Given :
Peter velocity , P = 30 mph .
Mitchell velocity , M = 40 mph .
Mitchell leaves 15 min later .
To Find :
If they drive along the same route how long will it take Mitchell to catch Peter.
Solution :
Distance covered by Peter in 15 min .
Let , time taken is x .
So , distance covered b them is equal :
Therefore , time taken by them is 45 minutes .
Hence , this is the required solution .
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)
(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)
(iii) Find the position of "Greater than 0.075 kg (large size)":
<u>Check:</u> <em>288 eggs + 1476 eggs + 36 eggs = 1,800 eggs</em>
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
Learn more here: brainly.com/question/22520030
