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9966 [12]
2 years ago
11

• (6x + 5y=7• y = 2x - 5(solve using substitution)​

Mathematics
2 answers:
LenKa [72]2 years ago
7 0

6x + 5y = 7

y = 2x - 5.

Plug the second equation into y for the first equation.

6x + 5(2x - 5) = 7.

Multiply 5 by 2x - 5

6x + 10x - 25 = 7.

Simplify the left side

16x - 25 = 7.

Add 25 to each side

16x = 32.

Divide each side by 16

x = 2.

Plug 2 into x for one of our original equations.

y = 2(2) - 5.

Simplify the right side.

y = -1.

In conclusion, x = 2 and y = -1

aleksandr82 [10.1K]2 years ago
7 0

Answer:

x=2  y=-1

Step-by-step explanation:

You can plug 2x-5 into the first equation for y since it gives you that y=2x-5. Then, you get 6x+5(2x-5)=7. After distributing the 5, you get 6x+10x-25=7. You can now combine the like terms 6x and 10x. You get 16x-25=7. Then, add 25 to both sides and get 16x=32. You can divide 16 by both sides to leave the x by itself and you get x=2.

x=2

After finding the x, you can plug 2 back into either equation to get your y. If you plug it into the second equation, you get y=2(2)-5=-1

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Zigmanuir [339]

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We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = <u><em>population percentage of blue candies</em></u>

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Alternate Hypothesis, H_A : p \neq 29%     {means that the percentage of blue candies is different from 29​%}

The test statistics that will be used here is <u>One-sample z-test for</u> <u>proportions</u>;

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           n = sample of colored​ candies = 100

So, <u><em>the test statistics</em></u> =  \frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }

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