One centimenter is 0.01 meters. So, you can write the measures as
Once this rewriting is done, getting the total length is quite trivial, since all measurements are in the same unit, and we can simply sum everything:
The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
1 answer:
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Answer:
a) 2.84% probability that he is late for his first lecture.
b) 5.112 days
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
a. Find the probability that he is late for his first lecture.
This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So
has a pvalue of 0.9716
1 - 0.9716 = 0.0284
2.84% probability that he is late for his first lecture.
b. Find the number of days per year he is likely to be late for his first lecture.
Each day, 2.84% probability that he is late for his first lecture.
Out of 180
0.0284*180 = 5.112 days
Answer:
The constant term in the function is 5
Step-by-step explanation:
we have
where
b is the y-intercept or the constant term of the function
Remember that
The x-intercept is the value of x when the value of the function is equal to zero
so
For x=-3 ----> f(x)=0
For x=-5 ----> f(x)=0
substitute any of the intercepts in the function
For x=-3
Verify with the other intercept
For x=-5
---> is true
therefore
The constant term in the function is 5
Answer:
Mr. Smith collects $5748 from selling the can.
Step-by-step explanation:
Given total number of cans =
Selling price of one can = $15.
Now remaining number of cans = total number of cans - sold number of cans =
For remaining number of cans he gives a discount of 20% each,
∴ Selling price of one can =
∴ Selling price of 54 cans =
So total money he earns = .
Thus Mr. Smith earns $5748 by selling the cans.