $150,000 = $-34,500
( $-34,500 / $150,000) x 100 = -23%
If the sales tax rate is 7.6%.how much sales tax will you pay on 330
item
Answer:
25.08
Step-by-step explanation:
330 x .076=25.08
PLEASE HELP FOR BRAINLIST
Will mark brainliest ❤️
Answer:
The answer is A
Step-by-step explanation:
Well, there is an actual way of doing it but I forgot how to do it, my calculator got A so yeah, hope that helps
Find measure angle GJK (5x + 8) (7x - 16)
Hi there!
[tex]\large\boxed{22^o}[/tex]
Find m∠GJK by finding the value of its complementary angle and subtracting from 90°.
Using the Alternate Interior Angle theorem:
m∠HJI = m∠JHG, so:
7x - 16 = 5x + 8
Solve for x:
2x - 16 = 8
2x = 24
x = 12
Substitute in this value of x to solve for m∠HJI:
7(12) - 16 = 84 - 16 = 68°
Thus:
m∠GJH = 90 - 68° = 22°
Melissa wants to expand her rectangular sandbox that measures 4 feet by 8 feet. Two sides of the sandbox are against a fence. She wants to increase the length and the width of the sandbox by the same amount on the two sides that are not against the fence. The total area of the new sandbox will be 60 square feet. What is the amount of increase?
Answer:
The amount with which she should increase the length and the with of the sandbox is 2 feet each
Step-by-step explanation:
The dimensions of Melissa's rectangular box are;
Width of the box = 4 feet
Length of the box = 8 feet
The total area of the new sandbox, A = 60 square feet
Let 'x' represent the amount by which she increases the width and lengths of sides that not against the fence, we have;
The area of the new sandbox, A = The new length × The new width
A = 60 ft.²
The new length = 8 + x
The new width = 4 + x
∴ A = 60 = (8 + x) × (4 + x) = x² + 12·x + 32
60 = x² + 12·x + 32
60 - 60 = 0 = x² + 12·x + 32 - 60
∴ x² + 12·x - 28 = 0
(x + 14)·(x - 2) = 0
x = -14 or x = 2
Therefore, the amount she can increase the width and lengths of sides that not against the fence to have make a new sandbox with an area of 60 ft.² is, x = 2 feet
The amount of increase of the length and the width of the sandbox, x = 2 feet each.
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
What angle is this?
-Complementary
-Supplementary
-Vertical
-Adjacent
Answer:
Adjacent
Step-by-step explanation:
Since angle a and b are right next to each other, they would be adjacent.
Find the theoretical probability that the spinner below lands on the letter B. Write your answer as a fraction in simplest form. Use "/" for fractions with no s
Answer:
The theoretical probability that the spinner below lands on the letter B is 1/2
Step-by-step explanation:
Given
[tex]S =\{A,B,B,B,C,C\}[/tex]
[tex]n(S) = 6[/tex]
See attachment for spinner
Required
P(B)
From the attached spinner, we have:
[tex]n(B) = 3[/tex] --- occurrence of B
So:
[tex]P(B) = \frac{n(B)}{n(S)}[/tex]
[tex]P(B) = \frac{3}{6}[/tex]
[tex]P(B) = 1/2[/tex]
The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a rectangle with a perimeter of 34 inches and a length of 5 inches. In your final answer, include all necessary calculations.
Answer:
12 inches
Step-by-step explanation:
5 + 5 = 10
34 - 10 = 24
24 ÷ 2 = 12
Therefore, the answer is 12 inches.
Which function has the least rate of change?