Ralph and Melissa watch lots of videos. But they have noticed that they don't agree very often. In fact, Ralph only likes about 10% of the movies that Melissa likes, i.e., P(Ralph likes a movie|Melissa likes the movie) = .10 They both like about 37% of the movies that they watch. (That is, Ralph likes 37% of the movies he watches, and Melissa likes 37% of the movies she watches.) If they randomly select a movie from a video store, what is the probability that they both will like it? prob. =
Answers
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.
Related Questions
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p In which step did the student first make a mistake and how can it be corrected? 1.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) 2.) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles) 3.) Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles) 4.) Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Given h(x)= -5x+3,solve for x when h(x)=3
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. If we are testing at the 5% significance level to see whether the business school preparation course is effective in improving exam scores, our critical value is 1.895. We should reject the null if the test statistic is
What is a variable term in mathematics?
Answers
Answer:
4 emails per minute
Step-by-step explanation:
20/5=4
Answers
The given quadratic function is
It represented graphically by an upward parabola
Since the parabola is upward, then it has a minimum vertex
From the graph, the minimum vertex is (-1, 3)
Then let us answer the questions
Maximum point: None
Minimum point: (-1, 3)
To find f(-5), substitute x by 5 in the function above
To find f(6), substitute x by 6 in the function above
The answers:
f(-5) = 19
f(6) = 52
Answers
0.7 repeated can be written as a fraction .
What are Fractions?
Fractions are defined as a part or portion in a whole. There are two parts for a fraction, numerator which is the upper part and the denominator, which is the lower part.
Fractions are generally written in the form , where p and q are real numbers. Here, the number p is called the numerator and the number q is called the denominator.
Fractions can be simplified as decimals.
We have to find the fraction representing the number 0.7 repeated.
0.7 repeated is actually the number 0.77777.....
The quotient of 5/8 = 0.625
The quotient of 6/7 = 0.857...
The quotient of 7/9 = 0.777.......
The quotient of 7/100 = 0.07
So, the quotient of 7/9 is the required number.
Hence the fraction which on simplification gives 0.7 repeated is 7/9.
To learn more about Fractions, click on the link given below:
#SPJ2
Answer:
7/9
Step-by-step explanation:
7/9 = 0.777777777777777777...
log740.
Click on the correct answer.
1.519
1.896
1.354
Answers
Answer:
1.896
Step-by-step explanation:
You can answer this just using your number sense.
You know that 49 = 7², so log₇(49) = 2. The log function has a fairly small slope, so log₇(40) will not be far from 2.
_____
If you want to use your calculator, you can use the "change of base formula".
log₇(49) = log(49)/log(7) ≈ 1.602060/0.845098 ≈ 1.896
Answers
Answer:
D
but not sure because I'm not that good
Answers
James has $9
Priya has $10.80
Siobhan has $9.18
because 9*20% is 1.8 so add that to 9 to get 10.80 then times 10.80 by 15% to get 1.62 so you subtract 1.62 from 10.80 to get $9.18