This is a good answer right here ^
Answer:69 2/9 - 31 1/9 - (- 12 4/9) =
69 2/9 - 31 1/9 + 12 4/9 =
81 6/9 - 31 1/9 =
50 5/9 or 455/9 or 50.56 <==
Step-by-step explanation:
<h3>
Answer: Choice B</h3>
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Explanation:
The requirements for a probability distribution are this
- The individual probabilities must be between 0 and 1, inclusive of both endpoints. We can say
where p is an individual probability. - The probabilities must sum to 1.
Condition #1 shown above allows us to rule out choice C due to -0.10 not being in the interval from 0 to 1.
We can also rule out choice D since the probabilities sum to this
0.20+0.15+0.20+0.20+0.20+0.20 = 1.15
The sum is too large. The sum needs to be 1.00 or just 1.
So that leaves choice A or choice B as the possible answer. Both distributions fit conditions #1 and #2 as shown above (I'll let you confirm these facts). However, choice A is ruled out because that distribution is considered fair. Each probability for choice A is equal, so each side of the cube is equally likely to be landed on.
For choice B, the probabilities are different, so we don't have a fair cube here and it is considered loaded or biased.
Answer:
theta = all real values
Step-by-step explanation:
sec theta + tan theta = cos theta / (1-sin theta )
sec theta = 1/cos theta
tan theta = sin theta/cos theta
1/cos theta + sin theta /cos theta= cos theta/ (1-sin theta)
(1+ sin theta) / cos theta = cos theta /( 1-sin theta)
using cross products
(1+sin theta) * (1-sin theta) = cos theta * cos theta
1 +sin theta - sin theta- sin^2 theta= cos ^2 theta
1 - sin ^2 theta= cos ^2 theta
cos ^2 theta= cos ^2 theta
this is an identity so it is true for all theta
F(x) = 25 - 2x
f(5) is pretty much the value of f(x) when x = 5
Plug x=5 into f(x)
f(5) = 25 - 2(5)
= 15
That's your answer.
Have an awesome day! :)