Answer:
The 99% confidence interval for his expected proportion of the vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
For this problem, we have that:
99% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for his expected proportion of the vote is (0.5516, 0.6336). Since the interval for the proportion is above 50%, he would be confident of winning based on the pool.
26 - 2b > 2(3b + 4) |use distributive property: a(b + c) = ab + ac
26 - 2b > 6b + 8 |subtract 26 from both sides
-2b > 6b - 18 |subtract 6b from both sides
-8b > -18 |change signs
8b < 18 |divide borh sides by 8
b < 18/8
b < 9/4
b < 2.25
Answer: 12/13
Step-by-step explanation:
In a deck of cards there are 4 of each number. Therefore there are 4 sevens in the deck. 4/52 are 7, but you want the probability of getting a card that IS NOT 7. That means there are 48 cards that aren’t a 7. 48/52 is the probability. But you can simplify this by finding a number that divides evenly into both, which in this case is 4. This simplifies to 12/13.
20.70-23.80=x+y= year three and x equals how much they make per a year...
Glad I could help:)
Answer:
10x + 24
Step-by-step explanation:
distribute first to remove parentheses:
4x + 12 + 6x + 12
now combine 'like terms':
10x + 24
