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.
How many area codes (ABC) would be possible if all three digits could be any value 3-9
Answer:
Step-by-step explanation:
Can you explain what a stem and leaf plot is?
Answer:
A stem and leaf plot, or stem plot, is a technique used to classify either discrete or continuous variables. A stem and leaf plot is used to organize data as they are collected. ... Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit
hope it helped!
Which expression has a value that is 6 times the value of the expression 63 - 3y?
ОА. 6x 63 – Зу
O B. 63 – 3y = 6
Ос. 63 = (6 x Зу)
OD. 6 X (63 – 3y)
2x-3y=-1
y=x-1
solve. systems of equations
Answer:
x=4
y=3
Step-by-step explanation:
The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie
Answer:
[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]
Step-by-step explanation:
The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.
[tex]a= \pi r^2[/tex]
The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.
r= 9 yd π= 3.14Substitute these values into the formula.
[tex]a= (3.14)(9 \ yd)^2[/tex]
Solve the exponent.
(9 yd)² = 9 yd * 9 yd = 81 yd²[tex]a= (3.14)(81 \ yd^2)[/tex]
Multiply.
[tex]a= 254.34 \ yd^2[/tex]
The area of the center circle on the soccer field is 254.34 square yards.
If f(x) =2x - 3, find the following
1. f(-2)
2. f(7)
3. f(-4)
Answer:
1. f(-2) = -7
2.f(7) = 11
3. f(-4) = -11
Step-by-step explanation:
1. substitute x = -2 in f(x)
The function becomes :
f(-2) = 2×(-2) - 3 = -7
2. substitute x = 7 in f(x)
the function becomes:
f(7)= 2×7 - 3 = 11
JT has two jobs. He mows yards and washes cars in his neighborhood. Let X represent the amount of weekly
earnings for mowing yards, and let y represent the amount of weekly earnings for washing cars. The mean of X is
$60, and the mean of Y is $35. Which answer choice correctly calculates and interprets the mean of the sum, S= X
+ Y?
Ps = 47.5; next week, JT will earn $47.5.
Hs = 47.5; JT can expect to earn $47.5, on average, in a typical week.
Hs = 95; next week, JT will earn $95.
Ps = 95: JT can expect to earn $95, on average, in a typical week.
Answer is D) 95; JT can expect blah blahh
Rachael made 4 pounds of potato salad. How many ounces of potato salad did Rachael make?
Answer:
i think the answer is 64 ounces
is 9.407 a rational number?
Answer:
Yes, sure!
Step-by-step explanation:
I said ''Yes, sure.'' Because We number 9.407 is a decimal number, and decimals are always rational numbers.
9.407= 9407/1000
Answer
yes
Step-by-step explanation:
all numbers that have decimal places and are fractions are rational
please mark me the Brainiest
Determine a series of transformation that would map figure h onto Figure I
Answer:
isnt it figure h???
Step-by-step explanation:
Answer:
A translation right 8 units followed by a reflection over the x-axis
Step-by-step explanation:
Please help its due today will give 15+ points and make brainlyiest
absolute value of -3
hope it helped
The arithmetic sequence a; is defined by the formula: a1=4 +3(i-1)
Answer:
the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence. 1.
round decimal to the nearest whole number.
12.1
Answer:
12
Step-by-step explanation:
12.1 to the nearest whole number is 12.
Answer:
12
Step-by-step explanation:
12.1 there is no number behind the one, therefore it becomes 12
Ali has 126 marbles. He has 3 times as many marbles as ravi. Janice has 20 marbles more than ravi.
a) How many marbles does janice have?
b) How many marbles do they have altogether?
Answer:
a) 62
Step-by-step explanation:
126=(Ali)
126÷3=42(ravi)
42+20=62(janice)
b) 126+42+62= 230marbles
A 16-ft steel beam is to be cut into two pieces so
that one piece is 1 foot longer than twice the other.
Find the length of each piece.
Answer:
8.5 feet and 7.5 feet.
Step-by-step explanation:
Hope this helps :)
Will give brainly est
Find the difference. Enter your answer in simplest form.
3 1/3 minus 2 5/12 The First 3 and the first two are whole numbers btw
options
1 4/9 A
11/12 B
7/12 C
1 1/2 D
[tex]\\ \sf\longmapsto 3\dfrac{1}{3}-2\dfrac{5}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{10}{3}-\dfrac{29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{40-29}{12}[/tex]
[tex]\\ \sf\longmapsto \dfrac{11}{12}[/tex]
if the cost price of 10 tables is equal to the selling price of 16 tables , find out the gain or loss percentage
Hi,
To solve this problem, Let us take the LCM of 10 and 16 which will come 80.
Now suppose the cost price of 10 tables =₹n CP of 80 tables will be ₹ 8n
According to the question, CP of 10 tables is equal to the SP of 16 tables, then
the SP of 16 tables will also be ₹ n.
So, SP of 80 tables will be ₹ 5n
So, Loss = CP-SP
→ 8n - 5n = ₹ 3n
Loss%= (3n×100)/8n
Loss%= 37.5%.
Hence the correct answer will be a loss of 37.5%.
Which of the following is equivalent to?
Answer:
[tex]5 \sqrt{ {13}^{3} } = {13}^{ \frac{3}{5} } [/tex]
What is a 15 of the sequence –7,2, 11, ...?
We can see: Everytime, the new number is the sum of the number behind it with 9.
So the 15th will total add: 9 x 14 = 126
Start from number -7 so the 15th number is : 126 -7 = 119
SO: B.119 is the answer
NL: Sorry my english was bad
Answer:
119
Step-by-step explanation:
We need to find the 15th term in the sequence. The pattern is that each term increases by 9.
We can then count to the 15th term
-7 + 14*9 = 119
Therefore, the 15th term is equal to 119, or answer B.
Find the slope of the line through each pair of points.
(2,-9),(-1,4)
[tex]\\ \rm\hookrightarrow Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{4-9}{-1-2}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-5}{-3}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{5}{3}[/tex]
Answer:
-13/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
4-(-9)/-1-2
13/-3
-13/3
Best of Luck!
Create a function that generates for any value x the corresponding value y when
y= 17x^2+ 14x +9
Required:
What is the value y when x =12?
Answer:
Step-by-step explanation:
KBL Ltd. entered into an agreement to lease a vehicle from Morgan Ltd.: Cash price of the vehicle Kshs 20.000 Lease payments: 5 instalments of Kshs 5.142 paid in arrears Required: How much of this finance charge will appear in each year's profit and loss expense in the lessee's books using the actuarial method? (10 Marks)
Finance charge is the amount it costs of borrowing money
The finance charge that will appear in each year's profit and loss expense in the lessee's books are;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
The total financial charge = 5 × 5.142 - 20.000 = 5.71
The annual percentage rate, APR, of an instalment payment is given as follows;
[tex]\dfrac{(1 - (1 + r)^{-5}}{r} \times 5.142 = 20.000[/tex]
Solving using a graphing calculator gives;
r = APR ≈ 0.09 = 9%
The calculation for charges each year is as follows:
Payment interest for the first instalment = 20 × 9% = 1.8
The principal of the first payment = 5.142 - 1.8 = 3.342
The loan balance = 20 - 3.342 = 16.658
Payment interest for the second instalment = 16.658 × 9% = 1.49922
Second payment principal = 5.142 - 1.49922 = 3.64278
Loan balance = 16.658 - 3.64278 = 13.01522
Payment interest for the third instalment = 13.01522 × 9% = 1.1713698
Third payment principal = 5.142 - 1.1713698 = 3.9706302
Loan balance = 13.01522 - 3.9706302 = 9.0445898
Interest for the fourth payment = 9.0445898 × 9% = 0.814013082
Fourth payment principal = 5.142 - 0.814013082 ≈ 4.327986918
Loan balance = 9.0445898 - 4.327986918 = 4.716602882
Fifth payment interest = 4.716602882 × 9% = 0.42449425938
Fifth payment principal = 5.142 - 0.42449425938 ≈ 4.718
Therefore, we have;
[tex]\begin{array}{|c|cc|}\mathbf{Year}&&\mathbf{Finance \ Charge \ (Kshs)}\\&&\\First&&1.8\\&&\\Second&&1.499\\&&\\Third&&1.171\\&&\\Fourth&&0.814\\&&\\Fifth&&0.424\end{array}\right][/tex]
Learn more about the actuarial method here:
https://brainly.com/question/15504405
How do you solve by undoing for 4-2x-x=12 in Algebra 1
Hi ;-)
[tex]4-2x-x=12\\\\-2x-x=12-4\\\\-3x=8 \ \ /:(-3)\\\\x=-\frac{8}{3}=-2\frac{1}{3}[/tex]
Jungwon has $15. Notepads cost $2.50 each. How many notepads can Jungwon buy?
what percentage is 10 in 24?
Answer:
41.67
Step-by-step explanation:
10: 24×100 =
(10×100): 24 =
1000: 24 = 41.67
what is the equation of the function y= 3/x translated 2 units to the left and seven units up
Answer:
y = (3/x + 2) + 7
Step-by-step explanation:
The additive inside the parenthesis moves the function to the left (adding moves left, subtracting moves right) and the additive outside moves the function up (adding moves up, subtracting moves down).
A kite is inscribed in a rectangle. Everything outside of the kite is shaded. The points of the kite split the lengths of the rectangle into a length of 3x and x. The points of the kite split the height of the rectangle into lengths of x and x. The total length of the rectangle is 4 x and the height is 2 x.
The figure shows a kite inside a rectangle. Which expression represents the area of the shaded region?
2x2
4x2
6x2
8x2
Answer:
B
Step-by-step explanation:
you can make picture into to shapes. a rectangle and a square. the square would be x2 and the rectangle would be 3x2. just add them together while your answer would be 4x2. doing this assignment right now so best of luck.
Answer:
b
Step-by-step explanation:
i just did the test
Thx god bless stay safe
Answer and Step-by-step explanation:
The answer is qualitive because the phrase is describing outside to being cold.
#teamtrees #PAW (Plant And Water)
what does the answer on her sceen mean?
Answer:
Ahhh!! am not seeing the answer on the sceen.
Please help! I don’t know the answer to this.
Answer:
as we can see b and are reflections as ther are same