
First, solve the parentheses:

Next, the exponential terms

Solve the multiplication:

Add and subtract:
Answer:
Step-by-step explanation:
We can calculate this confidence interval using the population proportion calculation. To do this we must find p' and q'
Where p' = 14/100= 0.14 (no of left handed sample promotion)
q' = 1-p' = 1-0.14= 0.86
Since the requested confidence level is CL = 0.98, then α = 1 – CL = 1 – 0.98 = 0.02/2= 0.01, z (0.01) = 2.326
Using p' - z alpha √(p'q'/n) for the lower interval - 0.14-2.326√(0.14*0.86/100)
= -2.186√0.00325
= -2.186*0.057
= 12.46%
Using p' + z alpha √(p'q'/n)
0.14+2.326√(0.14*0.86/100)
= 0.466*0.057
= 26.5%
Thus we estimate with 98% confidence that between 12% and 27% of all Americans are left handed.
The markup percentage is .40778 -> 40.778%
$4015 = current price ; $2852 = original price
To find the mark up percentage:
First, find the difference between the current price and original price.
$4015 - $2852 = $1163
Second, divide the price difference by the current price to get the percentage.
1163/2852 = .40778
Check the math by multiplying the original price by the markup percentage and add the original price to it.
$2852 X .40778 + $2852 = $4015
Answer:
see below
Step-by-step explanation:
Plot the points on the given graph. The ones that fall in on a solid line at the edge of the doubly-shaded area, or fall in the doubly-shaded area, are part of the solution set.
(0, 4) on the dashed line — not a solution
(-2, 4) on red line in blue area — solution
(0, 5) in doubly-shaded area — solution
(–2, 7) in doubly-shaded area — solution
(–4, 1) in blue area — not a solution
(–1, 1) on red line outside blue area — not a solution
(–1.5, 3.5) in doubly-shaded area — solution