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Wittaler [7]
2 years ago
8

Answers for math homework, thanks :)

Mathematics
1 answer:
QveST [7]2 years ago
8 0
1) x = - 4, y = - 12; (- 4, - 12)

2) x = 34, y = 17; (34, 17)

3) x = 16, y = 7; (16, 7)

4) x = 7, y = - 4; (7, - 4)

5) x = - 4, y = 10; (- 4, 10)

6) x = 12, y = - 7; (12, - 7)

7) x = 5, y = 10; (5, 10)

8) x = 11, y = - 12; (11, - 12)
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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
Someone help I really need it.
NeX [460]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write an equation that expresses the following relationship. p varies jointly with the square of d and the cube of u In your equ
Veronika [31]

Answer:

p= kd^{2}u^{3}

Step-by-step explanation:

Using k as the constant of proportionality.

The expression that expresses the relationship : p varies jointly with the square of d and the cube of u.

Varies jointly means that p will change as 'd' and 'u' will change together with respect to their powers.

We get the expression as:

p= kd^{2}u^{3}

5 0
3 years ago
Please help me with this
Galina-37 [17]
1 1/8 square feet

1 4/5 • 1 5/8 = 9/8
9/8 reduces to 1 1/8

I hope this helps you :)
3 0
2 years ago
Determine the period
mixas84 [53]
The period is 11

Explanation
8 0
3 years ago
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