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kiruha [24]
2 years ago
14

How is an inverse variation similar to a linear relationship?

Mathematics
1 answer:
Hatshy [7]2 years ago
6 0
As the value of X increases, the value of y would decrease, due to this relationship being an inverse variation. ... An inverse variation would be similar to a linear relationship because in both, values can increase, as others decrease, and it would pretty much be it, because there aren't much similarities between them.
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I have 100 items of product in stock. The probability mass function for the product's demand D is P(D=90)=P(D=100)=P(D=110)=1/3.
masya89 [10]

Answer:

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 96.667

The variance is 22.222

b) The probability mass function for the unfilled demand due to lack of stock is

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 3.333

The variance is 33.333

Step-by-step explanation:

If the demand is higher than 100, then you will sell 100 items only. Thus, there is a probability of 1/3+1/3 = 2/3 that you will sell 100 items, while there is a probability of 1/3 that you will sell 90.

The probability mass function for the items sold is

P_X(k) = \left \{ {\frac{1}{3} \, \, \, {k=90} \atop \, \frac{2}{3} \, \, \, {k=100}} \right.

The mean is 1/3 * 90 + 2/3 * 100 = 290/3 = 96.667

The variance is V(X) = E(X²)-E(X)² = (1/3*90² + 2/3*100²) - (290/3)² = 200/9 = 22.222

b) If order to be unfilled demand, you need to have a demand of 110, which happens with probability 1/3. In that case, the value of the variable, lets call it Y, that counts the amount of unfilled demand due to lack of stock is 110-100 = 10. In any other case, the value of Y is 0, which would happen with probability 1-1/3 = 2/3. Thus

P_Y(k) = \left \{ {\frac{2}{3} \, \, \, {k=0} \atop \, \frac{1}{3} \, \, \, {k=10}} \right.

The mean is 2/3 * 0 + 1/3 * 10 = 10/3 = 3.333

The variance is 2/3*0² + 1/3*10² = 100/3 = 33.333

4 0
2 years ago
Can you guys help i’m kinda struggling
professor190 [17]

Answer:

D. GH = MN

Step-by-step explanation:

Second side is needed to prove congruence by SAS

Side must be on opposite side of equal angles given

6 0
2 years ago
Blaine buys 2 books and the total cost is $24.18 What is the constant of proportionality that
jekas [21]

Answer:

$12.09

Step-by-step explanation:

formula; Y= kx

where;    y = $24.18

               x = 2 books

               k = constant of proportionality

Step 1. Do the equation based on the data given

Y = kx

$24.18 = k2

Step 2. Compute the mathematical equation. Divide both sides by 2 to eliminate coefficient in the variable.

<u>24.18 =k2</u>

       2

k = $ 12.09 is the constant of proportionality cost in dlooars per book

7 0
2 years ago
Answer fast please please
Maurinko [17]

Answer:

A:    200 combinations

Step-by-step explanation:

You multiply 4 by 10 to get 40 and then you multiply 40 by 5 to get 200 options

3 0
3 years ago
A solid has faces that consist of two squares and four congruent rectangles. What type of sailor is it ?
yawa3891 [41]
I thinks it’s a prism
8 0
2 years ago
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