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sleet_krkn [62]
4 years ago
12

HELP PLEASE Factor each expression. Show your work. g2 – 9

Mathematics
1 answer:
Arlecino [84]4 years ago
8 0
Q^2 - 9 = (q + 3)(g - 3)....this is a difference of squares
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disa [49]

3(y-7)

use distributive property

3 0
3 years ago
Suppose you just received a shipment of nine televisions. Three of the televisions are defective. If two televisions are randoml
Temka [501]
<h2>Answer:</h2>

a)

The probability that both televisions work is:  0.42

b)

The probability at least one of the two televisions does not​ work is:

                          0.5833

<h2>Step-by-step explanation:</h2>

There are a total of 9 televisions.

It is given that:

Three of the televisions are defective.

This means that the number of televisions which are non-defective are:

          9-3=6

a)

The probability that both televisions work is calculated by:

=\dfrac{6_C_2}{9_C_2}

( Since 6 televisions are in working conditions and out of these 6 2 are to be selected.

and the total outcome is the selection of 2 televisions from a total of 9 televisions)

Hence, we get:

=\dfrac{\dfrac{6!}{2!\times (6-2)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{\dfrac{6!}{2!\times 4!}}{\dfrac{9!}{2!\times 7!}}\\\\\\=\dfrac{5}{12}\\\\\\=0.42

b)

The probability at least one of the two televisions does not​ work:

Is equal to the probability that one does not work+probability both do not work.

Probability one does not work is calculated by:

=\dfrac{3_C_1\times 6_C_1}{9_C_2}\\\\\\=\dfrac{\dfrac{3!}{1!\times (3-1)!}\times \dfrac{6!}{1!\times (6-1)!}}{\dfrac{9!}{2!\times (9-2)!}}\\\\\\=\dfrac{3\times 6}{36}\\\\\\=\dfrac{1}{2}\\\\\\=0.5

and the probability both do not work is:

=\dfrac{3_C_2}{9_C_2}\\\\\\=\dfrac{1}{12}\\\\\\=0.0833

Hence, Probability that atleast does not work is:

             0.5+0.0833=0.5833

4 0
4 years ago
What is the slope of the line whose equation is 12=4x−6y?
Damm [24]

Answer:

slope =4

Step-by-step explanation:

from, y=mx + c

where m is slope

8 0
3 years ago
Read 2 more answers
There is a bag filled with 4 blue and 5 red marbles. A marble is taken at random from the bag, the colour is noted and then it i
Vera_Pavlovna [14]

Answer:

2/9?

Explanation:

4+5=9

5>4

2x chance

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3 years ago
At combs store there is a 25% chance a customer enters the store within one minute of closing time. Describe the complementary e
12345 [234]
The complementary event is that a customer does not enter the store within one minute of closing, and the probability is 75%.

The complement is found by subtracting from 100%; 100-25 = 75%.
6 0
4 years ago
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