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Mazyrski [523]
3 years ago
5

One of the sides of a parallelogram is 4.2 cm and the altitude to that side is 3.6 cm. Find the perimeter of the parallelogram i

f the altitude to the other side is 2.4 cm.
Mathematics
1 answer:
adelina 88 [10]3 years ago
4 0
The product of side length and altitude is area. The area remains the same regardless of how you measure it.

From the first side and altitude,
.. area = side*altitude = (4.2 cm)*(3.6 cm) = 15.12 cm^2
From the second side and altitude
.. area = side*altitude
.. 15.12 cm^2 = side*(2.4 cm)
.. side = (15.12 cm^2)/(2.4 cm) = 6.3 cm

The perimeter is the sum of the measures of all sides. Opposite sides are of equal measure.
.. perimeter = 2*(4.2 cm +6.3 cm) = 21.0 cm
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Answer:

Step-by-step explanation:

Hello!

To evaluate the market for a new car charger, a market researcher surveyed 600 customers and found out that 73% of them own a car.

The parameter of interest is the population proportion and the study variable is "the number of customers that own a car out of 600".

Using the Central Limit Theorem you can approximate the distribution of the sampling proportion to normal:

p'≈N(p;\frac{p(1-p)}{n})

Where p' is the sample proportion

p is the population proportion and the mean of the distribution

\frac{p(1-p)}{n} is the variance of the distribution

Then de standard deviation of the samplig proportion distribution is \sqrt{\frac{p(1-p)}{n}}

You can estimate it using the sample proportion:

\sqrt{\frac{p'(1-p')}{n}} = \sqrt{\frac{0.73*0.27}{600} }=0.0181

Using the same sample proportion but a sample size of n=150, the estimated standard deviation is:

\sqrt{\frac{p'(1-p')}{n}} = \sqrt{\frac{0.73*0.27}{150} }=0.0362

I hope it helps!

6 0
3 years ago
Which expression is equal to x + (y + z)?
arsen [322]
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3 years ago
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Step-by-step explanation:

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Answer:

30

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3 years ago
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