This is a case of joint probability: you want to know what the odds are of this event AND that event occurring. For a joint probability, the formula is usually given as:
P(A and B)=P(A)*P(B)
where P(A) is the probability of event A happening, P(B) is the probability of event B happening, and P(A and B) is the probability of both happening.
For this problem, let's say that event A is the probability that the spinner stops at the green color. Since the spinner has 3 colors and they have equal area (sector) occupied in the circle, each color has the same chance, 1/3 chance of being picked. Thus, there's a 1/3 chance of the spinner stopping at the green color so P(A)=1/3.
Event B is the probability of Jordan picking up the yellow card. There are six possible colors to pick and since Jordan picked up the card without peeking, each color has an equal chance to be picked. Thus, there's a 1/6 chance that the yellow card will be selected so P(B)=1/6.
Using the formula, we can then calculate P(A and B), the probability that the spinner stops at green and a yellow card is selected:
P(A and B)=P(A)*P(B)=1/3*1/6=1/18
Answer:
f(x) = 3x - 7
Step-by-step explanation:
Let the independent variable of a function is 'y' and dependent variable 'x'.
Therefore, function will be in the form of y = ax - b
Now statement given in the question states that "The output is 7 more than 3 times the input."
That means y is 7 less than 3 times of x.
y = 3x - 7
Rewrite this equation in the form of a function.
f(x) = 3x - 7
Answer:
Jumping Jacks:7,<u>21,28</u>,42
Push-ups:2,6,8,<u>12</u>
Answer:
undefined
Step-by-step explanation:
(y2-y1)/(x2-x1)
replacing x and y with the given value:
(-4-1)/(8-8)
-5/0
the slope is undefined because the run is 0
Answer:
Does not exist
Step-by-step explanation:
Apply the divergence test.
⇒ diverges
If an infinite series is a divergent sequence, <u>it has no limit.</u>
~Hope this helps!~
