Answer:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
Answer:
c. 3 / 13
d. 2 / 13
Step-by-step explanation:
c.
A deck of cards has 52 cards. There are cards of 4 suits- Spades, Hearts, Diamonds and Clubs.
So, there are 52/4= 13 cards of each suit.
Among these 13 cards, there are 3 picture cards or face cards as they are called. These are the Jack, Queen and King cards.
So, the number of total picture cards = 4*3 = 12
the number of cards are 52
theoretical probability formula: P = favorable events/ possible events
P = 12 / 52
P = 3 / 13
d.
there are four aces and four sevens in the deck
so favorable events = 4 + 4 = 8
possible eventas = 52
P = 8 / 52
P = 2 / 13
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
Answer:
Step-by-step explanation:
Value of x should be less than (-6).
x = { .......,-9,-8,-7}
For example:
-15*-7 +80 = 105+80 = 185 >170
It is not differentiable at x=1 since the slope of the tangent line as x -> 1 from the right is 1 while the slope of the tangent line as x->1 from the left is -1
