What is 10+√50 ----------- 5
1 answer:
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<u>Answer: </u>
A standard six-sided die is rolled twice and the top faces are observed and the probability that the sum of the numbers on the top faces is 10 is
<u>Solution: </u>
The sample space of two dice outcomes is given as follows:
{(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3, 1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4, 1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5, 1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6, 1) (6,2) (6,3) (6,4) (6,5) (6,6) }
Total number of events n(s) = 36
Expected Outcomes = {(4, 6), (5, 5), (6, 4)}
Number of favorable outcomes n(E) = 3
Probability (sum of numbers on the top faces is 10) = =
=
Therefore the probability that the sum of the numbers on the top faces is 10 is
Answer:
For the table on the left the rate of change is
For the table on the left the rate of change is
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
Substituting these values into the formula, you get:
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
Substituting these values into the formula, you get:
Answer:
Step-by-step explanation:
To derive the function rule in slope-intercept form, , we need to find the slope, m, and the y-intercept, b, of the graph given.
Using two points on the line, (-1, 2) and (0, -2), find slope (m) as shown below:
m = -4
The line intercepts the y-axis at y = -2, therefore the y-intercept, b, = -2.
Substitute m = -4, and b = -2 into .
The function rule in slope-intercept form would be: