Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?

Answers

Answer 1

Answer:

yes

Step-by-step explanation:


Related Questions

Promise Easy Points
Calculate the average monthly expenses for these individuals?

Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____

Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____

Answers

$420+$350+$432=kelsey's monthly expenses  

$700+$800=Micheal's Monthly expenses

Michael's average monthly expenses are $750.

What is the average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, Kelsey spent $350 in May, $432 in June and $420 in July.

Now, average monthly expenses are

(350+432+420)/3

= 1202/3

= 400.67

Michael spent $700 in April and May and $800 in June and July.

Here, (700×2+800×2)/4

= (1400+1600)/4

= 3000/4

= $750

Therefore, Michael's average monthly expenses are $750.

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Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field

Answers

Answer:

$44,313.75

Step-by-step explanation:

First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.

0.101 km * 1000= 101 meters

0.065 km * 1000 =  65 meters

Now we need to multiply these values together to find the area of the field

101m * 65m = 6,565[tex]m^{2}[/tex]

Finally, we need to multiply this area by the cost per square meter

6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75

The total repair will cost $44,313.75

pleaseee helpppppp helpppppp​

Answers

Given:

The given table represents the ingredient need to make 4 muffins.

To find:

The amount of flour needed to make 12 muffins.

Solution:

We have, the data for 4 muffins.

From the given table it is clear that,

Flour need for 4 muffins = 250 g

Flour need for 1 muffins = [tex]\dfrac{250}{4}[/tex] g

Flour need for 12 muffins = [tex]\dfrac{250}{4}\times 12[/tex] g

                                          = [tex]250\times 3[/tex] g

                                          = [tex]750[/tex] g

So, 750 g flour is need to make 12 muffins.

Therefore, the correct option is D.

Answer: 750

Step-by-step explanation: If The recipe for four muffins calls for 250g of flour if you multiply 250 by 3 get the answer wich is 750

--

Hope this helps

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?

a.(2 × 25) + 105

b.(105 x 2) + (25 x 2)

c.2 x (25 + 105)

d.2 x 25 × 105

Answers

Answer:

a.(2 × 25) + 105

Step-by-step explanation:

Let the number of hours spent repairing the bike = x

Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.

Therefore, our algebraic expression

= $25× x + $105

= 25x + 105

We were told in the question that He spent 2 hours repairing her bike.

Hence:

25 × 2 + 105

Therefore, the correct option is option a

a.(2 × 25) + 105

Rewrite the expression using the Distributive Property. Explain your answer or show your work.

6(x−4)

Answers

Answer:

6x - 24.

Step-by-step explanation:

Distributive Property is:

a(b + c)

= ab + ac

So  for  this expression

6(x - 4)

= 6*x + 6 * -4

= 6x - 24.

Use the following to answer questions 19-21 Breast cancer is one of the leading causes of death in women prior to age 50. A study of the effectiveness of regular breast self-examination (BSE) reported in the American Journal of Public Health found that 23 of 53 women who discovered a tumor through BSE had a tumor in an early stage. Of 178 women who discovered a tumor by accident, 48 had a tumor in an early stage. Let p1 and p2 denote the proportion of women who detected early stage tumor through BSE and by accident, and let p1 and p2 denote the corresponding estimates.

The SE of p1-p2 is:________

Answers

Answer:

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

Step-by-step explanation:

Step(i):-

The  proportion of the first sample

      [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{23}{53} = 0.43396[/tex]

The proportion of the second sample

      [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{48}{178} = 0.2696[/tex]

Step(ii):-

Standard Error of ([tex]p^{-} _{1} - p^{-} _{2}[/tex]) is determined by

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{p^{-} _{1} (1-p^{-} _{1} )}{n_{1} }+\frac{p^{-} _{2}(1-p^{-} _{2} ) }{n_{2} } }[/tex]

[tex]se(p^{-} _{1} - p^{-} _{2}) = \sqrt{\frac{0.43396) (1-0.43396 )}{53 }+\frac{0.2696(1-0.2696 ) }{178} }[/tex]

on simplification, we get

s e([tex]p^{-} _{1} - p^{-} _{2}[/tex] ) =  0.07576

       

In the number 4,532,800 what place is the 5

Answers

Answer:

One-Hundred Thousand Place value

Step-by-step explanation:

What’s the answer pls

Answers

Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
6x + 7

Answers

X is a term and 6 and 7 are coefficients
I’m not gonna make it to do you

Summarize the process of solving a two-step equation.

Answers

Answer:

Solving Two-Step Equations

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable

5/= 1.5 x 25

What is 1.5 × 25

A. 22.5

B. 37.5

c. 52.5

D. 85.5​

Answers

Answer:

37.5 is the answer

Step-by-step explanation:

all you do is just multiply the 2 numbers

How do you graph y=−x−2.

Answers

Y=-x-2 that is how you graph it
Isn’t that how you graph it? I’m confused about the question sorry!

change 12 out of 40 to a percentage ​

Answers

12/40=.3
decimal two places back
30%
12 out of 40 to a percentage would be 12 divided by 40 which gives you a percentage of 30

What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?

Answers

Answer:

The answer is y = 6x + 9.

-

Step-by-step explanation:

☆Remember: [tex]m =  \frac{y_2 - y_1}{x_2 - x_1} [/tex]

☆Slope-intercept: [tex]y = mx + b[/tex]

---

☆We need to find the slope first. So just plug in according to the slope formula!

[tex]m =  \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]

---

☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.

[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]

---

☆Now all we need to do is plug in and we are done!

[tex]y = 6x + 9[/tex]

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Mary is cutting strips of paper for a craft project. Each strip is 1/6 of a sheet of paper. Mary has 2/3 of a sheet of paper left to cut. She wants to determine how many more strips of paper she can cut from what is left.


Mary can cut ___ more strips than paper

Answers

Answer:

4 more strips

Step-by-step explanation:

Given that:

Length per strip = 1/6

Fraction of paper left = 2/3

Number of strips that can be cut from the Fraction left ;

Fraction left ÷ length per strip

2/3 ÷ 1/6

2/3 * 6/ 1

(2 * 6) / (3 * 1)

12 / 3

= 4

1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?



A2
B3
C [tex]3\sqrt{2}[/tex]
D[tex]3\sqrt{3}[/tex]
F[tex]6\sqrt{2}[/tex]

Answers

Answer:

i think it’s b

Ginger buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Ginger runs a simulation to model this using a random number generator. She
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation,
08458 47165 68194 88490 01841
43226 12924 52568 93039 39406
What is the estimated probability that Ginger will eat pizza for lunch every day
next week?
A. 0.0
B. 0.2
C. 0.4
D. 0.8

Answers

Answer:

0.2

Step-by-step explanation:

43226 and 52568

The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

What is Probability?

Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".

According to the question,

Ginger assigns digits 0 and 1 = no Pizza available and also assign digits

2,3,4,5,6,7,8 and 9 = Pizza available.

The table shows the results of the simulation,

08458 this simulation contains digit '0' so there is no pizza.

47165 this simulation contains digit '1' so there is no pizza.

68194 this simulation contains digit '1' so there is no pizza.

88490 this simulation contains digit '0' so there is no pizza.

01841 this simulation contains digits '0 and 1' so there is no pizza.

43226this simulation contains no digits '0 and 1' so there is pizza available.

12924 this simulation contains digit '1' so there is no pizza.

52568 this simulation contains no digits '0 and 1' so there is pizza available.

93039 this simulation contains digit '0' so there is no pizza.

39406this simulation contains digit '0' so there is no pizza.

Total number of simulation = 10.

Formula for Probability = [tex]\frac{Number of favorable events }{Total number of outcomes}[/tex]

Probability of availability of Pizza = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2.

Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.

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Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?

Answers

Answer:

8x - 40 > 200

Step-by-step explanation:

my friend needs help with this can someone help

Answers

Answer:Sorry

Step-by-step explanation:

Hi would help but i dont know and im not in collage sorry.

A trapezoid was broken into a rectangle and two equal
triangles.
The base of each triangle bis
m.
The area of the rectangle is
The area of each triangle is
m2
m2.
m2.
The area of the trapezoid is
Please help

Answers

Step-by-step explanation:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

[tex]5m - 1m = 4m \\ \frac{4m}{2} = 2m \: each[/tex]

For the area of the rectangle:

[tex]base \times height = 1m \times 4m = 4 {m}^{2} [/tex]

For the area of each triangle:

[tex] \frac{1}{2} base \times height = \frac{1}{2} (2m)(4m) = 4m^{2} [/tex]

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

Answer:

For the base of the triangles, we just have to remove the 1m and divide the remaining measurement into two since they are symmetrical.

For the area of the rectangle:

Step-by-step explanation:

For the area of each triangle:

For the area of the trapezoid, just combine the two areas:

4m² + 4m² = 8m²

I need help with this.​

Answers

Answer:

D=4

C=12.56

Step-by-step explanation:

D=2r

d=2×2

D=4

C=pi ×D

C=3.14×4

C=12.56

Use the exchange rate £1 = $1.38 to convert $276 into £.

Answers

Answer:

£200

Step-by-step explanation:

$276*(1/$138)=200 pounds

List all factors of 72

Answers

Answer:

1,2,3,4,6,8,9,12,18,24,36,72.

Step-by-step explanation:

What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)

At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.

Answers

Answer:

33dollors if I'm not mistakin

Which type of interest will earn you more money in a savings account?

Answers

Answer:

a compound interest that has the lowest interest rate .  

Step-by-step explanation:

Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5

A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2

Answers

Answer:

D- y=1/3x-1/2

Step-by-step explanation:

I believe that the slope needs to be opposite and the reciprocal

Write an algebraic expression for the word expression. the quotient of 10 times m and 7

Answers

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

please mark as brainliest

8 units to the left of five

Answers

it would be -3. have a good day

david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?

Answers

David has 24 cousins

Nishat has 6 cousins

Becky has twice as many cousins, so that would mean Becky has 12 cousins

David has twice as many cousins as Becky, so David has 24 cousins

I feel bad for David

Which pair of triangles can be proven congruent by SAS?

Answers

Answer:

SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.

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