Answer:
- 5/13
Step-by-step explanation:
tans = 5/12 = height/base
Using Pythagoras, hypotenuse = √12² + 5² = 13
Therefore coss had to be 12/13
But since cos s < 0, cos s = - 12/13
Thus,
tanA = sinA/cosA
tanA cosA = sinA
(5/12)(- 12/13) = sinA
- 5/13 = sinA
Answer:
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
Step-by-step explanation:
What is Confidence Interval?
The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.
The confidence interval is given by

Where
is the mean weight
is the standard deviation
is the critical value from t-table and n is the sample size.
The term
is known as margin of error.
As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.
The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.
We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).
Subtract the sale price from the original price then divide the difference by the original price.
Guitar 1: 160 -100 = 60
60/160 = 0.375 x 100 = 37.5%
Guitar 2: 250 - 150 = 100
100/250 = 0.4 x 100 = 40%
The answer is the second guitar has a greater percent change of approximately 40%