Answer:
Refer below
Step-by-step explanation:
Installation fee equation will be added onto the original equation
So g = base cost + percent cost + $100
(Cost of carpet) ---> g = $7.5x + ($7.5x * 0.05) + $100
Plug in 150 into the formula that gives you $1281.25
Make sure to study these, questions like these will for sure strengthen your math skills
Answer:
16.33628179866692
Step-by-step explanation:
I dont know how far you wanted me to round so you will have to do that part
Answer:
a) The probability that 71 of 150 will prefer boy child is 71/150 or 0.47
b) The result contradicts the poll actual percentage is 47.33% which is 3.33% more than the poll predicted
Step-by-step explanation:
If 71 out of 150 prefer boy child
The probability that the 71 will prefer boy child is
= 71/150
The actual percentage is
(71/150)*100%
= 47.33%
This contradicts the poll as this is more than the poll predicted. That means Less than 71 of 150 actually preferred boy child.
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
9u -6v = 9<-5, 1> -6<7, -4>
.. = <9*-5 -6*7, 9*1 -6*-4>
.. = <-87, 33>