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damaskus [11]
3 years ago
10

A city park is in the shape of a square. The area of the park is 441 yards2. How many feet long is one side of the park? A) 7 fe

et B) 49 feet C) 63 feet D) 74 feet
Mathematics
1 answer:
IceJOKER [234]3 years ago
3 0

Answer:

One side of the park is 63 feet.

C is the correct option.

Step-by-step explanation:

We have been given that the shape of the city park is a square and the area if the park is 441 square yards.We have to find the side of the park.

We know that the four sides of a square is equal and the area is given by

A=\text{(side)}^2

On substituting the value of area, we get

441=\text{(side)}^2

Take square root both sides and ignore the negative values of side

\sqrt{441}=\text{side}

On simplifying, we get

Side = 21 yards

Now, we know that

1 yard = 3 feet

Hence, we have

21 yards = 3×21 = 63 feet

Therefore, one side of the park is 63 feet.

C is the correct option.

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antiseptic1488 [7]

Answer:

107 degrees

Step-by-step explanation:

All polygon degrees add up to 360

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Then divide by 2 because there are 2 x angles

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A financial advisor is analyzing a family's estate plan. The amount of money that the family has invested in different real esta
Pachacha [2.7K]

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of money that the family has invested in different real estate properties.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = $225,000 and <em>σ</em> = $50,000.

It is provided that the family has invested in <em>n</em> = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

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Now the lowest 80% of the amount invested can be represented as follows:

P(\bar X

The value of <em>z</em> is 0.84.

*Use a <em>z</em>-table.

Compute the value of the mean amount invested as follows:

\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}

   =225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

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