Answer:83 and 97
Step-by-step explanation:
Let the angle be y
The second angle will be y+14
A supplementary angle equals 180°
y + y + 14=180
2y+14=180
2y=180-14
2y=166
y=166/2
y=83
The first angle is 83.
Second angle will be 83+14=97.
Answer:
The 90% confidence interval is 0.575 to 0.625.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence interval , we have the following confidence interval of proportions.
In which
Z is the zscore that has a pvalue of .
For this problem, we have that:
90% confidence interval
So , z is the value of Z that has a pvalue of , so .
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval is 0.575 to 0.625.
<h3>Answer: Choice B</h3>
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Explanation:
Using your calculator, you should find that
- sqrt(125) = 11.1803 approximately
- sqrt(196) = 14 exactly
- sqrt(207) = 14.387 approximately
- sqrt(220) = 14.832 approximately
Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.
Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.
The result of a transformation can be called,translation reflection or rotation the original figure is called a preimage
Answer:
180 ft^2
Step-by-step explanation:
larger box: 8*3*5 = 120
here we see that one side of the smaller box is unlabeled. but the total side length is 7, and the larger box is 3 long, so:
smaller box= (7-3)*3*5 = 60
total=120+60=180