Answer:
81.86%
Step-by-step explanation:
We have been given that final exam scores are normally distributed with a mean of 74 and a standard deviation of 6.
First of all we will find z-score using z-score formula.
Now let us find z-score for 86.
Now we will find P(-1<Z) which is probability that a random score would be greater than 68. We will find P(2>Z) which is probability that a random score would be less than 86.
Using normal distribution table we will get,
We will use formula 
to find the probability to find that a normal variable lies between two values.
Upon substituting our given values in above formula we will get,
Upon converting 0.81859 to percentage we will get
Therefore, 81.86% of final exam score will be between 68 and 86.
The maximum number of miles she can drive is $111.388.
<h3>What is Unitary method?</h3>
The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Step-by-step explanation:
The rental company charges $19.95
and, 18 cents for each mile driven.
So,
$40 - $19.95 = $20.05
Thus, the maximum number of miles she can drive
=$20.05 / by 0.18
= 111.388
Learn more about this concept here:
brainly.com/question/27826540
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Answer:
19 and 128
Step-by-step explanation:
19.3 is closer to 19 than 20 and 127.8 is closer to 128 than 127
Answer:
42
Step-by-step explanation:
Given:-
The Sum of the Digit of a Two Digit number is 6.
On reversing, the number is 18 less than the original number.
To Find:-
The original Number.
Let the Ones digit be "x"
ten's digit be = (6 - x)
Original Number = x + 10(6 - x) = 60 - 9x
Now, Atq.
One's Digit = (6 - x)
Ten's digit = x
New Number = 10 × x + (6 - x) = 9x + 6.
So,
(New Number) - (Original Number) = 18
(9x + 6 ) - (60- 9x) = 18
9x + 6 - 60 + 9x = 18
18x - 54 = 18
18x = 18 + 54.
18x = 72
x = 72/18
x = 4.
Therefore,
One's Digit = x = 4
Ten's digit = 6 - x = 2
Original Number = 42
