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Find the equation of the line passing through the point A(1, 0, -1) and parallel to the
line joining B(1, 2, 3) and C( -1, 2, 0). Is it perpendicular to the line
(1 + 3α , 0 ,1 - 2α ).
line joining B(1, 2, 3) and C( -1, 2, 0). Is it perpendicular to the line
(1 + 3α , 0 ,1 - 2α ).
Let V=R2 . Define addition + on V by ( x1 , y1 ) + ( x2 , y2 ) = ( x1+x2 , y1+y2 ) and scalar multiplication . by r . (a , b) = (ra , 0). Check whether V satisfies all the
conditions for it to be a vector space over R with respect to these operations.
conditions for it to be a vector space over R with respect to these operations.
Let V be a vector space over a field F and let T : V → V be a linear operator. Show
T ( W ) ⊂ W for any subspace W of V if and only if there is a λ ∈ F such that T v = λ v
for all v ∈ V .
T ( W ) ⊂ W for any subspace W of V if and only if there is a λ ∈ F such that T v = λ v
for all v ∈ V .
Differentiate with respect to x: \[f(x) = (ax{^3} + bx)\]
find the nth derivative of a^mx
Evan wants to save $1200 to purchase a computer. He receives a gift of $600. He thinks he will buy a GIC rather than put the money in his bank account. His bank offers GICs at a simple interset rate of 1.5%
At this interest rate, how much will Evan earn in 1 year
At this interest rate, how much will Evan earn in 1 year
1. For a sequence 128, 64, 32, ……………………….. what is the value 12th term of this sequence?
2.The 3rd and 7th term of a G.P. are 81 and16 respectively, find the 1st and 5th term
3.A student is to answer all the nine questions in an examination. It is believed that the sequence in which the questions are answered may have a considerable effect on the performance of the student. In how many different order can the question be answered
4.A bus starts with 6 people and stops at 10 different stops. how many different ways can the 6 people depart if any passenger can depart at any bus stop
5. how many 3 digits numbers greater than 300 can be formed using the digits 1, 2, 3, 4, 5 if no digit can be repeated and the first digit cannot be 3?
6.In how many way can 6 people take place at a round table?
2.The 3rd and 7th term of a G.P. are 81 and16 respectively, find the 1st and 5th term
3.A student is to answer all the nine questions in an examination. It is believed that the sequence in which the questions are answered may have a considerable effect on the performance of the student. In how many different order can the question be answered
4.A bus starts with 6 people and stops at 10 different stops. how many different ways can the 6 people depart if any passenger can depart at any bus stop
5. how many 3 digits numbers greater than 300 can be formed using the digits 1, 2, 3, 4, 5 if no digit can be repeated and the first digit cannot be 3?
6.In how many way can 6 people take place at a round table?
7. out of 2000 families with 4 children, how many would you expect to have 1 or 2 girls, given that the probability of a male birth is 0.5____
8. A set X has a elements, a second set Y has b elements and a third set Z has c element, the number element from the Cartesian product of the three set ________
9. A special case of the gamma distribution in which λ =1/2and n replaced by n/2, where n is a positive integer is called the ________ distribution
standard
What is the variance of a binomial distribution with n trials and u probability of success?
A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if no two passenger can depart at the same bus stop ____
8. A set X has a elements, a second set Y has b elements and a third set Z has c element, the number element from the Cartesian product of the three set ________
9. A special case of the gamma distribution in which λ =1/2and n replaced by n/2, where n is a positive integer is called the ________ distribution
standard
What is the variance of a binomial distribution with n trials and u probability of success?
A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if no two passenger can depart at the same bus stop ____
4. A student is to answer all the eight questions in an examination. It is believed that the sequence in which the questions are answered may have a considerable effect on the performance of the student. In how many different order can the question be answered?
5. A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if any passenger can depart at any bus stop ____
What is the variance of a binomial distribution with n trials and u probability of success?
A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if no two passenger can depart at the same bus stop ___
6. et X has the discrete uniform distribution
f
(
x
)
=
1
k
f(x)=1k
for x=0,1,2…. , find the expression for its mean u
5. A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if any passenger can depart at any bus stop ____
What is the variance of a binomial distribution with n trials and u probability of success?
A bus starts with 6 people and stops at 10 different stops, how many different ways can the 6 people depart if no two passenger can depart at the same bus stop ___
6. et X has the discrete uniform distribution
f
(
x
)
=
1
k
f(x)=1k
for x=0,1,2…. , find the expression for its mean u
9. Set X has 8 elements and set Y has 10 elements, if there are 5 common elements in X and Y, what is the cardinality of X union Y?.
10. A ____________________ random variable is memoryless
1. Find the probability that seven of 10 persons will recover from a tropical disease if we can assume independence and the probability is 0.80 that any one of them will recover from the disease.
2. How many runs of W do your have in the following sequences WWWLWWLLWLWWLLWWW
3. A student is to answer all the eight questions in an examination. It is believed that the sequence in which the questions are answered may have a considerable effect on the performance of the student. In how many different order can the question be answered?
10. A ____________________ random variable is memoryless
1. Find the probability that seven of 10 persons will recover from a tropical disease if we can assume independence and the probability is 0.80 that any one of them will recover from the disease.
2. How many runs of W do your have in the following sequences WWWLWWLLWLWWLLWWW
3. A student is to answer all the eight questions in an examination. It is believed that the sequence in which the questions are answered may have a considerable effect on the performance of the student. In how many different order can the question be answered?
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#333702 on Dec 2022
#333702 on Dec 2022