Answer:
Mean = 30516.67
Standard deviation, s = 3996.55
P(x < 27000) = 0.0011518
Step-by-step explanation:
Given the data:
28500 35500 32600 36000 34000 25700 27500 29000 24600 31500 34500 26800
Mean, xbar = Σx / n = 366200 /12 = 30516.67
Standard deviation, s = [√Σ(x - xbar) / n-1]
Using calculator, s = 3996.55
The ZSCORE = (x - mean) / s/√n
Zscore = (27000 - 30516.67) / (3996.55/√12)
Zscore = - 3516.67 / 1153.7046
Zscore = - 3.048
P(x < 27000) = P(Z < - 3.049) = 0.0011518
Answer:
x = 5, -3
Step-by-step explanation:
x² - 15 = 2x
x² - 2x - 15 = 0
(x - 5)(x + 3) = 0
Answer:
Step-by-step explanation:
Answer:
probability of x is 0.22 correct to two decimal places
Step-by-step explanation:
step 1. use the poisson formula given as
p(x) = (λˣe∧-λ) ÷x! where λ is the mean and it called lambda,λ = 3, e is mathematical constant and it approximately = 2.7183, x is the chosen value which is equal to 2, Λ is raise to power, ! is factorial sign
p(x=2) =( 3² x 2.7183⁻³) ÷ 2! = 0.22
Answer: There are 99 three-legged-cows and 28 chickens.
Step-by-step explanation:
Let x be the number of three-legged-cows and y be the number of chickens.
Number of legs in chicken = 2
The according to the question, we have the following equations :-
Multiplying 2 to the equation (1), we get
Now, subtract equation (3) from (2), we get
Put x= 99 in (1), we get
Hence, there are 99 three-legged-cows and 28 chickens.
