The product of the matrices is an identity matrix. Therefore, X and A are inverse of each other.
The matrices are given as:
To check the matrices are inverse, we calculate their products.
Multiply the rows of A by the column of X.
This gives
The product of A and X is an identity matrix.
This means that; both matrix are inverse of each other
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Answer:
Step-by-step explanation:
Since the amplitude of the cosine function is 2, I would put the multiply it by 2. There is no phase shift
The period is 1/2, so it would be 4pi
Plug them in into y=Acos(Bx), y=2cos(4pix)
Answer: 1. D) 30
2. A) 8
3. B) 4/15
4. A) 2/9
5.D) 64%
Step-by-step explanation:
1. Since, here the tokens from a bag containing 10 blue tokens, 8 green tokens, and 12 red tokens. The first draw is a green token.
Thus, the total token = 10 blue tokens+ 8 green tokens+ 12 red tokens = 30 token
Therefore, If the first draw is a green token, Then total outcomes that will possible = 30.
2. Since, getting green is an event with 8 favorable outcomes.
Therefore, If the first draw is a green token, Then total favorable outcomes that will possible = 8.
3. The possibility of getting green in first drawn, P(G) =
P(G) =
4. Here, Number of red socks= 5
Number of white socks = 2 and Number of blue socks=3
Therefore total socks = 10
⇒ Probability of picking a pair of red socks,
P(R)=
⇒ P(R)= 2/9
5. Since, here coin is flipped 50 times and lands on heads 32 times.
Therefore, experimental probability that coin will land on heads on the next flip = (total times in which head appears/ total number of experiments) × 100 = (32/50)×100=64%