a set contains the numbers 0,6,12, and 15 Two different numbers are selected randomly from this set. What is the probability that the sum is greater than 12? What is the probabilty the product is 72?

Answers

Answer 1

The probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

The outcomes that the sum is greater than 12

6 and 12, 6 and 15, 12 and 15, 0 and 15

So the probability that the sum is greater than 12 is

= [tex]\frac{4}{C^{2} _{4} }[/tex]

= [tex]\frac{4}{6}[/tex]

= [tex]\frac{2}{3}[/tex]

The outcomes that the product is 72: 6 and 12

So the probability is

= [tex]\frac{1}{C^{2} _{4} }[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, the probability that the sum is greater than 12 is  [tex]\frac{2}{3}[/tex].  The probability the product is 72 is [tex]\frac{1}{6}[/tex].

Find out more information about probability here

https://brainly.com/question/11234923

#SPJ2


Related Questions

Sally has 2 pets in her house. The weight of her dog is 50 pounds and the weight of her cat is 12 pounds. By how much is the weight of the dog more than the weight of the cat?

A. 38 lb.
B. 30 lb.
C. 28 lb.
D. 20 lb.

Answers

Answer:

the answer is A. 38lb.

i hope this helps :)

Step-by-step explanation:

A. 38 lbs.
50-12= 38 pounds

How many onto functions are there from a set with three elements to a set with eight elements?

Answers

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be [tex]A\ and\ B[/tex] such that:

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

[tex]n(B) = 8[/tex]

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

What is the measure of angle of 1?

Answers

Answer:

m<1 = 118

Step-by-step explanation:

The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that

(28) + (90) = m<1

Remember, a box around an angle signifies that its measure is (90) degrees.

Solve this problem by performing the operation,

118 = m<1

-4(6-b)=4 show work plz

Answers

Answer:

b= 7

Step-by-step explanation:

Solve. *25 points*

1/2 divided by 2/3 =?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

When you divide two fractions, such as 1/2 ÷ 2/3, you have to flip the second fraction and then you simply multiply the numerators with each other and the denominator with each other.

hey guys may you help me with these questions 1 2 and 3
thank you ​

Answers

Answer:

1a. [tex]\frac{3}{4}[/tex]

1b. [tex]\frac{7}{10}[/tex]

1c. [tex]\frac{3}{10}[/tex]

1d. [tex]\frac{1}{3}[/tex]

2a. [tex]\frac{3}{4}[/tex]

2b. [tex]\frac{1}{5}[/tex]

2c. [tex]\frac{3}{10}[/tex]

2d. [tex]\frac{9}{10}[/tex]

2e. [tex]\frac{1}{20}[/tex]

3. [tex]\frac{1}{8}[/tex]

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box? Enter your answer in the box.


*I will give you 48 POINTS AND BRAIN-LEST*

Answers

Volume of the box is 64 cm³
We have to find the area of one face of the box.
Let one side of the box is x
Then volume = x³ = 64
x³ = 4³
x = 4
Now area of one face of the cube = x²
then area = 4² = 16 cm² so the answer is 16 cm2

Calcula el área de un círculo con circunferencia de 37.68 unidades.

Answers

Answer:

Tu respuesta

Step-by-step explanation:

1.) https://www.letsanswers.com/calcula-el-area-de-un-circulo-con-circunferencia-de-37-68-unidades/

How many classes would Gina need to take for the total cost to be the same at both dance studios

Answers

Answer:

How many classes is Gina taking?

Answer:

10

Step-by-step explanation:

right on edge

2. Two puppies together weigh 22 kilograms 300 grams. If one
puppy weighs 9 kilograms 500 grams, how heavy is the other
puppy?
Tip: 1 kg = 1000 g
answer asap

Answers

Answer:

B = 12800 grams or 12kg 800 grams.

Step-by-step explanation:

Let the two puppies be A and B respectively.

Translating the word problem into an algebraic expression, we have;

A + B = 22kg 300g

A = 9kg 500g

Conversion;

1 Kilograms = 1000 grams.

9kg 500g = 9*1000 + 500 = 9500 grams

22kg 300g = 22*1000 + 300 = 22300 g

Substituting into the above formula, we have;

9500 + B = 22300

B = 22300 - 9500

B = 12800 grams or 12kg 800 grams

The smith family is shopping for a new car

Answers

Answer:

Sample response: The Smith family has 2 choices to make, color and style. By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices, 2 colors and 4 styles, 4 colors and 2 styles, or 8 colors and 1 style.

Step-by-step explanation:

Is this all? .......

a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion

Answers

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

what is the reciprocal of 453463.432849

Answers

Answer: 0.00000220524

Step-by-step explanation:

ANSWER ASAP I WILL MARK AS BRAINIEST AND GIVE POINTS

Answers

Answer:

90 units sold per hour

Step-by-step explanation:

1/60 of an hour is one minute

1 1/2 is how much it is per minute

1 1/2*60=90

Jay had three cupcakes he divided the cupcakes by 1/3 how many pieces of cupcakes does Jay have now

Answers

Answer:

9

Step-by-step explanation:

if one cupcake is split into 3 pieces *1/3 per piece* then 3 cupcakes would be 9 slices in total *3x3=9*

4. Sharlene walked 7 2/11
km to school an 2 8/11
km to the park. How many
Kilometers dild she walk in all​

Answers

Answer:

9 10/11 km

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

7 2/11 km to school

Another 2 8/11 km to the park

Step 2: Find Total

Add:                                                                                                                   9 10/11 km

7. If the total number of books checked out of the library at your high school is 14,400 and the student population
is about 2400. How many books on average does each student have?

Answers

To find how many books per student, you will have to divide the total number of books by the total number of students.

14,400/2,400
= 6

Which is a lot of books to check out from a school, but real life math problems has no logic.

PLEASE ANSWER ASAP REALLY EASY QUESTION WILL GET BRAINLEST!!!!!!!!!!!
Is this a random or biased sample?

Answers

Answer:

It should be random (i think I don't know)

Step-by-step explanation:

Answer:

Yes it is biased

Step-by-step explanation:

Because instead of selecting a random variety of people they chose ones that are using their service...meaning they probably like the service. (I mean why else would they have it then)

Have a great day.



Enlarge the triangle by scale factor 0.5 using (3, 1)

as the centre of enlargement.

Answers

Answer:

(1.5, 0.5)

Step-by-step explanation:

Given the coordinate point (x, y, if it is enlarged by a factor of k, hence the resulting coordinate will be (kx, ky)

Given the coordinate (3,1). If enlarged by a factor of 0.5, the resulting coordinate will be (3*0.5, 1 * 0.5) = (1.5, 0.5)

Answer:

USE: (0,2) (0,4) (-1,4)

Step-by-step explanation:

PLEASE USE THESE CO - ORDINATES IN ORDER TO PLOT THE TRIANGLE AND THEN USE THE LINES TO JOIN IT UP

Always proud to help!

Wake up and help me out thank youuuuu !!!!

Answers

Correct answer is the last one
The answer is The fourth one D

A camcorder costing 150 has a markup rate of 35% . Find the markup.

Answers

I'm so sorry I don't know the answer to this question try something else

A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.

Answers

The answer is 100 boxes

Answer:

100

Step-by-step explanation:

Using the GCF factor the given expression: 21xy + 14y

Answers

Answer:

7y(3x+2)

you take out the 7y from both sides

A fraction is shown. HHH 1 What fraction is shown on the number line? 5 O A 6. OB. 을 Ос. OD. ОЕ.​

Answers

Answer:

huh?

Step-by-step explanation:

There are ten shirts in your closet, four blue and six green. You randomly select one to wear on Monday and then a different one on Tuesday. You wear a blue shirt on Monday and a green shirt on Tuesday

Answers

this is very simple. so basically u need statistic for the persetage of finding the answer. basically what jm saying is if u wear a blue shirt on monday and green on tuesday. then thertiocially u should wear a opsiote the following week. hope rhis helps :)

9 - (4/9+1/3)
Write and solve a word problem for the expression

Answers

Answer:

9 pizzas total were bought for a party. Maya ate 1/3 of a pizza. John ate 4/9 of the same pizza. How much pizza is left?

Answer: 74/9 or 8.2

Step-by-step explanation:

first add 4/9 and 1/3 since it's in parenthesis

4/9+1/3

they need to have the same denominator, use the LCM (which is 9)

multiply 1/3 by 3 to achieve the LCM

4/9+3/9

add together numerators

7/9

subtract 7/9 from 9

9/1-7/9

get 9 to achieve the LCM (which is 9 again)

multiply 9/1 by 9

81/9 minus 7/9= 74/9

What's the right answer?

Answers

Given:

[tex]sinh(f(x))=1+x^2[/tex]

To find:

The value of f'(x).

Solution:

Formulae used:

[tex]\dfrac{d}{dx}sinh(x)=cosh(x)[/tex]

[tex]\dfrac{d}{dx}x^n=nx^{n-1}[/tex]

[tex]\dfrac{d}{dx}C=0[/tex]

Chain rule:

[tex]\dfrac{d}{dx}[f(g(x))]=f'(g(x))g'(x)[/tex]

Where C is an arbitrary constant.

We have,

[tex]sinh(f(x))=1+x^2[/tex]

Differentiate with respect to x.

[tex]cosh(f(x))f'(x)=0+2x[/tex]

[tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex]

Therefore, the required values is [tex]f'(x)=\dfrac{2x}{cosh(f(x))}[/tex].

Solve
3x + 7 = 1

please show full working out

Answers

Answer:

-2 is answer

plz plz plz plz mark me brainliest

Step-by-step explanation:

* 3x + 7 =1

or 3x = 1 - 7

or 3x = -6

or x = -6/3

or x = -2

The distance between the amusement park and the bus terminal on a map is 2.25 inches. The map uses a scale in which 1 inch represents 15 miles. What is the actual distance between the amusement park and the bus terminal?

Answers

Answer:

33.75 miles

Step-by-step explanation:

[tex]\frac{1}{15} :\frac{2.25}{y}[/tex]

1 × y = 2.25 × 15

y = 33.75

Members of a basketball team are reviewing their scores from the last several games. They record their point totals in the stem-and-leaf plot shown.

Use the drop-down menu below to answer the question about the stem-and-leaf plot.

Answers

Answer:

13 games

Step-by-step explanation:

Answer:

13 games

Step-by-step explanation:

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