Answer:
c. [70.30, 74.70]
Step-by-step explanation:
Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.
The confidence interval of a statistical data can be written as.
x+/-zr/√n .......1
Given;
Mean gain x = 72.5 cm
Standard deviation r = 4.5 cm
Number of samples n = 16
Confidence interval = 95%
z (at 95% confidence) = 1.96 (from the table)
Substituting the values we have into equation 1;
72.5 +/- 1.96×4.5/√16
72.5 +/- 2.20 cm
[70.30, 74.70]
Therefore, the 95% confidence interval is
[70.30, 74.70] cm
We have to write down some values that we can see from the graph. At x=0, the value is 100. At x=1, the y-value is 150 and at x=2 the graph has a value of a little over 200. We see also that this is an exponential graph, so we might assume that there is a specific ratio from each x-value to the next. We get that this ratio is 150/100=1.5. Hence, the quantity increases by 1.5 or 150% every time we add 1 to the x-coordinate. The 2 first sentences are correct. If an amount increases by 50% after a year, at the end of the year there is 150% of it (we need to add the initial capital which is 100%). Thus the graph here has as x-axis years and as y-axis money. The same concept holds for the 2nd sentence. The 3rd sentence is wrong because the value here is not multiplied but added. This would produce a linear graph. Sentence 4 has the wrong ratio; if that was true, then at x=1 we would have 200 oranges, not 150. For the same reason option 5 is wrong; 150*100=15000, not 150.
<span>6-2x=6x-10x+4
6-2x=-4x+4
Add 4x to both sides: 6+2x=4
Subtract 6 from both sides" 2x = -2
divide 2 from both sides: x=-1</span>
Answer:
8x-3
Step-by-step explanation:
take a 2 out of each of them
Answer:
$432.18
Step-by-step explanation:
Time and a half = 50% more pay rate / 1.5*6.86 = $10.29 per hour
Double time = 2*6.86 = $13.72 per hour
Rest of the time => At regular rate
Total Amount = 10(10.29) + 4(13.72) + (54 - 10 - 4)(6.86)
= 10(10.29) + 4(13.72) + (40)(6.86)
= $ 432.18
