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Liula [17]
3 years ago
12

Find the area of each shaded region in each figure.

Mathematics
1 answer:
MrRa [10]3 years ago
6 0

Answer:

Step-by-step explanation:

Area of Yellow Rectangle

Area = L * W

Area = 25 * 11

Area = 275

Area of Parallelogram

Area = Base * height

Area = 12 * 4

Area = 48

Area of shaded area

Area = rectangle - Parallelogram

Area = 275 - 48 = 227 square feet

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ELEN [110]

Using the Empirical Rule and the Central Limit Theorem, we have that:

  • About 68% of the sample mean fall with in the intervals $1.64 and $1.82.
  • About 99.7% of the sample mean fall with in the intervals $1.46 and $2.

<h3>What does the Empirical Rule state?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

<h3>What does the Central Limit Theorem state?</h3>

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem, the standard deviation of the distribution of sample means is:

s = \frac{0.657}{\sqrt{50}} = 0.09

68% of the means are within 1 standard deviation of the mean, hence the bounds are:

  • 1.73 - 0.09 = $1.64.
  • 1.73 + 0.09 = $1.82.

99.7% of the means are within 3 standard deviations of the mean, hence the bounds are:

  • 1.73 - 3 x 0.09 = $1.46.
  • 1.73 + 3 x 0.09 = $2.

More can be learned about the Empirical Rule at brainly.com/question/24537145

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5 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
babunello [35]
The 4th one goes with the 1st box
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3 years ago
Jada is solving the equation shown below. Negative one-half (x + 4) = 6 Which is a possible first step to begin to simplify the
elena-14-01-66 [18.8K]

The two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).

<h3>How to determine which two options are the possible first step to begin to simplify the equation?</h3>

The equation is given as:

Negative one-half (x + 4) = 6

Rewrite the above equation properly

So, we have

-1/2(x + 4) = 6

A possible first step is to multiply both sides of the equation -1/2(x + 4) = 6 by -2

So, we have

x + 4 = -12

Another possible first step is to distribute the expression -1/2(x + 4) in the equation

So, we have

-1/2x - 1/2 * 4 = 6

Hence, the two options that are the possible first step to begin to simplify the equation are (c) Multiply both sides of the equation by –2. and (d). Distribute Negative one-half over (x + 4).

Read more about equations at:

brainly.com/question/2972832

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