Answer:
a) 0.6
b) 0.3
Step-by-step explanation:
Since we are taking 3 from a sample of 5 without replacements, we would have 5 choices for the first pick, 4 choices for the 2nd pick and 3 choices for the 3rd pick. The total possible number of ways to do this is:
5*4*3 = 60 ways
As order does not matter (GLS is the same as GSL), we divide this by the number of ways the 3 picks can be arrange, which is 3*2*1 = 6
So there are 60/6 = 10 possible samples
(a) If the governor is included in the sample, then we only have 4 choices for the 2nd pick and 3 choices for the 3rd pick. And there are also 2 ways to arrange this.
So there are 4*3/2 = 6 possible samples. The probability of this happening is 6/10 = 0.6
(b) If G and A are included, we only have 3 choices for the last pick. So the probability of this to happen is 3/10 = 0.3
Answer:
33 square units
Step-by-step explanation:
4 triangles - 1/2 * 3 * 4 = 24
base is 3 * 3 = 9
24 + 9 = 33
Answer:
Step-by-step explanation:
Given that:
The number of observations is:
6, 10, 12
If we are to use a simple random sampling without replacement, then we will have:
(6,10) (6,12) (10,12)
Here;
the sample size n = 2
The population size N = 3
For (6,10) ; The sample mean = 
= 
= 8
For (6,12) ; The sample mean = 
= 
= 9
For (10, 12) ; The sample mean = 
= 
= 11
The probability distribution of sample mean(x) is:
X 8 9 11
P(X=x) 
Thus, the probability that the sample mean is larger than 8 is:
P(X> 8) = P(X = 9) + P(X + 11)
P(X> 8) = 
P(X > 8) = 
P(X> 8) =
Answer:
B) 4.5
Step-by-step explanation:
The area of the first figure is 10x
The area of the second figure is 6(x+3)=6x+18
To solve, find the x that makes 10x=6x+18
1) 10x=6x+18
2) 4x=18
3) x=4.5
To check work)
1) 10(4.5)=6(4.5)+18
2) 45=27+18
3) 45=45
To find the average weight, you need to add all of the numbers and then divide them
I'll start off by doing this:
1/8+1/8 = 2/8
1/4+1/4+1/4+1/4 = 1
3/8+3/8 = 6/8
1/2+1/2 = 1
then I'll add them together:
2/8+6/8 = 1
1 + 1 + 1 =3
now we need to divide the amount of numbers. the amount of sandwiches weighted (10) will have to be divided
therefore, we get 3/10. because this can't be simplified, this will be your final answer.
