The product is 3 because -3/4 * -4 is 3
Answer:
See below ↓↓
Step-by-step explanation:
<u>Equation of line k</u>
- y = mx + b
- m = Δy/Δx (ratio of change in y to change in x) = 2/3
- b = 3 (as y-intercept is [0,3])
- ⇒ y = 2/3x + 3
<u />
<u>a. parallel line</u>
- For parallel lines, slope (m) remains the same, but the y-intercept (b) changes
- ⇒ <u>y = 2/3x + 1</u>
<u></u>
<u>b. perpendicular line</u>
- For perpendicular lines, the slope (m) is the negative reciprocal of the original line and the value of b stays the same [it can be any point as long as it intersects the line]
- ⇒ <u>y = -3/2x + 1</u>
Given:
Length of chords of one segment = 11 and 8
Length of chords of other segment = 2 and x
To find:
The value of x.
Solution:
<em>If two chords intersect each other inside a circle, the products of length their segments are equal.</em>



Divide by 2 on both sides.


Switch the sides.

The value of x is 44.
Answer:
We are 95% confident that the true proportion of U.S. adults who live with one or more chronic conditions is between 39.7% and 46.33%
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The standard error is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
Generally from the normal distribution table the critical value of
is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally 95% confidence interval is mathematically represented as

=> 
=>
Converting to percentage
Answer:

Step-by-step explanation:
Given

Required
The average rate over ![[2,b]](https://tex.z-dn.net/?f=%5B2%2Cb%5D)
Average rate (m) is calculated using:

Where
![[a,b] = [2,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%20%3D%20%5B2%2Cb%5D)
So, we have:

Calculate f(b) and f(2)



So, we have:



Expand the numerator

Factorize

Factor out 3b + 6

Cancel out b - 2
