Step-by-step explanation:
8x-9=5x-3
Move any equation to the opposite side. I'll use the left this time


move 6 to opp side



The factors for given equation f(x)=
.
- (x-1) - No
- (x-3) - No
- (x+3) - Yes
- (x-5) - Yes
- (x+5) - Yes
<u>Step-by-step explanation:</u>
The given equation is f(x)=
.
Add 0 at the end of the equation.
= 0.
Let us group the given equation,
=0.
⇒ Group 1:
.
Group 2:
.
Pull out factor from each group,
⇒ Group 1:
.
Group 2: (x+3) (-25).
Join the two group since both (x+3) is common in both groups.
=0.
One of the factor is (x+3).
Other factors are solved by the formula,
.
= (x+5) (x-5) .
The other factors are (x+5) and (x-5).
Answer:
(a) The probability of the intersection of events "man" and "yes" is 0.55.
(b) The probability of the intersection of events "no" and "man" is 0.10.
(c) The probability of the union of events "woman" or "no" is 0.45.
Step-by-step explanation:
The information provided is:
Yes No Total
Men 275 50 325
Women 150 25 175
Total 425 75 500
(a)
Compute the probability that a randomly selected employee is a man and a has retirement benefits as follows:

Thus, the probability of the intersection of events "man" and "yes" is 0.55.
(b)
Compute the probability that a randomly selected employee does not have retirement benefits and is a man as follows:

Thus, the probability of the intersection of events "no" and "man" is 0.10.
(c)
Compute the probability that a randomly selected employee is a woman or has no retirement benefits as follows:

Thus, the probability of the union of events "woman" or "no" is 0.45.
Answer:4 dozens of video games would cost $1956
Step-by-step explanation:
An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36
if each video game costs the same amount, then the cost of one video game would be
1467/36 = $40.75
The total number of video games in 4 dozens of video game would be
4 × 12 = 48
Therefore, the total cost of 48 video games would be
48 × 40.75 = $1956
Answer:
$1680
Step-by-step explanation:
To find 7% of 24000, convert 7% to a decimal and multiply. Percent means per hundred, 7% is 7/100 is .07
.07 × 24000
= 1680