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Tom [10]
3 years ago
8

katie is baking cookies. the recipe calls for 3 eggs for every 2 cups of sugar. She will need 12 eggs.

Mathematics
1 answer:
asambeis [7]3 years ago
7 0
She will need 8 cups because if u multiply 3 x 4 = 12 and multiply 2x 4 and that gives you 8
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[See Below]

Step-by-step explanation:

✦ Divide by -2 on each side:

  ✧ -2 / -2 = Cancels Out

  ✧ -6 / -2 = 3

So x would be 3, -3.

- |x| Just means absolute value. Which in short just means if it's negative it becomes positive.

~<em>Hope this helps Mate. If you need anything feel free to message me. </em>

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A k out of n system is one in which there is a group of n components, and the system will function if at least k of the componen
Solnce55 [7]

Answer:

0.9606 = 96.06% probability that the system will function tomorrow

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works, or it does not. Components are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

Probability of a component working:

0.7 of 0.2(rain)

0.9 of 1 - 0.2 = 0.8(no rain). So

p = 0.7*0.2 + 0.9*0.8 = 0.86

0.86 - 86% probability that the system will function tomorrow

6 components:

This means that n = 6

What is the probability that the system will function tomorrow

This is

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{6,4}.(0.86)^{4}.(0.14)^{2} = 0.1608

P(X = 5) = C_{6,5}.(0.86)^{5}.(0.14)^{1} = 0.3952

P(X = 6) = C_{6,6}.(0.86)^{6}.(0.14)^{0} = 0.4046

P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.1608 + 0.3952 + 0.4046 = 0.9606

0.9606 = 96.06% probability that the system will function tomorrow

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2 years ago
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rusak2 [61]

The roof is Approximately 7 inches wide because 756/108=7

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