For this case we have that the area of a circle is given by:
Where:
r: It is the radius of the circle
By clearing the radio we have:
We take the positive value:
The diameter is twice the radius:
Answer:
Answer:
16/25
Step-by-step explanation:
Given
Number of green marbles = 9
Number of White marbles = 17
Total number of marbles = 26
Probability of picking a white marble = 17/26
When a white marble is picked without replacement,
Probability of picking another white marble after first picking a white marble
= 16/25
= 0.64
This is because the total number of marbles would have reduced from 26 to 25 and the number of white marbles from 17 to 16.
For parts A, B, C, and D you most likely created a line. What question E is asking is for you to create a line that is perpendicular to the line you already created that also passes through the point (1,1). What is important to understand here is that the slope of the perpendicular line is the negative reciprocal of the original line's slope... if the original slope is (-4/3) than the perpendicular slope is (3/4)... then you should just plug that new slope into point-slope form or slope-intercept form to get your equation... y-y1 = m(x-x1) ... y-1= (3/4)(x-1) ... so it would be y=(3/4)x + 1/4 then for part f just convert into standard form which is just manipulating the variables... look up standard form equation on Google and manipulate the variables from there.
Answer:
Step-by-step explanation:
We have the function:
![h(x)=f[f(x)]](https://tex.z-dn.net/?f=h%28x%29%3Df%5Bf%28x%29%5D)
And we want to find:
So, we will differentiate function <em>h</em>. By the chain rule, this yields:
![h^\prime(x)=f^\prime[f(x)]\cdot f^\prime(x)](https://tex.z-dn.net/?f=h%5E%5Cprime%28x%29%3Df%5E%5Cprime%5Bf%28x%29%5D%5Ccdot%20f%5E%5Cprime%28x%29)
Then it follows that:
![h^\prime(1)=f^\prime[f(1)]\cdot f^\prime(1)](https://tex.z-dn.net/?f=h%5E%5Cprime%281%29%3Df%5E%5Cprime%5Bf%281%29%5D%5Ccdot%20f%5E%5Cprime%281%29)
Using the table, we acquire:
And using the table again, we acquire:
Evaluate. Hence:
It would be: 5.99*20/100 = 1.198
