The first sampling method is Convenient Sampling. It is biased sampling and it is not representative of a random sample.
The second sampling method is Systematic Sampling. If this method of sampling is drawn from the population, it is an efficiently randomized sampling method.
Let us review the given answers.
1. Both samples should be exactly the same.
INCORRECT
2. Neither sample will be representative.
Because the second sampling method can be random, this answer is
INCORRECT.
3. The first sampling method, ..., is the most representative,
INCORRECT
4. The second sampling method, ..., is the most representative.
CORRECT
Answer:
(3 x + 2) (5 x - 4)
Step-by-step explanation:
Factor the following:
15 x^2 - 2 x - 8
Factor the quadratic 15 x^2 - 2 x - 8. The coefficient of x^2 is 15 and the constant term is -8. The product of 15 and -8 is -120. The factors of -120 which sum to -2 are 10 and -12. So 15 x^2 - 2 x - 8 = 15 x^2 - 12 x + 10 x - 8 = 5 x (3 x + 2) - 4 (3 x + 2):
5 x (3 x + 2) - 4 (3 x + 2)
Factor 3 x + 2 from 5 x (3 x + 2) - 4 (3 x + 2):
Answer: (3 x + 2) (5 x - 4)
Answer:
Step-by-step explanation:
a)
Test statistic:
here test statistic lie in rejection region,that why null hypothesis fails
so Yes, its significant.
b)
Test statistic:
c)
sample variability increases, therefore likelihood of rejecting the null hypothesis decreases.
Answer:
4. 54- 8.5x>20
Step-by-step explanation:
Catherine only has $54, so she cannot spend more than that.
The canvas will cost at least $20, but we don't know how much exactly.
The tubes cost $8.50 each.
So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.
So, we transpose those facts into the inequity:
54 - 8.5x > 20
