Answer:
a) 90.695 lb
b) 85.305 lb
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:
(a) The 65th percentile
X when Z has a pvalue of 0.65. So X when Z = 0.385.
(b) The 35th percentile
X when Z has a pvalue of 0.35. So X when Z = -0.385.
Answer:
a) 2/42
b)16/42
Step-by-step explanation:
a) 2/7 x 1/6 = 2/42
b) (1,2) (1,3) (2,3)
P(1,2) = 2/7 x 3/6 = 6/42
P(1,3) = 2/7 x 2/6 = 4/42
P(2,3) = 3/7 x 2/6 = 6/42
Add all = 6/42 + 4/42 + 6/42 = 16/42
The dimensions of the base of Box 1 are x by 3x.
The base area of Box 1 is:
3x^2
8 total pens....4 are black
first pick, probability of being black is 4/8
2nd pick. without replacing, probability is 3/7
probability of a black pen picked first and then another black pen picked again is : 4/8 * 3/7 = 12/56 = 0.21
In this item, it is unfortunate that a figure, drawing, or illustration is not given. To be able to answer this, it is assumed that these segments are collinear. Points L, M, and N are collinear, and that L lies between MN.
The length of the whole segment MN is the sum of the length of the subsegments, LN and LM. This can be mathematically expressed,
LN + LM = MN
We are given with the lengths of the smalller segments and substituting the known values,
MN = 54 + 31
MN = 85
<em>ANSWER: MN = 85</em>
