Answer:
There is a 3.7% probability that they both will like it.
Step-by-step explanation:
We can solve this problem using the Bayes rule derivation from conditional probability.
Bayes rule:
What is the probability of B, given that A?
In this problem, we have that:
is the probability that Ralph likes the movie, given that Melissa likes. The problem states that this is 10%. So 
is the probability that Melissa likes the movie. The problem states that 
.
If they randomly select a movie from a video store, what is the probability that they both will like it?
This is 
.
There is a 3.7% probability that they both will like it.
Answer:
In 12 months
Step-by-step explanation:
Let a = year when average the average cost of owning a freezer would be less than $117
($850 + $40a) / a < $117
$850 + $40a < $117a
collecting like terms
$850 < $77a
a = 11.04 months
Answer: m<6 = 68 degrees
Step-by-step explanation:
Angle 1 is supplementary to angle 4 because they are the product of two intersecting lines. This means angle 1 + angle 4 = 180 degrees. Subtract 112 from 180. 180-112 = 68. Angle 4 is 68 degrees.
The alternate interior angle theorem states that angles on the inside of the two parallel lines will be the same as the ones diagonal from them (4 = 6, 3 = 5 for this example). Since angle 4 is congruent to angle 6, angle 6 also measures 68 degrees.
Answer:
x=130 I believe
Step-by-step explanation:
28+8+14+x=180
50+x=180
x=130
