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denis23 [38]
3 years ago
7

IIene earns $20. Se saves $2 for every $8 that she spends. How much of the $20 did she save

Mathematics
1 answer:
solniwko [45]3 years ago
7 0
If she has $20 and saves $2 for every $8 she saves $4.
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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
Two cones have a radius of 2 cm. The height of one cone is 8 cm. The other cone is 1/4 of that height. Which of these statements
marta [7]
The wrong statement: The volume or the smaller cone cannot be determined because its height is unknown.

We already know that the larger cone has a height of 8 cm and that the smaller cone is just 1/4 of 8 cm.

8×1/4 = 2 cm.

You can still find its volume by using the formula 1/3πr^2.
8 0
3 years ago
Read 2 more answers
PLEASE ANSWER I WILL GIVE 30 POINTS!
Bingel [31]

Answer:

So the correct answer is"none of the above".

Step-by-step explanation:

z+(z+6)=z+z+6=2z+6. \\  \\  (z+z)+(z+6)=z+z+z+6=3z+6. \\  \\ (z+6)+6=z+12 \\  \\

4 0
3 years ago
Last week Martha sold brownies. And cookies at a back sale she sold 60 bowlines and 42 cookies on Saturday and 28 brownies and 5
elena55 [62]

Answer:

Martha earns $65.6 over the weekend.

Step-by-step explanation:

Brownies sold by Martha on Saturday = 60

Cookies  sold by Martha on Saturday = 42

Brownies sold by Martha on Sunday = 28

Cookies  sold by Martha on Sunday = 54

Total brownies sold by Martha over the weekend = 60+28=88

Total cookies sold by Martha over the weekend = 42+54=96

Cost of a brownie = $0.20

Cost of a cookie = $0.50

Total cost of brownies sold over the weekend = 88\times \$0.20 = \$17.6

Total cost of cookies sold over the weekend = 96\times \$0.50 = \$48

∴ Total money Martha earned over the weekend = \$17.6+\$48=\$65.6 (Answer)

4 0
3 years ago
O
xxTIMURxx [149]

Answer:

Dont know

Step-by-step explanation:

I dont know Archer's equation but the answer for Jenna equatiok is x=10

7 0
3 years ago
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