PLEASE HELP!!!! Given the system of linear equations y= -5 and y= 3x-2 Part A: Graph the system of linear equations. Part B: Use
the graph created in Part A to determine the solution to the system. Part C: Algebraically verify the solution from Part B
1 answer:
Answer:
A. See attached diagram
B. (-1,-5)
C. (-1,-5)
Step-by-step explanation:
Part A. See attached diagram
Part B. The commmon point of two graphs is point (-1,-5), then the solution of the system of two equations is x=-1, y=-5.
Part C. Solve the system algebraically. Substitute y=-5 into the second equation:
Then the solution of the system is x=-1 and y=-5.
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Answer:
We conclude that 18% of all high school students smoke at least one pack of cigarettes a day.
Step-by-step explanation:
We are given that researchers suspect that 18% of all high school students smoke at least one pack of cigarettes a day.
At the local high school, a randomly selected sample of 300 students found that 50 students smoked at least one pack of cigarettes a day.
Let p = <u><em>proportion of all high school students who smoke at least one pack of cigarettes a day.</em></u>
So, Null Hypothesis, : p = 18% {means that 18% of all high school students smoke at least one pack of cigarettes a day}
Alternate Hypothesis, : p < 18% {means that less than 18% of all high school students smoke at least one pack of cigarettes a day}
The test statistics that would be used here is <u>One-sample z -test for proportions</u> because we are given with the proportions values;
T.S. = ~ N(0,1)
where, = sample proportion of students who smoked at least one pack of cigarettes a day =
= 0.167
n = sample of students = 300
So, <u><em>test statistics</em></u> =
= -0.604
The value of z test statistics is -0.604.
Also, P-value of the test statistics is given to us is 0.2743.
Since, the P-value of test statistics is more than the level of significance as 0.2743 > 0.025, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis</u>.
Therefore, we conclude that 18% of all high school students smoke at least one pack of cigarettes a day.