A researcher found a study relating the distance a driver can see, y, to the age of the driver, x. When researchers looked at th
1 answer:
Answer: a.) About 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
b.) The correlation coefficient, r, is -0.736.
Step-by-step explanation:
The coefficient of determination is denoted which gives the percent of the variance in the dependent variable that is predictable from the independent variable.
Given,
That means 54% of the variation in distance that the driver can see is explained by a linear relationship with the driver's age.
Also, , where r determines the correlation coefficient.
As driver;s age increases the distance he can see decreases, so there is a negative correlation between them.
So r= -736.
Hence, The correlation coefficient, r, is -0.736.
So, the correct options are a.) and b.)
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Answer with explanation:
A basis of a subspace in R³ is the set of vectors that spans the subspace means the set of vectors, and is linearly independent.
The meaning of span is if any set of vectors can be written as linear combination of other vector.
For example , {a, b,c}, {p,q,r} and {x,y,z} are three set of vectors.
If ,{a,b,c} can be wriiten as {pm +x n, q m+y n, r m+z n}, then we say that {a,b,c} spans the set of vectors.
1.
S={(81, 63, 12), (27, 21, 4), (9, 7, 1)}
Writing the set of vectors in matrix form
→Basis of S=1
As all the three vectors are linearly dependent.So, Basis=1.
2.
{(0, 0, 1), (9, 0, 0), (0, 7, 0)}
If you write these three vectors in matrix form , all the three vectors are Linearly Independent.Any of the one vectors can't be written as a linear combination of other
So, Basis =3
3.
{(1, 0, 0), (0, 0, 1), (0, 7, 0)}
All the three vectors are Linearly Independent.
So, Basis=3
4. {(0, 0, 1), (9,7, 0)}
These two vectors can't be written as a linear combination of other.So these two vectors are Independent.So,
Basis=2
5. {9,0,0), (0,7, 0)}
These two vectors can't be written as linear combination of each other.So these two vectors are Independent.So,
Basis=2
The expected number of cards from the card deck that will be strictly between the two jokers is .
The most popular deck of cards used today is a normal 52-card deck of French-suited playing cards. [a] It is the only standard pack[b] used for playing cards in English-speaking nations; but, in many other nations throughout the world, it is used alongside other traditional, frequently older, standard packs with various suit systems, like those with German-, Italian-, Spanish-, or Swiss suits. The English pattern pack is the only one widely accessible in Britain and America and the most popular pattern of French-suited cards globally. The Belgian-Genoese pattern, which was created in France but is also used widely in Spain, Italy, the Ottoman Empire, the Balkans, and much of North Africa and the Middle East, is the second most popular.
Let all pairs of the positions (m,n) of the jokers are equally likely
the expected value will be
Therefore, the expected number of cards that will be strictly between the two jokers is .
To learn more about card deck from the given link:
#SPJ4
To make m the subject, we must isolate it from everything else. To start, we can subtract x from both sides. This gives us:
-2m = p - x
After this, we divide both sides by -2 to finish isolating m. This would give us:
m =
Hope this helps! :)
-2m = p - x
After this, we divide both sides by -2 to finish isolating m. This would give us:
m =
Hope this helps! :)