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3 years ago

1/2h + 9 = 17 solve for h

Mathematics

1 answer:

tamaranim1 [39]3 years ago

6 0

Answer:

1/2h+9=17

We move all terms to the left:

1/2h+9-(17)=0

Domain of the equation: 2h!=0

h!=0/2

h!=0

h∈R

We add all the numbers together, and all the variables

1/2h-8=0

We multiply all the terms by the denominator

-8*2h+1=0

Wy multiply elements

-16h+1=0

We move all terms containing h to the left, all other terms to the right

-16h=-1

h=-1/-16

h=1/16

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3 years ago

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Answer:

0.055 = 5.5% probability that exactly 5 employees were over 50.

Step-by-step explanation:

The employees are removed from the sample 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:

7 + 18 = 25 employees, which means that $N = 25$

7 over 50, which means that $k = 7$

10 dismissed, which means that $n = 10$

What is the probability that exactly 5 employees were over 50?

This is P(X = 5). So

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

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3 years ago

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Here:
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