In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3
The angle of the sector is also equal to the arc measure of the circle. This is because a sector is made up of two radii of a circle.
A circle is 360 degrees.
60 / 360 = 1/6
The sector is 1/6 of the circle.
Hope this helps!! :)
Answer:
Pete
Step-by-step explanation:
Given that:
Mandy's Estimate :
Number of spins , n = 20
Pete's Estimate:
Number of spins, n = 200
A good probability estimate is one which has narrow margin of error with a high degree of confidence. These two variables are affected by sample size.
A high sample size give a narrower margin of error and increases the confidence level probability
Based on the sample size used by each of Pete and Mandy, we can conclude that, Pete's probability estimate would be better due to its significantly higher sample size.
Answer:
The functions given are:
f(x) = x²
g(x) = f(-4x-3) + 1
First, find f(-4x-3):
f(x) = x²
f(-4x-3) = (-4x-3)²
Find g(x):
g(x) = f(-4x-3) + 1
g(x) = (-4x-3)² + 1
g(x) = (-1)² (4x+3)² + 1
g(x) = (4x+3)² + 1
First take
y = (x)²
Compress the graph along x axis by multiplying x with 4
y = (4x)²
Shift the graph left by 0.75 units, by adding 3 to x term.
y = (4x+3)²
Shift the graph up by 1 unit by adding 1 to the total terms.
y = (4x+3)² +1
Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question
Hence , the roots are 1/2 and -6
The graph attached confirms the same ,
Hope it helps you :)