Answer:
To find the percent of change, divide the difference by the original amount.
Step-by-step explanation: The difference is 20-19=1. Divide this by the original to get 0.05. This means you got a 5% discount (move the decimal two places)
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Answer:
3 : 7
Step-by-step explanation:
Let the radii be 3x, 7x.
Circumference = 2πr, where r = radius
Thus, ratio of circumference:
2 × π × 3x : 2 × π × 7x
= 3 : 7
( as 2, π and x get cancelled out)
Answer:
C) 4
Step-by-step explanation:
Answer:
95% confidence interval will be narrower.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 50
95% confidence interval for average alcohol content:
a) 90% confidence interval
- If we calculate a 90% confidence interval, then the confidence interval become narrower because we decreased the confidence percentage.
- This would decrease the margin of error.
- Hence, the confidence interval become narrower.
