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Mama L [17]
3 years ago
11

Y varies directly as x, y = 35 when x = 5. Find y when x = 12

Mathematics
1 answer:
pashok25 [27]3 years ago
6 0
I don’t know if this is correct or makes sense but I think it would be y=84
If 5:35
Which means when x=1 y=5
Soo..you multiply x•5 to get y
IE; 12•5=84
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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
I need help <br>perform the indicated operation <br>​
RoseWind [281]
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6 0
3 years ago
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Answer:

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Step-by-step explanation:

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24 divided by 3= 8 camels were bactrians.

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3 years ago
The outside temperature decreases by 7F in 3 1 2hours. Part A How would you represent the temperature change as a unit rate? Exp
Evgesh-ka [11]

Answer:

A)  2f / hour

B) 10 f

Step-by-step explanation:

outside temperature decreases by ; 7 F in 3 1/2 hours

a ) represent temperature change as a unit rate

To do this you will need to represent the temperature change per hour

7 f / 3.5 hours

= 7 f / 3.5 = 2 therefore the temperature change as a unit rate = 2f / hour

b) Temperature change after 5 hours

Δ temperature  in 5 hours = temperature change per hour * 5

                             = 2 F * 5 =  10 F

6 0
3 years ago
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