Answer:
The sample size used to compute the 95% confidence interval is 1066.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:
The 95% confidence interval for proportion of the bank's customers who also have accounts at one or more other banks is (0.45, 0.51).
To compute the sample size used we first need to compute the sample proportion value.
The value of sample proportion is:
Now compute the value of margin of error as follows:
The critical value of <em>z</em> for 95% confidence level is:
Compute the value of sample size as follows:
Thus, the sample size used to compute the 95% confidence interval is 1066.
Answer:
Volume: 112 m³.
Surface area: 172 m².
Step-by-step explanation:
The volume is the base times height times length. So, the volume will be 2 * 8 * 7 = 16 * 7 = 112 m³.
The surface area is 2lw + 2lh + 2wh. l = 8; w = 7; h = 2.
2(8)(7) + 2(8)(2) + 2(7)(2) = 2 * 56 + 2 * 16 + 2 * 14 = 112 + 32 + 28 = 112 + 60 = 172 m².
Hope this helps!
Answer:
Scalene triangle as there are no sides given.
or,
Measure it using a ruler and classify it based on the result.
Step-by-step explanation:
Scalene triangle = No sides are equal.
Isosceles triangle = 2 sides equal.
Equilateral triangle = All sides equal.
Right angled triangle = One angle is 90.
Since, the picture hasn't given any sides, i am gonna say it's a scalene triangle.
If, the triangle is for measure, measure it using a ruler and classify it based on the result.
Answer:
x=3
Step-by-step explanation:
4x+1 = 5x-2
Bringing all like terms together,
5x-4x = 2+1
x = 3
