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
![f(x) = \frac{1}{\sqrt{2\pi(5)^{2}}}\exp[-\frac{(x-\mu)^{2}}{2(5)^{2}}]](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%5Cpi%285%29%5E%7B2%7D%7D%7D%5Cexp%5B-%5Cfrac%7B%28x-%5Cmu%29%5E%7B2%7D%7D%7B2%285%29%5E%7B2%7D%7D%5D)
. 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)
So first you distribute the 5 to the x and the +2 and get
5x+10=3(x+8)
then you distribute the 3 to the other x and the +8 and get
5x+10=3x+24
subtract 3x from both sides
2x+10=24
subtract 10 from both sides and get
2x=14
divide both sides by 2 and get
x=7
Answer:
18/5 miles
Step-by-step explanation:
let d be the mountain dist path
upward biking
x miles - 1 hr
d 45 mins
3x/4 = d
riding down
x+3 - 60 min
d. - 20
(1/3)(x+3) = d
(x+3)/3 = 3x/4
4x+12 = 9x
x = 12/5
d =( 12*3)/(4*5)= 9/5
upward+downward = 2*(9/5) = 18/5
#4.
4/12 =x/25
x times 12 is 12x
4 times 25 is 100
12x=100
divide 12 by 100 to get 8.3
No this is not true because 3/5 + 4 equals 4.6 and 3/5 is 0.6
