Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
Answer:
95% Confidence interval: (14.4537 ,15.1463)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 feet
Sample mean, 
= 14.8 feet
Sample size, n = 16
Alpha, α = 0.05
Sample standard deviation, σ = 0.65 feet
Degree of freedom = n - 1 = 15
95% Confidence interval:
Putting the values, we get,
is the required confidence interval for the true mean length of rods.
Answer:
600:450:450
Step-by-step explanation:
8+6+6= 20
1500/20=75
8*75= 600
6*75= 450
6*75=450
Check:
600/75= 8
450/75= 6
450/75=6
Answer:
14.67 gram
Step-by-step explanation:
Henry has two pixie sticks full of delicious sugar.
Now, each pixie stick contains 22 grams of sugary goodness, then in two sticks, there will be (22 × 2) = 44 grams of sugar.
Now, Henry shares two pixie sticks among two friends and himself in equal proportion.
Therefore, each of his friends will get 
(Round to the nearest tenth) gram of sugary goodness. (Answer)
Answer:
Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
Step-by-step explanation:
Samantha will be offered the choice of using the coupon or the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.
The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.
