The movement of the minute hand is circular.
Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec
The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>
D=3.663≈3.66 inches
Good luck!!!
Answer:
Step-by-step explanation:
The given polynomial equation is
We perform the synthetic division as shown in the attachment by dividing by x-2.
This gives a remainder of 0 and a quotient of
This means the polynomial equation becomes:
We factor the quadratic term by splitting the middle term;
Collect common factors again:
The solution is:
We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
Answer:
x ≤ 18
Step-by-step explanation:
The ≤ symbol means "greater than or equal to". Since it is 'no more' than 18, that means it can be 18 or less. Thus, less than OR equal to. Hope I helped.
F(-1) = 3
How did I figure this out?
f(-1) is substituted for f(x) so you must look at -1 on the x axis.
Once you've located -1 on the x-axis, locate what it equals to answer the question.
The answer should be the y-axis number that corresponds to -1 which is 3.
