Answer:
amplitude; 
Phase shift;
units right
Period;
Step-by-step explanation:
The given function is

This function is of the form;

The period is given by:

The period is given by:

The phase shift is given by;
or
units right.
Answer:
The expected value of the safe bet equal $0
Step-by-step explanation:
If
is a finite numeric sample space and
for k=1, 2,..., n
is its probability distribution, then the expected value of the distribution is defined as
What is the expected value of the safe bet?
In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is
S = {100,-100}
Since the coin is supposed to be fair,
P(X=100)=0.5
P(X=-100)=0.5
and the expected value is
E(X) = 100*0.5 - 100*0.5 = 0
Answer:
b - 1/4 = 3 1/2
Step-by-step explanation:
b - 1/4 = 3 1/2
b - 1/4 = (3 + 1/2)
4b = 15
b = 15/
4
= 3.75
The slope is 2, as for every 20 the graph rises, the line goes over 10, and the formula for slope is rise over run.
We can set this up as a proportion.
Since 2 is proportional to 1000, then 4 is proportional to "doctors surveyed".

where d is the doctors surveyed.
Cross multiply.
2d = 4000
d=2000
2000 doctors were surveyed.