Answer:
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
Step-by-step explanation:
For this problem we know that the average lion lives with a mean of and the deviation is
From the empirical rule we know that we have within one deviation from the mean 68% of the values, within two deviations 95% and within 3 deviations 99.7%. We want to find the following probability:
We can use the z score formula given by:
And replacing we got:
So we want to find the probability that the data lies below 2 deviations from the mean and using the empirical rule we got:
1) Would be c+15 because you can combine 19-4
2) Would be m+2 because you can combine 12-10
Answer:
n = 1
Step-by-step explanation:
Solve for n:
-9 (6 - 4 n) = 2 (9 n - 12) - 12 n
2 (9 n - 12) = 18 n - 24:
-9 (6 - 4 n) = 18 n - 24 - 12 n
Grouping like terms, 18 n - 12 n - 24 = (18 n - 12 n) - 24:
-9 (6 - 4 n) = (18 n - 12 n) - 24
18 n - 12 n = 6 n:
-9 (6 - 4 n) = 6 n - 24
Expand out terms of the left hand side:
36 n - 54 = 6 n - 24
Subtract 6 n from both sides:
(36 n - 6 n) - 54 = (6 n - 6 n) - 24
36 n - 6 n = 30 n:
30 n - 54 = (6 n - 6 n) - 24
6 n - 6 n = 0:
30 n - 54 = -24
Add 54 to both sides:
30 n + (54 - 54) = 54 - 24
54 - 54 = 0:
30 n = 54 - 24
54 - 24 = 30:
30 n = 30
Divide both sides of 30 n = 30 by 30:
(30 n)/30 = 30/30
30/30 = 1:
n = 30/30
30/30 = 1:
Answer: n = 1
The figure on the top left is a triangle with base 11 and height 8, for an area of
Immediately below, we have a rectangle with dimensions 11 and 9, for an area of
Moving to the right, we have a parallelogram with base 9 and heght 11, which again has height
Finally, the rightmost figure is a triangle with base 8 and height 9, for a total of
Sum these areas and you'll get the total area
<span>the conversion factor for radians to degrees is 180/pi
so -x /6 = -180x / 6pi dgrees = -30x/pi degrees</span>