EASY QUESTION 20 POINTS& BRAINLIEST
1 answer:
Answer:
See explanation below, and see attached photo for graphs
Step-by-step explanation:
To graph 3x + y = 6, find the x and y intercepts.
We get the x intercept when y = 0, so plug in 0 for y and solve...
3x + 0 = 6
3x = 6
x = 2, so the x intercept is at (2, 0)
We get the y intercept when x = 0, so plug in 0 for x and solve...
3(0) + y = 6
y = 6, so the y intercept is at (0, 6)
Plot those two points and draw a line through them
To graph -3x - 4y = 12, find the x and y intercepts.
We get the x intercept when y = 0, so plug in 0 for y and solve...
-3x - 4(0) = 12
-3x = 12
x = -4, so the x intercept is at (-4, 0)
We get the y intercept when x = 0, so plug in 0 for x and solve...
-3(0) - 4y = 12
-4y = 12
y = -3, so the y intercept is at (0, -3)
Plot those two points and draw a line through them
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Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
2.08
Now, we estimate standard deviation:
s = 0.1564
For t-score, we need to determine degree of freedom and :
df = 12 - 1
df = 11
= 1 - 0.95
α = 0.05
0.025
Then, t-score is
= 2.201
The interval will be
±
2.08 ±
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.