1. What is the slope of the line y = 5x +4? =
2 answers:
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Answer: The required point is A(6, 3) in the attached graph.
Step-by-step explanation: We are to find the point on the given graph that shows the price of 6 ounces of cheese.
The formula to be used is given by
Given that,
when x = 2 then y = 1. That is, price of 2 ounces of cheese is $1.
when x = 7 then y = 3.5. That is, price of 7 ounces of cheese is $3.5.
when x = 14 then y = 7. That is, price of 14 ounces of cheese is $7.
Therefore, these points satisfy the given relation (i).
Hence, if x = 6, then from equation (i), we have
Thus, the price of 6 ounces of cheese is &3. This gives that the required point is A(6, 3) on the graph attached below.
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