For number 30, its easier if its broken down so were going to make it √200*x^2*y^2*z^2. We can't get a square root of 200 so we will break it into 100*2 to get √2*100*x^2*y^2*z^2. Now let's look at what we can take the square roots of. 2 doesn't have a nice sq. rt. so we will leave it there. 100 has the rt. of 10 so we can make 10√2*x^2*y^2*z^2. X^2 has the root x and we can follow this with the other variables to get 10xyz√2. There is your final simplified answer.
This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture. Thus, option (D) is correct.
Event - 1: Choosing a letter from the alphabet that is Q.
Let us assume the probability of happening of event 1 is P(Q).
Event - 2: Choosing a digit from 0-9 that is 7.
Let us assume the probability of happening of event 1 is P(7).
Now, we need to choosing the secret code that is 7Q.
We need to multiply both events to get the desired result.
Thus,
This is the only option that correctly represents the probability of choosing the secret code “7Q” according to the picture.
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Answer:
Option 4: P(7∩Q) = P(7) × P(Q)
Step-by-step explanation:
P(7∩Q) represents the probability of choosing the secret code "7Q".
If A and B are independent events, then,
P(A∩B) = P(A) × P(B)
Let A be the event of choosing a number from 0-9 and
B be the event of choosing an alphabet.
Clearly, A and B are independent.
Therefore,
P(7∩Q) = P(7) × P(Q)
N CH-7=5X
Answer:
x = 11 and
Step-by-step explanation:
If LMNO is a parallelogram then it's opposite sides will be equal.
So, LM = ON
⇒ 4x + 4 = 5x - 7
⇒ x = 11
Now, MN = OL
⇒ x - 7 = 3y - 4
⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}
⇒ (Answer)