Answer:
the solutions are 1 and -7
Step-by-step explanation:
first add 14 to both sides
2x²+12x=14
2(x²+6x)=14 now find half of 6x and square it, then add it to both sides
2(x²+6x+9)=14+18(9 was multiplied by 2)
no factor
2(x+3)²=32 divide both sides by 2
(x+3)²=16 square root both sides
x+3=+/- 4 subtract 3
x= 4-3=1
x= -4-3=-7
Angle BAC is 75 because you subtract 27 from 102.
Answer:
The probability distribution of the number of customers that enter the store on a given day is:

Step-by-step explanation:
To calculate a parameter for the given day, we have to calculate what is the average arrival rate for the day.
This can be done with the data given:
1) From 10 to 12, 8 arrival/hour: 16 expected arrivals in this period
2) From 12 to 2, 8 to 12 arrival/hour (average: 10 arrivals): 20 expected arrivals in this period.
3) From 2 to 5, from 10 to 4 arrival/hour (average: 7 arrivals): 21 expected arrivals in this period.
The total expected arrivals in a day are: 16+20+21=57 arrivals/day.
Then, the probability distribution of the number of customers that enter the store on a given day is:

Answer:
The angles of both figures are listed in the same order. The first angle of the first one is congruent to the first angle of the second, and the second angle of the first one is congruent to the second angle of the second figure, and so on.
Step-by-step explanation:
You have a repeated 'F' in naming the first figure, so I think you made an error. But the rule in my answer is true and you can apply it.