For x values 1 unit either side of the vertex, the value of y is 2 more than it is at the vertex.
a = 2
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More formally, The graph appears to go through the point (4, 1). Substituting these values for (x, y) in the equation, we get
1 = a(4-3)² -1 . . . . substitute for x and y
2 = a . . . . . . . . . . add 1 and simplify
Answer:
y = ⅓x
Step-by-step explanation:
Let's find m.
m = y/x
Using the point on the line, (3, 1),
m = ⅓
Substitute m = ⅓ into y = mx
This, the equation that describes the relationship would be:
y = ⅓x
There are 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 365 days in a year. You are assuming that 65 years is the length. We will find the number of seconds in 65 years.
60 x 60 x 24 x 365 x 65 = 2,049,840,000 seconds.
We should note that every 4 years there is an extra day, so if we find 65 % 4 or the modulus of 65 then we can add this. The modulus of this is 16.
60 x 60 x 24 x 16 x 65 = 89,856,000 seconds
2,139,696,000 seconds (when you add the two calculations together).
You are finding it "every 10 seconds" so divide this value by 10. Then divide by another 100 because you are only counting dollars and 100 pennies is equal to 1 dollar.
The answer is : $2,139,696
Adding up all 6 probabilities gives a total of 1, which means that this is a valid distribution function. Observing that P(0) = P(5), P(1) = P(4), and P(2) = P(3), this is a symmetric distribution.
Its mean will be in the middle, which is at x = 2.5.
The standard deviation is calculated by multiplying each P(x) by the square of deviation (x - average)^2: (0.032)(0 - 2.5)^2 + (0.152)(1 - 2.5)^2 + (0.316)(2 - 2.5)^2 + (0.316)(3 - 2.5)^2 + (0.152)(4 - 2.5)^2 + (0.032)(5 - 2.5)^2 = 1.242, then taking the square root: sqrt(1.242) = 1.1145.
