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3 years ago

How to find the circumference of a circle

Mathematics

1 answer:

Alborosie3 years ago

5 0

Answer:

Step-by-step explanation:

The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).

circle diameter radius

A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)

Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).

The circumference of a circle is found using this formula:

C=π⋅dorC=2π⋅r

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U and V are mutually exclusive events. P(U) = 0.27; P(V) = 0.56. Find:

Alisiya [41]

Answer:

(a) P (U and V) = 0.

(b) P (U|V) = 0.

Step-by-step explanation:

Mutually exclusive events are those events that cannot occur at the same time. That is, if events A and B are mutually exclusive then,

$P (A\cap B) = 0$

<u>Given</u>:

Events U and V are mutually exclusive.

P (U) = 0.27 and P (V) = 0.56

(a)

As events U and V are mutually exclusive, the probability of their intersection will be 0.

That is,

$P(U\ and\ V) = P (U\cap V) = 0$

Thus, the value of P (U and V) is 0.

(b)

The conditional probability of event B given A is:

$P(B|A) =\frac{P(A\cap B)}{P(B)}$

Compute the value of P (U|V) as follows:

$P(U|V) =\frac{P(U\cap V)}{P(V)}\\=\frac{0}{0.56}\\ =0$

Thus, the value of P (U|V) is 0.

(c)

The probability of the union of two events, say A and B, is

$P(A\ or\ B)=P(A\cup B)=P(A)+P(B)-P(A\cap B)$

Compute the value of P (U or V) as follows:

$P(U\ or\ V)=P(U\cup V)\\=P(U)+P(V)-P(U\cap V)\\=0.27+0.56-0\\=0.83$

Thus, the value of P (U or V) is 0.83.

7 0

4 years ago

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Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).

Rom4ik [11]

Answer:

Range of $\phi^{-1}$ is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by $\phi^{-1}$

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by $\phi^{-1}$

Hence, Range of $\phi^{-1}$ is (−5,11)

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3 years ago

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Write a proportion that could be used to solve for each variable. Then solve.

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3 years ago

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