Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:
1 answer:
Answer:
0.06 = 6% probability of landing open side up.
0.14 = 14% probability of landing closed side up.
0.8 = 80% probability of landing on its side.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these numbers are taken from previous trials.
Landing open side up:
3 out of 50, so:
0.06 = 6% probability of landing open side up.
Landing closed side up:
7 out of 50, so:
0.14 = 14% probability of landing closed side up.
Landing on its side:
40 out of 50, so:
0.8 = 80% probability of landing on its side.
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Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
