The circumference of the earth is given. 

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 4.4 parts

Komok [63]

Solution:

To test the hypothesis is that the mean ozone level is different from 4.40 parts per million at 1% of significance level.

The null hypothesis and the alternative hypothesis is :

$H_0: \mu = 4.40$

$H_a: \mu \neq 4.40$

The z-test statistics is :

$z=\frac{\overline x - \mu}{\left( \sigma / \sqrt n \right)}$

$z=\frac{4.2 - 4.4}{\left(0.7 / \sqrt{23} \right)}$

$z =\frac{-0.2}{0.145}$

z = -1.37

The z critical value for the two tailed test at 99% confidence level is from the standard normal table, he z critical value for a two tailed at 99% confidence is 2.57

So the z critical value for a two tailed test at 99% confidence is ± 2.57

Conclusion :

The z values corresponding to the sample statistics falls in the critical region, so the null hypothesis is to be rejected at 1% level of significance. There is a sufficient evidence to indicate that the mean ozone level is different from 4.4 parts per million. The result is statistically significant.

4 0

3 years ago

Line 1: 2x-3y>12

nata0808 [166]

Answer:

The graph of this line i.e. $2x-3y>12$ should be BELOW the DOTTED line as $y$ involves < symbol.
The graph of this line i.e. $y>-2x+5$ should be ABOVE the DOTTED line as it involves > symbol.
The correct graph for line 1 and line 2 is shown in attached figure.

Step-by-step explanation:

If the inequality involves < or >, then the graph of the equation involves a dotted line.
If the inequality involves ≤ or ≥, then the graph of the equation involves a solid line.

Considering the line 1

$2x-3y>12$

Solving line 1

$2x-3y>12$

$-3y>12-2x$

$3y$

$y$

As $y$ involves < symbol, so the graph of this line should be BELOW the DOTTED line.

But, as you can see that there is an error in the graph. As the graph of $y$ is being shown ABOVE the SOLID line.

Therefore, the graph of this line i.e. $y$ should be BELOW the DOTTED line as it involves < symbol.

Considering the line 2

$y>-2x+5$

As $y>-2x+5$ involves > symbol, so the graph of this line should be ABOVE the DOTTED line.

But, as you can see that there is an error in the graph. As the graph of $y>-2x+5$ is being shown ABOVE the SOLID line.

Therefore, the graph of this line i.e. $y>-2x+5$ should be ABOVE the DOTTED line as it involves > symbol.

The correct graph for line 1 i.e. $2x-3y>12$ and line 2 i.e. $y>-2x+5$ is shown in attached figure.

From the attached graph, it is shown that only (5, -2) satisfies the both inequalities. So, (5, -2) is the correct solution for the given inequalities.

Solution Verification:

Putting (5, -2) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(5) - 3(-2) > 12 ⇒ 10 + 6 > 12 ⇒ 16 > 12 which is true.

For line 2:

y > -2x + 5 ⇒ -2 > -2(5) + 5 ⇒ -2 > -10 + 5 ⇒ -2 > -5 which is true.

So, (5, -2) is IN the solution for line 1 and line 2

Putting (-1, -1) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(-1) - 3(-1) > 12 ⇒ -2 + 3 > 12 ⇒ 1 > 12 which is false.

For line 2:

y > -2x + 5 ⇒ -1 > -2(-1) + 5 ⇒ -1 > 2 + 5 ⇒ -1 > 7 which is false.

So, (-1, -1) is NOT in the solution for line 1 and line 2

Putting (0, 5) in line 1 and line 2

For line 1:

2x - 3y > 12 ⇒ 2(0) - 3(5) > 12 ⇒ 0 - 15 > 12 ⇒ -15 > 12 which is false.

For line 2:

y > -2x + 5 ⇒ 5 > -2(0) + 5 ⇒ 5 > 0 + 5 ⇒ 5 > 5 which is false.

So, (0, 5) is NOT in the solution for line 1 and line 2

Keywords: inequality, solution, graph, dotted line, solid line

Learn more about inequality solution from brainly.com/question/12036085

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4 0

4 years ago

What is the unit price if you divide 5.36 by 20 oz?

Alisiya [41]

Answer:

$0.27 per oz

I hope this helps :)

5 0

3 years ago

4х – бу =11 3х + 2y = 9

k0ka [10]

Answer:

(3/26, 38/13)

Step-by-step explanation:

I hope I solved it right and it helped you somehow

If you have any questions about the way I solved it, don't hesitate to ask :)

5 0

3 years ago

Expand and simplify (x + 5)(x − 4)

vodomira [7]

Answer:

133.5.744003839933030

7 0

4 years ago

Read 2 more answers