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Dvinal [7]
3 years ago
8

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:

but please give me and please mark me as

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"
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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
6 0
3 years ago
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kati45 [8]
The answer is dividing each bottle size by its cost I took the test and I got it right <span>
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3 years ago
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