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soldi70 [24.7K]
2 years ago
8

Please Solve 8=1/3(a+5)

Mathematics
2 answers:
olga2289 [7]2 years ago
7 0

Answer:

a=19

Step-by-step explanation:

8=1/3(a+5)

To solve for a, multiply each side by 3

3*8=3*1/3(a+5)

24 = a+5

Subtract 5 from each side

24-5 = a+5-5

19 =a

e-lub [12.9K]2 years ago
6 0

Answer:

a = 19

Step-by-step explanation:

Given the equation of:

\displaystyle{8 = \dfrac{1}{3}(a+5)}

First, multiply both sides by 3. That will clear the denominator which makes it easier to solve for a variable:

\displaystyle{8 \cdot 3= \dfrac{1}{3}(a+5) \cdot 3}\\\\\displaystyle{24= a+5}

Subtract both sides by 5 to isolate the variable:

\displaystyle{24-5=a+5-5}\\\\\displaystyle{19=a}

Therefore, the value of a is 19.

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A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
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Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes 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 successes.

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:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

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

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

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Answer:

rational

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