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
Answer:
42.86%.
Step-by-step explanation:
Reduction in price = $70.00 - $40.00 = $30.00
Reduction in percentage = ($30.00 ÷ $70.00) x 100 = 42.86%
The price of the videogame was reduced by 42.86%.
F^-1(x) is the inverse so...
f^-1(x) = (-1/5)x - 11/5
Answer:

Step-by-step explanation:
we have

Substitute the value of y=27 in the equation and find the value of x
so





Answer:
x=58 degrees
Step-by-step explanation:
The angle is a right angle (90 degrees)
90-32=58