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3 years ago

1. Graph the system of inequalities.

Mathematics

1 answer:

Tamiku [17]3 years ago

4 0

see attached picture of how graph should look.

search through word for a graph icon, you should be able to do this in Word.

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What is the change in elevation from 8500 m to 3400 m?

zubka84 [21]

Answer:

5100m

Step-by-step explanation:

Let's do some subtraction!

8500-3400= 5100m

8 0

3 years ago

Many elementary school students in a school district currently have ear infections. A random sample of children in two different

Marta_Voda [28]

Answer:

Step-by-step explanation:

The summary of the given data includes;

sample size for the first school $n_1$ = 42

sample size for the second school $n_2$ = 34

so 16 out of 42 i.e $x_1$ = 16 and 18 out of 34 i.e $x_2$ = 18 have ear infection.

the proportion of students with ear infection Is as follows:

$\hat p_1 = \dfrac{16}{42}$ = 0.38095

$\hat p_2 = \dfrac{18}{34}$ = 0.5294

Since this is a two tailed test , the null and the alternative hypothesis can be computed as :

$H_0 :p_1 -p_2 = 0 \\ \\ H_1 : p_1 - p_2 \neq 0$

level of significance ∝ = 0.05,

Using the table of standard normal distribution, the value of z that corresponds to the two-tailed probability 0.05 is 1.96. Thus, we will reject the null hypothesis if the value of the test statistics is less than -1.96 or more than 1.96.

The test statistics for the difference in proportion can be achieved by using a pooled sample proportion.

$\bar p = \dfrac{x_1 +x_2}{n_1 +n_2}$

$\bar p = \dfrac{16 +18}{42 +34}$

$\bar p = \dfrac{34}{76}$

$\bar p = 0.447368$

$\bar p + \bar q = 1 \\ \\ \bar q = 1 -\bar p \\ \\\bar q = 1 - 0.447368 \\ \\\bar q = 0.552632$

The pooled standard error can be computed by using the formula:

$S.E = \sqrt{ \dfrac{ \bar p \bar q}{ n_1} + \dfrac{\bar p \bar p}{n_2} }$

$S.E = \sqrt{ \dfrac{ 0.447368 * 0.552632}{ 42} + \dfrac{ 0.447368 * 0.447368}{34} }$

$S.E = \sqrt{ \dfrac{ 0.2472298726}{ 42} + \dfrac{ 0.2001381274}{34} }$

$S.E = \sqrt{ 0.01177284105}$

$S.E = 0.1085$

The test statistics is ;

$z = \dfrac{\hat p_1 - \hat p_2}{S.E}$

$z = \dfrac{0.38095- 0.5294}{0.1085}$

$z = \dfrac{-0.14845}{0.1085}$

z = - 1.368

Decision Rule: Since the test statistics is greater than the rejection region - 1.96 , we fail to reject the null hypothesis.

Conclusion: There is insufficient evidence to support the claim that a difference exists between the proportions of students who have ear infections at the two schools

5 0

3 years ago

Whats the sum of fifty-two and twenty

Anastasy [175]

Well, sum means addition, so I'm gonna add together 52 and 20.

52
20 +
--------

I start at the ones, and see that 2 + 0 is 2, so drop a 2 below them

52
20 +
--------
2

now, look at the tens place. we add together what we see in the tens place and put it below. 5+2 is 7, so we put that under 5 and 2.

52
20 +
------
72 we see that our final answer is 72, so the sum of 52 and 20 is 72.

5 0

4 years ago

Read 2 more answers

In standard notation, 7.09 �� 10 *to the power of 4* is _____.

forsale [732]

Answer:

70,900

Step-by-step explanation:

3 0

3 years ago

Write 9− 16x⁴ as the product of two factors.

Marysya12 [62]