There is a spinner with 15 equal areas, numbered 1 through 15. If the spinner is spun one time, what is the probability that the
1 answer:
Answer:
6.67% probability that the result is a multiple of 5 and a multiple of 2
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes:
Multiples of 2 AND 5
Between 1 and 15, the multiples of 2 are: 2,4,6,8,10,12,14
Between 1 and 15, the multiples of 5 are: 5,10,15
So only 10 is a multiply of both 2 and 5, so only one desired outcome, which means that
Total outcomes:
Any number between 1 and 15, there are 15, so
Probability:
6.67% probability that the result is a multiple of 5 and a multiple of 2
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X=7, y=3
because it is an algebraic method you have to solve for an x or y in either equation, and then plug that into the other equation. it’s helpful for these problems to check your work and plug the numbers back into the equations and the end for future reference !
because it is an algebraic method you have to solve for an x or y in either equation, and then plug that into the other equation. it’s helpful for these problems to check your work and plug the numbers back into the equations and the end for future reference !
Answer:
y = -2x - 2
Step-by-step explanation:
From the graph attached,
If the line 'l' passes through two points A(0, -1) and B(4, 1).
Rule for the rotation of any point (x, y), 90° clockwise about the origin is,
(x, y) → (y, -x)
By this rule,
A(0, -1) → A'(-1, 0)
B(4, 1) → B'(1, -4)
Let the equation of the line A'B' is,
y - y' = m(x - x')
where m = slope of the line A'B'
And (x', y') is a point lying on the line.
Slope of the line passing through A' and B' will be,
m =
m =
m = -2
Therefore, equation of the line passing through (-1, 0) and slope = -2,
y - 0 = (-2)(x + 1)
y = -2x - 2
So the equation of the line after rotation of lie 'l' by 90° clockwise will be,
y = -2x - 2
