Answer:
A rectangle has a length 6m less than twice its width. when 5 m are added to the width, the resulting figure is a square with an area of 256m^2. find the distance of the original rectangle
width:: x
length:: 2x-6
-------
New width:: x+5
---
Equation:
(x+5)^2 =256 =16
16 is the original length
All it does is move from its original position. Translation does affect its side lengths angles shape or size.
Answer:
0.1587
Step-by-step explanation:
Let X be the commuting time for the student. We know that . Then, the normal probability density function for the random variable X is given by
. We are seeking the probability P(X>35) because the student leaves home at 8:25 A.M., we want to know the probability that the student will arrive at the college campus later than 9 A.M. and between 8:25 A.M. and 9 A.M. there are 35 minutes of difference. So,
= 0.1587
To find this probability you can use either a table from a book or a programming language. We have used the R statistical programming language an the instruction pnorm(35, mean = 30, sd = 5, lower.tail = F)
Ooh a challenge!
so first find the surface area which is
(2 times legnth times width)+(2 times legnth times height)+(2 times width times height)=(2 times 12 times 10)+(2 times 12 times 16)+(2 times 10 times 16)=(2 times 120)+(2 times 192)+(2 times 160)=240+384+320=944 ft^2
then subtract the area of the door which is 3 times 8=24
so 944-24=920 ft^2
1 quart of paint =100
944/100=9.44
round up because you cant buy a fraction of a bucket but you still need to cover the whole room (minus the door)
10 quarts of paint is the answer
For this case we have the following linear equation:
d = 15.7p + 2.0
Where,
p: number of people
d: total bill
We note that the slope of the equation is:
m = 15.7 $ / person
Therefore, the amount of the bill increases if the number of people grows.
Answer:
b) The model predicts that for each additional person at a table, the total bill increases by $ 15.70.