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3 years ago

What is the answer to the equation 5x=2x+20?

2 answers:

4 0

$5x = 2x + 20 \\ subtract--------\ \textgreater \ -2x
 \\ 3x = 20 \\ Divide -----\ \textgreater \ 3x \\ \\ x = 6 \frac{2}{3}$

Agata [3.3K]3 years ago

3 0

I don't know. But I know how to find it. Let's work it out together:

5x = 2x + 20

Subtract 2x from each side: 3x = 20

Divide each side by 3 : x = 20/3 or ( 6 and 2/3 ).

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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found

irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

$H_0: p = 0.04$

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

$H_a: p > 0.04$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that $\mu = 0.04, \sigma = \sqrt{0.04*0.96}$

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that $n = 20, X = 0.1$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}$

$z = 1.37$

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0

2 years ago

Read 2 more answers

F(x) = 722 g(x) = 2.c + 1 Find ( 4) (2 (2). Include any restrictions on the domain.

balandron [24]

Answer:

sorry this question is tough

6 0

2 years ago

What is the equation of the axis of symmetry for the parabola y equals start fraction one over three end fraction left parenthes

wariber [46]

The correct axis of symmetry is x = -1.

Explanation:

Our equation is
$y=\frac{1}{3}(x+1)^2-3$ .

This is in vertex form, which is
y = a(x-h)² + k, where (h, k) is the vertex.

In our equation, h corresponds with -1 and k corresponds with -3, making the vertex (-1, -3).

The axis of symmetry is the x-coordinate of the vertex; this makes the axis of symmetry for this equation x = -1.

6 0

2 years ago

Translate the following phrase into an expression:The difference between 20 and twice of a number twice of a number

Vitek1552 [10]

Answer: probably D

In math difference means subtraction

Step-by-step explanation:

7 0

2 years ago

Find the solution: 3x + 2y = 12 -2x + 3y = 5

finlep [7]

Answer:

x = 3

y = 2

Step-by-step explanation:

3x + 2y = 12

-2x + 3y = 5 to find the solution we will use elimination method and for that, multiply second equation with 3 and the first equation with 2

2 * 3x + 2y = 12

6x + 4y = 24

3 * -2x + 3y = 5

-6x + 9y = 15 now find the sum of both equation:

6x + 4y -6x + 9y = 24 + 15 add like terms

13y = 39 divide both sides by 13

y = 3 now that we found the value of y we can use this to calculate the value of x

3x + 2y = 12 replace y with 3

3x + 2*2 = 12

3x + 4 = 12 subtract 4 from both sides

3x = 9 divide both sides by 3

x = 3

7 0

2 years ago