Answer: a) 25%
b) 75% Chebyshev interval around the sample mean=(6,18)
Step-by-step explanation:
Given: Sample mean: [tex]\overline{x}=12[/tex]
Sample standard deviation: s= 3
a) Coefficient of variation = [tex]\dfrac{s}{\overline{x}}\times100[/tex]
[tex]\\\\=\dfrac{3}{12}\times100\%=\dfrac{100\%}{4}\\\\=25\%[/tex]
b) According to the Chebychev's theorem,
75% of the population lies within 2 standard deviations from the sample mean.
i.e. 75% Chebyshev interval around the sample mean. = [tex](\overline{x}-2s,\ \overline{x}+2s)[/tex]
[tex]=(12-2(3),\ 12+2(3))\\\\=(6, 18)[/tex]
Hence, the 75% Chebyshev interval around the sample mean=(6,18)
Mark is making jackets. Mark took 2 hours to make a jacket. The jacket was made up of 50 kilograms of wool. How long do you think it will take Mark to use 500 kilograms of wool for the jackets?
Given:
Mark took 2 hours to make a jacket.
The jacket was made up of 50 kilograms of wool.
To find:
The time in which Mark use 500 kilograms of wool for the jackets.
Solution:
We have,
1 jacket take 2 hours.
Number of jackets in 50 kg of wool = 1
Number of jackets in 1 kg of wool = [tex]\dfrac{1}{50}[/tex]
Number of jackets in 500 kg of wool = [tex]\dfrac{1}{50}\times 500[/tex]
= [tex]10[/tex] Jackets
Time taken by 1 jacket = 2 hours
Time taken by 10 jacket = 20 hours
Therefore, it will take 20 hours to use 500 kilograms of wool for the jackets.
Answer:
20 hours
Step-by-step explanation:
1 jacket=50kg wool
1 jacket= 2hrs
500kg available/50kg per jacket= 10 jackets
10 jackets x 2hrs per jacket=20hrs
The box plots represent weights of tomatoes harvested by two growers. Based on the graph, which is true?
A. Grower A was more likely than grower B to have tomatoes weighing 5 or more ounces.
B. All grower A tomatoes were lighter than all grower B tomatoes.
C. Grower B was more likely than grower A to have tomatoes weighing 4.5 or more ounces.
D. Grower B tomatoes were more likely to weigh less than 5 ounces than they were to weigh more than 5 ounces.
Answer:
b
Step-by-step explanation:
sorry if i am wrong
Answer:
The answer is D
Step-by-step explanation:
grower b has more of a lower pecentage of tomatoes under 5 so that would be the correct answer
Which set of side lengths form a right triangle?
7 cm. 8 cm. 10 cm
3 it ott 5th
10 in 41 in 40 in.
15 m 20 m 25 m
Answer:
15m 20m 25m
Step-by-step explanation:
15^2+20^2=25^2
the others do not
I Will give brainliest!! On a piece of paper graph -- Then determian which answer choice matches the graph you drew
Answer:
i dont know sry for the bother
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
that's the only graph that actually matches the coordinates
Tasha is packing gift bags that include the same items. she has 72 glow sticks, 36 markers, and 24 bottles of bubbles. Tasha believes that she can pack no more than 6 bags using all of her supplies.
Answer:
22
Step-by-step explanation:
Answer:
This is not true. If Tasha has her supplies as multiples of twelve, She can make twelve bags in total.
24 ÷ 12 = 2
36 ÷ 12 = 3
72 ÷ 12 = 6
As all are evenly divided by twelve, indicating she is able to make twelve bags in total.
Help help help me please
Answer:
it's 72
Step-by-step explanation:
length x height x base
6x3x4
6x3= 18
18x4=72
Find x
I'm struggling plz help
Step-by-step explanation:
the right side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
the left side of the diagram
9^2 + x^2 = 24^2
81 + x^2 = 576
x^2 = 576 + 81
x^2 = 657
x=√657
Write an equation of the line that passes through the points (-6, -8) and (2, -8).
Y=
Answer:
I wanna say 8 if its.
y=8x+-8
If thats wrong im sorry
Answer:
8
Step-by-step explanation:
HIJK is a triangle based pyramid. The base HIJ is an equilateral triangle with side 10cm. The volume of the pyramid is 300cm^3. Calculate the perpendicular height, h, of the pyramid.
Answer:
20.78 cm^3 to the nearest hundredth.
Step-by-step explanation:
Volume = 1/3 * a * h where a = area of triangular base and h = the height.
The area of the triangle
= 1/2 * base * height
Its height = √(10^2-5^2)
= √75.
So its area = 1/2 * 10 * √75
= 5√75
So for the pyramid we have:
300 = 1/3 * 5√75 * h
h = 300 / (1/3 * 5√75)
= 20.78 cm^3.
Choose the correct simplification of the expression a2 ⋅ a3.
Answer:
a^5
Step-by-step explanation:
( thats a to the 5th power. )
Answer:
a5
Step-by-step explanation:
Can somebody plz help answer these questions correclty (Like what the letters equal) thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Answer:
20. multiply both sides by 4, x= 24
21. multiply both sides by 7, y=21
22.multiply both sides by 5, z=20
23. multiply both sides by 6, p=12
24. multiply both sides by 2, r=8
Step-by-step explanation:
you want to get the variable alone (x,p,y, etc).
so if you are dividing the variable by a number you want to take the denomentator and multiply it by itself and then you have to multiply the same number to the number on the other side of the equation.
What is 200 rounded to 1 decimal place
what is angle a and c if b is 63 degrees? You will get 100 points for answering please help
Answer:
Angle A measures 76°
Step-by-step explanation:
The three interior angles of a triangle will always equal 180. Therefore:
[tex](63)+(x+7)+(2x+8)=180[/tex]
Solve for x. Add and combine like terms:
[tex]78+3x=180[/tex]
Subtract 78 from both sides:
[tex]3x=102[/tex]
Divide both sides by 3. So, the value of x is:
[tex]x=34[/tex]
Angle A is given by:
[tex]m\angle A=2x+8[/tex]
Since we know that x = 38:
[tex]m\angle A=2(34)+8=76[/tex]
Angle A measures 76°
374 students said that they played sports. 58% said that they played basketball. How many students played basketball?
Answer:
A
Step-by-step explanation:
You are told that you will have to wait 5 hours in a line with a group of other people. Can you determine the number of people waiting in the line?
Answer:
No
Step-by-step explanation:
We don't know how many thier people there are and we don't know how long until a person gets through
which inequality is true when x=2.5
Answer:
should be C
Step-by-step explanation:
Does any one know how to do 2r+4<8 it’s aggravating me
Answer:
Step-by-step explanation:
2r+4<8
subtract 4 from both sides
2r<4
divide by two
no need to reverse the sign since you are not dividing by a negative number
r<2
Solve the given system of equations by Elimination.
x + y = 6
3x - y = 14
Answer:
Step-by-step explanation:
What is the domain of the relation
Answer:
its the second one
Step-by-step explanation:
1. starting point of the domain ( x-axis ) is 0
2.ending is at 3
6. The scatter plot shows the median household income, x, in thousands of dollars, and
the number of adults per 1,000 people with bachelor's degrees, y, of 50 U.S. states.
The line y = 4.08x + 63.13 is a good fit for this data.
The line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.
Given that a scatter plot of median household income x and the number of adults per 1,000 people with bachelor's degrees y for 50 U.S. states. The line y = 4.08x + 63.13 is suggested to be a good fit for this data.
To understand why this line is a good fit, to consider its equation. In this case, y represents the number of adults per 1,000 people with bachelor's degrees, and x represents the median household income in thousands of dollars.
The equation of the line is y = 4.08x + 63.13. This means that for every increase of $1,000 in median household income, the number of adults with bachelor's degrees increases by 4.08 per 1,000 people. The intercept of the line is 63.13, which represents the number of adults with bachelor's degrees when the median household income is $0.
By analyzing the scatter plot, we can see that the points are roughly linear and show a positive correlation between median household income and the number of adults with bachelor's degrees. The line represents the best fit for this data because it minimizes the distance between the line and the points on the scatter plot.
Hence, the line y = 4.08x + 63.13 is a good fit for this data because it accurately represents the positive relationship between median household income and the number of adults with bachelor's degrees in the 50 U.S. states.
Learn more about Line here:
https://brainly.com/question/30003330
#SPJ4
Factor using the GCF: 6x + 15
Answer:
3(2x + 5)
Step-by-step explanation:
What numbers go into both 6 and 15? What number is the largest of those numbers? The answer to both questions is 3, therefore we factor out the 3 using the distributive property
Answer:
It is 3(2x+5)
Step-by-step explanation:
Hope you get it right
what is a 5a − 8 = 8 + a
Answer:
a=4
Step-by-step explanation:
5a-8=8+a
4a-8=8
4a=16
a=4
I think of a number. I multiply it by 2 and my answer is 24. What was my number?
Need help trying to solve
Answer:
12
Step-by-step explanation:
Brainliest plz trying to level uppls help me for brainless
and 60points
Answer:
2nd
Step-by-step explanation:
Answer:
the orange one
Step-by-step explanation:
3x^2+x-2
3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.
PLZ help me!! I will give 28 Points
Answer:
2
Step-by-step explanation:
base is 2 times larger
Answer:
2
Step-by-step explanation:
Hope this helps please tell me if anything is wrong!!
y = 2x - 10
2y = x - 8
Which variable should an expression be substituted for?
Answer:
The variable h
Step-by-step explanation:
Here, we want to get the variable that an expression should be substituted for
The correct answer is the variable y
we substitute the value we have for y in the first equation for the y value in the second equation
find the value of X and Y
Answer:
x = 11, y = 56
Step-by-step explanation:
Indicate the answer choice that best completes the statement or answers the question.
PRODUCTION A manufacturer produces 950 light bulbs per day.
Days, d
1
2
3
4
Bulbs, b
950
1,900
2,850
3,800
Use the equation to determine how many bulbs the manufacturer will make in 25 days.
Oa 23,750 bulbs
Ob. 38 bulbs
Oc. 24,700 bulbs
O d. 975 bulbs
Answer:
a - 23,750 bulbs
Step-by-step explanation:
950 x 25 = 23,750
What is the perimeter of the triangle?
Please help ASAP!
Answer:
35 units
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
you just add together the lengths of each of its 3 sides
the length of hypotenuse, I found using theorem of pythagoras
complete the square to form a perfect square trinomial.
Answer:
4
Step-by-step explanation: