a= 6-2b-3c
then put that equation inside the first one and then the second one
you get -6*(6-2b-3c)+2b-3c=23
and 5*(6-2b-3c)+4b-3c=-12
14b-15c=59
14b-18c=18/*(-1)
--------------------
3b=41
Answer:
Cameron is 18. Celestria is 24.
Step-by-step explanation:
Ca + Ce = 42
Ce = 2(Ca) - 12
Plug in Ce to first equation.
Ca + (2(Ca) - 12) = 42
Ca + 2Ca - 12 = 42
3Ca - 12 = 42
3Ca = 54
Ca = 18
Cameron is 18.
Plug in Cameron's age into either equation.
18 + Ce = 42
Ce = 24
Celestria's age is 24.
Rectangle area = long edge × short edge
= (2+3x).(x-4)
= 2x-8+3x²-12x
= 3x²-8-10x
= 3x²-10x-8
C chic
Answer:
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 500 and the standard deviation is 100.
95% of the scores of students would fall within two standard deviations.
2 standard deviations = 2 × 100 = 200
500 - 200 = 300
500 + 200 = 700
Therefore, the probability that a randomly selected student math score is between 300 and 700 is
95%
