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mixer [17]
3 years ago
14

In order to answer the following question, please use the following image down below:

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
5 0

Answer:

23

Step-by-step explanation:

(x-3)(9) = (10)(18)

9x - 27 = 180

9x = 207

x = 23

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Cheese has holes.
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Answer:

Yes.

Step-by-step explanation:

Lets say the first cheese has 1 hole, if you add more cheese it will have 2 holes. the more holes you have the less cheese you will have. if this continued you would eventually get less cheese.

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50.) Find the value of b so that 330_b = 226_b+5<br> URGENT
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Step-by-step explanation:

make equation and find the value

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3 years ago
(HELP ME ASAP PLEASE) In the following diagram, A || B.
vladimir1956 [14]

Answer:

m<6=77°

Step-by-step explanation:

Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that

3x+5°+4x+7°=180°

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2 years ago
Estimate the sum 458+214
sertanlavr [38]
672 is the answer to this question
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3 years ago
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A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than
vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

H_0: p \leq 0.05

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

H_a: p > 0.05

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.

0.05 is tested at the null hypothesis:

This means that \mu = 0.05, \sigma = \sqrt{0.05*0.95}

A random sample of 300 items taken from the production line contained 27 defective items.

This means that n = 300, X = \frac{27}{300} = 0.09

Value of the test statistic:

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

z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}

z = 3.18

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

5 0
3 years ago
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