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)
Answer:
86+18
Step-by-step explanation:
Use the properties of 45-45-90 triangles to get a side length of 18 for the 2 legs of the isosceles triangle. Then add 43+18, which is the shorter length of the rectangle, +25, which is the longer edge, +18. The answer is now 86+18.
Answer: y = 1.8
Step-by-step explanation:
xy = 12.6 If x is 7 but 7 in the equation for x
7y = 12.6 Divide both sides by 7
y = 1.8
7 7/8 - 3 1/4
7 7/8 = 6.125
3 1/4 = 0.75
so 6.125 - 0.75
= 5.375
as a mixed fraction the answer is 5 3/8
8 + 3/4 - 11<span> + </span>1/3<span> = - </span>215<span>/12 = - 17 </span>11/12 = - 17.9166666667; Result written as: improper fraction, mixednumber<span> (also called mixed fraction) and decimal </span><span>number</span>
