Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14
Given the circle has a radius of 64, to get the value of the radius,r we shall proceed as follows.
Area=πr^2
Thus;
64=πr^2
64/π=r^2
r^2=20.3718
r=sqrt(20.3718)
r=4.5135
Therefore the length of radius,r=4.5135 units
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Answer:
15-4x
Step-by-step explanation:
15 fewer is hinting at subtraction and then it states what we are subtracting 15 from which is the product of 4 and some number (4x).
Answer:
See attached graph
Step-by-step explanation:
Because both expressions are equal to y, they'll intersect each other at a certain point, which is the solution to the system of equations. In this case, as shown by the graph, the point of intersection is (1,3) which means x=1 and y=3.
