Jennifer is saving money to buy a bike. The bike costs $223. She has $115 saved, and each week she adds $18 to her savings.
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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)":
- 1 standard deviation below the mean = m - d
- m - d = 0.06 kg - 0.009 kg = 0.051 kg
(<em>the </em><em>standard size</em><em> is 1 standard deviation below the mean</em>)
- less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samples
- Number of standard size = 0.16 x 1800 = 288 eggs
(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
- 0.052 kg is 1 standard deviation below the mean
- 2 standard deviation above the mean = m + 2d
- m + 2d = 0.06 + 2(0.009) = 0.078 kg
(<em>the </em><em>medium size</em><em> is between 1 std below the mean and 2 std above the mean</em>)
- Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%
- Number of medium size = 0.82 x 1800 = 1,476 eggs
(iii) Find the position of "Greater than 0.075 kg (large size)":
- 0.078 kg is 2 standard deviation below the mean
- greater than 2 std above the mean in a normal distribution = 2 % of the data samples
- Number of large size = 0.02 x 1800 = 36 eggs
<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
Answer:
, or x-2y=14
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (2, -6) and is parallel to the line x-2y=8
First, we need to find the slope of x-2y=8, since parallel lines have the same slopes
We can convert the equation from standard form (ax+by=c) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept), in order to help us find the slope of the line
Start by subtracting x from both sides
-2y=-x+8
Divide both sides by -2
y=-4
The slope of the line x-2y=8 is 1/2
It's also the slope of the line parallel to it.
Since we know the slope of the line, we can plug it into the equation for slope intercept form:
Now we need to find b.
As the equation of the line passes through (2, -6), we can use it to help solve for b
Substitute -6 as y and 2 as x:
Multiply
-6=1+b
Subtract 1 from both sides
-7=b
Substitute -7 as b into the equation:
The equation can be left as that, or you can convert it into standard form if you wish.
In that case, you will need to move 1/2x to the other side:
A rule about the coefficients a, b, and c in standard form is that a (coefficient in front of x) CANNOT be negative, and every coefficient must be an integer (a whole number, not a fraction or decimal).
So multiply both sides by -2 in order to clear the fraction, as well as change the sign of a
x-2y=14
Hope this helps!