Let x be the number of movies rented
Let y be the number of video games rented
(5x+2y=26)4
- 3x+8y=53
20x+8y=104
-3x+8y=53
-----------------
17x =51
x=51/17
x=3
5x+2y=26
5(3)+2y=26
2y=26-15
y=11/2
y=5.5
Therefore, the movies cost $3 and the video games cost $5.5
Hope I helped :)
Answer:
378 and 380
Step-by-step explanation:
The two even consecutive numbers that add up to 758 are going to be very close to half of 758. This is because two half of 758 are going to be the most similar addends of 758. This is important because the answers will be consecutive and therefore, must also be very similar. To solve, first, divide 758 by 2. This is 379, which is not an even number. So, to find the needed addends subtract and add 1 to 379. Both of these will be even and consecutive. These two numbers are 378 and 380. Then, to check you, can add them and see that they do sum 758.
Answer:
The confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
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 
.
Of the 500 surveyed, 350 said they were going to vote for the Democratic incumbent.
This means that 
80% 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 confidence limits for the proportion that plan to vote for the Democratic incumbent are 0.725 and 0.775.
