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:
( -2 , 0 ) maximum
Step-by-step explanation:
Watch the graph and point out the coordinates.
if its vertex is less that 0 or negative, then maximum.
With vertex being greater than 0 or positive, its minimum.
Answer:
what is the question I didn't get it please explain what we have to find
Step-by-step explanation:
Answer:
D. 
inches.
Step-by-step explanation:
We have been given that the circle with center O has a minor arc BSA with a length of 
inches. The central angle is 40°.
To find the circumference of circle we will use formula:
, where 
= measure of 360 degrees in radians and 
= circumference of circle.
Let us convert measure of central angle into radians.
Upon substituting our given value in the formula we will get,
Cross multiplying we will get,
Hence, the radius of our circle is 27/4 inches.
Since the circumference of circle is . Upon substituting we will get,
Therefore, circumference of our given circle will be inches and option D is the correct choice.
