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3 years ago

Linear Equations. Solve the equation 5 = 3y +6 using inverse operations.

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

Answer:

The value of $y=\frac{-1}{3}$ .

Step-by-step explanation:

Considering the equation

$5 = 3y +6$

To solve the equation $5 = 3y +6$ using inverse operations,

Subtracting 6 on both sides of the equation,

$5-6 = 3y +6-6$

Simplifying,

$-1 = 3y$

Dividing both sides by 3

$\frac{-1}{3} =\frac{3y}{3}$

$\frac{-1}{3} =y$

Switching both sides

$y=\frac{-1}{3}$

Therefore, the value of $y=\frac{-1}{3}$ .

Keywords: equation, inverse operations

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Answer:-3/2

Step-by-step explanation:

-2 2/6+5/6

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(2x-7+1x5) ➗ 6

(-14+5) ➗ 6

-9 ➗ 6

-9/6=-3/2

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3 years ago

Julie makes $9.26 an hour. this week she worked 20 hours and had $32.62 deducted for her payroll taxes what was her net income

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3 years ago

What is the x coordinate of the solution of the system? 2x+y=15 and x-y=3

Varvara68 [4.7K]

x - y = 3

x = 3 + y

x -3 = y

y = x-3

put it in 1st equation

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2x + x - 3 = 15

3x - 3 = 15

3x = 15+3 = 18

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3 years ago

The product of a number and nine is added to five. The result is thirty-

Nuetrik [128]

Answer:

The number is 11

Step-by-step explanation:

6x+38=9x+5

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x= 11

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3 years ago

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With

Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

Step-by-step explanation:

Data given and notation n

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.36$ is the value that we want to test

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:

Null hypothesis: $p=0.36$

Alternative hypothesis: $p \neq 0.36$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value .

Calculate the statistic

For this case the statistic is given:

$z = 2.074$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(z>2.074)=0.0381$

5 0

3 years ago