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2 years ago

6

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?

1 answer:

lorasvet [3.4K]2 years ago

6 0

You need at least thirteen dice.

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How many ounces of 50% alcohol solution must be mixed with 80 ounces of a 20% alcohol solution to make a 40% alcohol solution?

Paraphin [41]

X = amount of 50% solution
y = total amount after mixing

Note that the amount of alcohol in the 20% solution is 80 (0.2) = 16 oz.

We have 2 unknowns, so we need 2 equations:
first, we can write the equation for the total volume:
y = x + 80

next, apply the percentages to get an equation for the amount of alcohol:

0.4 y = 0.5 x + 16

Finally, solve the pair of equations (in this case, by substitution of the 1st into the second:
0.4 (x + 80) = 0.5x + 16
0.4 x + 32 = 0.5X + 16
rearrange and combine like terms:
0.1x = 16
x = 160
from the 1st equation:
y = 160 + 80 = 240

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2 years ago

A coin is tossed 6 times, what is the probability of getting six tails?

Leno4ka [110]

0.5^6 = 0.0156

Assuming an unbiased coin.

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3 years ago

Read 2 more answers

What is 340 divided by 20?

Rufina [12.5K]

The answer to the problem is 17

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3 years ago

Find three consecutive odd integers such that the sum of the smallest and four times the largest is 61. Please list the numbers

Kipish [7]

Answer:

$9,11,13$

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be $x,x+2,x+4$ .

According to question,

$x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9$

So, the integers are $x=9,x+2=9+2=11,x+4=9+4=13$

Numbers from least to the greatest: $9,11,13$

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3 years ago

The sum of two numbers must be 14 or greater. The product of the two numbers must be less than 40. Which system of inequalities

Anettt [7]

Answer:

A

Step-by-step explanation:

x+y≥14

xy<40

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3 years ago