Complete Question
In a random sample of 13 microwave ovens, the mean repair cost was $90.00 and the standard deviation was $15.20. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, assume the population is normally distributed, find the margin of error and construct a 98% confidence interval for the population mean u. A 98% confidence interval using the t-distribution was (78.7,101.3). Compare the results. The margin of error of u is
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The sample is 
The sample mean is 
The standard deviation is 
The lower limit of the 98% confidence interval is 
The upper limit of the 98% confidence interval is 
Generally the margin of error is mathematically represented as
=> 
=>
1. To find this we are going to use the converse of the Pythagorean theorem: if the square of the longest side of a triangle is equal to the sum of the squares of its smaller side, the triangle is a right one.
We know from our picture that the longer side of the triangle is 36 and its shorter sides are 24 and 15.
The converse also says that if the square of the longest side is greater than the sum of the squares of the shorter sides, the triangle is
obtuse, and if the square of the longest side less than the sum of the squares of the shorter sides, the triangle is
acute.
We can conclude that our triangle is an obtuse one; the correct answer is the third one:
obtuse2. Here we have a right triangle with longer side 80 feet and one of the shorter sides 65 feet. Lest
be the distance from the base to the guy wire attached point.
Using the Pythagorean theorem:
We can conclude that the correct answer is fourth choice:
46.64
3. Here we are going to use the Pythagorean theorem. We know that the longest side of our triangle is 40 and its shorter sides are 9 and
. Using the Pythagorean theorem:
We can conclude that the correct answer is the fourth option:
38.97
89/6 or 14,5/6 or 14.83 that 14 in the fraction is the whole number so it would go first then 5/6
The little bars on each side of the number -27 represent absolute value. This means that you must take the positive of the number inside the absolute value. In this case the positive of -27 is...
A. 27
Hope this helped!
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Step-by-step explanation:
There are two trapezium(s), area of 2:
= 2 [½ x (sum of || sides) x height]
= 2[½ x (4 + 8) x 4.6 ] [not clearly visible if it is 4.5 or 4.6]
= 55.2 yd²
Area of vertically tilted rectangles
1): area = 5 x 4 = 20 yd²
2): area = 5 x 4 = 20 yd²
Total area = 20 + 20 = 40 yd²
Area of horizontal rectangles:
1): area = 4 x 8 = 32 yd² [upper]
2): area = 4 x 4 = 16 yd² [lower]
Area of given surface = 55.2 + 40 + 32 + 16 = 143.2 yd²
