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:
6.79
Step-by-step explanation:
First of all, you will have to know how much is 3% of 7 in order to decrease it by that amount.
7 x 0.03 = 0.21
Now that you know the amount, you can subtract it from seven and therefore you have decreased 7 by 3%.
7 - 0.21 = 6.79
Answer:
Pythagoras theorem.
hypotenuse²=height²+base²
x²=15²+12²
x²=225+144
x²=329
x=329½
x=19.20
The last one is the answer
(x+3,y+1)
good luck
Answer:
Step-by-step explanation:
f(x)=4/5x^2+12x
For f(5)
: f(x) = 4/5(5)2 + 12(5)
= 4/5 × 25 + 60
= (4×5) + 60
= 20 + 60
= 80