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4 years ago

Work out the mean for the number and answer as a fraction

Mathematics

1 answer:

disa [49]4 years ago

5 0

Answer: 4 and 1/4

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

So to find the mean of the data set shown here, let's begin by adding the numbers.

$2 + 3+6+3+5+5+3+7=34$

34 will be divided by how many numbers are in the set which is 8.

34 ÷ 8 = 4.25

To write 4.25 as a fraction, we can first write 4.25 as a fraction with 1 in the denominator.

Now, we can multiply 4.25/1 x 100/100 in order to remove the 2 decimal places. Once we multiply the numerator and denominator by 100/100, we get the fraction 425/100.

Now, we can reduce 425/100 by dividing both the numerator and denominator by the greatest common factor of 425 and 100 which is 25.

425 ÷ 25 = 17

100 ÷ 25 = 4

17/4 can be written as the mixed number 4 and 1/4.

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A circle's radius that has an initial radius of 0 cm is increasing at a constant rate of 5 cm per second.

djyliett [7]

Answer:

a) $r(t)=5t$

b) $A=\pi\cdot r^2$

c) $A=\pi\cdot (5t)^2$

d) $A=25\pi t^2$

Step-by-step explanation:

We know that the circle is increasing its radio from an initial state of r=0 cm, at a rate of 5 cm/s.

This can be expressed as:

$r(0)=0\\\\dr/dt=5\\\\r(t)=r(0)+dr/dt\cdot t=0+5t\\\\r(t)=5t$

a) Radius of the circle, r (in cm), in terms of the number of seconds, t since the circle started growing:

$r(t)=5t$

b) Area of the circle, A (in square cm), in terms of the circle's radius, r (in cm):

$A=\pi\cdot r^2$

c) Circle's area, A (in square cm), in terms of the number of seconds, t, since the circle started growing:

$A=\pi\cdot r^2\\\\A=\pi\cdot (5t)^2$

d) Expanded form for the area A:

$A=\pi\cdot (5t)^2=25\pi\cdot t^2$

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3 years ago

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Answer:

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3 years ago

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