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lubasha [3.4K]
4 years ago
10

McCoy Brothers manufactures and sells two products, A and Z in the ratio of 5:2. Product A sells for $86; Z sells for $124. Vari

able costs for product A are $45; for Z $49. Fixed costs are $429,500. Compute the contribution margin per composite unit.
Mathematics
1 answer:
Vinil7 [7]4 years ago
5 0

Answer:

the contribution margin per composite unit is $365

Step-by-step explanation:

The computation of the contribution margin per composite unit is shown below:

= Contribution margin per unit for product A × ratio of A + Contribution margin per unit for product B × ratio of B

= ($86 - $45) × 5 + ($124 - $49) × 2

= $205 + $160

= $365

Hence the contribution margin per composite unit is $365

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If you flip a fair coin 4 times, what is the probability that you will get exactly 2 tails
Ilia_Sergeevich [38]

Answer:

<h3>The answer is <u>3/8</u> NOT 50%</h3>

Step-by-step explanation:

One way to solve this problem is to figure out how many ways you can get exactly 222 tails, then divide this by the total number of outcomes you could have gotten. Since every outcome has equal probability, this will be the probability that you will get exactly 2 tails.

How many outcomes are there where you get exactly 2 tails? Try thinking of each outcome as a 4-letter word, where the first letter is "H" if the first coin toss was heads and "T" if it was tails, and so on.

So, the number of outcomes with exactly 2 tails is the same as the number of these words which have 2 T's and 2 H's.

How many of these are there? If we treat all the letters as unique, we'll find that there are 4! different arrangements, overcounting 2! times for every time we only switch the T's around, and 2! times for every time we only switch the H's around.

So, there are <u>4!/2!2!</u> = 6  

​  

<u>4!/2!2!</u>= 6 different outcomes where you get exactly 2 tails.

Altogether, there are 2^4 = 16 total possible outcomes.

So, the probability that you will get exactly 2 tails is <u>6/16</u> = 3/8

​  

4 0
3 years ago
Nina has prepared the following two-column proof below. She is given that ∠OLN ≅ ∠LNO and she is trying to prove that OL ≅ ON. S
Anit [1.1K]
Step number 3 should really be step number 7, it should be placed after step 4, 5, and 6. The reason is because we won't know that ∠LEO ≅ ∠NEO until after we learn that LE ≅ EN. Because of this, step 3 is in the wrong spot (mistake number one). The secod mistake is that step 7, triangle OLE ≅ triangle ONE is congruent by Angle-Side-Angle (ASA) Postulate, not Side-Angle-Side (SAS) Postulate. It is congruent by ASA because we know that both triangles have equal angles N and L. We also know that the perpendicular bisector creates a 90° angle. So m∠LEO = 90° and ∠NEO = 90°. Therefore, we already have 2 congruent angles in both of the triangles. We also learn that line LE ≅ EN based on the definition of a perpendicular bisector, so we have know one that one side of each triangle is congruent. It is ASA and not AAS, because the ASA Postulate states that two angles and one included side of one triangle are congruent to two angles and one included side of another triangle.
7 0
4 years ago
Does 3/20 have a repeating decimal form
olga_2 [115]

nope, this answer is 0.15

6 0
3 years ago
Which expression can be used to find the surface area of the following square pyramid
andreyandreev [35.5K]

Answer:

36+15+15+15+15

Step-by-step explanation:

For the surface area we need to add up all the areas in the pyramid:

  • area of the base
  • area of the triangle sides (there are 4 triangles)

Area of the base:

the base is a square, and the area of a square is given by:

a_{base}=l^2

where l is the length of the side: l=6, thus:

a_{base}=(6)^2\\a_{base}=36

Area of the triangles:

one triangle has the area given by the formula:

a_{triangle}=\frac{b*h}{2}

where b is the base of the triangle: b=6

and h is the height of the triangle: h=5, thus we have the following:

a_{triangle}=\frac{6*5}{2} \\\\a_{triangle}=\frac{30}{2} \\\\a_{triangle}=15

the expression that represents the surface area of the pyramid is:

a_{base}+area_{triangle}+area_{triangle}+area_{triangle}+area_{triangle}

substituting our values:

36+15+15+15+15

which is option B

7 0
4 years ago
Read 2 more answers
Given m ll n find the value of x
Fofino [41]

Answer:

106 degrees

Step-by-step explanation:

Angle x is the alternate exterior angle to angle 106 degrees.

Alternate exterior angles are congruent.

8 0
3 years ago
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