M=11 is the correct answer
Answer:
<u>The standard deviation for the sample of 10 families is 1.68 (Rounding to two decimal places)</u>
Step-by-step explanation:
1. The first step to calculate the standard deviation is to find out the mean, this way:
Mean = (1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 4 + 7)/10
Mean = 27/10 = 2.7
2. Now we calculate the variance, this way:
Variance = [(1 - 2.7)²+(1 - 2.7)²+(2 - 2.7)²+(2- 2.7)²+(2 - 2.7)²+(2 - 2.7)²+(3- 2.7)²+(3 - 2.7)²+(4 - 2.7)²+(7- 2.7)²]/10
Variance = [2.89 + 2.89 + 0.49 + 0.49 + 0.49 + 0.49 + 0.09 + 0.09 + 1.69 + 18.49]/10
Variance = 28.1/10 = 2.81
3. Finally we calculate the standard deviation, this way:
Variance = Standard deviation²
√Variance = Standard deviation
√2.81 = Standard deviation
<u>Standard deviation = 1.68 (Rounding to two decimal places)</u>
The simplest and probably the best way to understand this problem is to make up a problem that obeys what you have been given. It doesn't have to be realistic. It just has to obey the conditions. Let us suppose that you thought the diameter of the tire is 1 yard. That would mean the circumfrence is pi * d
C = 3.14 * 1
That would mean that the circumference is 3.14 yards. It would also mean that you would have to have the wheel turn 1760 yards / /3.14 yards / revolution which is about 561 revolutions / mile. So the way I have set up the problem, my equation is d = 561 * R where R is the number of revolutions.
Now let's see what happens when you say "O my Goodness, the wheel diameter is really 32 inches" which 0.8888888 yards what happens now?
Now you still have to go 1760 yards How many revolutions is that?
C = pi * d
C = 3.14 * 0.88888888
C = 2.79111 yards
How many revolutions does it take to 1760 yards.
R = 1760 // 2.78111 yards / revolution
R = 631 revolutions / mile. What happened?
Your constant goes up if the wheel diameter goes down. Think about this. Do you ride a bicycle? I do. It makes perfect sense to me that if the wheel is small, it will have to turn more often to go a mile. No matter where that 0.00125 comes from or how it was derived, the constant will have to go up if the wheel gets smaller.
Answer:
423
Step-by-step explanation:
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show (
+ 
= 
and solve for b. The square root and square cancel each other out, so you get 65 + = 81.
Subtract 65 from both sides to get = 16.
Then take the square root of both sides to get b = 
which equals 4.
