Answer:
<u>about $2.31 per pound</u>
Step-by-step explanation:
35.99/15.6 = 2.30705128205
2.31
Have a good day! :)
The answer would be 18
Hope that helps.
Answer:
y = 3 and y = x + 3
Step-by-step explanation:
The equation y = 3 whose graph is a line parallel to x-axis can be a part of the system.
Consider the equation y = x + 3.
Substitute (0, 3).
3 = 0 + 3
So, (0, 3) lies on y = x + 3 and this can also be a part of the system.
Let’s put these into one fraction each:
Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles
Swimming:
= (5*2)/3 miles
= 10/3 miles
Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4
Now we add all the distances up:
= (15/2) + (10/3) + (9/4)
Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.
Hope this helps!
Answer:
The probability that the student answers at least seventeen questions correctly is
.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,

There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:

Compute the probability that the student answers at least seventeen questions correctly as follows:


Thus, the probability that the student answers at least seventeen questions correctly is
.