Answer:
Step-by-step explanation:
1/6
Exact form is 8/7 , as a decimal its 1.142 and mixed number form its 1 1/7
Step-by-step explanation:
The mean is 27 and the standard deviation is 4.
23 is 1 standard deviation below the mean, and 31 is 1 standard deviation above the mean. According to the empirical rule, 68% of the population is between -1 and +1 standard deviations.
68% of 1200 is 816.
19 is 2 standard deviations below the mean, and 35 is 2 standard deviations above the mean. According to the empirical rule, 95% of the population is between -2 and +2 standard deviations.
95% of 1200 is 1140.
Answer:
The number of counties in state A are 70.
The number of counties in state B are 68.
Step-by-step explanation:
The number of counties in state A and the number of counties in state B are consecutive even integers whose sum is 138.
Let the two consecutive even integers be x and x+2.
As their sum is 138, we can denote this mathematically as :
Now, we get x = 68
And 
= 70
Hence, the two numbers are 68 and 70.
So, the number of counties in state A are 70.
The number of counties in state B are 68.
The original line is
4x - 2y = -12
The parallel lines will all be
4x - 2y = constant
and the constant is given by the point directly:
4x - 2y = 4(4) - 2(-4) = 24
2y = 4x - 24
y = 2x - 12
Answer: y = 2x - 12
