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3 years ago

Write the equation for the following relation. A={(x,y):(1,2), (2,5), (3,8),...}

Mathematics

2 answers:

Nitella [24]3 years ago

8 0

Answer:

y = 3x - 1

Step-by-step explanation:

Given the data set: (1, 2) (2, 5) and (3, 8), you first need to look for a constant difference in the values of x and y:

x: 1 2 3 (add '1' each time)

y: 2 5 8 (add '3' each time)

Rate of change (slope) can be found by dividing y/x:

3/1 = 3

Since y = 2 when x = 1, then y = -1 when x = 0.

Using slope-intercept formula: y mx + b

y = 3x - 1

Veronika [31]3 years ago

3 0

I just tried working this one out and I can’t find the answer. Maybe nothing further can be determined that I know so far.

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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

Can someone help me with this problem? Thank you!

vesna_86 [32]

Answer: the answer is 180 $in^{2}$

Step-by-step explanation:

Area of a rectangle multiply length times base. 15 x 12 = 180. Hope this helps!

6 0

2 years ago

P is the midpoint of XY x p equals 8 x - 2 + p y equals 12x - 30 find the value of x

disa [49]

Answer:

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7 0

3 years ago

Please explain step by step

JulijaS [17]

1. Calculate the volume of entire cube as if it was a solid rectangle:
Length x width x height=
20x16x12 = 3,940 cubic inches

2. Calculate the volume of the "missing"
Piece and subtract:
Length x width x height=
20x8x6 = 960 cubic inches
(notice you can find the height of the missing piece by subtracting 12-6)

So your answer is 3,940-960 = 2,980 cubic inches inside the steps

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kati45 [8]

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3 years ago

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