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Arte-miy333 [17]
3 years ago
8

Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant o

f proportionality is 42. Write an equation to represent the relationship between the number of yards of yarn Paula has and the number of hats she can knit.
Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

The equation showing the relationship between the number of yards of yarn Paula has and the number of hats she can knit is ;

h = 42y

Step-by-step explanation:

Here, we want to write an equation;

From the question, we are told that the number of hats h that can be knitted is directly proportional to the amount of yarn in yards

Since it is a proportional relationship;

h = k * y

where k is the constant of proportionality given as 42

Hence;

h = 42 * y

h = 42y

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bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

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p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

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