Answer:
Option a) A 95% confidence interval for the mean diameter of the 120 bearings in the sample is
.
Step-by-step explanation:
We are given the following information in the question:
Sample size, n = 120
Sample mean = 10 mm
Standard Deviation = 0.24 mm
Formula:



Hence, the correct interpretation for the confidence interval is given by option a).
A 95% confidence interval for the mean diameter of the 120 bearings in the sample is
.
We have to consider the factor of sampling of 120 ball bearings from a population of 10,000 ball bearings.
The answer for ur question should be 123
Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
The next number is 38. The pattern is 7, 16, 8, 27, 9; if you look at the first 4 numbers, you notice that it counts to 7, 8, 9. Then you have 16 and 27, if the pattern continues; the next number is 38.