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3 years ago

mary ran 2 miles in about 23 minutes if she continued at the same pace, how long will it take her to run 6.1 miles

Mathematics

1 answer:

Montano1993 [528]3 years ago

5 0

Answer:

It will take her 2 hours 18 mins. and 6 (138.6 mins.) seconds for her to run 6.1 miles

Step-by-step explanation:

You might be interested in

Select the correct answer.

Inessa05 [86]

Answer:

Step-by-step explanation:

6^(1-1) + 6^(2-1) + 6^(3-1) + 6^(4-1)

= 1 + 6 + 36 + 216

= 259.

6 0

3 years ago

The proportion of items in a population that possess a specific attribute is known to be 0.45. a. If a simple random sample of s

yanalaym [24]

Answer: 0.05

Step-by-step explanation:

Sampling error is the error occurs by considering sample for study instead of entire population.

Given : The proportion of items in a population that possess a specific attribute is known to be 0.45.

Sample size : n= 100

Sample proportion of items in a population that possess a specific attribute : $\hat{p}=0.48$

Now, the formula to find the sampling error :

$\text{Sampling error} =\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$\text{Sampling error} =\sqrt{\dfrac{0.48(1-0.48)}{100}}$

$=\sqrt{\dfrac{0.48(0.52)}{100}}\\\\=\sqrt{0.002496}\approx0.05$

Hence, the sampling error =0.05

4 0

3 years ago

The curves y = √x and y=(2-x) and the Cartesian axes form two distinct regions in the first quadrant. Find the volumes of rotati

makkiz [27]

Answer:

Step-by-step explanation:

If you graph there would be two different regions. The first one would be

$y = \sqrt{x} \,\,\,\,, 0\leq x \leq 1 \\$

And the second one would be

$y = 2-x \,\,\,\,\,, 1 \leq x \leq 2$ .

If you rotate the first region around the "y" axis you get that

$A_1 = 2\pi \int\limits_{0}^{1} x\sqrt{x} dx = \frac{4\pi}{5} = 2.51$

And if you rotate the second region around the "y" axis you get that

$A_2 = 2\pi \int\limits_{1}^{2} x(2-x) dx = \frac{4\pi}{3} = 4.188$

And the sum would be 2.51+4.188 = 6.698

If you revolve just the outer curve you get

If you rotate the first region around the x axis you get that

$A_1 =\pi \int\limits_{0}^{1} ( \sqrt{x})^2 dx = \frac{\pi}{2} = 1.5708$

And if you rotate the second region around the x axis you get that

$A_2 = \pi \int\limits_{1}^{2} (2-x)^2 dx = \frac{\pi}{3} = 1.0472$

And the sum would be 1.5708+1.0472 = 2.618

7 0

3 years ago

An electronic store prices 3 dozen video games at a total of 1467 if each video game costs the same amount what m is the total c

PilotLPTM [1.2K]

Answer:4 dozens of video games would cost $1956

Step-by-step explanation:

An electronic store prices 3 dozen video games at a total of 1467. A dozen of video games is 12. Therefore, the total number of video games whose cost is 1467 is 12 × 3 = 36

if each video game costs the same amount, then the cost of one video game would be

1467/36 = $40.75

The total number of video games in 4 dozens of video game would be

4 × 12 = 48

Therefore, the total cost of 48 video games would be

48 × 40.75 = $1956

4 0

3 years ago

The diameter of the inscribed circle in a regular hexagon is 4√3 inches long. What is the perimeter of this regular hexagon?

barxatty [35]

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

3 0

3 years ago