a box contains apples and oranges. the ratio of apples to oranges is 5:3. if there are 15 apples in the box, how many oranges ar
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Answer:
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Step-by-step explanation:
For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
62% of the voters are Democrats
This means that
(a) What is the probability that two independently surveyed voters would both be Democrats?
This is P(X = 2) when n = 2. So
0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats
Hello! :)
Use a proportion to find how many seconds are needed to fold 5 shirts.
We are given that he takes 28 seconds to fold 2 shirts:
28 sec : 2 shirts
We are not given the amount of time needed for 5 shirts, which we need to solve:
x seconds : 5 shirts
Express in a fraction:
Cross multiply and simplify:
Therefore, he needs 70 seconds to fold 5 shirts.