If one is to choose among given choices and the order is not important, we use the concept of combination. First, we calculate for the sample space or number available since there is a total number of 12 electives and a student may choose 2 out of them.
S = 12C2
That is "the sample space is equal to combination of 12 taken 2". The answer to this is equal to 66.
Next, we determine the number of outcomes. The equation will be,
O = (5C1) x (3C1)
That is "outcome is equal to combination of 5 taken 1 times combination of 3 taken 1". This is equal to 15. The probability is equal to,
P = O/S
Substituting,
P = (15/66) = 0.227270
The answer to this item is the third choice.
Answer:
A. y + 1 = -2(x-2)
Step-by-step explanation:
point-slope equation is : y - y1 = m (x -x1)
remember m= slope value
the given point is (2, -1) therefore we can substitute the values in:
y + 1 = m(x -2)
now to make sure our answer is complete we will solve for the slope:
looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)
with any two points you can determine a slope.
y2 - y1 / x2 - x1
therefore :
-1 -3 / 2 - 0
-4 / 2 = -2
therefore our m value is -2
this makes the completed point-slope equation:
y + 1 = -2 (x - 2) or A
C. $360
$224x4=896 (total profit)
$896 (total) - $536 (first month profit) = $360 (second month profit)
If you add $15 + $27 because that's how much it costs for each student, you get $42. Then you divide $714 by $42, you get 17 and that's how many students are in the class this month.
Answer should be:
b. No; it is a reflection followed by a translation.
Hope it helps.
