Answer:
The product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Step-by-step explanation:
The slope-intercept form of the line equation
where
Given the lines
y = 2/3 x -3 --- Line 1
y = -3/2x +2 --- Line 2
<u>The slope of line 1</u>
y = 2/3 x -3 --- Line 1
By comparing with the slope-intercept form of the line equation
The slope of line 1 is: m₁ = 2/3
<u>The slope of line 2</u>
y = -3/2x +2 --- Line 2
By comparing with the slope-intercept y = mx+b form of the line equation
The slope of line 2 is: m₂ = -3/2
We know that when two lines are perpendicular, the product of their slopes is -1.
Let us check the product of two slopes m₁ and m₂
m₁ × m₂ = (2/3)(-3/2
)
m₁ × m₂ = -1
Thus, the product of the slopes of lines is -1.
i.e. m₁ × m₂ = -1
Thus, the lines are perpendicular.
Answer:
<em>72 omelets</em>
Step-by-step explanation:
If the whole stick of butter is cut into 6 pieces, and you can use one of those 6 pieces of butter per omelet, you can make 6 omelets with one stick of butter. Now, you have 12 sticks of butter, and you can make 6 omelets with each. 12 x 6= 72. I believe u can make 72 omelets in all.
Hope this helps dear!!
102 batches because all you have to do is multiply 12 and 8 1/2 I hope this helped
Answer:
Null hypothesis would be:
C. The true proportion of residents who have recently had the flu is 0.05.
Alternative hypothesis would be:
E. The true proportion of residents who have recently had the flu is greater than 0.05.
Step-by-step explanation:
Hypothesis testing is made to estimate the true population proportion<em> using the sample info. </em>
The purpose is to provide sufficient evidence to support that the true proportion of people who have recently had the flu is greater than 0.05. Therefore null and alternative hypotheses use this proportion.
