Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.
For z₁
Magnitude = 4
Argument = π/3
For z₂
Magnitude = 3
Argument = 2π/5
So, the product of z₁ and z₂ will be:
Answer:
x = 4
Step-by-step explanation:
2.25x=1.5x+6
divide on both sides by 1.5x which equals
1.5x=6
divide both sides by 1.5
x=4
Answer:
10 1/9
Step-by-step explanation:
To make it easier to answer, make both of them into an improper fraction
4 1/5 = 21/3
1 4/9 = 13/9
Now we can multiply them easier
21/3 x 13/9 = 273/27
27 goes into 273 10 times and the left over is 3 so the mixed fraction would be
10 3/27, to simplify
10 1/9
