Mathematics College

Example 3:
In how many ways can a supermarket manager display 5 brands of cereals
in 3 spaces on a shelf?
Solution:

Answers

Answer 1

Answer:

Step-by-step explanation:

5!/(3!(5-3)!)

5!/(3!x2!)

120/12

Answer 2

In 10 ways can a supermarket manager display 5 brands of cereals

in 3 spaces on a shelf.

What is Combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.

Given:

Total brands of cereals= 5

Using Combination, C(n, r)

= n!/ r! (n- r)!

So, the number of ways

= C(5, 3)

= 5!/(3!(5-3)!) 5

= 5 x 4 x 3! / 3! x 2!

= 5 x 4 /2

= 10

Thus, the total number of ways is 10.

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ6

Related Questions

4x-1divide by 2=x+7
what is x

Answers

X= 2.5
just move the terms collect the terms calculate it, divide both sides !!

Please help me on this question. Thanks

Answers

Answer:

E. p - 7 + 7 = 22 + 7

Step-by-step explanation:

p - 7 + 7 = 22 + 7 ( -7 + 7 = 0)

p = 22 + 7

p - 7 = 22//

PLEASE HELP WILL MARK YOU!!!

Answers

Answer:

hear is your required answer

Answer:

please see the image given above. hope this helps

Helpppp me with explanation also please:(((((

Answers

Answer:

x=7/3

Step-by-step explanation:

3x2y=5 equation 1

3x-2y=9 equation 2

6x=14 add above 2 equations which eliminates y

x=14/6

x=7/3

determine the missing angle.

Answers

Answer:

the missing angle will be 140°

Answer: 140

Step-by-step explanation:

the ratio equivalent to 3:4.

Answers

Answer:

33:44

Step-by-step explanation:

4*11=44

3*11=33

Amanda is reading a book that has 125 pages. She has read 12 pages a day for 4 days in a row.

How many more pages does Amanda have left to read?

Answers

Amanda has 77 more pages to read

explanation:
12x4=28
125-48=77

Lillian is sitting on a bench in the mall. She noticed that 3 out of the last 15 men who walked
by had a beard. What is the experimental probability that the next man to walk by will have a
beard?
Write your answer as a fraction or whole number.

Answers

Answer:

3/15= 1/5 That's the answer

in the number 32.8 which digit is in the ones place
help pls

Answers

Answer:

Step-by-step explanation:

the number 2 is in the ones place

its a pretty easy answer

I need help with this

Answers

Base: 3 units

Height: 5 units

Area: 15 square units

([tex]A=b*h=3*5=15[/tex])

hope this helps :)

Determine the radius of a cone that has a volume of 155.521 cubic inches and a height of 9 inches.

Answers

Answer:The answer is 4.06

Step-by-step explanation:

Okay I am 98% sure my math could be wrong since I don’t know what the possible answers to the question are but this is what I got.

which ones do i press ?

Answers

Answer:

Step-by-step explanation:

b,e

Select the correct answer. Which graph represents the solution to the inequality?

Answers

Answer:

Step-by-step explanation:

First you simplify both sides to get -2.4x+14.4 > 52.8

then you need to subtract the 14.4 from both sides giving -2.4x> 38.4

then divide both sides by -2.4 giving an answer of

x is less than or equal to -16 meaning you point to the left with a closed circle

A T-shirt stand on the boardwalk recently sold 6 purple shirts and 9 shirts in other colors. What is the experimental probability that the next shirt sold will be purple?

Answers

Answer:

2/5.

Step-by-step explanation:

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

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.

here, we have,

To find the denominator, you add all of the times the experiment has been done.

6 + 9 = 15.

Then, since they're asking about purple shirts, you put that as the numerator.

Making it 6/15.

To simplify, divide both sides by 3, making it 2/5 simplified.

Hence, The solution is, 2/5 is the experimental probability that the next shirt sold will be purple.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

help asap !!!!!!!!!!

Answers

Answer:

Diagram 2= 5

Diagram 3=10

Diagram 4= 15

Diagram 8 would be 35

Step-by-step explanation:

There are two packs of hyenas that live just outside of a small town in Harar, Ethiopia. Each night, the
packs fight to determine which pack can go through the city gate. The city provides unlimited food and
water to any hyenas that enter.
Is there competition taking place in the scenario? *
2 points
Yes
No

Answers

Answer:

yes

Step-by-step explanation:

the packs are fighting for a common goal against each other

so they are competing

ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°.

AB =
cm

Answers

Answer:

48 ANS.

MAY IT HELPED U

help me please lol this is an important grade

Answers

Answer:

YOUR ANSWER IS B

Step-by-step explanation:

NO LINKS NO FILES! Jill says that the rules for multiplying and dividing integers are alike. Do you agree? Explain.

Answers

Answer:

Multiplying and dividing fractions are essentially the same process which you multiply the numbers straight across and no need for common denominators. Except in division of fractions, the second fraction is flipped so that the denominator is on the top and the numerator is on the bottom (reciprocal).

Answer:

I do not agree

Step-by-step explanation:

because in multiply negatives, the 2 negatives turn into a positive or multiplying positive and negative (and vice versa) becomes a negative still so the rules of multiplying and dividing are not alike integers. (For dividing it is the same!)

Guided Practice
Graph each equation by making a table. Then state the
domain and the range.
5A. 2x – y = 2
5B. x = 3
5C. y = -2

Answers

Use a graphing calculator

I need help with this problem for my homework pls help

Answers

Answer:

x = 6.93

y = 13.86

Step-by-step explanation:

We can solve x by;

Tan(60) = 12/x

Tan(60) * x = 12

x = 12 / Tan(60)

x = 6.93

We can solve y by;

A² + B² = C²

12² + 6.93² = y²

144 + 48.02 = y²

192.02 = y²

[tex]\sqrt{192.02}[/tex] = y²

13.86 = y

Hope this helps!

The sum of triple a number and 5 is 40.

Answers

x =35/3 or 11 2/3 or 11.6
(all forms)

hope this helped !!

x=35/3 or 11.6 ur welcome

A sheriff is interested in the average speed that people drive on Highway 50. Match the vocabulary word with its corresponding example.
A- The average speed that all drivers go on Highway 50
B- All people who drive on Highway 50
C- The average speed that the 250 randomly selected drivers drove on Highway 50
D- The speed that a driver drives on Highway 50
E- The 250 randomly selected drivers who were on Highway 50
F- The list of the 250 speeds that the drivers studied drove
a. Statistic
b. Population
c. Sample
d. Parameter
e. Data
f. Variable

Answers

Answer:

A: Parameter

B: Population

C: Statistic

D: Variable

E: Sample

F: Data

Step-by-step explanation:

A- The average speed that all drivers go on Highway 50: This is the parameter because it is the mean of the population.

B- All people who drive on Highway 50: This is the Population because it is from here that the sample was taken.

C- The average speed that the 250 randomly selected drivers drove on Highway 50: This is the statistic because it represents the mean of the sample.

D- The speed that a driver drives on Highway 50: This is the Variable because it varies with each driver.

E- The 250 randomly selected drivers who were on Highway 50: This is the sample because it is taken from a part of the population.

F- The list of the 250 speeds that the drivers studied drove: This is the data because it gives us information on the different speeds for this specific research.

what is the measure of <B, in degrees.

Answers

Answer:

Step-by-step explanation:

The base angles of the triangle are the same since the sides are the same

<C = 74

A+B+C = 180 since the sum of the angles of a triangle = 180

74+B+74=180

Combine like terms

148+B =180

B = 180-148

B = 32

Answer:

[tex]\text{A. }32^{\circ}[/tex]

Step-by-step explanation:

From the Isosceles Base Theorem, the two base angles of a isosceles triangle are equal. Therefore, [tex]\angle A=\angle C=74^{\circ}[/tex].

Since the sum of the interior angles of a triangle is always equal to 180 degrees, we can write the following equation:

[tex]\angle A+\angle B+\angle C=180[/tex]

Substitute [tex]\angle A=\angle C=74^{\circ}[/tex] into this equation to solve for [tex]\angle B[/tex]:

[tex]74+\angle B+74=180,\\\angle B=180-74-74=\boxed{32^{\circ}}[/tex]

if 2 newspapers cost 3 dollars how much does 1 newspaper cost

Answers

Answer:

x = 1.50

Step-by-step explanation:

We can use a ratio to solve

2 papers 1 paper

------------- = --------------

3 dollars x dollars

Using cross products

2x = 3*1

2x=3

Divide by 2

2x/2 = 3/2

x = 1.50

Answer:

$1.50

Step-by-step explanation:

example;

2/3=1.50

Have a great day <3

While at her family reunion, Anaya surveys the people there and makes a list of everyone's ages. She wants to make a data display that shows the youngest age, the mean age, and the oldest age, along with the way the other ages are distributed. What kind of display is her best choice?

A. Box-and-whisker plot
B. Histogram
C. Scatterplot
D. Ogive

Answers

Answer:a box and whisker plot

Step-by-step explanation:

Just took the quiz

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg. let p denote the proportion of all cartons which have at least one broken egg. Find a point estimate for p and also construct a 90% confidence interval for p.

Answers

Answer:

The point estimate for p is of 0.12.

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The manager of the dairy section of a large supermarket chose a random sample of 250 egg cartons and found that 30 cartons had at least one broken egg.

This means that [tex]n = 250, \pi = \frac{30}{250} = 0.12[/tex]

The point estimate for p is of 0.12.

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 - 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.0862[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.12 + 1.645\sqrt{\frac{0.12*0.88}{250}} = 0.1538[/tex]

The 90% confidence interval for p is 0.0862 < p < 0.1538.

Change fraction ( 11/4) from an improper fraction to a mixed number.

Answers

Answer:

Have a nice day :)

Step-by-step explanation:

To convert 11/4 into a mixed number, we need to divide 11 by 4 and get the values of quotient and remainder after performing division. When we divide 11/4, we get 2 as the quotient and 3 as the remainder. Now use the calculator to convert the following improper fractions to mixed fractions: 45/6

linar system in variables
-x-3y-2z=8,
-x+y+6z=,
x-9y-2z=4

Answers

Answer:

-x+y+6z=? You did not spcify so I just made it 0

x = -22/5, y = -4/5, z = -3/5

Step-by-step explanation:

Solve the following system: