Step-by-step explanation:
Since varies directly as
we can write the relation as
where k is the constant of proportionality.
a) To solve for the k, we substitute the given values:
b) The equation relation x and y can be written as
c) When y = 9,
Answer: 0.8413
Step-by-step explanation:
Given : Henry has collected data to find that the typing speeds for the students in a typing class has a normal distribution.
Mean :
Standard deviation :
Let x be the random variable that represents the typing speeds for the students.
The z-score :-
For x= 51
Using the standard normal distribution table ,the probability that a randomly selected student has a typing speed of less than 51 words per minute :-
Hence, the probability that a randomly selected student has a typing speed of less than 51 words per minute = 0.8413
