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balu736 [363]
3 years ago
11

Practice with area

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

  1453 cm²

Step-by-step explanation:

The area of a regular polygon is given in terms of its perimeter and apothem by ...

  A = (1/2)Pa

  A = (1/2)(145.3 cm)(20 cm) = 1453 cm²

The area of the pentagon is 1453 square centimeters.

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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
Each letter of the word ASSESSMENT is written on a card and placed in a bag. You are equally likely to get any card.
NARA [144]

Answer:

I would say getting four S would be more percent than the other letters in the assessment word. They have more chance, and more possibility.

Step-by-step explanation: Brainliest please

6 0
3 years ago
A system in which blood is NOT contained in vessels, but spreads over the organs is a(n) _______.
Sedaia [141]

Answer:

flower

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Identify one unique decimal that you encounter regularly during the week and how it affects you or not in your daily life. your
Tpy6a [65]
A unique decimal that I encounter regularly is "0.05". I encounter this almost every day, when I go to the store to buy something, the saleslady gives me $0.05 as change. When I go home and put some of my extra money in my piggy bank, I hold a $0.05 in my hand. 
5 0
3 years ago
Show a reciprocal numerical expression for each equation using multiplication, please!
iris [78.8K]
\frac{2}{3}÷ 4 = \frac{2}{3} \times  \frac{1}{4} = \frac{1}{6}

\frac{1}{8}÷ 3 = \frac{1}{8} \times \frac{1}{3} = \frac{1}{24}

\frac{3}{4}÷ 6 = \frac{3}{4} \times \frac{1}{6} = \frac{1}{8}

\frac{1}{36}÷ 2 = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}

4 0
3 years ago
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