The level of the water in a river rose 2.2 feet on Monday, rose 7.6 feet on Tuesday, fell 2 feet on Wednesday, and fell 7.6 feet
1 answer:
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Answer:
The interquartile range is between 83.25 hours and 96.75 hours
Step-by-step explanation:
Problems of normally distributed samples can be 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:
Find the interquartile range for this distribution.
That is, the middle 50%, from the 25th to the 75th percentile.
25th percentile:
X when Z has a pvalue of 0.25. So X when Z = -0.675
75th percentile:
X when Z has a pvalue of 0.75. So X when Z = 0.675
The interquartile range is between 83.25 hours and 96.75 hours
Answer:
e = eggs, b = bacon strips
Equation 1: 3e+4b = 4.85
Equation 2: 5e+3b = 4.60
Cost per egg: $0.35
Cost per bacon strip: $0.95
Step-by-step explanation:
This can be solved using simultaneous equations:
3e+4b = 4.85 -> 1
5e+3b = 4.60 - 2
From equation 1, make e the subject of the formula
3e = 4.85 - 4b
e = (4.85 - 4b) ->3
Substitute in equation 2.
5()(4.85 - 4b) + 3b = 4.60
-
b + 3b = 4.60
Multiply by 3
24.25 - 20b + 9b = 13.8
b = 0.95
Substitute in 3:
(4.85-4(0.95))
e = 0.35
Hence an egg is $0.35 and a bacon strip is $0.95