Answer:
58.05% probability that at least 1 of the students is a senior.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the captains are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Either no seniors are captain, or at least one is. The sum of these probabilities is 100%. The easier way to solve this question is finding the probability of no seniors being captain, and subtratcing 100 from this. So
Probability of no seniors being captain:
Desired outcomes:
Four captains, from a set of 18 + 18 + 15 = 51. So
Total outcomes:
Four captains from a set of 18 + 18 + 15 + 12 = 63. So
Probability:
41.95% probability of no seniors being captains.
Find the probability that at least 1 of the students is a senior.
p + 41.95 = 100
p = 58.05
58.05% probability that at least 1 of the students is a senior.
X=12, because when you use the constant of proportionality, which in this case is three, that’s what you multiply by 4 in the numerator side to equal 12.
Answer:
should be the third (81,90)
Step-by-step explanation:
G(x) = x² is the parent square function.
It has its vertex at origin and opens upwards.
The given graph is obtained by shifting the graph of x² 2 units vertically down. This vertically translation can be expressed by subtracting 2 from the parent function.
So,
F(x) = G(x) - 2
F(x) = x² - 2
Thus the correct option is A
The radius is 3
center is (-3,3)
Step-by-step explanation:
start at (0,0) go left 3 then up 3 put a point there. Then from that point go up, left, right, and down 3. It should be a circle.