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3 years ago

NEEEEEEEEEEEEEEEEEEEEEEEED HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP!!!!!!!!

Mathematics

2 answers:

frozen [14]3 years ago

6 0

Answer:

Step-by-step explanation:

$2^{3} + 3^{2} - 3$ × $4-5^{2}$ ÷ 5 + (7×4)

To solve this equation, we need to use GEMDAS. < That shows us the order of operations for this problem.

G is for grouping. This can be (), {}, or []. There is one grouping in the given equation, (7x4). Now, you just multiply inside of the equation, giving you 28.

Now the equation looks like $2^{3} + 3^{2} - 3$ × $4-5^{2}$ ÷ 5 + 28

E is for exponents. These are numbers that are multiplied to a power. ( $x^{2}$ ). There are three terms with exponents in this equation, $2^{3}$ , $3^{2}$ , and $5^{2}$ . Now, just multiply to the powers giving you 8, 9, and 25.

Now the equation looks like

8 + 9 - 3 x 4 - 25 ÷ 5 + 28

M is for multiply. This is any number times another one. There is only one term that needs to be multiplied in this equation, 3 x 4. Now, just multiply the terms to get 12.

Now the equation looks like

8 + 9 - 12 - 25 ÷ 5 + 28

D is for divide. This is any term that needs to be divided. There is only one in this equation, 25÷5. Now, just divide those terms to get 5.

Now your equation looks like

8 + 8 - 12 - 5 + 28

A is for add. This is any term that needs to be added. There are two in this equation, 8+8. and 5+28. Now, just add to get 16 and 33.

Now your equation looks like

16 - 12 - 33

S is for subtract. This is any term that needs to be subtracted. These are the remaining three in the equation, 16 - 12 - 33. Now just subtract to get -33.

Now that you have completed all of the steps, your final answer is

-33

~theLocoCoco

Sever21 [200]3 years ago

3 0

Answer:

Step-by-step explanation:

Use Pemdas. Hope this helps. Pls give brainliest.

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Mnenie [13.5K]

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Expected number of sweaters per month can be given as follows:

E(X) = Σ x P(X = x)

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E(X) = [2 * 0.1 + 3* 0.1+ 4* 0.2 + 5* 0.3 + 6* 0.2 + 7 * 0.1]

E(X) = 4.7.

Var(X) = E(X^2) – [E(X)]^2

We have E(X) = 4.7. Thus, [E(X)]2= 4.7*4.7 = 22.09.

Now E(X^2) = [2*2 * 0.1 + 3*3* 0.1+ 4*4* 0.2 + 5*5* 0.3 + 6*6* 0.2 + 7*7*0.1]

E(X^2) = 24.1

Thus by formula, Var(X) = E(X2) – [E(X)]2

Var(X) = 24.1-22.09

Var(X) = 2.01

Given that exporter pays the $12 for each sweater. The woman pays $2 per sweater. The cost of shipment is $3 irrespective of the number of sweaters. Now, let m is the number of sweaters she made. Thus, the total cost she would have to pay would be

Total cost by woman = 2m+3

The total cost paid by the exporter would be = 12m.

Now the profit of woman would be given by,

= The total cost exporter pay – cost paid by the woman

= 12m – (2m +3)

= 12m – 2m -3

= 10m – 3.

Now expected profit made by the woman is given in the following table below:

E(Profit) = Σ profit* P(X = x)

In a similar way, as we have done in part (a).

E(Profit) = [17 * 0.1 + 27* 0.1+ 37* 0.2 + 47* 0.3 + 57* 0.2 + 67 * 0.1]

E(Profit) = 44.

Now, we calculate the variance:

Var(profit) = E(profit^2) – [E(profit)]^2

Var(profit) =

E(profit^2) = [17*17 * 0.1 + 27*27* 0.1+ 37*37* 0.2 + 47*47* 0.3 + 57*57* 0.2 + 67*67*0.1]

E(profit^2) = 2137.

[E(profit)]^2 = 44*44 = 1936.

Thus, the variance can be given as =

Var(profit)= 2137 – 1936

Var(profit) = 201.

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