The answer is 2. You write the number in exponential form with a base of 2, then reduce the index of the radical and exponent with 4. Use photomath if you need more help with explanations.
Answer:
a) 19 batches
b) $0.18
Step-by-step explanation:
A 4-pound bag of sugar contains 4 54 one-teaspoon servings and costs $3.49. A batch of muffins uses 1/2 cup of sugar.
1 cup = 48 teaspoons
a) How many whole batches can you make if you use as much of the sugar as possible?
1 batch = 1/2 cups of sugar = 24 teaspoons of sugar
Hence,
24 teaspoons of sugar = 1 batch
454 one-teaspoon servings = x
Cross Multiply
24 × x = 1 × 454
x = 454/24
x = 18.9166666667
Approximately to whole batches = 19 batches
b) What is the cost of sugar for each batch?
454 one-teaspoon servings and costs $3.49 = 19 batches
Hence
19 batches = $3.49
1 batch = x
x= $3.49/19
x = $0.18368421052
Approximately = $0.18
Volume of a cylinder is formulated as: π·r²h
Surface area of a cylinder is formulated as: 2π·rh + 2π·r²
So, for a:
Volume = π·5²·12 = π·25·12 = 300π
Surface area = 2π·5·12 + 2π·5² = 120π + 50π = 170π
And it's essentially the same process for the other questions.
Answer:
42666 cases
Step-by-step explanation:
P = (Marginal Loss)/ (Marginal Loss + Marginal Profit)
P = (35)/(35+15) = 0.7
Considering a normal distribution we can find the corresponding z value by P = 0.7 (which represented the shaded area under the curve)
z = 0.5244
z = (X - Mean Sales)/Standard Deviation
-0.5244 = (X - 45000)/4450
X = 42666.42 ≅ 42666
