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3 years ago

X + 7 1/3 = 18 2/3 what is the value of x

Mathematics

1 answer:

aivan3 [116]3 years ago

7 0

Answer:

Step-by-step explanation:

$x+7\frac{1}{3}=18\ frac{2}{3}\\ \\ x+\frac{22}{3}=\ frac{56}{3}\\ \\ x=\frac{56-22}{3}\\ \\ x=\frac{34}{3}\\ \\ x=11\frac{1}{3}$

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10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of p

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Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that $N = 92$

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3 years ago

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lorasvet [3.4K]

Answer:

$h^{2}$ + $6^{2}$ = $8^{2}$

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Step-by-step explanation:

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