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3 years ago

5

during Sonia's trip across the country that she travel 2884 miles her trip took 7 Days find a unit rate to represent the average

amount of travel per day during the trip

1 answer:

wolverine [178]3 years ago

6 0

You could find the unit rate by dividing 2884 miles by 7 days to get 412 miles/ day

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Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island o

horsena [70]

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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2 years ago

Find the equation of the line with y-intercept 5 and slope 5/9

konstantin123 [22]

Answer:

y=5/9x+5

Step-by-step explanation:

The formula is y=mx+b with m being the slope and b being the y intercept so just plug in the values.

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3 years ago

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If a circle has a radius length of 2x units, what is the circle's circumference?

Brut [27]

Answer: 12.56

Step-by-step explanation:

If I remember correctly, the equation for circumference is C=2r*pi (R representing radius). For this problem, if 2 is your radius 2R would equal 4. Take this number and multiply it by 3.14 (pi) to get your final answer.

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3 years ago

What 1/4(3.14)(5.4^3)(12)<br><br>and any player boys out there<br>plzzzzzz im bored

Soloha48 [4]

Answer is 1483.31088

Explanation:

It is asked that $=(\frac{1}{4})(3.14)(5.4^{3} )(12)\\=(3.14)(5.4^{2} )(3)\\\\=(3.14)(157.464)(3)\\=1483.31088\\$

Answer is 1483.31088

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The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, $\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74$

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = $\dfrac{2+3}{2}=\dfrac52=2.5$

Mode = most repeated number = 2 (thrice)

geometric mean = $\sqrt[n]{x_1\times x_2\times.... x_n}$

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

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