Answer:
a) 1 / 12
b) 1 / 4
Step-by-step explanation:
The events are independent since they do not affect each other. The total probability of two independent events is the product of the probabilities of the two events.
a) When rolling a die, there are 6 outcomes, the numbers 1 - 6. There is only 1 outcome where you can get a 2. Therefore, the probability of rolling a two is 1/6.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with heads. The probability of getting head would be 1 / 2.
To find the the total, you multiply the probabilities of the two events: 1 / 6 * 1 / 2 = 1 / 12
b) As stated before, when rolling a die, there are 6 outcomes, the numbers 1 - 6. There are 3 outcomes where she can roll an even number: the numbers 2, 4, or 6. So, the probability of rolling an even number is 3 / 6 or 1 / 2.
When flipping a coin, there are two ways it can land: heads or tails. And there is one outcome with tails. The probability of getting tails would be 1 / 2.
Now, you multiply the two probabilities to get the total probability: 1 / 2 * 1 / 2 = 1 / 4
Answer:
$8.00
Step-by-step explanation:
Answer:
17, no remainders.
Step-by-step explanation:
Answer:
Option C. approaches but does not cross.
Step-by-step explanation:
In Maths, an asymptote is a line that the graph (a drawing that shows two sets of related amounts) of a function (e.g. x=1/x) approaches but does not cross (or intersect). The image below illustrates such concept.
Answer:
3.5
Step-by-step explanation:
The attached shows the perpendicular bisector to have a slope of m = -1/2 and a y-intercept of b = 4.
m+b = (-1/2) +4 = 3.5
_____
The difference of coordinates of the two points is ...
B-A = (-5, 4) -(-3, 8) = (-2, -4)
Then the rise/run ratio is (-4)/(-2) = 2. The slope of the perpendicular bisector will have a slope (m) that is the negative reciprocal of this:
m = -1/2
__
The average of the coordinates of the two points is ...
(B+A)/2 = ((-5, 4) +(-3, 8))/2 = (-8, 12)/2 = (-4, 6)
Then the point-slope form of the equation of the perpendicular bisector can be written ...
y = (-1/2)(x +4) +6 = (-1/2)x -2 +6
y = (-1/2)x +4
So, the y-intercept is b = 4, and ...
m + b = (-1/2) +4 = 3 1/2
m + b = 3.5