Answer:
16 cm
Step-by-step explanation:
We have to first find the radius of the circle.
The area of a sector is given as:
where α = central angle of the sector = 120°
r = radius of the circle
Therefore:
The diameter of a circle is twice its radius, therefore:
D = 2 * 8 = 16 cm
The diameter of the circle is 16 cm
Answer:
a.) 0.7063
b.) 23
Step-by-step explanation:
a.)
Let X be an event in which at least 2 students have same birthday
Y be an event in which no student have same birthday.
Now,
P(X) + P(Y) = 1
⇒P(X) = 1 - P(Y)
as we know that,
Probability of no one has birthday on same day = P(Y)
⇒P(Y) = 
where there are n people in a group
As given,
n = 30
⇒P(Y) = 
= 0.2937
∴ we get
P(X) = 1 - 0.2937 = 0.7063
So,
The probability that at least two of them have their birthdays on the same day = 0.7063
b.)
Given, P(X) > 0.5
As
P(X) + P(Y) = 1
⇒P(Y) ≤ 0.5
As
P(Y) =
We use hit and trial method
If n = 1 , then
P(Y) = 
= 1 
0.5
If n = 5 , then
P(Y) = 
= 0.97 0.5
If n = 10 , then
P(Y) = 
= 0.88 0.5
If n = 15 , then
P(Y) = 
= 0.75 0.5
If n = 20 , then
P(Y) = 
= 0.588 0.5
If n = 22 , then
P(Y) = 
= 0.52 0.5
If n = 23 , then
P(Y) = 
= 0.49 0.5
∴ we get
Number of students should be in class in order to have this probability above 0.5 = 23
Answer:
HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect each other, which means the diagonals bisect each other.
Step-by-step explanation:
We are given the following in the question.
HIJK is a parallelogram.
So it satisfies the property of parallelogram.
- The diagonals of a parallelogram bisect each other.
- That is the intersection of the diagonals of the parallelogram is unique and divide the diagonals in two equal parts each.
Thus,
HIJK is a parallelogram because the midpoint of both diagonals is unique and intersect, which means the diagonals bisect each other.
Hello! Although I can't give you the answers automatically. I'll just show you some steps on how to subtract & if you're still not figuring it out just message me! :)
Step 1: You have to make sure both denominators are both exactly the same or you won't get the answer correctly.
Step 2: Then subtract the numerators
Step 3: Simplify if needed.
Ex; If I have 1/2 of the pizza and my friend has 1/6 of the pizza. What will be my result if I subtract the fractions?
We'll have to take 1/2 and 1/6. You'll have to find what makes those numbers, what I mean is by multiplying both numerators and denominators.
You multiply by 3.
2 x 3 = 6
Then you'll change the denominator into 1/2 = 1/6
Result:
Then you just subtract.
3 - 1 = 2
Hint: Denominator never changes when you have your final result. So it's 2/6. It needs to be simplified.
We divide by 2.
I hope this example helped you understand how to subtract fractions & if you don't know how to add mixed fractions you can always do around the world or other examples your teacher can provide! :)
