Answer:
Step-by-step explanation:
The circumference of a circle with radius 
is given by 
. The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle 
is equal to 
.
Formulas at a glance:
- Circumference of a circle with radius :
- Length of an arc with central angle :
<u>Question 1:</u>
The radius of the circle is 12 m. Therefore, the circumference is:
The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:
<u>Question 2:</u>
In the circle shown, the radius is marked as 2 miles. Substituting 
into our circumference formula, we get:
The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:
Answer:
Option C) 146.5
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 130 weeks
Standard Deviation, σ = 10 weeks
We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.
Formula:
P(X<x) = 0.95
We have to find the value of x such that the probability is 0.95
P(X < x)
Calculation the value from standard normal z table, we have,
The project should be completed in 146.5 weeks or less.
Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.
