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2 answers:
Step-by-step explanation:
1. convert the equation to its y = mx + b format. remember m is the slope (rise/run) and b is the y-intercept.
2. equation given: x + 2y = -6
bring x over to other side
3. now its looks like 2y = -6 - x
to get y by itself we need to divide by 2
4. now equation looks like y = -6/2 -x/2
we can reduce it so the final equation is
5. y = -1/2x - 3
this is in y=mx+b format. now its much easier to graph
6. the slope is -1/2 and the y-intercept is -3. put a point at (0,-3) and use the slope (-1/2) rise over run to get each point.
7. you move to the left because its negative
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Answer:
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)
Step-by-step explanation:
Our sample size is 11.
The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So
.
Then, we need to subtract one by the confidence level and divide by 2. So:
Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have
Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So
Now, we multiply T and s
cm
For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is
cm
So
95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).