So we know that they spend $100 on the candles. In order to make a $125 profit, they must sell $225 worth of candles. Each candle sells for $4.50, so:
4.5x > 225 is the inequality for that. It just means $4.50 times the number of candles has to be more than the $225 we need. To simplify it, just divide both sided by 4.5:
x > 50
They have to sell more than 50 candles. Make sense?
Answer:
95% Confidence interval: (31.32%,47.04%)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 148
Number of people who sleep for 8 hours or longer, x = 58
95% Confidence interval:
Putting the values, we get:
(31.32%,47.04%) is the required 95% confidence interval.
The formula to find the area of a sector = Ф*r²/2
Ф to be in radian, here Ф=45° =π/4
sector = 1/2(π/4)x 100
sector = 39.27 ≈39.3° (B)
2 gallons 25% of 4 is 1 so there is about 1 gallon of pure in there no so adding two will make 3 gallons of antifreeze bringing total to 6 gallons 3/6 = .5 boom bam 50%
P is the point (2,k)
PA = PB
PA = √(49 + (2-k)²) and PB = √(1 + (6 - k)²)
√(49 + (2-k)²) = √(1 + (6 - k)²) => (49 + (2-k)² = (1 + (6 - k)²
=> 49 + 4 - 4k + k² = 1 + 36 - 12k + k² => 8k = 37 - 53 = -16 => k = -2
