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erastovalidia [21]
2 years ago
14

Y=-3x+5 5x-4y=-3 pls help

Mathematics
2 answers:
salantis [7]2 years ago
7 0

Hello!

\large\boxed{x = 1, y = 2}

We can solve this system using substitution.

Since y = -3x + 5, we can substitute this into the following equation:

5x - 4(-3x + 5) = -3

Simplify:

5x - 4(-3x) - 4(5) = -3

5x + 12x - 20 = -3

Combine like terms:

17x - 20 = -3

Add 20 to both sides:

17x = 17

x = 1

Substitute to find y:

y = -3(1) + 5

y = -3 + 5

y = 2

Solution: (1, 2)

Wittaler [7]2 years ago
6 0

Answer:

(1,2) x=1; y=2

Step-by-step explanation:

We can plug the value of Y into the second equation like so:

5x-4(-3x+5)=-3\\5x+12x-20=-3\\17x=-3+20\\17x=17\\x=1

Then we can plug the value of x into the first equation.

y=-3+5\\y=2

(1,2)

Hope this helped! Please mark brainliest :)

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A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon
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Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            H_o : p = 0.05

Versus

 

                          H_1 : p \ne 0.05

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  p-value =  0.5949        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \^ p = \frac{k}{n}

=>     \^ p = \frac{13}{300}

=>     \^ p = 0.0433

Generally the standard Error is mathematically represented as

       SE  = \sqrt{\frac{p(1- p)}{n} }

=>     SE  = \sqrt{\frac{0.05(1- 0.05)}{300} }

=>     SE  = 0.0126

Generally the test statistics is mathematically represented as

       z =  \frac{\^ p - p }{SE}

=>     z =  \frac{0.0433 - 0.05 }{0.0126}

=>     z =  -0.5317

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         (P < -0.5317 ) = 0.29747

Generally the p-value is mathematically represented as

       p-value =  2 * P(Z <  -0.5317 )

=>     p-value =  2 * 0.29747

=>     p-value =  0.5949        

     

3 0
3 years ago
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By definition of the binomial coefficient,

C(n,k) = \dfrac{n!}{k!(n-k)!}

so we have

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as required.

5 0
2 years ago
Growth or decay: 1/2(10)^x
suter [353]

Answer:

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Step-by-step explanation:

If the base (the number in the parentheses) is less then 1 then it is a decay, and if it's larger than 1 it is a growth.

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3 years ago
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Oksana_A [137]
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jenyasd209 [6]

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Range: (3,∞)

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Interval positive: (3,∞)

Interval negative: none

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Interval decreasing: (-∞,7)

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