Does anyone know how to do this?
1 answer:
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In order to determine whether the equations are parallel, perpendicular, or neither, let's simply each equation into a slope-intercept form or basically, solve for y.
Let's start with the first equation.
Cross multiply both sides of the equation.
Subtract 6x on both sides of the equation.
Divide both sides of the equation by -5.
Therefore, the slope of the first equation is 4/5.
Let's now simplify the second equation.
Add x on both sides of the equation.
Divide both sides of the equation by -4.
Therefore, the slope of the second equation is -5/4.
Since the slope of each equation is the negative reciprocal of each other, then the graph of the two equations is perpendicular to each other.
Answer:
The inequality is
Step-by-step explanation:
Total time:
The total time to complete the test is the sum of the number of multiple-choice questions multiplied by the time it takes to solve each and the number of short-answer questions multiply by the time it takes to solve each.
In this question:
Same number(n) of both.
Multiple-choice takes 2 minutes, short-answer takes 3.5 minutes. The total time is given by:
Write an inequality to determine how many questions, n, the teacher can include if the test must take students less than 45 minutes to complete.?
This means that:
So
The inequality is
Answer: d. 1.3333
Step-by-step explanation:
We know that the standard error of a sampling distribution is given by :-
, where = Population standard deviation.
n= Sample size.
AS per given , we have
n=81
Then, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 will be :-
Hence, the standard error of a sampling distribution with a population standard deviation of 12 and the sample size of 81 is 1.3333.
Thus the correct answer is d. 1.3333 .