Answer: ¢=68.2
Step-by-step explanation:
y(t) = 2sin4πt + 5cos4πt
Let , x = Asin¢ = 5
y = Acos¢ = 2
A = sqrt(5²+2²)
A= 5.39
y(t) = Acos¢sin4πt + Asin¢cos4πt
From Trigonometry rule,
y(t)= Asin(wt +¢)
tan¢ = 5/2
¢ = arctan(5/2) = 68.2°
y(t) = 5.39sin(wt + 68.2)
Where w = 4π
The angle ¢= 68.2°
Answer:
The expected number of ducks that escape unhurt is:
5
Step-by-step explanation:
First the process is binomial process. Having said this, we have 10 hunters, and 10 ducks flying overhead while the hunter take their shot at the same time.
By expected value, we mean average or mean. And the mean of a binomial distribution is:
Mean => E(x) = np.
We must also know that there is only two probability possibilities:
1. The hunter hits the duck (p)
2. The hunter misses the duck (1-p) = q.
Hence;
p = 1/2, and (1-p) = 1/2.
Therefore;
E(x) = np; where n is the total number of hunter.
E(x) = 10*(1/2) = 5
The expected number of ducks that escape unhurt is 5
Answer:
100
Step-by-step explanation:
Answer:
standard form is 6x−11y=13
Answer:
$24, $30, $36
Step-by-step explanation:
First we need to find the unit rate.
1. 18÷3 = 6
So that means one taco costs $6.
6*4 = 24
6*5 = 30
6*6 = 36
