Answer:
Gross profit formula= 3x
x= number of units sold
Step-by-step explanation:
Giving the following information:
Unitary variable cost= $2
Selling price per unit= $5
<u>To calculate the profit earned, we need to use the unitary contribution margin formula</u>. The contribution margin is a product's price minus all associated variable costs (sales- variable costs), resulting in the incremental profit earned for each unit sold.
Unitary contribution margin= 5 - 2 = 3
<u>Now, the profit formula:</u>
Gross profit formula= number of units*unitary contribution margin
Gross profit formula= 3x
x= number of units sold
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
Both are correct.
Good job!
Explanation:
This question's it's about the order of operations. P-parenthesis, E-exponents, M-multiply, D-divide, A-add, and S-subtract. It can also go left to right.
Do exponents first.
Then, multiply left to right.
And add/subtract left to right.
Hope this helps!
Thanks!
Have a great day!
Answer:
Step-by-step explanation:
both angles must add up to 180 so
6x+12+3x+63 must =180
= 9x+75
9x+75=180
-75 -75
9x=105
x=11.66
meaning A is approximately 81.96
