Correlation between x & y is 0.6125.
In probability theory and statistics, the cumulative distribution function of a real-valued random variable X, or simply the distribution function of X weighted by x, is the probability that X takes a value less than or equal to x.
The cumulative distribution function (CDF) of a random variable X is defined as FX(x)=P(X≤x) for all x∈R. Note that the subscript X indicates that this is the CDF of the random variable X. Also note that the CDF is defined for all x∈R. Let's look at an example.
Learn more about cumulative distribution here: brainly.com/question/24756209
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Answer:
adult cost £7, child cost £2
Step-by-step explanation:
let a represent an adult and c a child , then
2a + 3c = 20 → (1)
a + 4c = 15 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate a
- 2a - 8c = - 30 → (3)
Add (1) and (3) term by term to eliminate a, that is
- 5c = - 10 ( divide both sides by - 5 )
c = 2
Substitute c = 2 into either of the 2 equations and evaluate for a
Substituting into (2)
a + 4(2) = 15
a + 8 = 15 ( subtract 8 from both sides )
a = 7
The cost of an adult ticket is £7 and a child ticket is £2
Answer:
![=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
Step-by-step explanation:
Factor out comon Term -1
![=-\left(x^5-7x^4-8x^2+9x+5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x%5E5-7x%5E4-8x%5E2%2B9x%2B5%5Cright%29)
Factor ![x^5-7x^4-8x^2+9x+5:\quad \left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=x%5E5-7x%5E4-8x%5E2%2B9x%2B5%3A%5Cquad%20%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
![x^5-7x^4-8x^2+9x+5](https://tex.z-dn.net/?f=x%5E5-7x%5E4-8x%5E2%2B9x%2B5)
Use the rational root theorem
![a_0=5,\:\quad a_n=1](https://tex.z-dn.net/?f=a_0%3D5%2C%5C%3A%5Cquad%20a_n%3D1)
The dividers of
: 1, 5, The dividers of
: 1
Therefore, check the following rational numbers: ±![\frac{1,\:5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2C%5C%3A5%7D%7B1%7D)
is a root of the expression, so factor out ![x-1](https://tex.z-dn.net/?f=x-1)
![=\left(x-1\right)\frac{x^5-7x^4-8x^2+9x+5}{x-1}](https://tex.z-dn.net/?f=%3D%5Cleft%28x-1%5Cright%29%5Cfrac%7Bx%5E5-7x%5E4-8x%5E2%2B9x%2B5%7D%7Bx-1%7D)
![\frac{x^5-7x^4-8x^2+9x+5}{x-1}=x^4-6x^3-6x^2-14x-5](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E5-7x%5E4-8x%5E2%2B9x%2B5%7D%7Bx-1%7D%3Dx%5E4-6x%5E3-6x%5E2-14x-5)
![=x^4-6x^3-6x^2-14x-5](https://tex.z-dn.net/?f=%3Dx%5E4-6x%5E3-6x%5E2-14x-5)
![=-\left(x-1\right)\left(x^4-6x^3-6x^2-14x-5\right)](https://tex.z-dn.net/?f=%3D-%5Cleft%28x-1%5Cright%29%5Cleft%28x%5E4-6x%5E3-6x%5E2-14x-5%5Cright%29)
Not sure the type of answer you are looking for. Yet 270 degrees is 3/4 of a full turn. (90 x 3)
Therefore you could state 3/4 of a turn. Also, 1/4 of a clockwise turn would work.
If you are trying to find the bigger angle, then the answer is A) Supplementary. But if you’re trying to find the small angle the answer is B) Complementary. C and D are both wrong.