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lozanna [386]
3 years ago
13

Charlie runs at a speed of 3 yards per second . About how many miles per hour does Charlie run?

Mathematics
2 answers:
MrMuchimi3 years ago
6 0
Ok so this can get tricky, it is basically just asking for you to perform many unit conversions. I'll try to simplify it for you here while still maintaining the explanation. If you have any questions about this process feel free to message me. 

3 yards = ____ miles (conversion factor is 1760 because there are 1760 yards in a mile) 

3/1760 = 0.017 miles,

Now we just need to convert seconds to hours. 

1 second is how many mins, then how many mins in an hour? 

360 seconds in an hour. 

Ok now we just need to combine these two pieces of info, 
0.017/360 = 4.72222 miles per hour. Thus 4.72 is the answer.
Volgvan3 years ago
6 0

Answer:

6.14 miles/hour

Step-by-step explanation:

Charlie runs at a speed of 3 yards per second.

First we have to calculate the speed per hour in yards.

1 hour = 3600 seconds

In one second Charlie runs = 3 yards

in 3600 seconds he runs = 3600 × 3

                                          = 10,800 yards

Since 1760 yards = 1 mile

Hence, 10,800 yards = \frac{10800}{1760}

                                   = 6.13636 ≈ 6.14 miles

Charlie runs at the speed of 6.14 miles per hour.

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timofeeve [1]

Answer:

(a) The average grade point is 2.5.

(b) The relative frequency table is show below.

(c) The mean of the relative frequency distribution is 0.3333.

Step-by-step explanation:

The given data set is

4, 4, 4, 3, 3, 3, 1, 1, 1, 1

(a)

The average grade point is

Average=\frac{\sum x}{n}

Average=\frac{4+4+4+3+3+3+1+1+1+1}{10}

Average=2.5

Therefore the average grade point is 2.5.

(b)

\text{Relative frequency}=\frac{\text{Frequency of number}}{\text{Total frequency}}

The relative frequency table is show below:

x                 f                  Relative frequency

4                3                 \frac{3}{10}=0.3

3                3                 \frac{3}{10}=0.3

1                 4                 \frac{4}{10}=0.4

(c)

Mean of the relative frequency distribution is

Average=\frac{0.3+0.3+0.4}{3}

Average=0.3333

Therefore the mean of the relative frequency distribution is 0.3333.

4 0
3 years ago
If 75% of a number is 15, 15% of that number
natta225 [31]

Answer:

3

Step-by-step explanation:

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? = 15/0.75 = 20

15% of 20 = 3

5 0
2 years ago
(-5,-2) (1,2) find the point-slope equation produced by the points
ANEK [815]

Answer:

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Step-by-step explanation:

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Vsevolod [243]
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Step-by-step explanation:

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In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

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The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

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