Formula for circumference = πD (where D is the Diameter)
Since diameter = 2 x radius, we can also write the formula as :
Formula for circumference = 2πr (where r is the radius)
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and c the y- intercept )
(1)
Here m = 6 and b = - 2, then
y = 6x - 2
(2)
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Here m = - 2 and b = 5, then
y = - 2x + 5 ← equation in slope- intercept form
Add 2x to both sides
2x + y = 5 ← equation in standard form
(3)
Calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (6, - 13) and (x₂, y₂ ) = (- 4, - 3)
m = = = - 1 , then
y = - x + b ← is the partial equation
To find b substitute either of the 2 points into the partial equation
Using (- 4, - 3 ) , then
- 3 = 4 + b ⇒ b = - 3 - 4 = - 7
y = - x - 7 ← equation in slope- intercept form
Add x to both sides
x + y = - 7 ← equation in standard form
Answer:
C
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is a conditional probability exercise.
Let's name the events :
I : ''A person is infected''
NI : ''A person is not infected''
PT : ''The test is positive''
NT : ''The test is negative''
The conditional probability equation is :
Given two events A and B :
P(A/B) = P(A ∩ B) / P(B)
P(A/B) is the probability of the event A given that the event B happened
P(A ∩ B) is the probability of the event (A ∩ B)
(A ∩ B) is the event where A and B happened at the same time
In the exercise :
We are looking for P(I/PT) :
P(I/PT)=P(I∩ PT)/ P(PT)
P(PT/I)=P(PT∩ I)/P(I)
0.904=P(PT∩ I)/0.025
P(PT∩ I)=0.904 x 0.025
P(PT∩ I) = 0.0226
P(PT/NI)=0.041
P(PT/NI)=P(PT∩ NI)/P(NI)
0.041=P(PT∩ NI)/0.975
P(PT∩ NI) = 0.041 x 0.975
P(PT∩ NI) = 0.039975
P(PT) = P(PT∩ I)+P(PT∩ NI)
P(PT)= 0.0226 + 0.039975
P(PT) = 0.062575
P(I/PT) = P(PT∩I)/P(PT)
Answer:
y=-3/9x+3
Step-by-step explanation:
The equation should be in y=mx+c form. The m is the slope and the c is the y intercept. You follow this equation to find the slope. y1-y2/x1-x2.