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3 years ago

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

1 answer:

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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What is the prime factorization of 100 using exponent's?

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

Equation:

(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

#LearnwithBrainly

5 0

3 years ago

What is the volume of a hemisphere that

ch4aika [34]

Given:

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.

Volume of the hemisphere:

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