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liraira [26]
3 years ago
8

A falcon flew 70 miles in 3 hours. What was the speed of the falcon?. . Given: speed = distance over time; 1 mile = 1609 meters.

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0
There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.
1 mile = 1609 meters
Then
70 miles = 1609 * 70 meters
               = 112630 meters
again
1 hour = 3600 seconds
3 hours = 3600 * 3 seconds
             = 10800 seconds
So
Speed = 112630/10800 meters/second
           = 10.4 meters per second.
So the falcon was flying at a speed of 10.4 meters per second.
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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
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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.

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\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39

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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