Using the weighed mean formula, it is found that Mara's average for the course was of 68.6.
<h3>What is the weighed mean?</h3>
The weighed mean is given by the <u>sum of all elements in a data-set multiplied by it's weight, divided by the sum of the weights</u>.
In this problem, the weights are as follows:
- A quiz has a weight of 1.
- A test has a weight of 2.
- The final examination has a weight of 4.
Hence, her weighed mean is given as follows:
Mara's average for the course was of 68.6.
More can be learned about the weighed mean formula at brainly.com/question/24398353
Answer:
It's 64354.4 and I hope that's it .
The four common denominators are 6,12, 18 and 24.
<h3>What are fractions?</h3>
A fraction is a non-integer. It is made up of numerators and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.
<h3>What are four common denominators for the fractions?</h3>
The common denominators for the fractions are numbers that would divide both 2 and 3. This numbers can be determined by multiplying 2 and 3 and finding the multiple of the product.
2 x 3 = 6
Multiples of 6 = 6, 12, 18, 24
To learn more about multiples, please check: brainly.com/question/26030133
Answer:
The correct answer is first option 60%
Step-by-step explanation:
The radius of a circle is inscribed in an equilateral triangle with side a = a/2√3
<u>To find the area of equilateral triangle</u>
Here side be 'a'
Area of equilateral = √3a²/4
<u>To find the area of circle</u>
Here radius = a/2√3
Area = πr²
= π(a/2√3)
= 3.14a²/12
<u>To find the probability</u>
probability = area of circle/area of triangle
= 3.14a²/12/ √3a²/4
= 3.14/3√3
= 0.6043 ≈ 60.43 % 60 %
The correct answer is first option 60%
<span>(a) $7.04
(b) 704/1599
(c) 0.44
(d) 14
(e) $98.56
(a) How much profit does Lucy earn when she sells a necklace?
Since the problem states that her profit is the sale price minus the cost of materials and labor, we have the following equation.
P = $15.99 - $3.38 - $5.57
P = $12.61 - $5.57
P = $7.04
So her profit is $7.04 per necklace.
(b) Write a fraction of the profit per sale price of the necklace. Record your answer as a fraction using whole numbers.
The raw fraction is 7.04/15.99, to get rid of the decimal point, multiply top and bottom by 100, getting 704/1599.
The prime factors of 704 are 2,2,2,2,2,2,11 and the prime factors of 1599 are 3,13,41. Since neither 704, nor 1599 share any common factors, the fraction can't be reduced and the final answer is 704/1599.
(c) What decimal of every dollar of the sale price of the necklace is profit using the fraction from Part (b)?
Pardon the lack of formatting
704/1599 = 0.4403
Rounded to the nearest hundredth gives 0.44
(d) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? Show your work.
This question is asking for total cost. So divide the $223.86 by the sale price of $15.99.
$223.86 / $15.99 = 14
14 necklaces were sold.
(e) How much profit did she earn from the number of necklaces she sold? Show your work.
Since we know from (a) that she has $7.04 profit per necklace, just multiply the amount of profit by the number sold. So
$7.04 * 14 = $98.56</span>
