A quick way to do this is by recalling the fact that

, so the largest value that

alone (for any real value of

) can take on is 1.
This means

, and so

.
So the maximum value of this function is 7.
Answer:
The two conditional probabilities are not equal because each has different given events. P(A|D) has event D as its given event, resulting in 2/10 for a probability. P(D|A) has event A as its given event, resulting in 2/8 for a probability.
Other part is:
different given events
P(A|D) equals 2/10
P(D|A) equals 2/8
Answer:
Answer: 15 cm in one minute. Step-by-step explanation: If the ant travels at 30 cm every two minutes, then divide both numbers by two to get the unit rate, which is 15 I'm per minute
The ratio of males to females is 1.4 : 1, so the fraction of the total that is made up of males is 1.4/(1.4 + 1) = 1.4/2.4 = 7/12.
There were (7/12)*475 ≈ 277 males at the party.
There were 475 - 277 = 198 females at the party.
Answer:
y = -1/4x + 4
Step-by-step explanation:
(8,2) and (-4, 5)
Slope = (5 - 2)/(-4 - 8)
= 3/-12 = -1/4
Point (8,2)
b = 2 - (- 1/4)(8)
b 2+ 2 = 4