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.
find the missing term in the sequence 3 ,-1 ,- 5 ____ -13
a. -6
b. -7
c. -9
d. -11
Answer:
C. -9
Step-by-step explanation:
The pattern is clearly subtracting 4 each time (or adding -4).
-5 - 4 = -9
Which expression below has the same value?
Answer:A
Step-by-step explanation:
Answer:
15/8
Step-by-step explanation:
You will want all numbers to have the same common denominator, then you can add them together.
1 = 8/8
1/2 = 4/8
1/4 = 2/8
1/8 = 1/8
[tex]1+\frac{1}{2} +\frac{1}{4} +\frac{1}{8} \\\frac{8}{8} +\frac{4}{8} +\frac{2}{8} +\frac{1}{8}[/tex]
Choose the inequality that represents the following graph.
the answer is C since it needs to be lees than or -2
Using the figure, find the missing values. Round each value to the nearest whole number.
Answer:
44
14
19
47
Step-by-step explanation:
using trig functions
at freddie's fruit stand peaches are on sale you can buy 10 peaches for 2.00 how much dose each peach cost
Answer:
0.20
Step-by-step explanation:
Dan bought a new computer for $900. Each year, the value of the computer decreased by 25% of the previous year’s value.
At this rate, what can Dan expect the approximate value of the computer to be after 12 years?
A $73
B. $90
C. $29
D. $85
Answer:
$29, that is the answer for this question
Here is a diagram and its corresponding equation. Find the solution to the equation.
4(+7)=38
Answer:
The solution to the equation is:
x = 2.5 or x = 5/2Step-by-step explanation:
To find the solution to the equation, you only must operate the equation until you clear the x variable, with the next steps:
Equation: 4(x+7) = 38And we solve:
4x + 28 = 38 (we multiply 4 by x and 7)4x = 38 - 28 (we pass the +28 to subtract to the right side of the equality and operate)x = 10 / 4 (we pass the 4 that is multiplying to divide to the right side of the equality)x = 2.5 (we divide)As you can see, the solution of the equation is x = 2.5 or x = 5/2
Ty
4
3
2
+
5-3-2-1
1
2
3
4
S
X
ما 3
S
S
4
3
Answer:
69
Step-by-step explanation:
69
pls help me solve this question
Answer:
1 . x 3 + 3 x 2 y + 3 x y 2 + y 3
2. x 3 - 3 x 2 y + 3 x y 2 - y 3
3. a + b
4 . a - b
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
Please help!
From the table what are the x and y intercepts in coordinate form?
Answer:
(0,3) is the x intercept
(3,0) is the y intercept
Step-by-step explanation:
When it has 0 that means its directly on the line, since x is 0 on (0,3) that means the line is crossing the x intercept
PLEASE I NEED HELP Lisa made a chocolate milkshake in the blender for her daughter. The milkshake occupies just a little more than 75 cubic inches of space in the blender pitcher. When serving the milkshake to her daughter, she has three glasses to choose from. Determine whether or not each of the three classes is large enough to contain all of the chocolate milkshake that Lisa made for her daughter. Use 3.14 to approximate .
Glass A with a height of 2.1 inches and a diameter of 5 inches is _____
to contain the entire chocolate milkshake.
Glass B with a height of 2.7 inches and a radius of 4.6 inches is_____
to contain the entire chocolate milkshake.
Glass C with a height of 3.1 inches and a radius of 2.7 inches is ____
to contain the entire chocolate milkshake.
choices are too small and too large
Answer:
Glass c
Step-by-step explanation:yw :)
A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623v
Answer:
Whats ur quetsion?
find the value of x HELP PLS
Answer:
x=45
Step-by-step explanation:
both angles are opposite angles with the same measurements
Set your formula up as
x+30=2x-15
30=2x-15-x
45=x
Now substitute 45 in place of x
x+30
45+30 = 75
2x-15
2*45-15 = 75
2x - 15 = x + 30
2x - 15 + 15 = x + 30 + 15
2x = x + 45
2x - x = x - x + 45
x = 45
What is the solution to 1/2|x|=-3?
A. X = -6
B. X= -6 or x = 6
C. X = -6 or x = 2
D. No solutions exist
Answer:
The answer is D: No solutions exist
What is the probability that a randomly selected student who lives in Nebraska plans to stay in his or her home state after graduation? Round your answer to the nearest hundredth.
Answer:
[tex]P (Yes | Nebraska) = 0.10[/tex]
Step-by-step explanation:
Given
See attachment for contingency table
Required
[tex]P (Yes | Nebraska)[/tex]
From the contingency table, we have:
[tex]P (Yes\ n\ Nebraska) = 0.044[/tex]
[tex]P (No\ n\ Nebraska) = 0.400[/tex]
The required can be represented as:
[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]
Where
[tex]P (Nebraska) = P (No\ n\ Nebraska) +P (Yes\ n\ Nebraska)[/tex]
So, we have:
[tex]P (Nebraska) = 0.400 + 0.044[/tex]
[tex]P (Nebraska) = 0.444[/tex]
So, we have:
[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]
[tex]P (Yes | Nebraska) = \frac{0.044}{0.444}[/tex]
[tex]P (Yes | Nebraska) = 0.10[/tex] --- approximated
HELP I CANT FAIL AGAIN
Answer:
49
Step-by-step explanation:
What is the answer ?
Answer:
A. AB≈ DE
is the answer to this question
HELP ME OUT PLEASEEEEEEEEEEEe
Step-by-step explanation:
y = 15× tan25° = 15×0.466 = 6.99 m
r (Hypotenuse) = 15/cos25° = 15/0.906
= 16.56m
the total height = 6.99+16.56 = 23.55 m
The two-dimensional net of a rectangular prism is shown at the left. What is the prism’s surface area?
Answer:
Need a picture so someone can answer.
Answer:
Step-by-step explanation:
Sorry but i can not help you without a picture being present
Does anyone know this
Answer:
8 2/3
Step-by-step explanation:
26/3
CONVERT TO A MIXED FRACTION
8 2/3
Answer:
Step-by-step explanation:
3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]
4*3+1/4 * 8/3
13/4*8/3
13*8/4*3
104/12
26/3
not :when u change division sign into multiplication then do the reciprocal .
?????????????!!!!!!!!!
Answer:
B
Step-by-step explanation:
Part A
This year, water usage has increased by 20% for both regular days and special events.
LAST YEAR'S WATER USAGE:
All regular days - 13,505 gallons
Per special event - 18.5 gallons
Total for the year - 13,616 gallons
Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted.
Answer:
The total water usage at the park this year, in gallons, U = 16,206 + 22.2·x
Step-by-step explanation:
The given parameters are;
The increase in water usage for both regular days and special event for the current year = 20%
The water usage for last year regular days = 13,505 gallons
The water usage per special event = 18.5 gallons
The total water usage = 13,616 gallons
Therefore, we have;
The water usage for regular days on the current year = 13,505 gallons + (20/100)×13,505 gallons = 16,206 gallons
The water usage per special event for the current year, x = 18.5 gallons + (20/100) × 18.5 gallons = 22.2 gallons
The total water usage, U, at the park this year in terms of 'x', the number of special events the park hosted is given by the sum of the amount of water used on regular days and the product of 'x', and the amount of water used per special event this year as follows;
U = 16,206 gallons + x × 22.2 gallons
∴ The total water usage at the park this year, U = 16,206 + 22.2·x
Answer:
U=16,206+22.2 ^. x
Step-by-step explanation:
complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates
Answer:
[tex]y=(x-3)^2-7[/tex]
Minimum
(-3,-7)
Step-by-step explanation:
[tex]y=x^2 -6x+2[/tex]
[tex]b=-6[/tex]
[tex]\frac{b}{2} =(-3)^2=9[/tex]
[tex]y+7=x^2-6x+9[/tex]
[tex]y=(x-3)^2-7[/tex]
-7 is a minimum.
please help me out !! i rlly need it!
MIC UP YOU SCARED TO GET PACKED!!!!!!
Answer:
lol huh...
Step-by-step explanation:
what is 5¹? and just what does ¹ mean? like whats the formula for the equation?
Answer:the answer is 5 it means you mutiply five that many times
Step-by-step explanation:
Answer:
5¹=5
5¹ means that you multiply 5 by itself 1 times
z2+4z-165=(z-11)(z+-15)
Answer: look at the picture
Step-by-step explanation: Hope this help :D
I believe it is C. But if I’m wrong let me know :)
(No link pls <3)
I also think- Because you're drawing on the same marble without replacing it.
A.
B.
C.
D.
Choose the one that would not fall on this line
solve 3x-y=7 for x if weird answer will report
Answer:
x = 1/3y +7/3
Step-by-step explanation:
3x-y=7
Add y to each side
3x-y+y=7+y
3x = y+7
Divide each side by 3
3x/3 = y/3 + 7/3
x = 1/3y +7/3
Answer:
x= 7/3 + y/3
Step-by-step explanation:
divide each term by 3 and simplify