This is just a geometric sequence with a sum of:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ration, n=term number
The rate here is 40% which is 0.4 and a=75 meters so
s(n)=75(1-0.4^n)/(1-0.4)
Notice how when n approaches infinity the number becomes just a(1-0), which gives you:
s(n)=75/(1-0.4)
This is a general solution whenever the rate squared is less than 1, the sum of the infinite series will always be:
s(n)=a/(1-r)
So in this case we have:
s(n)=75(1-0.4)
s(n)=75/0.6
s(n)=125 meters.
Answer:
Test score of 75.7.
Step-by-step explanation:
Problems of normal distributions 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.
The results are normally distributed with a mean test score of 60 and a standard deviation of 8.
This means that
Calculate the test score above which 2.5% of all test scores lie.
Above the 100 - 2.5 = 97.5th percentile, which is the value of X when Z has a pvalue of 0.975, so X when Z = 1.96.
Test score of 75.7.
Answer:
Out of 8 slices two are a
Could be expressed as 2/8 or 1/4 or 25%
25% is your answer
Step-by-step explanation: