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3 years ago

6

Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function A=24x-x^2, where x = width, gives you the are

a of the dog pen in square feet. What width gives you the maximum area? What is the maximum area?

1 answer:

Alecsey [184]3 years ago

3 0

Answer:

Width: 12 ft

Maximum area: 144 ft²

Step-by-step explanation:

A = 24x – x²

A = –x² + 24x

A = –(x² – 24x)

A = –(x² – 24x + 144) + 144

A = –(x – 12)² + 144

Therefore, the maximum area of 144 ft² occurs at x = 12 ft.

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Simplify the complex number √-16+8.

cestrela7 [59]

Answer:

$\sqrt{-16} +8$

$=4i+8$

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2 years ago

Probabilities with possible states of nature: s1, s2, and s3. Suppose that you are given a decision situation with three possibl

amm1812

Answer:

1. $P(s_1|I)=\frac{1}{11}$

2. $P(s_2|I)=\frac{8}{11}$

3. $P(s_3|I)=\frac{2}{11}$

Step-by-step explanation:

Given information:

$P(s_1)=0.1, P(s_2)=0.6, P(s_3)=0.3$

$P(I|s_1)=0.15,P(I|s_2)=0.2,P(I|s_3)=0.1$

(1)

We need to find the value of P(s₁|I).

$P(s_1|I)=\frac{P(I|s_1)P(s_1)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_1|I)=\frac{(0.15)(0.1)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_1|I)=\frac{0.015}{0.015+0.12+0.03}$

$P(s_1|I)=\frac{0.015}{0.165}$

$P(s_1|I)=\frac{1}{11}$

Therefore the value of P(s₁|I) is $\frac{1}{11}$ .

(2)

We need to find the value of P(s₂|I).

$P(s_2|I)=\frac{P(I|s_2)P(s_2)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_2|I)=\frac{(0.2)(0.6)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_2|I)=\frac{0.12}{0.015+0.12+0.03}$

$P(s_2|I)=\frac{0.12}{0.165}$

$P(s_2|I)=\frac{8}{11}$

Therefore the value of P(s₂|I) is $\frac{8}{11}$ .

(3)

We need to find the value of P(s₃|I).

$P(s_3|I)=\frac{P(I|s_3)P(s_3)}{P(I|s_1)P(s_1)+P(I|s_2)P(s_2)+P(I|s_3)P(s_3)}$

$P(s_3|I)=\frac{(0.1)(0.3)}{(0.15)(0.1)+(0.2)(0.6)+(0.1)(0.3)}$

$P(s_3|I)=\frac{0.03}{0.015+0.12+0.03}$

$P(s_3|I)=\frac{0.03}{0.165}$

$P(s_3|I)=\frac{2}{11}$

Therefore the value of P(s₃|I) is $\frac{2}{11}$ .

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2 years ago

Let f(x) = x - 3 and g(x) = x + 11 find f(x) times g(x)<br><br> What is the answer?

notsponge [240]

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33

Sorry if its wrong :(

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2 years ago

What is 8.89 × 1010 in standard notation?

SSSSS [86.1K]

Answer:

8978.9

Step-by-step explanation:

MULTIPLY THE THE GIVEN AND

8.89 × 1010 = 8978.9

THEN THE RESULT WOUD BE THE STANDARD NOTATION.

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2 years ago

Solve -4(2x - 1) = -6(x + 2) - 2.<br><br> 1) -5<br><br> 2) 5<br><br> 3) 9<br><br> 4) -9

ad-work [718]

Answer:

The answer is x=9 so, its option 3.

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2 years ago

Read 2 more answers