Answer:
Step-by-step explanation:
The angles are equal to each other (vertical angles)
Hence:
9y + 7 = 2y + 98
9y - 2y = 98 - 7 (Minus both sides by 2y and 7)
7y = 91 (Simplify)
y = 13 (Divide both sides by 7)
Answer:
15033
Step-by-step explanation:
14,406 -(-627)
Answer:
The margin of error is of 0.038 = 3.8%.
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:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The margin of error is:



The margin of error is of 0.038 = 3.8%.
<u>8th Grade: </u>90 x 0.80 = 72
<u>7th Grade:</u> 80 x 0.75 = 60
Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.
Hanna bought 85 candies and ate 20 of them. How many candies are left?