Answer:
√21
Step-by-step explanation:
<u><em>Irrational number:-</em></u>
An irrational number is a type of real number which cannot be represented as a simple fraction . it cannot be expressed in the form of a ratio.
Example:-
√2,√3, ,......
Given option
√21 is a irrational number
Answer:
a. P(AnB)
b. P(B|A)
c. ![P(A^I|B)](https://tex.z-dn.net/?f=P%28A%5EI%7CB%29)
d. P(A or B)
e. ![P(B^I or A)](https://tex.z-dn.net/?f=P%28B%5EI%20or%20A%29)
Step-by-step explanation:
Since A= driver is under 25 years old (1)
B = driver has received a speeding ticket (2)
a.The probability the driver is under 25 years old and has recieved a speeding ticket.
this simple means the intersection of both set, which can be written as
P(AnB)
b. The probability a driver who is under 25 years old has received a speeding ticket.
This is a conditional probability, probability that B will occur given that A as occur.
P(B|A)
c. the probability a driver who has received a speeding ticket is 25 years or older.
![P(A^I|B)](https://tex.z-dn.net/?f=P%28A%5EI%7CB%29)
d. The probability the driver is under 25 years old or has received a speeding ticket.
P(A or B)
e. The probability the driver is under 25 years old or has not received a speeding ticket.
![P(B^I or A)](https://tex.z-dn.net/?f=P%28B%5EI%20or%20A%29)
Step-by-step explanation:
The answer is even function.
Answer:
( x-2)^2 + ( y+1) ^2 = 25
Step-by-step explanation:
The equation of a circle is
( x-h)^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
The center is ( 2,-1) and the radius is the difference from the center to a point on the circle
(2,4) and (2,-1)
since x is the same the radius is (4- -1) = 5
( x-2)^2 + ( y--1) ^2 = 5^2
( x-2)^2 + ( y+1) ^2 = 25
Answer: The required length of the golden thread needed is 30 cm.
Step-by-step explanation: Given that a triangular colorful scenery is made in a wall with sides 50 cm, 50 cm and 80 cm. A golden thread is to hang from the vertex so as to just reach the side 80 cm.
We are to find the length of the golden thread required.
As shown in the attached figure below, ABC is the triangular scenery with sides
AB = AC = 50 cm and BC = 80 cm.
AD is drawn perpendicular to BC, so that AD is the length of the golden thread required to reach side BC with length 80 cm from the vertex A.
Now, since AD ⊥ BC and ΔABC is isosceles (AB = AC), so we must have
D is the midpoint of BC.
That is,
![BD=DC=\dfrac{1}{2}BC=\dfrac{1}{2}\times0=40.](https://tex.z-dn.net/?f=BD%3DDC%3D%5Cdfrac%7B1%7D%7B2%7DBC%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes0%3D40.)
Now, from the right-angled triangle ABD, we have
![AB^2=BD^2+AD^2\\\\\Rightarrow AD^2=AB^2-BD^2\\\\\Rightarrow AD^2=50^2-40^2\\\\\Rightarrow AD^2=2500-1600\\\\\Rightarrow AD^2=900\\\\\Rightarrow AD=30.](https://tex.z-dn.net/?f=AB%5E2%3DBD%5E2%2BAD%5E2%5C%5C%5C%5C%5CRightarrow%20AD%5E2%3DAB%5E2-BD%5E2%5C%5C%5C%5C%5CRightarrow%20AD%5E2%3D50%5E2-40%5E2%5C%5C%5C%5C%5CRightarrow%20AD%5E2%3D2500-1600%5C%5C%5C%5C%5CRightarrow%20AD%5E2%3D900%5C%5C%5C%5C%5CRightarrow%20AD%3D30.)
Thus, the required length of the golden thread needed is 30 cm.