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Anna007 [38]
3 years ago
10

IA triangular parking lot is paved outside a new shopping center. The lengths of the sides of the parking lot are 100 meters, 11

3 meters, and 86 meters. What is the area of the parking lot..Step by step explanation..Please..
Mathematics
1 answer:
Gemiola [76]3 years ago
4 0

Answer:

Step-by-step explanation:

I believe the only way to solve this is by Heron's Formula.

Add up all the sides and divide by 2 to get the semi-perimeter:

113+100+86 = 299

299/2 = 149.5

Now fill in the rest, which looks like this:

\sqrt{s(s-a)(s-b)(s-c)}

where s is your semiperimeter value, a is the length of one side, b the length of another side, and c the length of the third side:

\sqrt{149.5(149.5-113)(149.5-100)(149.5-86)}

which simplifies to

\sqrt{149.5(36.5)(49.5)(63.5)}

which simplifies further to

\sqrt{17151929.44}

which, on your calculator, is 4141.49 meters squared (that's rounded to the nearest hundredth).

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3 years ago
As the sample size becomes larger, the sampling distribution of the sample mean approaches a _____. a. binomial distribution b.
kkurt [141]

Answer:

c. normal probability distribution

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

By the Central Limit Theorem, it is a normal distribution, so option c.

7 0
3 years ago
Match the correct letter
svet-max [94.6K]

Answer:

1) f

4 * ¼ = 1 (Multiplicative inverse property)

2) c

6 * 1 = 6 (Identity property of multiplication)

3) h

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4) j

If 5 + 1 = 6 and 4 + 2 = 6, then 5 + 1 = 4 + 2 (Transitive property)

5) a

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6) i

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7) k

Rules that allow us to take short cuts when solving algebraic problems.(Properties)

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9) g

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5 0
3 years ago
The area of a rectangle is 91 square inches. If the length of the rectangle is 1 less than twice its width, write an equation th
Ahat [919]

The following equation can be used to calculate the width, w, of the rectangle with the specified area: 2w²- w - 91 = 0.

<h3>What is a Rectangle's Area?</h3>

rectangle area = length width

Multiply the length by the width to obtain the area of a rectangle. The formula is as follows: A = L * W where A is the area, L denotes the length, W denotes the width, and * denotes multiplication. where A denotes area, s denotes side length, and implies multiply.

Given,

Rectangle area = 91 in.

2 w = width

The rectangle's length equals 2w - 1.

Using the area formula, the equation for calculating w would be: (2w - 1)(w) = 91.

2w² - w - 91 = 0

As a result, the equation for determining the width, w, of the rectangle with the specified area is: 2w² - w - 91 = 0.

To know more about area, visit:

brainly.com/question/20693059

#SPJ1

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1 year ago
How many times greater is the value of 4 in 840700 than the value of 4 in 67400
kap26 [50]
I am lead to believe th =e answer would be 10,000 :)
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3 years ago
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