Answer:
0.35 = 35% probability that a married couple watches the movie
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that a husband watches the movie, given that his wife does, is 0.7.
This means that
The probability that a wife watches the movie is 0.5.
This means that
What is the probability that a married couple watches the movie?
Both, so:
0.35 = 35% probability that a married couple watches the movie
4 cups....
First, change the proper fractions to improper fractions.
2 1/4 = 9/4
1 3/4 = 7/4
Then, add the improper fractions.
9 7 16
--- + ---- = --------- = 4
4 4 4
4 cups of peaches and pears
It is irrational because it cannot be written as a ration of two integers .
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.