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Mama L [17]
3 years ago
10

Write each of these as an integer or fraction. a. 2 x 2³ b. (-2.5)²

Mathematics
1 answer:
user100 [1]3 years ago
6 0

Answer:

a) 2 * 8 = 16

b) (-2.5)(-2.5) = 6.25 = \frac{625}{1000} = \frac{5}{8}

Step-by-step explanation:

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Step-by-step explanation:

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3 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}.

4 0
3 years ago
A hemispherical tank is filled with water and has a diameter of 22 feet. If water
crimeas [40]

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.^{}ly/3a8Nt8n

5 0
2 years ago
YALL I NEED HELP ASAP!!
Elodia [21]

Answer:

32

Step-by-step explanation:

You use angle chasing. Since a triangle's angle has to add up to 180, the other angle is 180-79-69. This gives 32. So angle E is 32 degrees. Since they are parallel, that means that E equals to D. That means that D is 32, so 32 is now the answer.

HAPPY NOW BRAINLY? I JUST DIDN'T ADD AN EXPLANATION ON THE OTHER ONE AND YOU DELETED IT! I GOT BRAINLIEST!  HE STILL GOT THE ANSWER ANYWAYS.

3 0
3 years ago
What is the principle square root of 1600?<br> A. -40<br> B. 40<br> C. both
WINSTONCH [101]
The answer is B 40........



7 0
3 years ago
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