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P is just a definition: it's the ratio between a circle's diameter and its circumference. In other words, any circle circumference is approximately 3.14 (p) times longer (around) than its diameter length. Some old Greek dude discovered it a few thousand years ago... Let's do the first 3 problems together - by then I think you'll have confidence you can do the remaining 3! 1. If C = 2pr, then we substitute C = 2*3.14*6, = 37.68 2. If C = 2pr, then let's rearrange that so we can find r: divide both sides (to keep it equal) by 2p to get r by itself: C/2p = 2pr/2p, so r = C/2p. Now substitute: r = 24p/2p = 12 3. If C = 2pr, then r = C/2p (see #2 above), then r = d/2. If A = pr2, then A = p (C/2p)2. Substitute: A = p (32p/2p)2, or A = p (16)2 A = 3.14 * 256 = 803.84 Now can you complete #3 - #6? I bet you can... :-)
4x = 37
divide each side by 4
x = 37/4
4 goes into 37 9 times with 1 left over
x = 9 1/4
Either the problem is incorrect or the answer choices are incorrect
To find the range you subtract the largest number from the smallest 20-13=7. To find the interquartile range you have to find the median of the data set. The median is 18.5, now there are two sets split in half. The median for the lower quartile is 14.5 and the median for the upper quartile is 19. Range=7 and IQR=18.5-14.5=4. IQR=4
Using linear function concepts, it is found that the change in the breaking weight of the pennies was of -6 units of weight.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the function is:
y = -6x + 136.
The slope is of m = -6, hence the change in the breaking weight of the pennies was of -6 units of weight.
More can be learned about linear function concepts at brainly.com/question/24808124
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