Step-by-step explanation:
The function is given by
It is an absolute value function which has a v- shaped graph.
The vertex form of an absolute function is given by y = a|x-h| +k, where (h,k) is the vertex.
Comparing the given equation with this, we have
h = 12
k = -2
Hence, the vertex would be (12,-2).
Now, the range of the function is the set of y values for which the function is defined.
This function has vertex of (12,-2). hence, it would not take any values which are less than -2. Please see the attached graph.
Hence, the range would be the all y values greater than or equal to -2.
Hence, the range is given by
Answer:
Step-by-step explanation:
While working at his neighborhood math tutoring center researching the comprehension level of the students Dion investigated that the distribution of the student test scores are normally distributed with a mean of 79.13 and a standard deviation of 6.34. What is the probability that the student scores less than 60.11
We solve using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
z = 60.11 - 79.13/6.34
So first you plug 6 into the equation which is 4(6)-10.
Using PEMDAS, you solve what’s in the parenthesis first and you get 24-10.
24-10=14
f(6)=14
Part 1:
3+2+1 = 6 total units
There is only 1 history book.
1/6 total.
Part 2:
6-1 (we've lost the history book) = 5 total units
3 novels. = 3/5
Part 3:
1/6 * 3/5 = 3/30 or 1/10
