five dice are thrown simultaneously. find the number of outcomes in which at most one of the dice shows 5?

Answers

Answer 1

Answer: P(obtaining 5 in one die) = 1/6
P (obtaining 5 in five dice) = (1/6) x 5
= 5/6

Related Questions

Which is the intersection of the sets {1, 4, 8, 9} and {2, 4, 7, 9, 11}?{4, 9} {1, 2, 7, 8, 11} null set {1, 2, 4, 7, 8, 9, 11}
Pls help me i dont know how to do this pls answer ASAP
Mr. Smith went to buy a refrigerator. He had $346. The refrigerator cost $783.Part AAbout how much more money does Mr. Smith need in order to buy the refrigerator?Round your answer to the nearest hundred dollars.Part B After visiting the bank ,Mr.Smith paid $800 for the refrigerator.How much change did he receive Mr.Smith receive in change ?
Fran brings home $225 per week working 15 hours of which she is able to save $40. Fran wants to have $1,400 saved at the end of 20 weeks. She may work up to 18 hours per week if she wants. She can save all of the money earned working the extra hours. Which of the following statements is true?a.Fran will meet her goal working 15 hours per week.b.Fran must work 17 hours per week to meet her goal.c.Fran must work 18 hours per week to meet her goal.d.Fran will not be able to reach her goal.
Determine the rate at which Philip traveled during the second part of his trip.Philip drives for 4 hours at a rate of 50 miles per hour. Later, he drives for another 3 hours so that his total distance traveled for the day is 365 miles. What is the solution set for 4(50) + 3r = 365 given the replacement set {52, 53, 54, 55}? A. 52 B. 53 C. 54 D. 55

What is the area of a square with sides of length 6?

Answers

Answer:

Step-by-step explanation:

6 squared

Answer:

A= 36

Step-by-step explanation:

1. Christopher wants to invest $6200 in a retirement fund that guarantees a return of 9% annually using continously compounded intrest. How much will he have after 20 years?a) $6002.82
b) $25164.10
c) $37507.81
d) $556342.35

2. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 5 years.
a) $3766.54
b) $3211.99
c) $3980.50
d) $4560.60

3. You invest $2,600 into a savings account with a 4.25% annual interest rate that compounds interest quarterly. Determine the balance on the account after 50 years.
a) $21,526.87
b) $22,998.70
c) $20,450.10
d) $24,548.33

4. Stock Texas has a price of $156 per share when Bond Austin has a price of $23 per bond. Use an equation modeling the inverse variation between the stock and bond prices to predit the price of stock Texas when bound austin is worth the following: $68.74
a) $59.33
b) $48.115
c) $57.75
d) $52.20

5. What will be your total investment from an annuity of $500 per year compounded continuously earning 8% for 6 years?

Answers

1. Continuously compounded formula is given by:
A=Pe^rt
Thus given:
P=$6200, r=0.09, t=20 years:
A=6200e^(0.09*20)
A=37,507.81

Answer: c] $37507.81

2. Compound interest formula is given by:
A=p(1+r/100n)^(nt)
where: n=number of terms, p=principle, t=time, r=rate
Plugging the values in the formula we get:
A=2600(1+4.25/4*100)^(4*5)
simplifying this we get:
A=$3211.99

Answer: b)$3211.99

3. Using the formula from (2) we have:
A=P(1+r/100n)^nt
plugging in the values we get:
A=2600(1+4.25/400)^(50*4)
Simplifying the above we get:
A=$21526.87

Answer:
A] $21,526.87

4. The price of stock when the bond is worth $68.74 will be:
let the bond price be B and Stock price be S
thus
S=k/B
where
k is the constant of proportionality
thus
k=SB
hence
when S=$156 and B=$23
then
K=156*23
K=3588
thus
S=3588/B
hence
the value of S when B=$68.74
thus
S=3588/68.74
B=52.19668~52.20

Answer: d] $52.20

5. Continuously compounded annuity is given by:

FV =CF×[(e^rt-1)/(e^r-1)]
plugging in the values we get:
FV=500×[(e^(6*0.08)-1)/(e^0.06-1)]
simplifying this we get:
FV=$3698.50

What would you assume at the beginning of an indirect proof for the following?A number divisible by 2 is even. The number 13 is not even.

A. Even numbers are not divisible by 2
B. Even numbers are divisible by 2
C. The number 13 is not even
D. The number 13 is even

Answers

The begging for inderict proof is that The number 13 is even.

I took the test and got D) Correct

{16x+y = 4.25
16.90x + 4y = 36.35
1. What does the solution to the system represent?

Answers

Answer:

See below.

Step-by-step explanation:

It represents the coordinates of the point of intersection of the lines represented by the 2 equations.

Do you want them solved?

Answer correct for brainliest and also get a thanks !:-) answer A and B!

Answers

a) your iterative rule would be: 22,28,34,40....... it is because there are 22 in first row and it is increasing by 6 at each step....

b) Now, a(n) = 100, a=22, d=28-22 = 6

we know, a(n) = a+(n-1)d

100 = 22+(n-1)6

100-22 = 6n-6

78+6 = 6n

n = 84/6

n= 14

(Permutations) what is he value of 8C6?

Answers

8C6 = 8!/[6!(8-6)!] = 56/2 = 28

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