Answer:

Step-by-step explanation:
300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.
Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees
sin(60°) =
And since sine is negative, this value turns negative:
sin(300°) = 
5^5 mod 7 = 3
5^4 mod 7 = 2
5^3 mod 7 = 6
3 -2 +6 mod 7 = 0
Therefore, 5^5 -5^4 +5^3 mod 7 = 0 and that sum is divisible by 7.
Answer:
Step-by-step explanation:
<u>Given</u>
- ΔABC ⇒ A(- 1, 3), B(- 1, 1), C(3, 1)
- ΔA'B'C' ⇒ A'(2, - 2), B'(2, - 4), C'(6, - 4)
<u>Comparing the coordinates of the corresponding vertices, we see the difference:</u>
It means the ΔABC has been translated 3 units right and 5 units down
Correct answer choices are B and E
Answer:
Step-by-step explanation:
um
Answer: 0.1353
Step-by-step explanation:
Given : The mean of failures = 0.025 per hour.
Then for 8 hours , the mean of failures =
per eight hours.
Let X be the number of failures.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that the instrument does not fail in an 8-hour shift :-

Hence, the the probability that the instrument does not fail in an 8-hour shift = 0.1353