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4 years ago

12

HELPFor the system below solve using linear combinations method 4x-7y=-2 and 12x-21y=-42

1 answer:

Elan Coil [88]4 years ago

4 0

No solution

cz

12x-21y=-42 -----> /3 (divided by 3 )
4x-7y=14 ------ (2)
4x-7y=-2 ------- (1)

how 4x-7y =14 an = -2

and if we
(2)-(1)
0=12
#

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You can work no more than 60 hours each week at your two jobs. Dog walking pays $7 per hour and your sales job at Computers &amp

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Answer:

No

Step-by-step explanation:

You cannot work negative 3 hours, it's impossible. One possible solution would be to work 50 hours a week at dog walking for 7 dollars an hour, and 10 hours a week at Computers & More, Inc. for 12 dollars a week. This would give you 350 dollars from dog walking, and 120 dollars from Computers & More, Inc. This would be a total of 470 dollars.

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3 years ago

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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 $\frac{2}{11}$ .

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3 years ago

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I am not exactly sure, but I am almost positive it is a spere

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3 years ago

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Dafna11 [192]

Answer:

2z + 5

Step-by-step explanation:

you have to combine like terms

subtract 4z - 2z and you get 2z

the number with the variable next to it goes first not the constant

2z + 5

the variable is z and the constant is 5 because it doesn't have variable next to it

hope this makes sense and helps :)

tell me if you have any questions

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3 years ago

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Quadrilateral FLAG has coordinates F(1,5), L(6,3), A(3,-1), and G(-2,1). Which

Anettt [7]

Answer:

B. Quadrilateral FLAG is a parallelogram because opposite sides are parallel.

Step-by-step explanation:

<em>Refer to attached.</em>

Plot the point and connect in order FLAG.

<u>We see </u>

FL ║ GA
GF ║ AL
FA and GL are not perpendicular

<u>All the above can be confirmed by calculating the slopes:</u>

m(FL) = (3 - 5)/(6 - 1) = -2/5
m(GA) = (1 + 1)/(-2-3) = -2/5
These are same.

m(GF) = (5 - 1)/(1 + 2) = 4/3
m(AL) = (3 + 1)/(6 - 3) = 4/3
These are same

m(FA) = (-1 - 5)/(3 - 1) = -3
m(GL) = (3 - 1)/(6 +2) = -1/4
These are negative but not reciprocal

The quadrilateral is a parallelogram.

Correct choice is B

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3 years ago

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