This is the theory of exponential growth. Given that the an athlete is training to run marathon and she plans to run 2 miles in the first week and increase the distance by 8%. The function modeling how far she will run the nth week will be given by
nth=ae^(bx)
nth=2e^(0.08x)
where x is the nth time.
Answer:
Step-by-step explanation:
13
Taking the side we can't quite see, I would guess it is an 8.
A 45 45 90 triangle is isosceles.
The two legs are equal.
x = 8
14
Little harder
The tangent of the angle is Tan(x) = opposite over adjacent
opposite = 10
adjacent = 15
Tan(x) = 10/15
Tan(x) = 2/3
x = tan-1(2/3)
x = tan-1(0.6666666667)
x = 33.7 degrees.
Do you know how to put this in your calculator.
2nd
tan
0.666667
=
gives
33.7 rounded
0.016 as a fraction is 16/1000 and in simplest form it is 2/125.
An easy way to figure out the fraction of a decimal is by the decimal places. As we can see, there are four numbers in our decimal (0.016).
The first decimal place = ones
The second decimal place = tenths
The third decimal place = hundredths
The fourth decimal place = thousandths
We stop at the thousandths place, so basically, take 16 and put it over 1000, which looks like 16/1000.
Answer:
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
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:
Middle 90%
Between the 50 - (90/2) = 5th percentile to the 50 + (90/2) = 95th percentile.
5th percentile:
X when Z has a pvalue of 0.05. So X when Z = -1.645.
95th percentile:
X when Z has a pvalue of 0.95. So X when Z = 1.645.
The cutoff numbers for the number of chocolate chips in acceptable cookies are 16.242 and 27.758
Answer:
uyfgdfh dhbbvgdfuhb fvdfhyubvdc bldiuhvn dflhudfnv bgtrgbhudfhuvthgb bh ffgb
Step-by-step explanation: