Answer:
1. 1/6x + 5/6
2. 1/3x + 2/3
Step-by-step explanation:
Answer:
x = 25% percent decrease
Step-by-step explanation:
For this problem we will use percentage calculation and make proportion:
Initial value 56 points is worth 100%
Second value 56 - 42 = 14 points of decrease is worth x%
56 : 14 = 100 : x
When we multiply external and internal members we get:
56 · x = 14 · 100 => x = 1400/56 = 25%
x = 25% percent decrease
God with you!!!
Explanation:
Marginal distribution: This distribution gives the probability for each possible value of the Random variable ignoring other random variables. Basically, the values of other variables is not considered in the marginal distribution, they can be any value possible. For example, if you have two variables X and Y, the probability of X being equal to a value, lets say, 4, contemplates every possible scenario where X is equal to 4, independently of the value Y has taken. If you want the probability of a dice being a multiple of 3, you are interested that the dice is either 3 or 6, but you dont care if the dice is even or odd.
Conditional distribution: This distribution contrasts from the previous one in the sense that we are restricting the universe of events to specific condition for other variable, making a modification of our marginal results. If we know that throwing a dice will give us a result higher than 2, then to in order to calculate the probability of the dice being a multiple of 3 using that condition, we have two favourable cases (3 and 6) from 4 total possible results (3,4,5 and 6) discarding the impossible values (1 and 2) from this universe since they dont match the condition given (note that the restrictions given can also reduce the total of favourable cases).
The joint distribution calculates the probabilities for two different events (related to two different random variables) occuring simultaneously. If we want to calculate the joint probability of a dice being multiple of 3 and greater than 2 at the same time, our possible cases in this case are 3 and 6 from 6 possible results. We are not discarding 1 or 2 as possible results because we are not assuming, that the dice is greater than 2, that is another condition that we should met in the combination of events.
Answer:
A
Step-by-step explanation:
sin57° = 
= 
= 
∠ P = 180° - (90 + 57)° ← sum of angles in triangle
∠ P = 180° - 147° = 33° , then
cos33° = 
= =
Thus the 2 ratios used to solve for x are A
The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
<h3>Permutation and Combination</h3>
While combination has to do with selection, permutation has to do with arrangement.
According to the combination rule
nCr = n!/(n-r)!r!
The expression that gives the result of 20 is expressed below;
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
6C3 = 6!/6*6
6C3 = 720/36
6C3 =20
Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
Learn more on combination here: brainly.com/question/4658834
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