Answer:
D
Step-by-step explanation:
A rational number is a number that can be written in the form:

Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:

This number cannot be written a ratio. We can rule out option 2.
All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.
Answer is C) 6
36 + 3(4x - 9) = 6(2x + 1)
36 + 12x - 27 = 12x + 6
12x - 12x = 6 - 9
0 ≠ -3
No solution
Answer:
The confidence Interval = (0.329, 0.391)
Step-by-step explanation:
Formula for the Confidence Interval for proportion =
p ± z × √p(1 - p)/n
where
p = x/n
From the question
n = 900 people
x = 36% of 900 people
= 36/100 × 900
= 324
z = z score of 95% confidence Interval
z = 1.98
p = x/n
= 324/900
= 0.36
Confidence Interval = p ± z × √p(1 - p)/n
= 0.36 ± 1.96 × √0.36 (1 - 0.36)/900
= 0.36 ± 1.96 ×√0.36 (0.64)/900
= 0.36 ± 1.96 × √0.000256
= 0.36 ± 1.96 × 0.016
= 0.36 ± 0.03136
Confidence Interval = 0.36 ± 0.03136
= 0.36 - 0.03136
= 0.32864
Approximately to 3 decimal places = 0.329
= 0.36 + 0.03136
= 0.39136
Approximately to 3 decimal places = 0.391
Therefore, the 95% confidence interval for the population proportion of people who believe the governor broke campaign financing laws = (0.329, 0.391)
To solve this problem, all we need is the conversion
factor.
We know that there are:
1 liter = 202.884 teaspoons
Therefore the mass of Phenobarbital is:
mass = (2 grams / 1 Liter) * (1 teaspoon) * (1 Liter /
202.884 teaspoons)
<span>mass = 0.00986 g = 9.86 x 10^-3 g = 9.86 mg</span>