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lys-0071 [83]
2 years ago
6

The ratio of men to women working for a company is 8 to 5. If there are 234 employees total, how many women work for the company

?
Mathematics
2 answers:
Aloiza [94]2 years ago
7 0

Answer:

87 men

145 women

Step-by-step explanation:

8 to 5

8x+5x=234

8x=234

x=234/8

x=~29

3*29=87 men

5*29=145 women

Dimas [21]2 years ago
3 0

Answer:

144

Step-by-step explanation:

The ratio of men to women working for a company is 8 to 5.

Total men and women working as per the ratio is 8+5 = 13

So the ratio of men to total  is  

the ratio of women to total  is  

there are 234 employees total

To find the number of men works , we make a proportion

Cross multiply it

8 * 234 = 13x

1872 = 13x

Divide by 13 on both sides

x= 144

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Percent decrease from 20 to 11
nevsk [136]

Answer:

45 percent

Step-by-step explanation:

20-11=9

9 divided by 20= 0.45

0.45 x 100= 45%

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3 years ago
HELP PLEASE !!!!!!!!!!
Arada [10]

Answer:

Answer B   (-\infty,1)U(1,2]

Step-by-step explanation:

Notice that the quotient of f(x)/g(x) is:

h(x)=\frac{\sqrt{2-x} }{x-1}

therefore, this new function imposes conditions due to the fact that it has a square root in the numerator and a binomial in the denominator both with the variable x. Then, in order for the root in the numerator to be defined, the argument inside the root must be larger than or equal to zero. That is:

2-x\geq 0\\2\geq x\\x\leq 2

So, this condition must be satisfied by the x-values of the domain.

Then we have the binomial in the denominator, which in order to be defined needs to be different from zero. Notice that the only x-value that could cause problems (render zero) is:

x-1=0\\x=1

Then, x\neq 1

So we have to eliminate the number 1 from the previous subset that required x smaller than or equal to 2.

The way to represent this Domain is then:  (-\infty,1)U(1,2]

8 0
3 years ago
Find the area of the shape <br> with the radius of 10
lukranit [14]

Answer: 314.16

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3 0
3 years ago
shape ABCDEF is an irregular hexagon. prove that the sum of the shape is720 degrees. show ur working. (3marks)​
guajiro [1.7K]

Answer:

Here's one way to do it  

Step-by-step explanation:

Divide the hexagon into triangles, for example, as in the diagram below.

The triangles are all inside the hexagon, so the sum of their interior angles is the sum of those of the hexagon.

The sum of the interior angles of a triangle is 180°.

There are four triangles, so

Sum of interior angles = 4 × 180° = 720°

8 0
3 years ago
Suppose lightning strikes at an average of 1.4 strikes per minute during a particular storm. You play the following game: if the
ZanzabumX [31]

Answer:

$3.25

Step-by-step explanation:

Given that:

Mean, λ = 1.4

Strike within next minute = $3 won

Strike between one and 2 minutes = $5

Strike more than 2 minutes = $1

Probability that next strike occurs within the next minute :

Using poisson :

P(x < 1) = 1 - e^-(λx) ;

P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4

P(x < 1) = 1 - 0.2465969

P(x < 1) = 0.7534030

Next strike occurs between 1 and 2 minutes :

(1 < x < 2) :

P(x < 2) - P(x < 1)

P(x < 2) = 1 - e^-(λx) ;

P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8

P(x < 2) = 1 - 0.0608100

P(x < 2) = 0.9391899

P(x < 2) - P(x < 1)

0.9391899 - 0.7534030 = 0.1857869

P(striking after 2 minutes)

P(x > 2) = e^-(λx) ;

P(x > 2) = e^-(1.4*2) = e^-2.8

P(x > 2) = 0.0608100

Amount charged :

(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)

= 3.2499

= $3.25

4 0
3 years ago
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