The answers are the following:
<span><span><span>P(A)=0.75</span><span>
</span></span><span><span>P(B|A)=0.9
</span></span><span><span>P(B|<span>A′</span>)=0.8
</span></span><span><span>P(C|A∩B)=0.8
</span></span><span><span>P(C|A∩<span>B′</span>)=0.6
</span></span><span><span>P(C|<span>A′</span>∩B)=0.7
</span></span><span><span>P(C|<span>A′</span>∩<span>B′</span>)=0.3</span></span></span>
Answer:
After 15 years both the colleges will have same number of students.
Step-by-step explanation:
The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.
So, after x years the number of students of this college will be (1100 + 45x).
Again, Marigold college currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year.
So, after x years the number of students of this college will be (2000 - 15x).
If those two colleges have the same number of students after x years, then we can write
1100 + 45x = 2000 - 15x
⇒ 60x = 900
⇒ x = 15 years.
Therefore, after 15 years both the colleges will have the same number of students. (Answer)
I think about 52 bags
2 kilometers = 2,000 grams
2, 000/ 38 = 52. repeated decimal(which would be the amount leftover)
I believe the answer would be 52 bags.
Answer:
q = 108-n
Step-by-step explanation:
Given: 108 coins containing only quarters and nickels
q = 108-n
since total number of coins is 108, and n= number of nickels
If you want to know how many of each kind of coin, read on:
First solve the number of quarters and nickels.
If all 108 coins are quarters, the value is 108*0.25 = $27
Since this value exceed the actual by 27-21 = $6,
we replace a number of quarters by nickels.
Each replacement will reduce the value by 25 - 5 = 20 cents = 0.2 dollars.
So it will take 6/0.2 = 30 replacements.
Therefore there are 108-35 = 78 quarters and 30 nickels.
Answer with Step-by-step explanation:
We are given that
A and B are matrix.
A.We know that for two square matrix A and B
Then, 
Therefore, it is true.
B. det A is the product of diagonal entries in A.
It is not true for all matrix.It is true for upper triangular matrix.
Hence, it is false.
C.
When is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.
Hence, it is false.
D.An elementary row operation on A does not change the determinant.
It is true because when an elementary operation applied then the value of matrix A does not change.
