We know, Point slope form is written as:
y - y₁ = m(x - x₁)
First, We need to Calculate the slope:
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 1) / (-3-2)
m = 1/-5
m = -1/5
Take any one of them: Let's take (-3, 2) as our coordinate:
y - 2 = m(x - (-3))
y - 2 = -1/5(x + 3)
In short, Your Answer would be Option D
Hope this helps!
Answer: Mark's sample is more representative.
Step-by-step explanation:
Answer:
a

b

Step-by-step explanation:
From the question we are told that
The mean value is 
The standard deviation is 
Considering question a
The sample size is n = 9
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the probability that the sample mean hardness for a random sample of 9 pins is at least 51 is mathematically represented as



=> 
From the z table the area under the normal curve to the left corresponding to 2.5 is

=> 
=> 
Considering question b
The sample size is n = 40
Generally the standard error of the mean is mathematically represented as

=>
=> 
Generally the (approximate) probability that the sample mean hardness for a random sample of 40 pins is at least 51 is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to 5.2715 and
=> 
So

=> 
Answer:
The answer is B.
Step-by-step explanation:
Given that the total angles in a triangle is 180° so in order to find the value of x, you have to substract 60° and 80° from 180° :




Answer: The correct answer is <em>-x+3y=6</em>
Step-by-step explanation:
<u>Solve for x:</u>
y=1/3x+2
1) Flip the equation:
1/3x+2=y
2) Add -2 to both sides:
1/3x+2+−2=y+−2
1/3x=y−2
3) Divide both sides by 1/3:
(1/3x)/(1/3)=(y−2)/(1/3)
x=3y−6
In standard form (Ax=By=C): -x+3y=6