What is the expected value of X?


X 3 4 5 7 9
P 0.2 0.1 0.25 0.05 0.4

6.2
6.05
5.95
5.6

Answers

Answer 1

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2


Related Questions

Will give BRAINLIEST

Answers

Answer:

Quadrant 4

Step-by-step explanation:

Answer:

3rd quadrant

Step-by-step explanation:

it has the pentagon

HURRRYYY PLEASEEEE ANSWERRRR

Answers

Answer:

27*10⁵ is basically 270000.

Write the equation of the line that passes through the points (-7,7) and (-6,-5)

Answers

Answer:

y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

Geet sells televisions. He earns a fixed amount for each television and an additional $25 if the buyer gets an extended warranty. If Geet sells 19 televisions with extended warranties, he earns $1,425. How much is the fixed amount Geet earns for each television?

Answers

Answer:

50 dollars.

Step-by-step explanation:

19 x 25= 475

1,425 - 475= 950

950 divided by 19 is 50.

$50 per t.v.

25x19=475

1425-475=950

950/19=50

The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature of the water after 15 minutes?

Answers

Answer:

The temperature of the liquid 15 minutes later is [tex]151.5[/tex]

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

[tex]a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5[/tex]

Question 1(Multiple Choice Worth 2 points)
Convert 0.00001 to a power of 10.

104
10−4
105
10−5

Answers

Answer:

Hello! Your answer here is 10−5.

Step-by-step explanation:

To convert 0.00001 to a power of 10, we use scientific notation. Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

In this problem, the given decimal number is 0.00001. We must move the decimal 5 places to the right, which gives us 1.0.

Then, we multiply 1.0 by 10 raised to the negative of the number of places we have moved the decimal point - so we multiply 1.0 by 10−5, which gives us our answer:

10−5

There are 120 people in a sport centre.
78 people use the gym.
46 people use the swimming pool.
45 people use the track.
21 people use the gym and the pool.
16 people use the pool and the track.
24 people use the gym and the track.
9 people use all three facilities.
Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

62%

Step-by-step explanation:

120-46=74

74/120 don't use

simplify 37/60

to percent; 62%

I NEED HELP
Find the value

Answers

Answer:

7 and 2?

Step-by-step explanation:

i think because f(2) : f(x)= 5+2x = 7

Divide. Write the answer in simplest form. 14/27÷7=

Answers

Answer:

[tex]\frac{2}{27}[/tex]

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

Answer:

2/27

Step-by-step explanation:

14/27÷7

Convert The element to fraction: 7=7/1

=14/27 ÷ 7/1

Apply the fraction rule:

=14/27 x 1/7

Cross- cancel common factor: 7

2/27

whats the equation? for the problem

Answers

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

(-5) - (+2) + (+2) - (-5)​

Answers

Answer:

the answer will zero for sure

Answer:

0

Step-by-step explanation:

-+ = --- = ++- = -++ = +

-5-2+2+5 = 0

bobby and his brother had 3/4 of a pizza leftover after dinner.their father came home and ate 1/2 of the leftover pizza.how much pizza did their father eat

Answers

The answer is 3/8 that he ate

Tell whether the ordered pair is a solution to the equation. Please show how you solved it.


(4, 4); y = -x + 8

Answers

Answer:

The ordered pair is a solution to the equation

Step-by-step explanation:

Plug the ordered pair into the equation as (x,y):

y = -x + 8

4 = -4 + 8

4 = 4

Since both sides are equal to each other, then the ordered pair is a solution to the equation.

Yes, it is a solution to the equation.

Plug in the values 4, for y, and 4, for x. Since there is a negative sign next to x, it turns 4 into -4. So, the equation will look like this: 4 = -4 + 8, add 8 to -4, and you get 4. 4 = 4. 4 = 4 is a true statement, so the pair IS a solution to the equation. Hope this helps!

3x^3-4x^2-28x-16 divided by 3x+2

Answers

Answer: x^2 - 2x - 8

A recent study revealed the typical American coffee drinker consumes an average of 3.1 cups per day. A sample of 12 senior citizens revealed they consumed the following amounts of coffee, reported in cups, yesterday.
3.1, 3.3 ,3.5 ,2.6, 2.6, 4.3, 4.4 ,3.8 ,3.1 ,4.1 ,3.1, 3.2
(a) State the null hypothesis and the alternate hypothesis. (Round your answers to 1 decimal place.)
(b) State the decision rule for 0.05 significance level. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)
(c) Compute the value of the test statistic. (Round your answer to 3 decimal places.)
(d) Do these sample data suggest there is a difference between the national average and the sample mean of the senior citizens?

Answers

Using the t-distribution, it is found that:

a)

The null hypothesis is [tex]H_0: \mu = 3.1[/tex]

The alternative hypothesis is [tex]H_1: \mu \neq 3.1[/tex]

b)

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

c) t = 1.853

d) Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

Item a:

At the null hypothesis, it is tested if the estimate of 3.1 cups per day is correct, that is:

[tex]H_0: \mu = 3.1[/tex]

At the alternative hypothesis, it is tested if the estimate is not correct, that is:

[tex]H_1: \mu \neq 3.1[/tex]

Item b:

This is a two-tailed test, as we are testing if the mean is different of a value, with 12 - 1 = 11 df and a significance level of 0.05,  hence, the critical value is [tex]t^{\ast} = 2.2[/tex].

Then, the decision rule is:

|t| < 2.201: Do not reject the null hypothesis.|t| > 2.201: Reject the null hypothesis.

Item c:

We can find the standard deviation for the sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. s is the standard deviation of the sample. n is the sample size.

The values of the parameters, with the help of a calculator for the sample mean and standard deviation, are given by: [tex]\overline{x} = 3.425, \mu = 3.1, s = 0.6077, n = 12[/tex]

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{3.425 - 3.1}{\frac{0.6077}{\sqrt{12}}}[/tex]

[tex]t = 1.853[/tex]

Item d:

Since |t| = 1.853 < 2.2, we do not reject the null hypothesis, that is, the sample data does not suggest that there is a difference between the national average and the sample mean of the senior citizens.

A similar problem is given at https://brainly.com/question/24826023

Can someone solve this?

Answers

Of course :)
I hope you’re allowed to use decimals
First blank: -1.4
Second blank: .8
Merry Christmas and happy holidays :)

Solve for x.
z=(x-8)k

Answers

Answer:

z/k + 8 = x

Step-by-step explanation:

z=(x-8)k

Divide both sides by k

z/k = x - 8

Add 8 to both sides

z/k + 8 = x

Pls help on #7 I will give brainiest ! 7th grade level

Answers

Answer:

50

Step-by-step explanation:

To solve this problem you multiply 6 by 100 and then divide the total by 12 as follows: (6 x 100) / 12

8. What is the linear term in the quotient of 8x" - 6x + 9x - 5x + 12 divided by 2x + 3x + 5?

Answers

Answer:

Step-by-step explanation:

Find the solution(s) of the system of equations:
y = –x2 + 4x + 5
y = x2 + 2x + 1

a. (–1,2) and (2,17)
b. (1,0) and (–2,9)
c. (1,4) and (2,9)
d. (–1,0) and (2,9)

Answers

The correct solution is D or (-1,0) and (2,9).

The easiest way to find the solutions is to graph the equations then observe the coordinate intersections of each graph :)

The solution to the equation are (2, 9) and (-1, 0)

Given the functions as shown below:

y = –x2 + 4x + 5 y = x2 + 2x + 1

Equating both equations will give;

–x^2 + 4x + 5 = x^2 + 2x + 1

Collect the like terms to have:

–x^2 + 4x + 5 –x^2 - 2x - 1 = 0

-2x^2 + 2x + 4= 0\

2x^2 - 2x - 4  = 0

x^2 - x - 2 =0

Factorize to have:

x^2 - x - 2 =0

x^2 - 2x + x - 2 = 0

x(x-2)+1(x-2) = 0

x = 2 and -1

If x = 2

y = 2^2 + 2(2) + 1

y = 9

If x  = -1

y = (-1)^2 + 2(-1) + 1

y = 1 - 2 + 1

y = 0

Hence the solution to the equation are (2, 9) and (-1, 0)

Learn more on equations here: https://brainly.com/question/16863577

Algebra problem is in the picture attached. PLEASE HELP!

Answers

Answer:

Step-by-step explanation:

h(x)=3x−3, find h(3)h(3)

Answers

h(x)=3x−3, find h(3)

h(3)= 3(3)−3

= 9-3

= 6

Under his cell phone plan, Nathaniel pays a flat cost of $41 per month and $4 per gigabyte. He wants to keep his bill at $45.80 per month. Write and solve an equation which can be used to determine 2, the number of gigabytes of data Nathaniel can use while staying within his budget.

Answers

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ3

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.62 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are no more than 1.82? Please do not round your answer.

Answers

Answer:

The percentage of the students who have grade point averages that are no more than 1.82 is 2.5%

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the distribution are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.

Given that:

Mean (μ) = 2.62, Standard deviation (σ) = 0.4

68% are within one standard deviation = μ ± σ = 2.62 ± 0.4 = (2.22, 3.02)

95% are within two standard deviations = μ ± 2σ = 2.62 ± 2(0.4) = (1.82, 3.42)

The percentage of the students have grade point averages that are no more than 1.82 is 100% - [95% + (100% - 95%)/2] = 100% - 97.5% = 2.5%

Describe fully the single transformation which takes shape A to shape B

Answers

Answer:

Translation down by 1 then reflection over Y axis.

Step-by-step explanation:

How many solutions does -2(t-4)=10-2t

Answers

Answer:

No Solutions

Step-by-step explanation:

Let's find out.

-2(t-4)=10-2t

-2t+8=10-2t

-2t=2-2t

0=2

Hope this helps :)

An ant looks up at an angle of elevation of 30degrees to the top of a tree. If the ant is 40 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
a.
23.1 feet
b.
25.2 feet
c.
32.8 feet
d.
34.6 feet

Answers

Anaswer Let the height of the tree be  

y

ft. By condition;  

tan

38

=

y

43

or

y

=

43

tan

38

or

y

=

33.6

ft [Ans]

Step-by-step explanation:

Answer:

Step-by-step explanation:

The CORRECT answer is

C. 32.8 feet Got it correct

Two weeks ago,a bookstore sold 120 books Last,week,it sold 138 books.find the percent of increase in sales?

Answers

The Formula for this is x2-x1/x1.
It would be a 15% increase.

Answer:

15%

Step-by-step explanation:

[tex]\frac{138}{120}[/tex]×100=

1.15

115%

Increase in 15%

1cm
1
6 cm
Diagram NOT
accurately drawn
Scm
11 cm
9 cm
| 6cm
18 cm
The diagram shows a shape.
All of its corners are right angles.
Work out the area of the shape.

Answers

Answer:

110cm²

Step-by-step explanation:

*Diagram is ALSO not accurately drawn

18cm-6cm-5cm=7cm

11cm-9cm=2cm

Area:

11cm×6cm=66cm²

7cm×2cm=14cm²

6cm×5cm=30cm²

Area of the shape:

66cm²+14cm²+30cm²=110cm²

if there is 26.5 g of sugar in 250ml, how much in 200 ml

Answers

There are exactly 21.2 grams in the 200 milliliters of sugar. Hope this helps!
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