80.
The opposite side of the arc is equal to its opposite.
Answer:
The probability that the sample mean will lie within 2 values of μ is 0.9544.
Step-by-step explanation:
Here
- the sample size is given as 100
- the standard deviation is 10
The probability that the sample mean lies with 2 of the value of μ is given as

Here converting the values in z form gives

Substituting values

From z table

So the probability that the sample mean will lie within 2 values of μ is 0.9544.
Answer:
a) The profit will be: 
b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.
Step-by-step explanation:
Cost of Bicycles= 
Revenue generated = 
Find a polynomial that represent profits
The formula used for finding profit is:

So, the profit will be: 
If the company can produce bicycles y= 300
The profit will be:

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.
Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.