Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
Only 4 people will be chosen at random. What is the probability that Ashley, Bob, Claire, and Daniel will be
chosen? (Lesson 19.3) (1 point)

Answers

Answer 1

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

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]

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

[tex]D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1[/tex]

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

[tex]T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1}{715} = 0.0014[/tex]

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.


Related Questions

Can somebody help me with this one?

Answers

since BD bisects the angle, both sides are equal

6x=5x+10
subtract 5x from both sides
x = 10

answer: x=10

exact volume of this cylinder ​

Answers

I am taking this quiz but I'm pretty sure its....c

Answer:

Volume=πr2h=π·42·8≈402.12386

Step-by-step explanation:


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y = 10 x = 4

Step-by-step explanation:

Answer:

y = 10x - 30

Step-by-step explanation:

x = 5

5 x 10 = 50

50 - 30 = 20

y = 20

x = 6

6 x 10 = 60

60 - 30 = 30

y = 30

x = 7

7 x 10 = 70

70 - 30 = 40

y = 40

x = 8

8 x 10 = 80

80 - 30 = 50

y = 50

At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________

Answers

Answer:

Your answer is 31 for 1 shot points, and 45 for 2 shot points.

Step-by-step explanation:

If x= 9 in what is the surface area of the geometric shape formed by this net?

Answers

Answer:

D

Step-by-step explanation:

Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2

Ismail has 44 sweets more than Johan. If the number of sweets Johan has is of the
7/11 of the number of sweets Ismail has, how many sweets do they have altogether?​

Answers

Answer:

121

Step-by-step explanation:

Find out the amount of units Ismail have more than Johan.

11 - 7 = 4 units

Since Ismail has 44 more sweets than Johan and 4 more units..

4 units = 44

1 units = 44 ÷ 4 = 11

Altogether, there's 11 units.

11 units = 11 x 11 = 121

For the functions f(x) = 3x – 6 and g(x) = 3, (f9) (x) would be equal to:
a) (f9)(x) = 9x2 – 18
b) (f9) (2) = 9x – 18
c) (f9) (2) = x – 2
d) (f9) (x) = 3x – 3

Answers

It’s B you would multiply

9 points
7) What is the Unit Rate? $12.84 for 4 cookies. *
O $3.21
O $4.20
O $5.19
O $2.50

Answers

Answer:

$3.21

Step-by-step explanation:

Please let me know if you want me to write an explanation for my answer :)

What is 643 divided by 8.4?

Answers

643 divided by 8.4 = 76.5
Or if you round it to one decimal place 77 is the answer

Hi there!

643*8.4=76.5476190476

Dakota and his brother mowed yards to earn money over the summer. Together they made $312. If they split the money they made, how much money will each boy get?

Answers

Answer: $156

Step-by-step explanation: 312 divided by 2 = 156

Solve 1∕4p + 5∕6 = 2∕3 for p.
Question 1 options:

A)

–1∕24

B)

3∕8

C)

–2∕3

D)

6

Answers

Answer:

C)  -2/3

Step-by-step explanation:

1/4p = 4/6 - 5/6

1/4p = -1/6

6p = -4

p = -4/6 or -2/3


The whole bar weighs 60 grams. How much does 1/4
of the bar weigh?

Answers

Answer:

15 grams

Step-by-step explanation:

Answer:

1/4 of the bar is 15 grams

Sakima is making cookies for a bake sale. He needs to make 20 dozen cookies. For each dozen, he needs 4 ounces of nuts. How many pounds of nuts should he buy?

A. 1 3/5 lb
B. 1/4 lb
C. 2 lb
D. 80 lb
E. 5 lb

Answers

Answer:

5

Step-by-step explanation:

20÷4=5

Sorry if the picture is scuffed. Pls help fast

Answers

Answer:

C

Step-by-step explanation:

the domain would be all positive real numbers, including zero

Sum of the second and third consecutive odd integers, simplified

Answers

If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.

Odd Integers

If you recall, an even integer is always
2
2 times a number. Thus, the general form of an even number is
n
=
2
k
n=2k, where
k k is an integer.
If I am incorrect I am so sorry.:(

Find the value of x if you solve one please say the question number and you dony have to show work

Answers

Answer:

question 1-- x=15

question 2-- x=21

1. x=15
2. x=21
3. x=42
4. x=26
5. x=14

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

Answers

Answer:

if anything, I would say C. I can't see the image too clearly, but I can see what you typed out

Step-by-step explanation:

Michael is running a marathon. Michael can run 1/2 of a mile in 1/10 of an
hour. How many miles can he run in one hour?

Answers

Answer:

5 Miles

Step-by-step explanation:

First, start with multiplying 1/2 by 10 (because we are using 1/10), and you get 10/2, which equals 5.

Answer: How many miles can he run in one hour?

six miles

But for a normal person it's one mile per 10 minutes or about six miles per hour.

An automobile manufacturer claims that its car has a 37.2 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this car since it is believed that the car has an incorrect manufacturer's MPG rating. After testing 120 cars, they found a mean MPG of 37.1. Assume the standard deviation is known to be 1.1. A level of significance of 0.05 will be used. Make a decision to reject or fail to reject the null hypothesis.

Answers

Answer:

fail to reject the null hypothesis

Step-by-step explanation:

Based on the information provided I would fail to reject the null hypothesis. This is because the Miles per gallon that the independent testing firm has concluded for the car nearly matches the car's MPG claim. The difference being 0.1 . Since the standard deviation is 1.1 for this test, this means that the average falls perfectly within this range and makes the data very compelling. Combine this with a very low level of significance, I would say that the claim is backed by the data.

Please help!

6:2(1+2)=??

Answers

[tex]6 \div 2(1 + 2) = 9[/tex]

Explanation :

[tex]6 \div 2(1 + 2)[/tex]

[tex] = 3(3)[/tex]

[tex] = 9[/tex]

which statement best describes the roots of f(x)=x^2-6x+25?

Answers

Answer:

permiteme veré en álgebra baldor

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

What are the roots of the equation?

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

f(x) = x² - 6x + 25

Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.

Then the roots of the equation are given as,

[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]

Simplify the equation further, then we have

x = 3 ± 4i

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

More about the roots of the equation link is given below.

https://brainly.com/question/12029673

#SPJ2

What is the answer to - y¹⁵・- y¹² ?

Answers

Answer:

y^3

Step-by-step explanation:

- y^15-12

two negatives is a positive

The answer is -y^27
Bc according to the product rule you add the exponents when two numbers with the same base or in general are multipled

Pls help extra points and mark brainlist

Answers

Answer:

80 + 30h

Step-by-step explanation:

(10 * 8) + (10 * 3h)

=80 + 30h

[tex]\Large\boxed{\tt Anwer:~80+30h}[/tex]

[tex]\tt Step-by-step~explanation:[/tex]

We need to distribute the 10 to 8 and 3h. In order to do this, we can multiply 10 by 8 and 10 by 3h.

[tex]\tt 10*8=80\\10*3h=30h[/tex]

Then, we add them together to get the answer.

[tex]\tt 80+30h[/tex]

Simplify (3^z)^6 in exponent notation

Answers

Answer:

3^6z

Step-by-step explanation:

you multiply 6 and z since they are exponets and one is in a (

Answer:

3 to the power of 6z of 3^6z

Step-by-step explanation:

BRAINLIEST only for effort-y answers
In the graph, which vertical line (V) and horizontal line (H) can be used to graph point E?

A) V: x = 2; H: y = –2

B) V: y = –2; H: x = –2

C) V: x = –2; H: y = 2

D) V: x = 2; H: y = 2

Answers

Answer:

A. V: x = 2; H: y = –2

Step-by-step explanation:

you start at 0 and then you have to go right first til you get to 2 then go down til you get to -2

**I got this correct on test also :))

a $5 bill is exchanged for 72 coins having a total calue.of $5. Some of the coins are nickels and the rest are dimes. How many dimes are in the exchange?

Answers

Hi there!

Ok so we know that every nickel is €5 and every dime is €10...

Let think...

If it is 30 nickels it would be 150 cents and would also be 1.50$...

Now we know that there is 42 dimes left.. let see if it can be equaled.

[tex]42[/tex]·[tex]10=4.62[/tex]

Adding both together would be 6.12 and it’s more than 5$ so this means that the nickels must be more.

Now let think again.. if it would be 44 nickels then the rest for 5.00 would be 2.20 and 72 subtract by 44 is 28. 28 multiply by 10 is perfectly 2.80.. now let check...

[tex]44[/tex]·[tex]5=2.20[/tex]

[tex]72-44=28[/tex]

[tex]28[/tex]·[tex]10=2.80[/tex]

[tex]2.20+2.80=5.00[/tex]

Therefore, the total of dimes would be 28...

Help ASAP Draw a tape diagram representing the following situation. You may need to decide what to present with a variable.
At an athletic banquet, an equal number of athletes were seaterd at each of the 7 large tables, and 24 parents were seated together on the other side of the room. There were 87 guests attending.

Answers

Answer:9

Step-by-step explanation:87-24=63 and 63 divided by 7 equals 9

Brady is conducting an experiment using a spinner with four different colors: red, orange, blue, and green. He spun the spinner 40 times and recorded the following data.



Based on the data in the table, if Brady spins the spinner 240 times, he predicts the spinner will land on red roughly A. 48, B. 24, C. 12, D. 36 times. He also predicts the spinner will land on green roughly A. 108, B. 72, C. 48, D. 36
more times than it will land on red.

Answers

Answer:

out of 240, the prediction of landing on Red would be 36

out of 240, the prediction of landing on Green would be 108

Step-by-step explanation:

out of 240, the prediction of landing on Red would be 36 because:

240 x 0.15 = 36

out of 240, the prediction of landing on Green would be 108 because:

240 x 0.45 = 108

Your friend arrives and placed pieces appropriately on the board. What percent of the checker board squares have pieces?

URGENT I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

25% of the board is covered with checker pieces.

Step-by-step explanation:

Answer:

If it's just for the pieces shown, it's just 0.125 or 12.5%, but if it's saying to include both sides (even though the picture doesn't represent this), it's just 0.25 or 25%

Step-by-step explanation:

8/64 or 16/64

Solve the following triangle

Answers

Answer:

69

Step-by-step explanation:

as , 77+x = 146(external angle) , so x = 146 - 77

so x = 69

Answer:

Step-by-step explanation:

hope you'll now how to do it by ur own.

:)

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