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Ahat [919]
3 years ago
13

The employees of a company were surveyed on questions regarding their educational background (college degree or no college degre

e) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is married and has a college degree is?
Mathematics
1 answer:
Lana71 [14]3 years ago
5 0

Answer:0.68

Step-by-step explanation:

Given

Total of 600 employees out of which 400 had college degree ,100 are single

and 60 were single graduates

therefore out of 100, 60 were single and rest 40 are single undergraduate

and out of 400, 60 were single graduates thus 340 are married graduate.

Now out of 600, 100 were single i.e. 500 is married

thus Probability that an employee is married and has a college degree is

=\frac{Favourable outcome }{Total outcome}

P=\frac{340}{500}=0.68  

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The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.

Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5

... x = 40 . . . . . . . . . . . . . . . . . . . add 40

  • 40 kg is left in the first bag
  • 80 kg is left in the second bag

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<u>Check</u>

The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.


4 0
3 years ago
Helpp meeee i don't understand constant of proportionality (don't put pictures i can't see).
Vikentia [17]

Answer:

A) 1/5

Step-by-step explanation:

Points on the graph: (10, 2) and (20, 4)

Slope:

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m=(4-2)/(20-10)

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m = 1/5

8 0
2 years ago
Kwan's parents bought a home for $50,000 in 1997 just as real estate values in the area started to rise quickly. Each year, thei
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A. First let us start with the linear model.

The equation is in the form of y = m x + b

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m = (309,587 – 50,000) / (2007 – 1997)

m = 25,958.7

 

Subsituting:

y = 25,958.7 x + b

Taking x = 1997, y = 50,000. Solve for b:

50,000 = 25,958.7 (1997) + b

b = -51,789,523.9

 

The complete equation is therefore:

y = 25,958.7 x - 51,789,523.9

 

 

B. The exponential model has the following form:

y = a b^x

where a and b are constants

 

Taking x1= 1997, y1 = 50,000; x2 = 2007, y2 = 309,587

50,000 = a b^1997

309,587 = a b^2007

 

Combining in terms of a:

50,000 / b^1997 = 309,587 / b^2007

b^2007 / b^1997 = 309,587 / 50,000

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Substituting:

y = a 1.2^x

 

Solving for a:

50,000 = a 1.2^1997

a = 3.75 x 10^-154

 

The complete equation is:

y = 3.75 x 10^-154 * 1.2^x

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3 years ago
2.25(a+1.3)=20.7 what is the value of a ? ​
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Answer:

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Step-by-step explanation:

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djverab [1.8K]

Answer:

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Step-by-step explanation:

8 percent of 5000 is 400 times 3 (years) is 1200

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