In a certain country, a letter up to 1 ounce requires postage in the amount of $0.42, and each additional ounce (or fraction of
2 answers:
Answer:
$1.84
Step-by-step explanation:
In a certain country, a letter upto 1 ounce requires postage of = $0.42
and each additional ounce (or fraction of an ounce) has an additional cost.
The function which represents this situation :
The weight of Josiah's first letter = 2.9 ounces (x= 2.9)
f(1) = 0.80
f(2) = 1.04
0.80 + 1.04 = $1.84
The total amount is $1.84, Josiah can expect to pay for postage
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Answer:
Belinda's score is 32 strokes.
Step-by-step explanation:
Let the score of John be "x" and Belinda be "y".
It is given that, in the game of golf, John's score was 10 less than two times Belinda's score.
Also, John's score is 54 strokes.
The above equation can be written as ;
Here, x = 54,
Thus, Belinda's score is 32 strokes.
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