A person going to a party was asked to bring 4 different bags of chips. Going to the store, she finds 13 varieties. How many different selections can she make?
(this is a probability question)

Answers

Answer 1
Answer:

"715" are the different selections she can make.

Given:

Number of different begs,

  • 4

Total number of varieties,

  • 13

So,

Total number of different selection = ¹³C₄

= (13!)/(4!* (13-4)!)

= (13!)/((4!* 9!))

= (13* 12* 11* 10)/(4* 3* 2)

= (17160)/(24)

= 715

Thus the above answer is correct.

Learn more:

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Answer 2
Answer:

Answer:

Step-by-step explanation:

13!/4(13-4)!

13!/4(9)!

Continue simplifying.

The formula for combinations n!/r!(n-r)! pay attention to class next time


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For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?​

Answers

Answer:

Price of book is 9\$

Step-by-step explanation:

Let the price of book be x and price of magazine be y

We have

2x=3y

We also have

4x+4y=60

2* 2x+4y=60\n\n2*3y+4y=60\n\n10y=60\n\ny=6\n\n2x=3*6\n\nx=9\$

Price of book is 9\$

Suppose you invest $50 a month in an annuity that earns 48% APR compounded monthly. How much money will you have in this account after 2 years?A: 2001.29
B: 751.29
C: 1954.13
D: 1536.19
Solution:
use formula P[((1+(r/n)^(nt))-1)/(r/n)]
Solution 50[((1+(0.48/12)^(2 x 12))-1)/(0.48/12)]
= C $1954.13

Answers

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. We can conclude that after 2 years you will have $1954.13 in your account.

How to solve future value?

To solve this we are going to use the formula for the future value of an ordinary annuity:

P[(((1+(r/n)^(nt)-1))/((r/n))]

where

FV is the future value

P is the periodic payment

r is the interest rate in decimal form

n is the number of times the interest is compounded per year

t is the number of years

It is given that you have invested $50 a month in an annuity that earns 48% APR compounded monthly. we need to find how much money you have in this account after 2 years.

Since the interest is compounded monthly, it is compounded 12 times per year; therefore,

r = 48% = 0.48

n = 12

Let's put the values in our formula:

P[(((1+(r/n)^(nt)-1))/((r/n))]\n\n50[(((1+(0.48/12)^(12* 3)-1))/((0.48/3))]\n\n$1954.13

Thus, We can conclude that after 2 years you will have $1954.13 in your account.

Learn more about interest here;

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C is the right answer

Please help it’s due at 5

Answers

Answer:

nei prossimi giorni, che si è svolto il convegno

How many randomly selected employers must we contact in order to create an estimate in which we are 95​% confident with a margin of error of 9​%? ​b) Suppose we want to reduce the margin of error to 4​%. What sample size will​ suffice? ​c) Why might it not be worth the effort to try to get an interval with a margin of error of 1​%?

Answers

Answer:

a)n=543

b)n=1509

c)n=13573

Step-by-step explanation:

a)

c=98%,

E=0.05

Margin Error E=Zα/2√p(1-p)/n

but n=((Zα/2)/n)²×p(1-p)

where the confidence level is 1-α=0.98

cross multiply

Zα/2=2.33

where p=0.5

input the values

n=(2.33/0.55)²×0.5(1-0.5)=543

n=0.33

b) E=0.33

E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.01 confidence level

n=(2.33/0.33)²×0.5(1-0.5)=1504

n=1504

c) E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.98

cross multiply

Zα/2=2.33

p=0.5

n=(2.33/0.01)²×0.5(1-0.5)=13573

n=13573

16 1/9+ -4 2/3 help please??

Answers

Answer:

11 4/9

Step-by-step explanation:

ANDDD the answer is

1. After you retire in 17 years your goal is to have $100,000 in your investment account that earns 8% compounded annually. How much money would you need to deposit now to reach this goal

Answers

9514 1404 393

Answer:

 $27,026.90

Step-by-step explanation:

The future value formula can be solved to find the present value required.

  FV = P(1 +r)^t . . . future value of P compounded at annual rate r for t years

  $100,000 = P(1 +0.08)^17

  P = $100,000/3.70002 . . . . divide by the coefficient of P

  P = $27,026.90

You would need to deposit #27,026.90 now to reach this goal.