Answer:
20 in
Step-by-step explanation:
Tree 1:
Rate of growth = (½ ft/2 yr)
12 yr growth = 12 × (½/2)
= 6/2
= 3 ft
= 36 in
Tree 2:
Rate of growth = (4 in/3yr)
12 yr growth = 12 × (4/3)
= 48/3
= 16 in
Difference:
Tree 1 - Tree 2 = 36 - 16
= 20 in
The trees will differ in height by 20 in.
Answer:
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 116 cm and a standard deviation of 5.4 cm.
This means that 
Find the probability that one selected subcomponent is longer than 118 cm.
This is 1 subtracted by the pvalue of Z when X = 118. So



has a pvalue of 0.6443
1 - 0.6443 = 0.3557
0.3557 = 35.57% probability that one selected subcomponent is longer than 118 cm.
Answer:
19.0
Step-by-step explanation:
Answer:
$432.18
Step-by-step explanation:
Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour
Double time = 2*6.86 = $13.72 per hour
Rest of the time => At regular rate
Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)
= 10(10.29) + 4(13.72) + (40)(6.86)
= $ 432.18
Answer:
32
Step-by-step explanation:
32, 13, 45, 56, 76, 54, 32, 32
Mode is the number that appears most often
32 appears 3 times so it is the number that appears most often