Answer:
Subtract 11 from both sides
Step-by-step explanation:
18.< DHG
20. < JAB is also 75
Answer:
a) P(A')=0.7.
b) P(B')=0.75.
c) P(C')=0.4.
d) d) Therefore, we conclude that are A and B mutually exclusive events.
Step-by-step explanation:
From task we know that are:
P(A)=0.3
P(B)=0.25
P(C)=0.6
Therefore, we get calculate the next probabilities:
a) P(A')=1-P(A)
P(A')=1-0.3
P(A')=0.7.
b) P(B')=1-P(B)
P(B')=1-0.25
P(B')=0.75.
c) P(C')=1-P(C)
P(C')=1-0.6
P(C')=0.4.
d) Therefore, we conclude that are A and B mutually exclusive events.
Part 1: Circumference of circle = inches & Area of circle =
Part 2: Area of circle =
Part 3: Area of square not covered by circle = .
<u>Step-by-step explanation:</u>
<u>Part 1:</u>
We have radius of circle as . Let's find area & circumference of circle:
Circumference of circle =
⇒ Circumference of circle =
⇒ Circumference of circle = =
⇒ Circumference of circle = inches
Area of circle =
⇒ Area of circle=
⇒Area of circle = =
⇒ Area of circle =
<u>Part 2:</u>
Circumference of circle = =
⇒
⇒
Area of circle =
⇒Area of circle = =
⇒ Area of circle =
<u>Part 3:</u>
Perimeter of square = , a is side of square.
⇒
⇒
⇒ a =
Since radius of circle inscribed in square is half of side of square i.e.
Now, Area of square not covered by circle = Area of square - area of circle
⇒
⇒
⇒
∴ Area of square not covered by circle = .