Tutorial Exercise
An insurance agent has a list of 7 prospects and decides to telephone 2 of the prospects today and the other 5
prospects tomorrow. In how many different ways can the agent telephone the prospects?

Answers

Answer 1

Answer:

The agent can telephone the prospects in 240 different ways.

Step-by-step explanation:

Number of arrangements:

The number of different arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

In this question:

On the first day, 2 prospects will be called, and the total number of possibilites is 2!.

On the second day, the remaining 5 prospects will be called, and the total number of possibilities will be 5!. So

[tex]T = A_{2}*A_5 = 2!*5! = 2*120 = 240[/tex]

The agent can telephone the prospects in 240 different ways.


Related Questions

Liam has $62. He saves an equal amount of money each week for 6 weeks. Now he has $110. How much money did Liam save each week?

Answers

Answer:

Step-by-step explanation:

Liam saved $8 each week for 6 weeks.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's represent the amount of money Liam saves each week as x.

According to the problem, Liam saves an equal amount of money each week for 6 weeks, so the total amount he saves is 6x.

If we add this to the amount he started with, we get the total amount he has now: 6x + 62.

We also know that he now has $110, so we can set up an equation:

6x + 62 = 110

Subtracting 62 from both sides gives:

6x = 48

Dividing both sides by 6 gives:

x = 8

Therefore,

Liam saved $8 each week for 6 weeks.

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Which point is located at (2, 3)?




A
B
C
Or
D

Answers

Answer:

c

Step-by-step explanation:

WILL GIVE BRAINLIEST
Solve for x. Leave your answer in simplest radical form

Answers

Answer:

The answer is [tex]\sqrt{25}[/tex]

Step-by-step explanation:

Please mark brainliest

simon makes 30 cakes
he gives 1/5 of them to sali
he gives 10% of the 30 cakes to jane

what fraction of the cakes does he have leftv

Answers

Answer:

Step-by-step explanation: Total number of cakes made by Simon = 30 cakes.

Number of cakes gave to Sali = 1/5 Of total cakes = 1/5 * 30 = 6 cakes.

Number of the cakes gave to Jane = 10% of 30 cakes

10% can be written as 10/100 in fracions and in decimals it would be 0.10.

Therefore, 10% of 30 cakes = 0.10 times 30 = 3 cakes.

Total number of cakes left = Total cakes made - Cakes gave to Sali - Cakes gave to Jane = 30-6-3

Therefore, Total number of cakes left = 21.

21 cakes left our of 30 cakes.

21 out of 30 could be written in fracion form as 21/30.

We can reduce this fracion in simplest form by dividing top and bottom by 3, we get

7/10.

Therefore, 7/10 fraction of the cakes does he have left.

Can someone please help me with this and thank you:)

Answers

Answer:

B

Step-by-step explanation:

A is not correct because 1 does not equal 1/4 +1/4.

B is correct because 1/4*1 does equal 1/5. (and all the other ones)

C is not correct because 1 does not equal 1/4*1/4

D is not correct because 1/4 does not equal 1-1/4

Answer:

B

Step-by-step explanation:

12=24-y


help me pleaseee​

Answers

Answer:

y=12

Step-by-step explanation:

12=24-y

step 1

subtract each side by 24

24-24 cancels out

12-24=-12

now we have

-y=-12

we now have to divide by -1

-1/-1=1

-12/-1=12

so we can conclude that y=12

Answer:

y = 12

Step-by-step explanation:

12=24-y

y = 24 - 12

y = 12

45-428-(15+3) 2+2
45-428(18)4
45-428×18×4
45-428×72
45-30,816
-30,771​

Answers

Answer:

Have u answered it already or u want help or u want to be sure of the answer

The length of a side of a square is 3x + 2. What is the area of the
square in terms of x?
8YOS
A. 9x2 - 4
exS)(-x)
C. 9x + 4
D. 9X2 + 12x + 4
B. 9x2 + 6x + 4

Answers

Answer:

D. 9x^2 + 12x + 4

Step-by-step explanation:

A pizza slice is cut into 8 equal slices.
a. What fraction of the pizza is each slice?
b.Mandy eats 2 slices. What fraction of the pizza did Mandy eat?
c. Use multiplication to explain how you found the answer to b.

Answers

Answer:

a. 1/8

b. 1/4

c. She ate 2 out of the 8 pieces if you divide both by 2 you get 1 and 4 to make it the fraction 1/4

Step-by-step explanation:


A teacher wrote the following set of numbers on
the board:
20 b = 2.5
Explain why a +b is irrational, but b + c is rational.
a= V20
C= 225

Answers

Answer:

Did you copy this down correctly?

Step-by-step explanation:

b = .125 which is rational

a is irrational because the square root of a prime number is irrational.

If c = 225....

then adding 2 rational numbers = rational sum

But adding (or multiplying) an irrational number to a rational number = irrational number.

The a +b is irrational because  the sum of rational and irrational number is 'a' irrational number and  b + c is rational because adding two rational number is rational, as c is the rational number.

What is an irrational number?

It is defined as the numbers in all real numbers which cannot be represented as rational numbers, in other words the irrational number cannot be expressed in the form of p/q form.

A rational number is a sort of real number that has the form p/q and does not equal zero.

We have:

20b = 2.5

b = 0.125

a = √20

c = 225

= a + b

= √20 + 0.125

Here 'a' is irrational because the square root of a prime number is irrational.

And b is the rational number

The sum of rational and irrational number is 'a' irrational number.

= b + c

= 0.125 + 225

b = 0.125 which is rational

Adding to rational number is rational, as c is the rational number.

Thus, the a +b is irrational because  the sum of rational and irrational number is 'a' irrational number and  b + c is rational because adding two rational number is rational, as c is the rational number.

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find the quotient 3 divided by 1/4​

Answers

Answer:

12

Step-by-step explanation: multiply straight across, yes that's how you do it. you factor the numerator and denominator and cancel the common factors.

Choose the solution to this inequality.
72≥b+95
b≥25
b≤1710
b≤−23
b<227

Answers

Step-by-step explanation:

I hope this helped:) answer # c.

he trans pacific express projects 11,000 mile in telecommunications cable under the pacific ocean connecting the US eastern asia. the cost of the project was about $500 million. write and solve an equation to find the cost per mile to the nearest dollar

Answers

Answer:

you need to make it an actual problem

Answer:

500 million / 11,000 = 45,454.5455

Step-by-step explanation:

8. Kayla's kite string was too long so her dad cut off 10 inches. Now the string is 40 inches
long. How long was it at first?

Answers

It was originally 50 inches long.

Let’s call the original length L
L - 10 = 40
Add 10 to both sides of the equation
L = 50

please solve this question?

Answers

Answer:

read it.

Step-by-step explanation:

a b c easy as 1 2 3

PLSSS HELPPPP
What is the surface area of this triangular prism rounded to the nearest tenth?

Answers

Answer:

Might be 41.328cm3 but not 100 percent sure

pls pls pls pls helpppppp

Answers

Answer:

33 please brainliest

Step-by-step explanation:

Answer:

They receive 33 calls in 11 hours.

Step-by-step explanation:

If they recieve 18 calls in 6 hours that means that each out they get...

18 / 6 = 3 calls

If the get 3 calls each our, that means that in 11 hours they will get...

3 x 11 = 33 calls

What percent of 100 is 25? (this is a percent proportion question) (use:
%/100 = is/of) *

Answers

Answer:

25%

Step-by-step explanation:

to get percent divide 25 by 100.

25/100=.25

Answer:

25/100 is 25%

Step-by-step explanation:

I’m confused on this question

Answers

Answer:

63

Step-by-step explanation:

A triangle always has a total of 180 degrees

Since we know two we can solve for x

76+41+x=180

x=63

Answer:

63

Step-by-step explanation:

Basically there is 180 degrees in every triangle. So all you do is

180-76=104

104-41= 63

so your answer is 63 degrees.

Evaluate expression: -5a -b for a= -6 and b= 3

Answers

Answer:

27

Step-by-step explanation:

-5a = -5×-6= 30

30-b=30-3=27

the value of the car when it was purchased was

Answers

32,000 it looks like

Answer:

A) 32,000

Step-by-step explanation:

The value of the car when it was purchased would be at 0 years. So, if you go to 0 years and go up the line, you will get your answer of $32,000.

Please help this is due TODAY

Calculate the unknown variable value .


Do not answer with a one answer, blank or a ridiculous answer please this is serious.

Answers

Answer:

a= 38°

b=52°

c=40°

Step-by-step explanation:

hope it helped:)))))))))))))))))))

Monique runs 1/4 mile five times a week. How many miles does she run each week?

Answers

Monique runs 1 and 1/4 miles each week.

Monique runs 1/4 mile five times a week. To determine the total number of miles she runs each week, we can multiply the distance she runs per day by the number of days she runs.

If Monique runs 1/4 mile five times, it means she runs 1/4 mile per day. To calculate the total weekly distance, we can multiply 1/4 mile by 5 days. 1/4 mile multiplied by 5 gives us 5/4 miles. Therefore, Monique runs 5/4 miles each week.

To simplify the fraction, we can divide the numerator (5) by the denominator (4). The result is 1 and 1/4. So Monique runs 1 and 1/4 miles each week.

In summary, Monique runs 1 and 1/4 miles per week based on her daily distance of 1/4 mile, repeated five times.

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help please
Find the area of a regular hexagon with an apothem 8.7 centimeters long and a side 10 centimeters long. Round your answer to the nearest tenth.

Answers

Answer:196.65

Step-by-step explanation:

Question 9
10 pts
The perimeter of a triangle is 30 inches. After a dilation, the perimeter is 6
inches. What is the scale factor of the perimeter?
Write your answer like this: Write the scale factor as a fraction: a/b

Answers

Scale factor is 5/1 I believe

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 10^7 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 10^8kilometers. About how many more kilometers is the distance of Earth from the Sun than the distance of Mercury from the Sun?

 4.3 ⋅ 10^7 kilometers 
9.2 ⋅ 10^7 kilometers 
9.2 ⋅ 10^8 kilometers 
5.7 ⋅ 10^9 kilometers​

Answers

Answer is I. The link above

in OPQ the measure of Q is 90 the measure of O is 46 and QO 34 feet what is the length of OP to the nearest tenth of a foot

Answers

Answer: 48.9

Step-by-step explanation:

i just did it on delta math

Joe mowed 1 1/2 lawns in 2 1/2 hours. How many lawns can Joe complete in 6 hours?

Answers

Answer:

3 3/5 lawns

Step-by-step explanation:

find out how much OF a lawn he mows within an hour. multiply that by the number of hours.

he mows 0.6 lawns/hr; he mows for 6 hours

1.5/2.5=0.6

0.6 x 6 = 3.6 or 3 3/5


5th grade math. correct answer will be marked brainliest

Answers

Answer:true

Step-by-step explanation:

Valeria bought cupcakes for her sister's birthday party. 15 cupcakes had sprinkles on top. The other 35 cupcakes did not have sprinkles. What percentage of the cupcakes had sprinkles?​

Answers

The answer is 30% (30 percent)
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