Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)
1 answer:
Answer:
Step-by-step explanation:
step 1
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are equal
The equation of the given line is
The slope of the given line is
so
The slope of the line parallel to the given line is also
step 2
Find the equation of the line parallel to the given line
The equation of the line in point slope form is
we have
substitute
step 3
Convert to slope intercept form
Isolate the variable y
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Answer:
The expected value of the proposition is of -0.29.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used 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.
Suppose a basketball player has made 231 out of 361 free throws.
This means that
Probability of the player making the next 2 free throws:
This is P(X = 2) when n = 2. So
Find the expected value of the proposition:
0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.
1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So
The expected value of the proposition is of -0.29.
Answer:
Step-by-step explanation:
To find the distance between two points, and
, you can use the following distance formula:
Plugging in the points from the problem, you'll get the following: