Answer:
Mean age: 48
Standard deviation: 4
Step-by-step explanation:
a) Mean
The formula for Mean = Sum of terms/ Number of terms
Number of terms
= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10
= 480/10
= 48
The mean age is 48
b) Standard deviation
The formula for Standard deviation =
√(x - Mean)²/n
Where n = number of terms
Standard deviation =
√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]
= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10
=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10
=√160/10
= √16
= 4
The standard deviation of the ages is 4
Answer:
is D i had this on my math test
Step-by-step explanation:
That's again the derivative at 2, so the answer is A. 4. Hard way:
f(x)=x²
f(2)=4
f(2+h) = (2+h)² = 4 + 4h + h²
f(2+h) - f(2) = 4h + h²
(f(2+h)-f(2))/h = 4 + h
Limit is 4.
Answer: A. 4
Answer:
Step-by-step explanation:
![Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-6-7}{2-[-3]}=\dfrac{-6-7}{2+3}\\\\\\=\dfrac{-13}{5}](https://tex.z-dn.net/?f=Slope%20%3D%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-6-7%7D%7B2-%5B-3%5D%7D%3D%5Cdfrac%7B-6-7%7D%7B2%2B3%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-13%7D%7B5%7D)
Remember to use trig form the general equation is: r(cos(angle) + i sin(angle))
to find r, take √a^2 + b^2 to get 3 for the angle it would be undefined so thee argument would be π / 2. So your answer is 3(cos(π/2) + i sin(π/2))
