Answer:
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
Step-by-step explanation:
Given that 20% of the residents in a certain state support an increase in the property tax.
Sample size = 400
We want the sample proportion to be within 0.04 of the true proportion (i.e., between 0.16 and 0.24)
i.e. margin of error <0.04
Std error of sample = 
Critical value = margin of error/ std error = 
We know z value for 95% two tailed roughly equals 2.
Hence 95% confidence is right.
C) There is roughly a 95% chance that the resulting sample proportion will be within 0.04 of the true proportion.
There are C(5,2) = 10 ways to choose 2 contraband shipments from the 5. There are C(11, 1) = 11 ways to choose a non-contraband shipment from the 11 that are not contraband. Hence there are 10*11 = 110 ways to choose 3 shipments that have 2 contraband shipments among them.
There are C(16,3) = 560 ways to choose 3 shipments from 16. The probability that 2 of those 3 will contain contraband is
110/560 = 11/56 ≈ 19.6%
_____
C(n,k) = n!/(k!(n-k)!)
Answer:
40
Step-by-step explanation:
Let
x = number of apples.
y = number of oranges.
we have to write the following equation to represent the problem:
4x + 6y = 15
To satisfy the equation, Jon must have used
x = 2.25
y = 1
Substituting
4 (2.25) +6 (1) = 15
9 + 6 = 15
answer
Jhon used 2.25kg of apple and 1kg of orange to make the salad.
Note: Since the problem does not have any other restrictions, there may be several apple and orange combinations that cost $ 15 per salad.
