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Amanda [17]
2 years ago
15

Slope = 2/5 On a Graph

Mathematics
1 answer:
Anestetic [448]2 years ago
8 0
Look at it as the rise/run. Go up positive 2 on the graph(y-axis) for every 5 that you go across on the graph. Over 5, up 2, over 5, up 2. Hope this helps
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A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
Read 2 more answers
The marked price of an article is Rs 2,800 which is 40 % above the cost price. If it
mixer [17]

Answer:

mp=2800

mp=cp+40%ofcp=cp+40/100×cp=1.4cp

2800=1.4çp

cp=2800/1.4=2000

discount=20%

profit%=?

Step-by-step explanation:

sp=mp-discount%of mp=2800-20/100×2800=2240

profit=sp-cp=2240-2000=240

profit%=profit/cp×100%=240/2000×100%=12%

7 0
3 years ago
a box of cereal weighs 600 grams . how much is this weight in pounds ? explain or show your reasoning .
lyudmila [28]

Answer:

600 Grams = 1.323 Pounds

Step-by-step explanation:

1 gram equals 0.0022 pounds

600 x 0.0022 = about 1.323

6 0
3 years ago
Read 2 more answers
Divide.
Tpy6a [65]
This was rough, but either way I love math haha
7 0
2 years ago
Which statement about the reflection below is true?
Lyrx [107]

Answer:

Can you show us the statements?

Step-by-step explanation:

3 0
3 years ago
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