It's C x5 the correct answer I'm not sure
They must be complementary. these 2 angles MUST equal 90 degrees because there is a right angle that is 90 degrees in the triangle already and all triangles have an angle sum of 180 degrees. the answer is complementary
Answer:
<u>The answer is -4 3/5</u>
Step-by-step explanation:
Let's reduce to its simplest form:
-3/5 + (-8/2) =
Step 1: Lowest Common Denominator (10):
- 6/10 + (-40/10) =
Step 2: Solve the parentheses:
- 6/10 - 40/10 =
Step 3: Subtract the fractions:
-46/10
Step 4: Simplify (Dividing by 2):
-23/5
Step 5: Converting the fraction to mixed number:
-4 3/5
<u>The answer is -4 3/5</u>
Answer:
The probability is 0.971032
Step-by-step explanation:
The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.
The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:
(eq. 1)
So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:
P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)
We can also calculated that as:
P(x ≥ 5) = 1 - P(x ≤ 4)
Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)
Then, if we calculate every probability using eq. 1, we get:
P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765
P(x ≤ 4) = 0.028968
Finally, P(x ≥ 5) is:
P(x ≥ 5) = 1 - 0.028968
P(x ≥ 5) = 0.971032
Answer:
B
Step-by-step explanation:
A 90 degree rotation would be a rotation of 90° about the origin. Knowing this, we can eliminate C since it is a 180° rotation. We can also eliminate A, as it would be a 0° or 360° rotation. This leaves us with B and C.
A counterclockwise rotation would be one that goes the opposite direction of the rotation of the hands of a clock. A 90° counterclockwise rotation would yield triangle B, making that our answer.
I hope you find my answer and explanation to be helpful. Happy studying.