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


The temperature early in the morning is 15 °C. The temperature increases by 2 °C for every hour for the
next 5 hours. Write a function for the temperature in degrees Celsius.
f(h)=

Answers

wait don’t you just like times it by 2 and get the answer

Find the slope of the line passing through the points (-2,3) a
and
(-9,6).

Answers

Answer:   Slope = -3/7

===================================================

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (6-3)/(-9-(-2))

m = (6-3)/(-9+2)

m = 3/(-7)

m = -3/7

This means each time you go down 3 units, you go to the right 7 units.

Slope = rise/run = -3/7

rise = -3 and run = 7

6. 5x + 3y = 22
5x – 2y=2

Answers

Answer:

the answer would be (2,4)

x=2 y=4

Answer:(2,4)

Step-by-step explanation: n o t h a n k y o u

A bucket contains 13 & 1/3 gallons of water and is 5/6 full. How many gallons of water would be in a full bucket?

Answers

Answer:

16

Step-by-step explanation:

Answer:

17 2+2+2+2+2+2+2+2+1

Step-by-step explanation:

the bucket contains 13 and 6

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Answer:

I don't know Im sorry

Step-by-step explanation:

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

17. Which is M=9pn solved for p? (1 point)
p = M/n p= M-9n. p= 9n/M. p=M/9n

Answers

B 56

Step-by-step explanation:

The ratio of the length to the width of a map is 5 to 2. The map is exactly 15 inches in length. What is the width of the map? A. 6 inches B. 7 inches C. 10 inches D. 12 inches

Answers

A. 6 inches

5:2 = 15:?
5 x 3 = 15, so 2 x 3 = your answer, 6.

Ruben's football team lost 2 yards, which means went backwards, on their last play. Which integer best represents this?

Answers

Answer:

-2

Step-by-step explanation:

Integers can be positive or negative.

What value of x would make AABC an isosceles triangle?
А
C с
2x + 4
3x - 8


Answers

Step-by-step explanation:

step 1. 2x + 4 = 3x - 8

step 2. x = 12.

Matematik 5. Sınıf Test Kitabı Arıyorum. Önerilerinizi Yazarsanız Sevinirim.​

Answers

Answer:

Matemito Matematik Atölyem 5 - Arı Yayınlarının

Step-by-step explanation:

Hoca Kaynak olarak aldırdı çok iyi.

What is 4w^2? Plz answer!!!

Answers

16 ? I would just multiply 4x4

Arsenic is toxic to humans, and people can be exposed to it through contaminated drinking water, food, dust, and soil. Scientists have devised an interesting new way to measure a person's level of arsenic poisoning: by examining toenail clippings. In a recent study,1 scientists measured the level of arsenic (in mg/kg) in toenail clippings of eight people who lived near a former arsenic mine in Great Britain. The following levels were recorded: 0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0
Do you expect the mean or the median of these toenail arsenic levels to be larger?

Answers

Answer:

The mean, because the outlier values are above the mean.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all values of the data-set divided by the number of values.

Median:

The median of a data-set is the value that separates the lower 50% from the upper 50% of the sorted set.

0.8, 1.9, 2.7, 3.4, 3.9, 7.1, 11.9, 26.0

Finding the median, since it is easier.

8 values, the median is the mean between the 4th and the 5th values. (3.4+3.9)/2 = 3.65

The values below the median are quite close to it, while those above it are considerably more distant, considered outliers, which means that we should expect the mean to be larger than the median.

Lowe's put an advertisement out looking for a department Asst. Manager. They pay
$850 weekly. If Joshua accepts the job, what will he make annually

Answers

Answer:

40800

Step-by-step explanation:

4 weeks = 1 month

So we use,

850 * 4 = 3400 (monthly)

12 months = 1 year

So we use,

3400 * 12 = 40800 (annually)

4 x 2/3 is less than 2/3 , since 2/3 is less than 1 is true or false ?

Answers

Answer = FALSE because

4×2/3 = 4

it less than 2/3 since 2/3 = 0

so answer will be false

the answer is false because 2/3 x 4 is 8/3 which is more than 2/3

An artist is selling children's crafts. Necklaces cost $2.50 each, and bracelets cost $1.25 each. Select all the combinations of necklaces and bracelets that the artist could sell for exactly $20.00.




15 necklaces and 1 bracelet



8 necklaces and no bracelets



no necklaces and 16 bracelets



3 necklaces and 8 bracelets



no necklaces and 8 bracelets



5 necklaces and 6 bracelets

Answers

Answer:

8 necklaces and no bracelets, no necklaces and 16 bracelets, 5 necklaces and 6 bracelets

Step-by-step explanation:

15 necklaces and 1 bracelet equals $38.75

8 necklaces and no bracelets equals 20

no necklaces and 16 bracelets equals 20

3 necklaces and 8 bracelets equals 17.5

no necklaces and 8 bracelets equals 10

5 necklaces and 6 bracelets equals 20

(WILL MARK BRAINLIEST) 16 POINTS!
GRAPHING LINEAR EQUATIONS. (picture below)
the map below shows certain locations in town. Use the map and the box of equations at the right to answer the questions below.

Answers

Step-by-step explanation:

Gas Station (2,7) -> y = [tex]\frac{1}{2}[/tex]x + 6 if you plug in the numbers it becomes 7 = 1 + 6

Grocery Store (6,3) -> x + 6y = 24 plug in the numbers it becomes 6 + 18 = 24

Bowling Ally (1, -3) -> 6x + 3y = -3 plug in numbers 6 -9 = -3

Movies (7, -7) -> y = -7 because the y coordinates for the movies = -7

Park(-2, -4) -> -6x + 2y = 4 plug in the numbers 12 - 8 = 4

Coffee Shop (-6, -8) -> -10x + 5y = 20 plug in the number 60 - 40 = 20

Gym (-8, -3)-> y = - [tex]\frac{1}{2}[/tex]x - 7 plug in the numbers -3 = 4-7

School (-6, 6) -> y = - [tex]\frac{1}{3}[/tex]x +4 plug in the numbers 6 = 2 + 4

6x + 3y = -3 quadrant II is (-x, y)

rearrange the equation:

3y = -6x - 3

y = -2x - 1

if x is -1,  y will be 2 -1 = 1. So another solution for this equation is (-1, 1).

What is m/3 = -12 I really need help with problem please help

Answers

Answer:

m=-36

Step-by-step explanation:

(3)m/3=-12(3) multiply by three to cancel out

m=-36

hope this helps :)

Question:

m/3 = -12

Answer:

m=-36

-36/3=-12

Compare the fractions using >,<, or = 3/15 and 1/3

Answers

Answer:

3/15 < 1/3

Step-by-step explanation:

We have two fractions, 3/15 and 1/3. The question is asking us to compare them using the less than sign <, greater than sign >, or equal sign =.

To solve this question, what we must do is try to get both fractions the same denominators, which will be done through multiplying 3 by a certain number to get to 15, then doing the same for the numerator.

So what multiplied by 3 gets us 15?

5.

Multiply both the numerator and denominator by 5.

[tex]\frac{1*5}{3*5}[/tex]

[tex]\frac{5}{15}[/tex]

Now that they both have the same denominator, we can compare and see which is bigger.

5/15 (1/3) and 3/15.

By this we can see that 3/15 is less than 5/15.

Therefore 3/15 < 1/3

Find the missing length.

Answers

The answer is 6 because 14+6=20

Hope this helps

Suppose that in 6 minutes, 54 gallons of water came out of a pipe. What was the rate in gallons per minute?

Answers

Answer:

9 gallons per minute

Step-by-step explanation:

If there are 54 gallons that came out of a pipe within 6 minutes, then we divide 54 by 6 to get how many would come out in 1 minute.

54/6 = 9.

Which of the following is the equation for the line of symmetry in this figure?

Help please

Answers

Answer:

Y=-2

Step-by-step explanation:

-2y is right in between the figure.

Hope this helps!

what is the area of a figure what is the area of a figure with a 16 inch base a 10 inch base and a height of 8 in on the left and 6in on the right ​

Answers

So I’m thinking of this as two triangles. So I would do 16x8/2 which equals 64 and 10x6/2 which equals 30. So my guess is that the area is 94in^2. Hope this helps you out!

kathy plans to bake 2 types of cookies to take to the party. She needs to be sure she has enough ingredients. The chocolate chip cookies use 2 1/4 cups of flour, the sugar cookies use 2 2/3 cups of flour. How much flour will she need?

Answers

Answer:

I think she will need One and 1/2 cups of flour

Step-by-step explanation:

please let me if I RIGHT

I will mark you brainlest if you get this question correct

Answers

Answer:

12, 17, 30.

Step-by-step explanation:

Given

(a) to (d)

Required

Which cannot represent a triangle

The rule to use is:

[tex]a + b > c[/tex]

So, we have: 12, 17, 30.

[tex]12 + 17 > 30[/tex] ===> [tex]29 > 30[/tex] --- False

[tex]12 + 30 > 17[/tex] ==> [tex]43 > 17[/tex]

[tex]17 + 30 > 12[/tex]

Because, one of the inequalities is False, then this can not represent the sides of a triangle.

Please help math 1-2 high school solving proofs.

Answers

Answer:

1= A

2= C

Step-by-step explanation:

I think this is right I'm not sure but I think it is.

hope this helps :)

Pls help I’ll brain lest ASAP

Answers

What the question?????

What is the mass of a truck if it
produces a force of 14000 N while
accelerating at a rate of 5 m/s/s?

Answers

Answer:

force (f)= 14000N

acceleration (a)=5m/s²

mass (m)=?

we have,

f=ma

14000=m×5

14000/5=m

2800=m

therefore Mass is 2800kg

Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?

Answers

Answer:

about 29 seconds and 74 meters

Step-by-step explanation:

I need help on this :)

Answers

Answer:

<

Step-by-step explanation:

Need points :(

Answer:

Step-by-step explanation:

x+23+x=90

2x=67

x=33.5

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