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2 years ago

14

What is the inverse of the function f (x) = 3(x + 5)2 – 4, such that x ≤ –5?

1 answer:

natali 33 [55]2 years ago

3 0

The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.
The ball followed a path modelled by the equation h = −0.001! + 0.5 + 2.5 where h is the height of the ball in feet and is the

distance in feet.

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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 $\frac{2}{11}$ .

4 0

3 years ago

Quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.

natka813 [3]

9514 1404 393

Answer:

x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

5x +0 = 0

5x = 0 . . . . . simplify

x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

7 0

3 years ago

What is the vertex of g(x) = –3x2 + 18x + 2?

svet-max [94.6K]

G(x)=1
-3x2+18x+2
-6+18+2
6+2
8

4 0

3 years ago

Read 2 more answers

LAST ONE I SWEAR BUT STILL WILL MARK BRAINLIEST

Svetlanka [38]

Actually I think it may be C

6 0

3 years ago

Read 2 more answers

Sovle the system of linear equations by graphing y=2x-1 y=x+1

lorasvet [3.4K]

Answer:

2x-1=x+1

2x-x=x

1+1=2

x=2

Knowing x's value, we substitute it with the equations

y=x+1

y=2+1

or y=2x-1

y=2(2)-1

y=4-1

y=3

(2,3) are your coordinates :D

5 0

3 years ago