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Alecsey [184]
3 years ago
12

in a company 95% of the company are female. if 275 males work for the company what is the total number of employees

Mathematics
1 answer:
Andreyy893 years ago
4 0
95% are female.

It means (100% - 95%)  are male.  5% are male.

275 are males.

Let total be x.

5%  of x  = 275

(5/100) * x  = 275

x  =  275 * 100/5

x = 275* 20 = 3700

Total = 5500
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makkiz [27]

Answer:

The Prime Factorization is:

2 x 2 x 5 x 5

In Exponential Form:

22 x 52

CSV Format:

2, 2, 5, 5

6 0
3 years ago
What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
Ken's fitness member ship cost $100 to join plus a $25 monthly fee. Ken also used a coupon to get 10% off the monthly fee. What
GREYUIT [131]

The equation that models the total cost is y = 100 + 22.5m

Step-by-step explanation:

Fitness member ship cost = $100

Monthly fee = $25

Discount = 10% on monthly fee

To calculate new monthly fee after discount,  

25 - (25*10%) --> 25 - 2.5 --> $22.5

Number of months = m

Fee in m months = 22.5*m = 22.5m

<u>Equation:</u>

(c) is constant which is the membership fee

(x) is the monthly fee $22.5

(m) is the number of months

(y) is the total cost

So,

y = mx + c

y = m(22.5) + 100

y = 100 + 22.5m

Therefore, the equation that models the total cost is y = 100 + 22.5m

Keyword: Equation

Learn more about equations at

  • brainly.com/question/8955867
  • brainly.com/question/10708697

#LearnwithBrainly

5 0
3 years ago
What is the volume of a hemisphere that
ch4aika [34]

<u>Given</u>:

Given that the diameter of the hemisphere is 12.6 cm

The radius of the hemisphere is given by

r=\frac{d}{2}=\frac{12.6}{2}=6.3

We need to determine the volume of the hemisphere.

<u>Volume of the hemisphere:</u>

Let us determine the volume of the hemisphere.

The volume of the hemisphere can be determined using the formula,

V=\frac{2}{3} \pi r^3

Substituting the values, r = 6.3 and π = 3.14, we have;

V=\frac{2}{3} (3.14)(6.3)^3

Simplifying the values, we have;

V=\frac{2}{3} (3.14)(250.047)

V=\frac{1570.29516}{3}

Dividing, we have;

V=523.43172

Rounding off to the nearest tenth, we get;

V=523.4

Thus, the volume of the hemisphere is 523.5 cm³

6 0
2 years ago
What is the answer to the math problem 18 minus 4x = negative 2?
pentagon [3]
The answer to this equation is 5.
3 0
3 years ago
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