Solve g−17≥17. Graph the solution

Mathematics

1 answer:

Sladkaya [172]3 years ago

8 0

Answer:

g≥34

Step-by-step explanation:

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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:

X₁ = contract is assigned to firm 1

X₂ = 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 X₁ and X₂ as follows:

X₁ P (X₁) X₂ P (X₂)

0 4/9 0 4/9

1 4/9 1 4/9

2 1/9 2 1/9

Compute the expected values of X₁ and X₂ 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

Mckenzie bought 1.2 pounds of coffee for 11.82 what was cost of per pound

borishaifa [10]

first you divide 1.2 by its self because you need to get 1 pound. 1.2 / 1.2 = 1

now that you have one pound, you divide 11.82 by 1.2 = 9.85

3 0

3 years ago

Vector u has its initial point at (17, 5) and its terminal point at (9, -12). Vector v has its initial point at (12, 4) and its

Ratling [72]

$\bf \vec{u}~~ \begin{cases} (17,5)\\ (9,12) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\\\ \vec{v}~~ \begin{cases} (12,4)\\ (3,-2) \end{cases}\implies \implies \stackrel{\textit{component form}}{} \\\\[-0.35em] ~\dotfill$

$\bf 3\vec{u}\implies 3\implies \\\\\\ 2\vec{v}\implies 2\implies \\\\\\ 3\vec{u}-2\vec{v}\implies -\implies + \\\\\\ \implies \\\\[-0.35em] ~\dotfill\\\\ ||3\vec{u}-2\vec{v}||\implies ||||\implies \sqrt{(-16)^2+33^2} \\\\\\ \sqrt{1345}\implies 36.67$