Answer: A. 279936 sequences.
B. 2187 sequence.
C. 7776 sequence.
D. 46656 sequence
E. 64 sequence.
Step-by-step explanation:
Given data:
A 6 sided fair die
No of time rolled = 7
Resulting sequence recorded = 7.
Solution.
A.) No of different possible sequence
= 6^7
= 279936 sequences.
B.) Sequence consisting of only even number
= there are 3 even numbers between 1 and 7 ( 2,4,6).
= 3^7
= 2187 sequence.
C.) possible sequences are when the first, third, and fourth numbers must be the same.
= 6* 6 ^n
where n = 4
= 6*6^4
= 7776 sequence.
D.) sequence when every number is different.
There are 6 sides of a die, so when every number is different it is.
= 6^6
= 46656 sequence
E.) sequence when atleast there are two numbers that are the same.
= 2^6
= 64 sequence.
Answer:
35
Step-by-step explanation:
i dont know how to explain how i got the anwser
Jack has a cake and another half of a cake, Jill has 2 and 2/3rds cakes, Blake has 3 and 2/3rds of a cake, Peter has 4 and 2/3rds of a cake, and Daniel has 2 and a half cakes. How many cakes do they have in total?
1+1/2+2+2/3+3+2/3+4+2/3+2+1/2 = 6/6 (finding the least common multiple of 1, 2, and 3)+3/6+12/6+4/6+18/6+4/6+12/6+3/6= 90/6=15 cakes
Your answer would be <em><u>2*10^2 + 1*10^1 + 5*1^1</u></em>
Answer:
b=4
Step-by-step explanation:
Lets a be lenght and b width. From text we have:
a=b+4
a*b=32
Put the first equation in the 2n, we get:
(b+4)b=32
b^2+4b-32=0
b^2+8b-4b-32=0
b(b+8)-4(b+8)=0
(b+8)(b-4)=0
So it must be b=-8 or b=4. We know that width cannot be negative, so it is 4.
