Answer:
100 in²
Step-by-step explanation:
The area of the banner is equal to the area of the initial rectangle minus the area of the cutout triangle.
The rectangle has a height of 8 inches and width of 14 inches, so its area is:
A = (8 in) (14 in) = 112 in²
The triangle has a base of 8 inches and a height of 3 inches, so its area is:
A = ½ (8 in) (3 in) = 12 in²
So the area of the banner is 112 in² − 12 in² = 100 in².
5 hours + 4 hours = 9 hours
30 minutes + 45 minutes =75 minutes
60 minutes in an hour, so 75 minutes =1 hour and 15 minutes, or 1.25 hours
9 hours + 1.25 hours =10.25 hours or 10 hours and 15 minutes.
Possibilities of outcomes:
5, 5, 5
5, 5, 4
P(sum at least 14) = P(5,5,4) + P(5,5,5)
= 1/4 x 1/4 x 3/20 + 1/4 x 1/4 x 1/4
1/40
Answer:
5901
Step-by-step explanation:
The margin of error is the critical value times the standard error.
ME = CV × SE
For α = 0.05, the critical value is z = 1.96.
The standard error of a proportion is √(pq/n). Given p = 0.04, then q = 1−p = 0.96.
The margin of error is 0.5% or 0.005.
Plugging in:
0.005 = 1.96 √(0.04 × 0.96 / n)
n ≈ 5901