0.1
0.1^3 = 0.1*0.1*0.1 = 0.01*0.1 = 0.001
Create a unit rate.
1 wk/ 7 days
x wk/ 98 days
Cross multiply.
98=7x
Solve the equation.
14=x
14 weeks until her grandmother visits
Answer:
Option B.
Step-by-step explanation:
It is given that,
Last year the total number of movies = 108
Number of action movies = 15
Based on this data, we need to find a reasonable estimate of the probability that the next movie is an action movie.
So, the required probability is:
Hence, the correct option is B.
For the case of a line through
(
2
,
7
)
and
(
1
,
−
4
)
we have
slope
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point
(
2
,
7
)
we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
where the slope
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add
7
to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept (
y
=
m
x
+
c
) form with slope
m
=
11
and intercept
c
=
−
15
.
The answer is -7 because :
a=1, b=1, c=2
Discriminant = b^2 - 4ac
= 1^2 - 4*1*2
= -7
