You have invested 50,000 dollars to start a donut shop. Your cost for raw materials is 0. 65 dollars per dozen and your overhead costs are 0. 55 dollars per dozen. How many dozen must you produce before your average cost per dozen drops to 2. 45 dollars?
Answers
50 dozen donuts should be produced before your average cost per dozen drops to $2.45
Let x be the number of dozen donuts produced.
The total cost to produce x dozen donuts is:
Total cost = cost of raw materials + overhead costs
Total cost = 0.65x + 0.55x
Total cost = 1.20x
The average cost per dozen can be expressed as:
Average cost per dozen = Total cost / number of dozens
2.45 = 1.20x / x
To solve for x, we can cross-multiply and simplify:
2.45x = 1.20x
x = 50
Therefore, you must produce 50 dozen donuts before your average cost per dozen drops to $2.45.
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Answers
Answer:
diagonal of square = d = 9.899
Step-by-step explanation:
let side of square = x
diagonal of square = d
perimeter = P = 28
4 * x = P
x = 28/7
x = 7
By using Pythagorean theorem we get
x^2 + x^2 = d^2
7^2 + 7^2 = d^2
d^2 = 98
d = sqrt(98)
diagonal of square = d = 9.899
Answers
Answers
Answer:
7
Step-by-step explanation:
7 is three places to the right of the decimal point, and therefore the thousandths place
After the decimal place, this is how the order goes:
tenths, hundredths, thousandths
Take the number 1.234
1.(2)34 tenths place
1.2(3)4 hundredths place
1.23(4) thousandths place
2 is in the tenths place
3 is in the hundredths place
4 is in the thousandths place
Good luck :)
(Sorry for the first answer I gave, I didn't read that clearly...)
B. 21.743.
C. 5.217.
D. 6.815.
Answers
The answer is C.
Answers
g(x) = (x^2 +2)(x-8)
g(x)=x^2 + 2(x-8)
g(x) x^2 +2x - 8
I will work with the last one, so my system of equation is:
f(x) = - x +2.5
g(x) = x^2 + 2x - 8
f(x) = g(x) ⇒ - x + 2.5 = x^2 + 2x - 8
x^2 + 3x - 8 - x - 2.5 = 0
x^2 + 3x - 10.5 = 0
Use the quadratic formula to solve for x:
x = [ - 3 +/- √(3^2) - 4(1)(-10.5) ]/2
x = - 5.07 and x = 2.07
The solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x) = -x + 2.5
g(x) = x² +2(x - 8)
f(x) = g(x)
-x + 2.5 = x² +2(x - 8)
After simplification:
x² + 3x - 18.5 = 0
After solving, we get:
x = 3.055 or x = -6.055
Thus, the solution of the equation f(x) = g(x) are x = 3.055 or x = -6.055 if the f(x) = -x + 2.5 and g(x) = x² +2(x - 8)
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Answers
Answer:
The answer is given below
Step-by-step explanation:
a) What is the probability that a randomly selected pregnancy lasts less than 242 days
First we have to calculate the z score. The z score is used to determine the measure of standard deviation by which the raw score is above or below the mean. It is given by:
Given that Mean (μ) = 247 and standard deviation (σ) = 16 days. For x < 242 days,
From the normal distribution table, P(x < 242) = P(z < -0.3125) = 0.3783
(b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.
If a sample of 17 pregnancies is obtained, the new mean the new standard deviation:
c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 242 days or less
From the normal distribution table, P(x < 242) = P(z < -1.29) = 0.0985
d) What is the probability that a random sample of 49 pregnancies has a mean gestation period of 242 days or less?
From the normal distribution table, P(x < 242) = P(z < -2.19) = 0.0143
(e) What might you conclude if a random sample of 49 pregnancies resulted in a mean gestation period of 242 days or less?
It would be unusual if it came from mean of 247 days
f) What is the probability a random sample of size 2020 will have a mean gestation period within 11 days of the mean
For x = 236 days
For x = 258 days
From the normal distribution table, P(236 < x < 258) = P(-3.07 < z < 3.07) = P(z < 3.07) - P(z < -3.07) =0.9985 - 0.0011 = 0.9939