A club of 50 students is doing volunteer. Each student is volunteering at one of four location. 14 at the hospital, 15 at the pet shelter, 8 at tutoring, 13 at library. What is the probability that the first student volunteers at the library and the other two do not?

Answers

Answer 1

Answer:

The probability is 0.1473

Step-by-step explanation:

Given;

total number of students, n = 50

number at hospital, h = 14

number at pet shelter, p = 15

number at tutoring, t = 8

number at library, L = 13

If three students are chosen at random without replacement, the number of students that will be selected to work in other location is given by;

50 - 13 = 37 students

The probability that the first student volunteers at the library and the other two do not is given by;

P(13 students at library) x P(2 out of the 37 students did not)

[tex]= (\frac{13}{50})(\frac{37}{49})(\frac{36}{48} )\\\\ = 0.1473[/tex]


Related Questions

The local newspaper has letters to the editor for 40 people if this is the number represents 5% of all the newspaper readers how many readers does the newspaper have. fill in the blanks

Answers

40/5= 8  8 is 1% of the total people, 1% x 100 = 100%

8 x 100 = 800 people

The answer to this question would be: The newspaper has Eight hundred  readers.

Part = Percent x Whole

40 = 5% x 800

Do the equation above to make sure your correct( it is) and if it doesn't come back to 40 then your math is incorrect and you have the incorrect answer

Do that with all math that your trying to find the whole for, its a helpful thing.

For a given show, a theater charges $80 for a premium ticket and $30 for a regular ticket. If a total of n tickets were sold and p of them were premium tickets, what is the total amount, in dollars, from the sale of regular tickets and premium tickets?

Please explain the process.

Answers

Answer:

50p + 30n

Step-by-step explanation:

Cost of each premium ticket = $80.

Cost of each regular ticket = $30

Total tickets sold = n

We are told that p tickets were sold. Thus;

Total tickets sold is; p + (n - p)

Thus total amount generated is;

T = 80p + 30(n - p)

T = 50p + 30n

Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 4 hours. On average, how many pancakes did Selena make per hour?

Answers

Answer: 33

Step-by-step explanation:

Divide 132 and 4,

132 divided by 4 equals 33

Question 4
Marcus receives $800 from his grandmother,
He decides to spend $150 and to divide the remaining S650 in the ratio
savings : holiday 9:4.
Calculate the amount of his savings.

Answers

Answer:

4.3722893i4u37738jdjd8ddjdijdej

A car leaves at 9 : 00 a.m. and drives at a constant speed. It is 20 miles from its starting point at 9 : 30 a.m. At what time will the car be 200 miles from its starting point?

PLSSSS HELP

Answers

Answer:

2:00 PM

Step-by-step explanation:

I figured out that the car is going 40 mph seeing as how it went 20 miles in 30 minutes.

I used this and found out how many hours it would take to get to 200 miles at this rate:

200/40 = 5

I divided 40 by 200 as 200 is the end goal and the car is going 40 mph.

The 5 is 5 hours, so I added 9 and 5 to get 14 which is 2:00 PM

Hope this helps!! :)

Pls help!
Identify the range of the function shown in the graph.

Thanks

Answers

Answer:

A

Step-by-step explanation:

Range is all y values of a graph and seeing that it has no arrows means its not infinite so its not B. The graph starts at 0 and ends at 5 so the smallest value is 0 and the largest is 5 therefore making the answer A.

I need help with 8,9,10 please Instructions: factor these trinomials BRAINLY!!!!!!!!!! 20 points!!!!!!!!

Answers

Step-by-step explanation:

8: (y-6) (y+8)

steps: m + n = 2 and m×n = -48 so m is 8 and n is -6

9: (m-8)(m+2)

same steps for the first

10: (x-7)(x+2)

comment if you need any further help.

Write the equation y=3/4x-4 in standard form

Answers

Answer:

-3x+4y=-16

Step-by-step explanation:

Find the area and perimeter of the bold triangle

Answers

Answer:

area=368

perimeter=49

Step-by-step explanation:

17 x 24 = 368

17 + 24 = 41

41 + 8 = 49

Can anyone help me please

Answers

Answer:

NM = [tex]\sf \sqrt{70}[/tex]

Step-by-step explanation:

Let NM = y

If KL is twice the length of NM, then KL = 2y

Given:

KM = 20NO = 7

As ΔKLN ~ ΔNOM

   KL : KM = NO : NM

[tex]\sf \implies 2y : 20 = 7 : y[/tex]

[tex]\sf \implies \dfrac{2y}{20}=\dfrac{7}{y}[/tex]

[tex]\sf \implies 2y \cdot y=7 \cdot 20[/tex]

[tex]\sf \implies 2y^2=140[/tex]

[tex]\sf \implies y^2=70[/tex]

[tex]\sf \implies y=\sqrt{70}[/tex]

As NM = y, then NM = [tex]\sf \sqrt{70}[/tex]

Answer:

NM = [tex]\sqrt{70}[/tex]

Step-by-step explanation:

Δ NMO and Δ KML are similar ( by the AA postulate )

Then the ratios of corresponding sides are in proportion, that is

[tex]\frac{NM}{KM}[/tex] = [tex]\frac{NO}{KL}[/tex] ( substitute values, noting KL = 2NM )

[tex]\frac{KM}{29}[/tex] = [tex]\frac{7}{2NM}[/tex] ( cross- multiply )

2 NM² = 140 ( divide both sides by 2 )

NM² = 70 ( take the square root of both sides )

NM = [tex]\sqrt{70}[/tex]

1,368 divided by 12. Please help

Answers

Answer:

114

Step-by-step explanation:

Answer:

114

Step-by-step explanation:

because desmos. com/ scientific

n the 1920s, sled dog teams delivered mail to remote cities like Nome in the winter. The lowest temperature most sled dogs can run in is -71ºF. That’s 21º warmer than the coldest it gets in Alaska in winter. What’s the winter low temperature in Alaska?

Answers

Answer:

-50

Step-by-step explanation:

-71 + 21

-50

The 21 is positive so we subtract it off like when we do 1 - 1. The second 1 is negative to the first 1 who is positive.

Have an amazing day!

PLEASE RATE!!!

What is 8,980,000 in scientific notation

Answers

Answer: 8.98 × 10⁶

...................................

Janet has 3 cube-shaped boxes. Each box has a side length of 10 inches. What is the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes

Answers

Answer:anyone here watch anime

Step-by-step explanation:

EREN JEAGER

The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is  12.5 square feet.

Side of each cube = 10 inches

Number of cubes =3

As we know The minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes will be the total surface area of all 3 boxes.

What is the total surface area of a cube?

The total surface area of a cube with side a is 6a².

So, the total surface area of a cube with a side of 10 inches will be 6*10² = 6*100 = 600 square feet.

So, the total surface area of 3 cubes with a side of 10 inches will be 600*3 = 1800 square inches.

As we know that 1 square inch = 0.00694444 square feet

So, 1800 square inches = 1800*0.00694444 = 12.5 square feet.

Therefore, the minimum amount of wrapping paper needed, in square feet, to wrap all 3 boxes is  12.5 square feet.

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What is the value of the function at x=−2?
y=−2
y = 0
y = 2
y = 3

Answers

Answer:

3

Step-by-step explanation:

hope it is right and is helpful

3 I really hope that helps

plsssssssssssssss

help

really urgent

thank you

reward: follow, heart and brainliest

Answers

For your first claim you can say because I told the number from a is larger. For the second claim you would measure the differences between all 7 numbers for section B. If you wanted to claim the average was the same for both, you would say there is no difference and they both equal the same average. Hope this helps

Find the missing number in this proportion. 9 = 18/32

Answers

Seems like they simplified the nine by dividing it by two, therefore divide the 32 by two as well and you get 16 so 9/16

Urgent!!
Explain how you got the answer in details ​

Answers

Answer:

above is the solution to the question

For which polygon is the sum of the exterior angles equal to 360o?.

Answers

Answer:

equiangular polygons

Step-by-step explanation:

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

Write in standard form
820000000

Answers

Answer:

820000000 in standard form - Brainly.inhttps://brainly.in › Math › Secondary School

Step-by-step explanation:

answer is 8.20000000 x 10^8

You have $45 in your piggy bank each week you put in another $12 from your allowance write an equation that shows the number of weeks W it will take to have $105 in your piggy bank

Answers

Solving a linear equation we will see that after5 weeks you will have $105 on your piggy bank.

How many weeks until you have $105 in your piggy bank?

We know that it starts ar $45, and then you add $12 each week. Then the amount of money after W weeks is modeled by the linear equation:

y = 12*W + 45

You will have $105 when the value of y is 105, replacing that we get the equation below:

105 = 12W + 45

105 - 45 = 12W

60 = 12W

60/12 = W

5 = W

You will have $105 on your piggy bankafter 5 weeks.

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Pls help me on this problem I’m confused

Answers

Answer:

1 pound = 16 ounces

3 × 16 = 48 ounces

48 + 12 = 60

60 ÷ 6 ounces a week = 10 weeks

Enter your answer and show all the steps that you use to solve this problem in the space provided.
What is the solution to the proportion?
3y-8/12 = y/5

Answers

5(3y-8)=12(y)
15y-40=12y
3y=40
y=40/3

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Answer:

Information

General form of an exponential function:  [tex]y=ab^x[/tex]

where:

[tex]a[/tex] is the y-intercept (or initial value)[tex]b[/tex]  is the base (or growth factor)[tex]x[/tex]  is the independent variable

Also, growth rate [tex]r=b-1[/tex]

Domain:  input values - independent variable ⇒ [tex]x[/tex]

Range:  output values - dependent variable ⇒ [tex]y[/tex]

y-intercept:  when [tex]x=0[/tex]

Asymptote:  the line(s) that the curve approaches as it tends towards infinity

Given function:  [tex]f(x)=200(1.08)^x[/tex]

Solution

Domain:   [tex]-\infty < x < +\infty[/tex]

Range:   [tex]y > 0[/tex]

y-intercept ([tex]a[/tex]):  [tex](0, 200)[/tex]

Asymptote:   [tex]y=0[/tex]

Growth Rate ([tex]b-1[/tex]):   [tex]0.08[/tex]

Growth Factor ([tex]b[/tex]):   [tex]1.08[/tex]

End behaviors:

[tex]\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0[/tex]

[tex]\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty[/tex]

Lonnie is considering doing some long term investing with money that she inherited. She would like to have $50,000 at the end of 30 years. Approximately how much money would Lonnie need to put into an account earning 6% interest compounded annually in order to meet her goal? a. $8,706 b. $9,000 c. $27,778 d. $40,690

Answers

Answer:

$8,706

Step-by-step explanation:

Lionnel is considering doing some long term investments with the money she inherited

She would like to have $50,000 at the end of 30 years

The interest is 6%

Therefore the amount that Lionnel would need to put into the account can be calculated as follows

A= P(1+r)^t

50,000 = P(1+6/100)^30

50,000 = P (1+0.06)^30

50,000 = P(1.06)^30

50,000= 5.7434P

P = 50,000/5.7434

P= $8,706

Hence Lionnel will need to put $8,706 into an account earning 6% interest

Answer:

It's A-$8,706 :))

Step-by-step explanation:

my new laptop was $824.99 plus the 10 % tax. what will it cost me

Answers

907.489 I’m pretty positive

Kevin bought 5 tickets to a concert for 125$

Answers

It would be $625, 5x100=500 + 5x25 = 125= 625. $625

During math class last week, Terrence was asked to determine if the equation shown has no solution, one solution, or infinitely many solutions 101 - 6+ 2. = 4(3x - 1) - 2 Terrence concluded that the equation has infinitely many solutions Determine if Terrence's conclusion is correct that the equation has infinitely many solutions Show each step of your work and justity your thinking Enter your answer work, and justification in the box provided

HELP PLEASE!!

Answers

The equation can have no solution or as many solutions as possible

Terrence's conclusion that the equation has infinitely many solutions is false

How to determine the number of solutions?

The equation is given as:

101 - 6+ 2 = 4(3x - 1) - 2

Open the bracket

101 - 6+ 2 = 12x - 4 - 2

Collect the like terms

12x = 101 - 6+ 2 + 4 + 2

Evaluate the like terms

12x = 103

Divide both sides by 12

x =103/12

The above shows that the equation has one solution

Hence, Terrence's conclusion that the equation has infinitely many solutions is false

Read more about equation solutions at:

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Can anyone help?tyyy☆​

Answers

Answer:

what is the question tho?

Step-by-step explanation:

A line is parallel to y = 3x - 12 and
intersects the point (1, -2). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - X1)
Then write the equation in slope-intercept form.

Answers

Answer:

y = 3x - 5

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

to find c substitute (1, - 2 ) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

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