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lesantik [10]
3 years ago
7

Suppose 45 students in an organization are male and 55 are female. Ten females and 15 males in the organization are graduating s

tudents. What is the probability that a:
a.) student chosen at random is male or a graduating student?
b.) students chosen at random is female graduating student?
Mathematics
1 answer:
Butoxors [25]3 years ago
5 0
A.) 15/45 or 1/3 or .33%
B.) 10/55 or 2/11 or .1818...
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b

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What is numbers line x<8
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I cant draw it perfectly so please dont judje if it not helpful

Step-by-step explanation:

x<------------------------------------->infinity

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7 0
3 years ago
The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
What is the factored form of the polynomial x2-12x+27
fiasKO [112]

Answer:

(x - 9) + (x + 3)

Step-by-step explanation:

To get the correct answer when factoring the numbers must add up to be the middle variable and multiply together to be the ending original number.

8 0
3 years ago
Given a term in the geometric sequence and the common ratio find the first five terms the explicit form and the recursive formul
Pani-rosa [81]
A1 = 4
a2 = 5a1 = 5 x 4 = 20
a3 = 5a2 = 5 x 20 = 100
a4 = 5a3 = 5 x 100 = 500
a5 = 5a4 = 5 x 500 = 2,500

Tn = ar^(n-1); where a = 4, r = 5
Tn = 4(5)^(n-1) = 4/5 (5)^n
Explicit formular is Tn = 4/5 (5)^n

Recursive formular is a_{n+1} = 5a_{n-1}
5 0
3 years ago
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