First answer is wrong: a one to one function maps different inputs to different outputs, while you can see that all numbers in are mapped to the same value , for every . So, the function is not one to one.
The second is true: by definition, for all real numbers, x, the greatest integer function returns the largest integer less than or equal to x. This is exactly what is happened with the graph.
The third is true: the greatest integer less than 0.6 is 0.
The fourth is true for the same reason: greatest integer less than 5.1 is 5.
The fifth is false: -3 is actually greater than -3.2, so we have
Answer:
Percentage of the students scored higher than 89% = 65.87%
Step-by-step explanation:
We need to find the percentage of students who scored higher than 89% given mean = 84 and standard deviation = 5.
We can find the percentage of students who scored higher than 89% by using z-score.
The formula for z-score is:
μ= mean = 84
σ=standard deviation = 5
x= random number = 89
Putting these values, we get
Now, we know that we need to find students who score greater than 89%
so P(X>89) or P(X>1),
finding value of z= 1 which can be easily found using z score tables.
By looking at table we get the value of z = 0.3413
Subtracting the value of z from 1 we get
Percentage of the students scored higher than 89% = 1-0.3413 = 0.6587 or 65.87%
By formula, given the equation of a line in slope intercept form and coordinates of the point, a formula yields the distance between them.
#1) (b)
#2) (d)
#3) (d)
My explanations are the same as your previous questions.