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2 years ago

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3. Twelve people work together: four of them are managers and eight of them are office workers. Two people are chosen at random

from the twelve members of the group. Calculate the probability that one is a manager and one is an office worker.

1 answer:

kirill [66]2 years ago

8 0

Answer:

2/9

Step-by-step explanation:

8/12 you pick an office worker

4/12 chance you pick a manager

8/12 multiplied by 4/12 is 32/144

We can simplify this to 16/72

We can simplify this to 8/36

We can simplify this to 4/18

We can simplify this to 2/9

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Simplify the product using FOIL. (3x + 4)(2x – 6)

Arturiano [62]

Answer:

6x^2 - 10x - 24

Step-by-step explanation:

Do 3x times 2x which is 6x^2
Do 3x times - 6 which is -18x
Do 4 times 2x which is 8x
Do 4 times - 6 which is - 24
You get 6x^2 - 18x + 8x - 24
Simplyify to get the answer

5 0

4 years ago

Read 2 more answers

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

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

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Readme [11.4K]

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

$\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}$

8 0

3 years ago

ANSWER ASAP<br><br> x+4.5<br><br> x= 1.2<br><br> A: 3.3<br> B: 6.7<br> C: 5.7

swat32

Answer:

C.5.7

Step-by-step explanation:

plug in the x value then add 4.5 to 1.2 and booyyah

6 0

3 years ago

Help me with this plz

djyliett [7]

Ok what do u need help with?

7 0

3 years ago