Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.
The score that cuts off the bottom 2.5% is 48.93.
Answer:
x = 7
Step-by-step explanation:
A, B, and C are collinear B is between A and C.
AC = AB + BC
2x + 1 = x + 4 + 2x - 10
2x + 1 = 3x - 6
2x - 3x = - 6 - 1
- x = - 7
x = 7
I think its A. There is a peak in the orders from 6 to 10 pounds
Answer:
1) n = 39916800
2) n = 1663200
3) n = 330
Step-by-step explanation:
1) If the blue balls are distinguishable as are the red balls
Then you can arrange these balls in the following ways, we must use a permutation
In totally we have 11 balls, then
n = 11P11
2) If Blue balls are distinguishable, but the red balls are identical
In this case, we need to do a correction due to the red balls are identical and we cannot identify the difference when we interchange two red balls
3) If the balls of each color are indistinguishable
We proceed equal to the before case but we include a correction due to blue balls also
The value of the tangent of an angle is the ratio (opposite side) / (adjacent side).
Here you see that the opposite side (opposite to Angle B) is of length 5 and the adj. side has length 12.
Thus, the tan of Angle B is 5/12. (answer)
