Answer:
perimeter = 43.98cm
area = 76.96cm^2
Step-by-step explanation:
You take into account that the shaded regions are perfect circles, then, the total perimeter of the shaded regions are given by the circumference of both circles.
You calculate the circumferences, by using the following formula:
(1)
r: radio of the circles = (7/2)cm = 3.5cm
The total perimeter is twice the value of C in the expression (1). You replace r in (1), and calculate the total perimeter:
The perimeter of the shaded region is 43.98cm.
The area of the shaded region is twice the area of one of the circle, which is given by:
The total area of the shaded region is 76.96cm^2
Answer:
8.4
Step-by-step explanation:
Instructions
This calculator computes the mean absolute deviation from a data set:
You do not need to specify whether the data is for an entire population or from a sample. Just type or paste all observed values in the box above. Values must be numeric and may be separated by commas, spaces or new-line. Press the "Submit Data" button to perform the computation. To clear the calculator, press "Reset".
What is the mean absolute deviation
The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.
Mean absolute deviation formula
This calculator uses the following formula for calculating the mean absolute deviation:
$ MAD =\frac{1}{n} \sum_{i=1}^n |x_i-\bar{x}|$
where n is the number of observed values, x-bar is the mean of the observed values and xi are the individual values.
Number of cards in a deck = 52
Number of sevens in the deck = 4
P(seven) = 4/52 = 1/13
P(not seven) = 1 - 1/13 = 12/13
Answer: 12/13
4x-35=9x
-4x
-35=5x
divide by 5
x= -7
Tom started with total 72 chocolate wafers.
<u><em>Explanation</em></u>
The number of chocolate wafers taken by 8 members of the baseball team are in the sequence : 
The above sequence is <u>arithmetic sequence</u> with first term(a₁)= 1 and common difference (d) = 2
<u>Formula for Sum</u> of first 
terms in arithmetic sequence is....
![S_{n}= \frac{n}{2}[2a_{1}+(n-1)d]](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%20%5Cfrac%7Bn%7D%7B2%7D%5B2a_%7B1%7D%2B%28n-1%29d%5D)
So, the Sum of 8 terms in that sequence....
![S_{8}= \frac{8}{2}[2(1)+(8-1)(2)]\\ \\ S_{8}= 4[2+7(2)]\\ \\ S_{8}=4(2+14)\\ \\ S_{8}=4(16)=64](https://tex.z-dn.net/?f=S_%7B8%7D%3D%20%5Cfrac%7B8%7D%7B2%7D%5B2%281%29%2B%288-1%29%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D%204%5B2%2B7%282%29%5D%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%282%2B14%29%5C%5C%20%5C%5C%20S_%7B8%7D%3D4%2816%29%3D64)
That means, the total number of chocolate wafers taken by the baseball team members is 64. Tom ate 5 and then gave his brother 3 chocolate wafers at first.
So, the total number of chocolate wafers at starting 
