Answer:
(47.3, 54.1)
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 50.7 - 3.4 = 47.3
The upper end of the interval is the sample mean added to M. So it is 50.7 + 3.4 = 54.1
The answer is (47.3, 54.1).
Answer:
3/18
Step-by-step explanation:
Answer:
(0.2)(38)
Step-by-step explanation:
To find a percent, you multiply the number (cost) by the decimal of the percent
20% as a decimal is .2
Answer:
- C.) obtuse triangle
- 39°
- 167°
- D.) 111°
Step-by-step explanation:
1. The sum of angles in a triangle is 180°. The sum of the given angles is less than 90°, so the remaining angle must be more than 90°. When the largest angle is more than 90°, it is an obtuse angle. A triangle with an obtuse angle is classified as obtuse.
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2. The sum of the interior angles is 180°, so we have ...
x° +39° +102° = 180°
x° = 39° . . . . . . . . . . . subtract 141°
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3. The third interior angle is the supplement to the sum of the given interior angles. Likewise, x° is the supplement to the third interior angle, so its value is the same as the sum of the two given interior angles. (The rule is often stated as "an exterior angle is equal to the sum of the remote interior angles.")
x° = 130° +37°
x° = 167°
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4. Same deal as problem 3:
x° = 75° +36°
x° = 111°
