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IgorLugansk [536]

4 years ago

12

Can someone show me step by step how to do these problems

2 answers:

Mandarinka [93]4 years ago

8 0

23)

2(5-3x)<x-4(3-x)

distribute 2 to 5 then 2 to 3x and get 10 - 6x then go on the right side and distribute the -4 to the 3 = -12 cancel out both x since one is negative and ones positive. which is 10 - 6x < -12

subtract 10 on each side and divide by 2

10-10= 0 -12 - 10= 22 divide by 2 is 11 x=11 do that with the other one also

tiny-mole [99]4 years ago

5 0

Unlocking pm....................................

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Two construction contracts are to be randomly assigned to one or more of three firms: I, II, and III. Any firm may receive both

vichka [17]

Answer:

The owner's total profit is $120,000.

Step-by-step explanation:

Assume that:

<em>X</em>₁ = contract is assigned to firm 1

<em>X</em>₂ = contract is assigned to firm 2

The sample space for assigning the two contracts is:

S = {(I, I), (I, II), (I, III), (II, I), (II, II), (II, III), (III, I), (III, II) and (III, III)}

There are total of 9 possible combinations.

So, the probability of selecting any of the combination is, 1/9.

Compute the probability distribution of <em>X</em>₁ and <em>X</em>₂ as follows:

<em>X</em>₁ P (<em>X</em>₁) <em>X</em>₂ P (<em>X</em>₂)

0 4/9 0 4/9

1 4/9 1 4/9

2 1/9 2 1/9

Compute the expected values of <em>X</em>₁ and <em>X</em>₂ as follows:

$E(X_{1})=\sum X_{1}\cdot P(X_{1})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}$ $E(X_{2})=\sum X_{2}\cdot P(X_{2})\\\\=(0\times\frac{4}{9})+(1\times\frac{4}{9})+(2\times\frac{1}{9})\\\\=\frac{6}{9}\\\\=\frac{2}{3}$

It is provided that each contract will yield a profit of $90,000.

Compute the owner's total profit as follows:

$\text{Total Profit}=\text{Profit}\times [E(X_{1})+E(X_{2})]$

$=90000\times[\frac{2}{3}+\frac{2}{3}]\\\\=120000$

Thus, the owner's total profit is $120,000.

7 0

3 years ago

If one container holds 1 an 7/8 quarts of water and a second container holds 5 3/4 quarts of water.How many more quarts of water

iren [92.7K]

It holds 3.875 because 1 7/8 minus 5 3/4 is 3.875, or 3 7/8

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3 years ago

Consider the graph above. Write about a situation that could be modeled using this graph. In your response, use the prompts belo

Vikentia [17]

Answer:

See Explanation

Step-by-step explanation:

Given

See attachment for graph

Required

A situation that can be modeled by the graph.

The prompt and the response are as follows:

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It is a linear function

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The variables are x and y

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From the graph, we can see that x and y values are not limited to any constraints.

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$Domain: \{-\infty \le x \le \infty \}$

$Range: \{-\infty \le y \le \infty \}$

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$m = \frac{4 - 0}{0 - -2}$

$m = \frac{4}{2}$

$m =2$

The equation of the graph is:

$y = m(x - x_1) + y_1\\$

So, we have:

$y = 2(x - -2) + 0$

$y = 2(x +2)$

Expand

$y = 2x +4$

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3 years ago

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3 years ago

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Deffense [45]

Answer:

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Step-by-step explanation:

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3 years ago