Answer:
Step-by-step explanation:
Hope this helped!! Have an amazing day :D
I have one last question I need help with.
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
let they travel the distance between them alone
d = common distance traveled by both motorcycle and car = 540 miles
= time taken by motorcycle to travel distance between them
= speed of the motorcycle = 48 mph
time taken by motorcycle to travel distance between them is given as
= d/
=540/48
= 11.25 h
= time taken by car to travel distance "d" =11.25 - 2.25 = 9 h
= speed of the motorcycle
speed of motorcycle is given as
= d/
= 540/9
= 60 mph
when the car and motorcycle move towards each other, the relative speed is given as
v = +
v = 60 + 48
v = 108 mph
t = time taken to meet
Time taken to meet is given as
t = d/v
t = 540/108
t = 5 h
Answer:
<em>The 9th percentile of X is 44.96</em>
Step-by-step explanation:
<u>Percentiles for a Normal Distribution</u>
The standard normal distribution can be used for computing percentiles. For example, the median is the 50th percentile being the center value, the first quartile is the 25th percentile, and so on.
To compute percentiles of a normal distribution we can use the formula
Where is the mean,
is the standard deviation of the variable X, and z is the z-score value from the standard tables
The value of X can also be directly obtained from digital tables included in math packages and tools like Excel.
The Excel NORM.INV Function calculates the inverse of the cumulative Normal Distribution Function for a given value of p, and
.
We'll use the values
NORM.INV(0.09,53,6) results in 44.96 which means the 9th percentile of X is 44.96
We could have used the standard normal distribution, which only needs the value of p
That is the value of z, we now apply the formula
We get the very same result as before