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Alexus [3.1K]
3 years ago
8

earth completes its 584-million-mile orbit of the sun in about 365 days. how fast is earth moving through its orbit in miles per

hour?
Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

<em>66666.67 miles/hr</em>

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 \times 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

Speed = \dfrac{Distance}{Time}

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}

So, the answer is: <em>66666.67 miles/hr</em>

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Solution:

Given data:

Mean (μ) = 433

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<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

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$Z(X)=\frac{x-\mu}{\sigma}

$Z(433)=\frac{433-\ 433}{90}=0

$Z(523)=\frac{523-\ 433}{90}=1

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P(433 < x < 523) = P(0 < Z < 1)

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i. e. ((\mu-\sigma) \ \text{to} \ (\mu+\sigma))=68\%

Here μ to μ + σ = \frac{68\%}{2} =34\%

Hence 34% of the scores lie between 433 and 523.

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