Step-by-step explanation:
The formula for arc length [for the angle in degrees] is:

here,
= degrees
= radius
using this we'll solve all the parts:
r = 10, n = 20:


from here, it is just simplification:
2 and 360 can be resolved: 360 divided by 2 = 180

10 and 180 can be resolved: 180 divided by 10 = 18

finally, both 20 and 18 are multiples of 2 and can be resolved:

Option (E)
r=3, n=6:


Option (D)
r=4 n=7


Option (C)
r=2 n=x


Option (D)
r=y n=x


Option (E)
Answer:
The probability that a student is an undergraduate student, given that the student received a plus grade is 0.92
Step-by-step explanation:
The conditional probability of an event <em>B</em> given that another event <em>A</em> has already occurred is:

Denote the events as follows:
<em>X</em> = a students is a graduate
<em>Y </em>= a students is a under-graduate
+ = a student received one or more plus grades
- = a student received one or more minus grades
Consider the tree diagram below.
According to the tree diagram, the probability that a student is an undergraduate student, given that the student received a plus grade is:
P (+ | Y) = 0.92
Thus, the probability that a student is an undergraduate student, given that the student received a plus grade is 0.92.
Answer:
Domain = [0, 50]
Range = [0, 3250]
Step-by-step explanation:
A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.
The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).
In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.
Since the hall can hold a total of 50 people, the domain of the function = [0, 50]
C(0) = 65(0) = 0, C(50) = 65(50) = 3250
Hence, the range of the function = [0, 3250]
Answer:
48 yards
Step-by-step explanation:
we know that
The circumference of a circle is equal to

we have

substitute

Answer:
Four 10s and seven 5s
Step-by-step explanation:
If you start with one 10, you have to have four 5s. After that you add one of each until you reach 75