Step-by-step explanation:
The arithmetic mean of a distribution is 5. The second and the third moments about the mean are 20 and 140 respectively. What is the third moment of the distribution about 10?
Call the random variable x.
Now, define a new variable y = x - 5. Note that x - 10 = y - 5.
So, it is clear that (x-10)^3 = (y-5)^3
Also, note that (y-5)^3 can be expanded as follows:
Expand (y-5)³
Result ; y³-15 y²+75 y - 125
Letting E denote expectation with respect to the random variable x, we see that
E[(y-5)^3 ] = E(y^3) -15 E(y^2) + 75 E(y) - 125
Again, recalling that y = x - 5, have
E(y^3) = 140
E(y^2) = 20
E(y) = E(x) - 5 = 5 - 5 = 0
Thus,
E[(y-5)^3 ] = 140 -15(20) + 75(0) -125 = -285
Finally, note that
E[(y-5)^3] = E[({x-5} -5)^3] = E[(x-10)^3]
So, we get E[(x-10)^3] = -285.
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?
A.
180°
B.
270°
C.
360°
D.
540°
Answer:
C. 360°
Step-by-step explanation:
Two pairs form a complete angle with a sum of 360°.
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
Find the total amount paid on a loan when the monthly payment is $189 and the loan is paid off in 48 months. Use the formula A = MN, where A is the total amount paid, M is the monthly payment, and N is the number of payments.
Answer:
Step-by-step explanation:
M=189
N = 48
A = M*N
A = 189 * 48
A = 9072
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
Q16. If the perimeter of a rectangular house is 25 1/3 yards, and the length is 22 feet. What is the
width?
16 feet
O 35 feet
O 37 feet
0 40 feet
42 feet
Answer:
OPTION A :16 FEET
PERIMETER =26 1/3=76/3yard=76/3×3=76 feet
LENGTH=22feet
Width=76/2-22
WIDTH=38-22=16 FEET
Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
How much interest has been earned?
Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u
Step-by-step explanation:
https://www.wyzant.com/match
hi can someone help me with this problem!!
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}
Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon
Answer:
10 meters
Step-by-step explanation:
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Step-by-step explanation:
your answer
mark me a brainlistWHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)
Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)
Answer:
2n+18
Step-by-step explanation:
2xn=2n
2x9=18
2n+18
Answer:
A) 3x+4
B) Twice of sum of a number and 9.
3) What type of correlation would temperature
and ice cubes have?
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answer:
41
Step-by-step explanation:
i think i dont know that much
4. In a class of 35 students, 20 offer Physics,
18 offer Chemistry and 2 offer neither
Physics nor Chemistry
1) Illustrate the information on a Venn
diagram
il) How many students offer all the two
subjects?
1) How many students offer Physics!
1) How many students offer only one
subject
5 students offers all the two subjects.
Student that offers Physic only = 15 students
Student that offers chemistry only = 13 students
Students that offers only one subject = 28 students
How to solve a Venn diagram?Total student in the class = 35
20 offer physics.
18 offer chemistry
2 offer neither physics nor chemistry.
Therefore,
x = student that offer both subject
35 = 20 + 18 - x + 2
35 - 2 - 20 - 18 = -x
-5 = -x
x = 5
Therefore, 5 students offers all the two subjects.
Student that offers Physic only = 20 - 5 = 15
Student that offers chemistry only = 18 - 5 = 13
Students that offers only one subject = 13 + 15 = 28
learn more on Venn diagram here: https://brainly.com/question/27808502
#SPJ1
3 3/5 divided by 1/6?
Answer:
10.8
Step-by-step explanation:
3 3/5 divided by 1/6
(3(3/5))/(1/6)
(9/5)/(1/6)
54/5
10(4/5)
10.8
Is that the right answer..?
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
The Torrence family has a rectangular, in-ground pool in their yard. It holds 1700 ft of water. If it is 17 ft wide and 4 ft deep,
what is the length of the pool
9514 1404 393
Answer:
25 ft
Step-by-step explanation:
The volume is given by the formula ...
V = LWD . . . . . the product of length, width, depth
Solving for L, we have ...
L = V/(WD) = (1700 ft³)/((17 ft)(4 ft)) = 100/4 ft = 25 ft
The length of the pool is 25 ft.
write 1000 as a product using 10 as a factor
Answer:
-
Step-by-step explanation:
Answer:
The answer is right here for you!
Here it is:10x100
Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
Add -13 + 5. 8 -8 -18 18
Which answer shows three ways to write 2/3 as a ratio?
Answer:
2/3 can be wrtten in three ways
Step-by-step explanation:
1: 6/9
2. 4/6
3.20/30
Please help and please give explanation
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Find the value of x.
Answer:
x=60
Step-by-step explanation:
x=180-120
PLZ HELP WITH BOTHHHHH
Answer:
(5,2)
(6,-6)
Step-by-step explanation:
Which of the following expressions is equivalent to the expression below?please help me
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
True
False
IAI > 0
True
False
A>B
True
False
Answer:
Points A and B are represented on the number line.
А
B
-ht
-2
-1
0
1
2
Determine whether each inequality is true or false. Choose "True" or "False" for each inequality.
Statement True or False?
IAI > IBI
False
IAI > 0
False
A>B
true
PLS HELPP
6 times what =9??
[tex]6\cdot\square=9\\\\\square=9:6\\\\\square=\frac{9}{6}\rightarrow\square=\frac{3}{2} \ (\text{devide 9 and 6 by 3})[/tex]