A z-score<span> is the number of standard deviations from the mean a data point is.
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Standard deviation explains by how much the members of a group differ from the mean value for the group.
Using the z-score formula:
z = ( x - μ ) ÷ σ
Where;
x = score
μ = Mean
σ = Standard deviation
Z- Score (Tara) = ( 52 - 64 ) ÷ 8
= - 12 ÷ 8
= - 1.5
Z- Score (Jamal) = ( 82 - 64 ) ÷ 8
= 18 ÷ 8
= 2.25
Z- Score (Samuel) = ( 66 - 64 ) ÷ 8
= 2 ÷ 8
= 0.25
We can use the compound interest formula
F=P(1+i)^n
where
F=Future value of investment to be found
P=present value of investment ($1000)
i=interest per period (1/4 year)=0.04/4=0.01
n=number of periods (3 years * 4 quarters = 12)
Substitute or "Plug in" values, so to speak,
F=1000*(1+0.01)^12
use a calculator to do the sum
=1126.83 (to the nearest cent, and use the proper rounding rules)
Answer:
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Answer: Melanie swam 63 minutes more in second week.
Step-by-step explanation:
Given , Time taken by Melanie in first week to swim = 142 minutes
Combined time taken by her in first two weeks in swimming = 347 minutes
Now , time taken by her in second week = (Combined time of first two week) - (Time taken in first week)
= 347-142 minutes
= 205 minutes
Clearly , 205 > 142 i.e. She swam more in second week than first week./
Difference i= 205-142 = 63
Therefore, Melanie swam 63 minutes more in second week.
