Factor the expression 98x^3-50xy^298 x 3 − 50 x y 2
1 answer:
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Answer:
<h2>See the explanation.</h2>Step-by-step explanation:
(a)
7 persons will show up for sure, hence there is not any kind of probability here.
The other 5 persons have 50% chance to show up.
The flight will be overbooked, if either 4 will come or 5 will come.
From the total 5 persons, 4 can be chosen in ways.
The probability that any four among the 5 will come is .
The probability that all of the 5 passengers will come is .
Hence, the required probability is .
(b)
The probability that there will be exactly 10 passengers on the flight is .
The probability that there will be no empty seats in the plane is .
Hence, probability of having empty seats is .
Karmin will make $18.4 for working an hour after the increase.
Step-by-step explanation:
Step 1:
First, we need to determine how much Karmin made an hour.
Karmin's hourly rate
So Karmen made $16 every hour that she worked. She worked for 30 hours and earned $480.
She will get a 15% increase in her hourly rate this month.
Step 2:
We need to determine how much 15% of $16 is.
15% of $16
So her 15% increase amounts to $2.4.
So the hourly rate for this month
So Karmin will make $18.4 for working 1 hour.
The equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:
Thus, the slope of the line is -5.
Therefore a parallel line is of the form:
We replace the point
Finally, the equation is of the form:
Answer: