What is the probability of choosing a number 1 - 10 that is greater than 5 or even?
1 answer:
Answer:
70%
Step-by-step explanation:
So, first, our set of choices is 10. This means that there are 10 choices.
We want a number that is greater than 5 or even. Thus, let's mark down all of our choices.
Numbers greater than 5 are:
6, 7, 8, 9, and 10.
Even numbers are:
2, 4, 6, 8, 10.
However, we already counted 6, 8, and 10 previously, so we'll ignore that.
All in all, the following numbers will satisfy our requirements:
2, 4, 6, 7, 8, 9, and 10.
This is 7 out of 10 numbers.
Therefore, our probability is:
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We want to solve the system of inequalities
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.
y ≥ x - 5
y < -x + 4
The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5
The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4
Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.