Find the value of x in the following figure
A) x=18
B) x=90
C) x=36
D) x=15

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]

Answer:

1. Scatter plots are used to observe relationships between variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point.

2. A Scatter Analysis is used when you need to compare two data sets against each other to see if there is a relationship. Scatter plots are a way of visualizing the relationship; by plotting the data points you get a scattering of points on a graph

Step-by-step explanation:

I am leaving the last two for someone else to have a chance to answer.

I hope my answers helped.

Answer:

Person above me is 100 percent right and they explained it well.

Step-by-step explanation:

Please give them the Brainliest

Answer: 4

Step-by-step explanation:

Answer:

pendiente = -2, y intersection = -1

Step-by-step explanation:

la pendiente es -2 y origen de la y es -1.

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.”

Answer:

Step-by-step explanation:

Answer:

80 is a multiple for all of those

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

Answer:

dont we all

Step-by-step explanation:

did u figure it out by now? comment down

Step-by-step explanation:

Answer:

V = 32

Step-by-step explanation:

V = b^2(h)

V= (4)^2 (2)

V = 32

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.

Answer:

x^2+9x+20

Step-by-step explanation:

(x + 4) × (x + 5)

x^2+9x+20

Answer:

this is the answer to your question x=73/4; 4/73=1/x

Answer:

(0,3)

(1,7)

(2,11)

(5,23)

(10,43)

Step-by-step explanation:

The line with this slope-intercept form crosses through these points.

Hope it helps!

Answer: ayo bailcop i got you hit em with a 45

Step-by-step explanation:

Answer:

b) 11.75

Step-by-step explanation:

each quarter is equal to .25 so 3×.25 is .75

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.

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.

Learn more about linear equation;

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Answer:

Personaly i would say kirby. but zelda is better than any other game series

Step-by-step explanation:

My Answer: B O T H .

Reason:

They're both my childhood

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

Answer:

10 + m = 15

Step-by-step explanation:

m = 5

Answer:

Step-by-step explanation:

[tex]\sin15^o=\frac{2.5}{r}\\ \\ r=\frac{2.5}{\sin15^o\\ \\ r\approx 9.66ft[/tex]

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

Answer:

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

Step-by-step explanation:

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.

In this question:

Event A: Test positive

Event B: Has the disease

Probability of a positive test:

90% of 3%(has the disease).

1 - 0.9 = 0.1 = 10% of 97%(does not have the disease). So

[tex]P(A) = 0.90*0.03 + 0.1*0.97 = 0.124[/tex]

Intersection of A and B:

Positive test and has the disease, so 90% of 3%

[tex]P(A \cap B) = 0.9*0.03 = 0.027[/tex]

What is the conditional probability that she does, in fact, have the disease

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.027}{0.124} = 0.2177[/tex]

0.2177 = 21.77% conditional probability that she does, in fact, have the disease

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)

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)

To learn more on Graph click:

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Answer:

9..........................................................

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

Do it in my head.

59 +60 = 119

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!

Answer:

59 plain donuts

Step-by-step explanation:

17 chocolate+23 maple=40 in total

89-40=59

59 plain donuts

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