Answer:
I can't understand
Step-by-step explanation:
pls translate to english
Let X be a random variable with probability mass function P(X = 1) = 1 2 , P(X = 2) = 1 3 , P(X = 5) = 1 6 (a) Find a function g such that E[g(X)] = 1 3 ln(2) + 1 6 ln(5). Your answer should give at least the values g(k) for all possible values k of X, but you can also specify g on a larger set if possible. (b) Let t be some real numb
The question is incomplete. The complete question is :
Let X be a random variable with probability mass function
P(X =1) =1/2, P(X=2)=1/3, P(X=5)=1/6
(a) Find a function g such that E[g(X)]=1/3 ln(2) + 1/6 ln(5). You answer should give at least the values g(k) for all possible values of k of X, but you can also specify g on a larger set if possible.
(b) Let t be some real number. Find a function g such that E[g(X)] =1/2 e^t + 2/3 e^(2t) + 5/6 e^(5t)
Solution :
Given :
[tex]$P(X=1)=\frac{1}{2}, P(X=2)=\frac{1}{3}, P(X=5)=\frac{1}{6}$[/tex]
a). We know :
[tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
So, [tex]$g(1).P(X=1) + g(2).P(X=2)+g(5).P(X=5) = \frac{1}{3} \ln (2) + \frac{1}{6} \ln(5)$[/tex]
[tex]$g(1).\frac{1}{2} + g(2).\frac{1}{3}+g(5).\frac{1}{6} = \frac{1}{3} \ln (2) + \frac{1}{6} \ln (5)$[/tex]
Therefore comparing both the sides,
[tex]$g(2) = \ln (2), g(5) = \ln(5), g(1) = 0 = \ln(1)$[/tex]
[tex]$g(X) = \ln(x)$[/tex]
Also, [tex]$g(1) =\ln(1)=0, g(2)= \ln(2) = 0.6931, g(5) = \ln(5) = 1.6094$[/tex]
b).
We known that [tex]$E[g(x)] = \sum g(x)p(x)$[/tex]
∴ [tex]$g(1).P(X=1) +g(2).P(X=2)+g(5).P(X=5) = \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$[/tex]
[tex]$g(1).\frac{1}{2} +g(2).\frac{1}{3}+g(5).\frac{1}{6 }= \frac{1}{2}e^t+ \frac{2}{3}e^{2t}+ \frac{5}{6}e^{5t}$$[/tex]
Therefore on comparing, we get
[tex]$g(1)=e^t, g(2)=2e^{2t}, g(5)=5e^{5t}$[/tex]
∴ [tex]$g(X) = xe^{tx}$[/tex]
39.76 divided by 2.8
Answer:
14.2
Step-by-step explanation:
39.76 divided by 2.8 is equal to 14.200. Write the division expression: 39.76 ÷ 2.8
Step 1: Perform long division or use a calculator.
When performing the division, you'll get:
14.200
2.8| 39.76
First, you determine how many times 2.8 can be divided into 39.76 without exceeding it. The answer is 14.200, meaning that 2.8 goes into 39.76 approximately 14.200 times.
Step 2: Round the result (if necessary).
If you need to round the result to a certain number of decimal places, in this case, we rounded it to three decimal places:
39.76 ÷ 2.8 ≈ 14.200
So, the result of dividing 39.76 by 2.8 is approximately 14.200.
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Complete question is:
Solve: 39.76 divided by 2.8
I need help really really bad
Answer:
dont we all
Step-by-step explanation:
did u figure it out by now? comment down
Step-by-step explanation:
valor de la pendiente y de la ordenada al origen de y = −2x − 1
Answer:
pendiente = -2, y intersection = -1
Step-by-step explanation:
la pendiente es -2 y origen de la y es -1.
Compare 3/5 to 4/9. Is it equal, greater than or less than?
Answer:
3/4 > 4/9Step-by-step explanation:
because 3/5 = 0.64/9 = 0.440.6 > 0.44MARK ME AS BRAINLISTQuadrilateral ABCD with vertices A(-4, 1), B(-2, 3),C(0, -2), and D(-5, -2): k = 3
Answer:
A(-12,3)
B(-6,9)
C(0,-6)
D(-15,-6)
Step-by-step explanation:
So this is called dilations and i'm fairly new at it but how it works is you multiply the starting points by what k equals so that's how you get the answer.
can someone please help me with this (due today)
For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
[tex]D = C_{6,2}*C_{9,1} = 135[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
The bakery made 89 donut. Seventeen were chocolate, 23 were maple, and the rest were plaint glazed. How many plain donuts did the bakery make ?
Answer:
59 plain donuts
Step-by-step explanation:
17 chocolate+23 maple=40 in total
89-40=59
59 plain donuts
An electrician is told to cut a piece of conduit to 11 and 3/4”. What would the decimal equivalent be?
A) 11.50
B) 11.75
C)11.25
D)11
Answer:
b) 11.75
Step-by-step explanation:
each quarter is equal to .25 so 3×.25 is .75
If 30 ounces of cereal costs $2.49, what is the cost per
ounce?
Answer:
the answer .08
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
2.49 divided by 30 gives you 0.08 so it's 8 cents per ounce
Choose the equation that has m=5 as the solution.
Answer:
10 + m = 15
Step-by-step explanation:
m = 5
ellen had 25 hair clips.7 of them and the rest were purple , what precent of the hair clips were blue,what percent of the hair clips were purple
Pls helppp
Answer:
7/25. then do 25-7. take that answer and divide by seven
Step-by-step explanation:
also, make sure to divide the smaller number by 25! it seems weird but it should work! fell free to use a calculator
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
Answer:
Step-by-step explanation:
- A cylindrical fish tank can hold approximately 502.40
cubic inches of water. If the height of the fish tank is
10 inches, what is the radius of the tank? Use 3.14 for
the answer, 6.86
Compare mean, median, mode, and standard deviation.
Answer:
The mean, median and mode are all estimates of where the "middle" of a set of data is. These values are useful when creating groups or bins to organize larger sets of data. The standard deviation is the average distance between the actual data and the mean.
Step-by-step explanation:
Please Mark Brainliest!
11. Which of the following sets of number is not a Pythagorean triple?
A. 9-40-41
B. 9-12-15
C. 5-12-13
D. Not Here
A ramp leading into a building makes a 15° angle with the ground. The end of the ramp is 2.5 feet above the base of the building.
Approximately, how long is the ramp?
A. 0.65 feet
B. 2.59 feet
C. 9.33 feet
D. 9.66 feet
Answer:
Step-by-step explanation:
[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]
express the area of the entire rectangle
Answer:
x^2+9x+20
Step-by-step explanation:
(x + 4) × (x + 5)
x^2+9x+20
Tyce makes $9.55 per hour and worked 28 hours last week. He also makes 15% commission on the $300 of
sales he made last week. How much did he make in total for last week?
Answer:
$312.40
Step-by-step explanation:
First, multiply his salary per hour by the hours he worked. (9.55 x 28 = 267.4)
Then, find 15% of 300. (300 / 0.15 = 45)
Now add the two numbers together!
267.4 + 45 = 312.40
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer: 6,6. 12,18. 18,6
Step-by-step explanation:
cause I got it right..
The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph has a triangle ABC.
The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)
We have to find the coordinates of triangle ABC after a dilation with scale factor 3.
Dilation is the scaling of an object, where it gets bigger or smaller
Now the coordinates after dilation are A'(6,6)
B'(12, 18)
C'(18, 6)
Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
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Sally can paint 90 ft2 of wall per hour. Write a linear function that describes how many square feet of wall she can paint over time. Then make a graph to show how many square feet she can paint over the first 4 hours.
Answer:
Hello...
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.
Hello...Sally can paint a house in 4 hours; Which means in 1 hour she can paint 1/4th of the house.John can paint the same house in 6 hours. Which means in 1 hour she can paint 1/6th of the house.Together in 1 hour they can paint: - 1/4 + 1/6 = 5/12th of the house.Total Hours for painting the house together will be 12/5 = 2.4 Hours.
hope it helps
The linear function that describes how many square feet of wall she can paint over time is y = 90x.
What are linear equations?Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.
Both linear equations with one variable and those with two variables exist.
Given the area painted by Sally in one hour = 90 square feet
so from the given data, we can find that the area painted by Sally is directly proportional to the time,
let she paint for x hours and the area she painted be y,
the equation for the condition is y = 90x,
where x is in hours and y is in square feet,
Table for the area she painted in first 4 hours
x(hours) 1 2 3 4
y ( sq. feet) 90 180 270 360
The graph for the first four hours is attached.
Hence the equation is y = 90x.
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Write the equation for the function graphed above
g(x)=
-(x+1)^2 + 3
move 3 units up, 1 unit to the left, and a reflection from x^2.
write the simplest form of the ratio 14:16:8
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEE
The perimeter of the parallelogram shown is 244 inches. The
difference between the lengths of the sides is 20 inches. Assuming 2x+3y is the longest side, find the length of each side.
A. 16 inches, 13 inches
B. 66 inches, 56 inches
C. 71 inches, 51 inches
D. 74 inches, 54 inches
Answer:
9..........................................................
Step-by-step explanation:
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
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Confidential unpublished work ©2018 by PSI Services LLC
Answer:
Number of candies with Ian = 4
Step-by-step explanation:
Let Ian has [tex]x[/tex] candies.
Number of candies with Jason = [tex]3x[/tex]
Number of candies with Shawn = [tex]4(3x)=12x[/tex]
Total number of candies = 64
So,
[tex]x+3x+12x=64\\16x=64\\x=4[/tex]
Therefore,
Number of candies with Ian = 4
The sum of two consecutive numbers is -119. Find the value of the smaller number.
Answer:
59
Step-by-step explanation:
Do it in my head.
59 +60 = 119
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
Answer: 4
Step-by-step explanation:
Three friends want to share 1/4 pound of chocolate. If they cut the chocolate into equal pieces,how much does each piece of chocolate weigh, in pounds
Answer:
I gotchu its 1/12
Step-by-step explanation:
I think the answer is 1/12 bc...
Keep change flip so
1/4÷3=?
is now...
1/4 keep
÷ is now x (division changes to multiplication)
3 is a whole number an that can turn into 3/1 which flipped is 1/3
The equation is 1/4 x 1/3
1/4 x 1/3 = 1/12
The answer is 1/12
Hope this helped :)
Posted on: 2-24-2021 at 8:37am
Positive quote of the day:
“Every day may not be good... but there's something good in every day.”
what is bigger -1/2 or -7/10
Answer:
-1/2
Step-by-step explanation:
-1/2 is -0.5
-7/10 is -0.7
-0.5 is closer to 0 which means it is greater than -0.7
biked 4 ½ miles today, and biked 6 ¾ miles. How many times further did bike compared to ’ ride? SHOW YOUR WORK.
Answer: 2 1/4
Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4