Answer:
y
=
4
(
1
2
)
x
Explanation:
An exponential function is in the general form
y
=
a
(
b
)
x
We know the points
(
−
1
,
8
)
and
(
1
,
2
)
, so the following are true:
8
=
a
(
b
−
1
)
=
a
b
2
=
a
(
b
1
)
=
a
b
Multiply both sides of the first equation by
b
to find that
8
b
=
a
Plug this into the second equation and solve for
b
:
2
=
(
8
b
)
b
2
=
8
b
2
b
2
=
1
4
b
=
±
1
2
Two equations seem to be possible here. Plug both values of
b
into the either equation to find
a
. I'll use the second equation for simpler algebra.
If
b
=
1
2
:
2
=
a
(
1
2
)
a
=
4
Giving us the equation:
y
=
4
(
1
2
)
x
If
b
=
−
1
2
:
2
=
a
(
−
1
2
)
a
=
−
4
Giving us the equation:
y
=
−
4
(
−
1
2
)
x
However! In an exponential function,
b
>
0
, otherwise many issues arise when trying to graph the function.
The only valid function is
y
=
4
(
1
2
)
x
The mean is 0.0118 approximately. So option C is correct
<h3><u>Solution:</u></h3>
Given that , The probability of winning a certain lottery is 
for people who play 908 times
We have to find the mean number of wins
Assume that a procedure yields a binomial distribution with a trial repeated n times.
Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial.
Hence, the mean is 0.0118 approximately. So option C is correct.
Answer:
(a) seems to be the closest to being correct of these five statements.
Step-by-step explanation:
Let's go through the list of possible descriptors:
a) There are no outliers. This seems to be the response most likely to be correct.
b) The distribution is not skewed left. It's skewed right.
c) The center is not 44. From what I see, the center is 48.
d) This distribution is not bimodal; it does not have two peaks.
d) The spread is not 38 to 67; it's 29 to 67.
Answer:
150
Step-by-step explanation:
the total angle of a flat line is 180
since one side is 30 180-30 is 150
