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3 years ago

A parallelogram has a length of 15cm and a height of 7.5cm. Calculate it’s area.

Mathematics

2 answers:

Leya [2.2K]3 years ago

4 0

Answer:

112.5

Step-by-step explanation:

To find the area of a parallelogram, you can simply multiply the length of the base by the height. In this case, this is 15*7.5=112.5 square centimeters. Hope this helps!

IrinaK [193]3 years ago

3 0

Answer:

Step-by-step explanation:

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Given the scatter plot, choose the function that best fits the data.

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Answer:

2x^2-3x-5=y

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2x-5=0

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Step-by-step explanation:

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2 years ago

A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b

nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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The margin of error:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$p = 0.1$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}$

$0.04\sqrt{n} = 0.588$

$\sqrt{n} = \frac{0.588}{0.04}$

$\sqrt{n} = 14.7$

$(\sqrt{n})^{2} = (14.7)^{2}$

$n = 216$

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3 years ago

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Tanya [424]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers