Answer:
Mean = 20
Variance = 16
Step-by-step explanation:
Solution:-
- Let X be the number of customers paying with a debit card. X has the binomial distribution with n = 100 trials and success probability p = 0.2
- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:
P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)
for values of x = 0, 1, 2, ..., n
P[X = x] = 0 for any other value of x.
- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.
- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.
X ~ Binomial( n = 100 , p = 0.2 )
- The mean of the binomial distribution is n * p = 20
- The variance of the binomial distribution is n * p * (1 - p) = 16
Could you take a photo of the drawing?
Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:

Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Answer:
It would be D
ƒ(x) = 20,000 * (0.93) ^ x
Where ^x means to the power of x
Step-by-step explanation:
Answer:
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Step-by-step explanation: