Ask question

Ask question

All categories

2 years ago

10

A game involves rolling a fair six-sided die. If the number facing upward on the die is a whole number multiple of three, the pl

ayer wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. What is the expected value of a players winnings on each roll.

2 answers:

tamaranim1 [39]2 years ago

7 0

Answer:

$30

Step-by-step explanation:

Multiples of 3: 3,6

Expected profit:

⅙(3×20) + ⅙(6×20) + 0

10 + 20 + 0

30

sweet-ann [11.9K]2 years ago

5 0

Answer:

E = 0 x (4/6) + 60 x (1/6) + 120 x (1/6) = 30

Step-by-step explanation:

You might be interested in

A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to d

Troyanec [42]

Answer:

$b_2 = -2.5$

Step-by-step explanation:

Given

$\frac{1}{2}(4.5 + b_2) * 6 = 21$

Required

Determine the value of T

$\frac{1}{2}(4.5 + b_2) * 6 = 21$

Multiply both sides by 2

$2 * \frac{1}{2}(4.5 + b_2) * 6 = 21 * 2$

$(4.5 + b_2) * 6 = 42$

Divide through by 6

$4.5 + b_2 = 42/6``$

$4.5 + b_2 = 7$

$b_2 = 7 - 4.5$

$b_2 = -2.5$

6 0

2 years ago

the table shows different ways that cameron can display his 12 model cars on shelves. How many shelves will display 2 cars if 8

Lera25 [3.4K]

Answer:

4 shelves

Step-by-step explanation:

if there is 8 shelves that display 1 car then that means there is 8 cars total.

so if you need a total of 12 cars then you would do (total of cars needed - total of cars you have).

(12-8) which would equal 4.

you need 4 cars left but on each shelf going forward needs to have 2 cars on it.

now since you have 4 cars you would divide that by the amount of cars on each shelf going forward.

4/2) which equals 2.

you need 2 more shelfs for the 4 cars needed.

3 0

2 years ago

Explain how to find the product of 3/8 x 7/9 .Use complete sentences in your answer.

saw5 [17]

Answer:

When multiplying fractions together, you multiply the numerators togethers and the denominators together, unlike adding fractions together. To find this answer, you'd do 3 × 7 (for the numerator) and 8 × 9 (for the denominator), and then write the fraction (the answer) using your answers above.

I hope this helps!

7 0

2 years ago

when 1580 is divided into 13 equal parts, the remainder is 7. What is the correct way to write the quotient

Alisiya [41]

_121_ R7 or 121 7/13
13)1580
13
28
26
20
13
7

5 0

2 years ago

Read 2 more answers

Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

2 years ago