A statistics calculator pegs that chance at
0.82553.
Answer:
a) 9.62m (3 s.f.)
b) 2.58m (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answe
Given,
f(x) = 49 − x² from x = 1 to x = 7
n = 4
![\Delta x = \dfrac{7-1}{4}= 1.5](https://tex.z-dn.net/?f=%5CDelta%20x%20%3D%20%5Cdfrac%7B7-1%7D%7B4%7D%3D%201.5)
For x= 1
f(x₀) = 49 - 1^2 = 48
x = 2.5
f(x₁) = 42.75
x = 4
f(x₂) = 49 - 4^2 = 33
x = 5.5
f(x₃) = 49 - 5.5^2 = 18.75
x = 7
f(x₄) = 49 - 7^2 = 0
We have to evaluate the function on therigh hand point
![A = \Delta x [f(x_1)+f(x_2)+f(x_3)+f(x_4)]](https://tex.z-dn.net/?f=A%20%3D%20%5CDelta%20x%20%5Bf%28x_1%29%2Bf%28x_2%29%2Bf%28x_3%29%2Bf%28x_4%29%5D)
![A = 1.5 [42.75+33+18.75+0]](https://tex.z-dn.net/?f=A%20%3D%201.5%20%5B42.75%2B33%2B18.75%2B0%5D)
![A = 141.75](https://tex.z-dn.net/?f=A%20%3D%20141.75)
For Area for left hand sum
![A = \Delta x [f(x_0)+f(x_1)+f(x_2)+f(x_3)]](https://tex.z-dn.net/?f=A%20%3D%20%5CDelta%20x%20%5Bf%28x_0%29%2Bf%28x_1%29%2Bf%28x_2%29%2Bf%28x_3%29%5D)
![A = 1.5 [48+42.75+33+18.75]](https://tex.z-dn.net/?f=A%20%3D%201.5%20%5B48%2B42.75%2B33%2B18.75%5D)
![A =213.75](https://tex.z-dn.net/?f=A%20%3D213.75)
When the boy is boy is 5 years old, his sister is 3 times as old as he. This means his sister is 15 years old at that time. we can notice in the ages that there is an age gap of 10 years. Thus, <span>when the boy is 10, his sister is 10 + 10 or equal to 20 years old.</span>
Answer:
So the answer is 11 hours and 5 minutes (all the work/explanation is on the picture).