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FinnZ [79.3K]
2 years ago
10

The circumference of a circle is 6.28 miles. What is the circle's radius?

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

Answer:

3.14

Step-by-step explanation:

I dont know if thats correct for sure. I kinda forgot what circumference is.

But how i got this was 6.28/2=3.14

Let me know if this is correct or incorrect.

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Charles wants to find out if the students in foreign language classes spend more time in class speaking in English or in the for
Nuetrik [128]

C. The way the sample was chosen may overrepresent or underrepresent students taking certain language classes.

The samples he chose may not be a representative sample because the number of students per foreign language class may not be the same. Since classes have different numbers of students, one may have a very large number of students while another may have only a few. Taking equal number of students per class is not a representative sample because it doesn't represent the students correctly.

6 0
2 years ago
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A piece of cardboard measures 10 ft by 10 ft. Four equal squares of size x are removed from the corners. After removing the squa
Gnesinka [82]

Answer:

The value of x would be \frac{5}{3}

Step-by-step explanation:

Given,

The dimension of the cardboard = 10 ft by 10 ft,

∵ After removing four equal squares of size x ( in ft ) from the corners,

The dimension of the resultant box would be,

Length = ( 10 - 2x ) ft,

Width = ( 10 - 2x ) ft,

Height = x ft,

The volume of box,

V=(10-2x)\times (10 - 2x)\times x=x(10-2x)^2 = x(100 - 40x + 4x^2)=100x - 40x^2 + 4x^3

Differentiating with respect to x,

V'=100 - 80x + 12x^2

Again differentiating with respect to x,

V''=-80 + 24x

For maxima or minima,

V'=0

\implies 100 - 80x + 12x^2 = 0

\implies 3x^2 - 20x + 25=0

By quadratic formula,

x=\frac{20\pm \sqrt{20^2-4\times 3\times 25}}{6}

x=\frac{20\pm \sqrt{400 - 300}}{6}

x=\frac{20\pm \sqrt{100}}{6}

x=\frac{20\pm 10}{6}

\implies x = \frac{10}{6}=\frac{5}{3}\text{ or } x = 5

For x = 5/3, V'' = negative,

While for x = 5, V'' = Positive,

Hence, the value of x would be 5/3 ft for maximising the volume.

8 0
3 years ago
The two-way table below shows an intendant careers among an incoming class of first-year college students, divided by gender. If
vovangra [49]

Step-by-step explanation:

If one student is chosen from a pool of 2444 maie students, of which 102 are aspiring research scientists, the probability that the chosen student student is a future research scientist is

102/2444 = 4.17% (to the nearest hundredth percent)

8 0
3 years ago
Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
Gnom [1K]

Answer:

The height is 2.25 meters.

Step-by-step explanation:

The volume of a right rectangular prism is the product of the length, width, and height. So it would be V=w*l*h.

Because you have been given the values of the volume, width, and length, you can plug in those values into the equation to find the height. It should look like this: 43.875=5 * 3.9 * h

Then you can divide both sides of the equation by 5 * 3.9.

So... 43.875/(5*3.9)=h

therefore h= 2.25.

hope this explanation makes sense!

4 0
3 years ago
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Which of the following is a unit rate?
Snezhnost [94]

Answer:

The third option (foot/1 hour)

Step-by-step explanation:

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2 years ago
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