The GCF of 7 and 14a is 7, so the factors are:-
7(1 + 2a)
1) Calculate the whole arc (complete circumference):
Circumference = 2π*radius
radius = 6 foot
=> Circumference = 2 * 3.14 * 6 foot = 37.68
2) Calculate the time to make a whole round, by making a proportion with the two ratios:
ratio 1 = x / 37.68 =
ratio 2 = 3 / 14.13
ratio 1 = ratio 2 =>
x 3s
---------- = -----------
37.68 ft 14.13 ft
=> x = 3 * 37.68 / 14.13 = 8 s
3) Calcuate the angular velocity as the 2π rad (which is the total angle of a circle) divided by the time.
So the angular velocity is 2π rad / 8 s = 2*3.14 foot / 8 s = 0.785 rad / s
Answer: 0.785 rad / s
Using V = ⅓[base area×height]
V= ⅓[ (5.5÷4)² × 2.6]
v= ⅓[ 4.92]
v = 1.6m³
The answer is A)1/2[sin(4x)+sin(2x)]
Answer:
d. each trial has exactly two outcomes whose probabilities do not change
Step-by-step explanation:
A binomial experiment is one where there are exactly two outcomes for each trial and probability for getting success is constant in each trial.
In other words, each trial is independent of the other.
The trials need not be continuous nor time between trials to be constant.
Since trials are to be independent, each trial cannot influence the next.
Only option d is right.
d. each trial has exactly two outcomes whose probabilities do not change
Examples are tossing of coins, throwing dice, drawing cards or balls with replacement, etc
