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egoroff_w [7]
3 years ago
10

I have an unlimited supply of standard 6-sided dice. What's the fewest number of dice that I have to simultaneously roll to be a

t least 90% likely to roll at least one 6?
You may use a calculator to help you with the computations if you like -- in fact you'll almost certainly want to -- but your final answer should be a positive integer, and you should explain how you got it.
Mathematics
2 answers:
Bess [88]3 years ago
6 0

What does the "In" mean when, for example, you say (In5/6)

katrin2010 [14]3 years ago
4 0
P( rolling 6) = 1/6
P(NOT rolling 6) = 5/6
P(AT least one 6) = 1 - 5/6
P(After x number of trials to obtain at least one 6) = 0.9
Then 0.9 = 1 - (5/6)ˣ

0.9 - 1 =  - (5/6)ˣ
- 0.1 =  - (5/6)ˣ   → (5/6)ˣ = 0.1

x(ln 5/6) = ln(0.1)

x = ln0.1) / ln(5/6)  = 12.63 ≈ 13 times

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3x-y+2=0 in rectangle form
kotegsom [21]

Complete Question:

Convert 3x-y+2=0 in rectangle form to polar form

Answer:

r ( 3cosθ - sinθ) = -2

Step-by-step explanation:

The equation so given is already in rectangular form, the task is to convert it to polar form.

3x - y + 2 = 0

To transform an equation from the rectangular to the polar coordinate:

x = r cosθ

y = r sinθ

Substitute the representations for x and y into the given equation:

3(r cosθ) - (r sinθ) + 2 = 0

3rcosθ - rsinθ = -2

The polar representation of the equation then becomes:

r ( 3cosθ - sinθ) = -2

8 0
3 years ago
2x + 8 = -4 solve for c<br> Show work please
andrew-mc [135]

Answer: x=-6

Step-by-step explanation:

Given

2x + 8 = -4

Subtract 8 on both sides

2x + 8 - 8 = -4 - 8

2x = -12

Divide 2 on both sides

2x / 2 = -12 / 2

x = -6

NOTE: I assume the questions "solve for c" actually means "solve for x"

Hope this helps!! :)

Please let me know if you have any questions

7 0
2 years ago
Please help asap! Will give brainliest! Please answer correctly!
mart [117]

Answer:

As number of gallons of gas minus 9 leaves 3 gallons, denote g as number of gallons: g - 9 >=3.

Then g>= 12

4 0
3 years ago
A rental moving truck can haul a maximum of 7,500 pounds. Dejuan has boxes that weigh 40 pounds and boxes that weigh 75 pounds.
Lelechka [254]

Answer:

One hundred and fifty 40 pounds boxes and twenty 75 pounds boxes

Step-by-step explaination:

The maximum amount he can haul in one load is 7500 pounds

150 × 40 pounds boxes = 6000 pounds

20 × 75 pounds boxes = 1500 pounds

6000 pounds + 1500 pounds = 7500 pounds

8 0
3 years ago
A store is having a sale on used video game. Each game cost $12. Write an algebraic expression to represent the cost of buying v
alexandr1967 [171]
The algebraic expression you would write is 12v
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3 years ago
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