Answer:
1/4669920
Step-by-step explanation:
First if all, when repetition is mot allowed, we use Permutation to get the number of possible outcomes as follows;
P(n, r) = n!/(n - r)!
Now, the order is important since the first, second, third and fourth prizes are different.
Thus, we need to define the Permutation.
We need to select 4 winners of the 48 people.
Thus, n = 48 and r = 4
Thus;
P(48,4) = 48!/(48 - 4)!
P(48,4) = 4669920
Now, probability is the number of favourable outcomes divided by number of possible outcomes
Thus,
Probability = 1/4669920
Answer:
Option a) f(x)=x^2
Step-by-step explanation:
The parent function that can be used to graph the function f(x)=-9(x+5)^2 is f(x)=x^2
Answer:
The answers are on the image shown.
remember that all the angles of a triangle add up to 180
Step-by-step explanation:
hope this helps
Answer:
E) 166
Step-by-step explanation:
Standard deviation is 10
Margin error for the problem is 2
Probability 99%, that means thet the siginficance level α is 1 – p
α = 1 – 0.99 = 0.01
margin of error (ME) can be defined as follows
ME = Z(α/2) * standard deviation/ √n
Where n is the sample size
Z(0.01/2) = Z(0.005)
Using a z table Z = 2.576
Now, replacing in the equation and find n
2 = 2.576 * 10/ √n
2 = 25.76 /√n
√n = 25.76 /2
√n = 12.88
n = 12.88^2
n = 165.89 ≈166