Answer:
Step-by-step explanation:
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:
A = 22 degrees
Step-by-step explanation:
ABC is a right angle triangle, and angle ACB=68 degrees
hence, the angle BAC or angle A = 90-68 = 22 degrees
Answer:
The arithmetic mean is 10.9
Step-by-step explanation:
In this question, we are tasked with calculating the arithmetic mean using the information given.
The arithmetic mean or otherwise called the average is the sum of all the values in a given set divided by the number of elements or count of the elements in that particular data set
Mathematically, the arithmetic mean can be found by dividing the sum of the data values by the number of data values.
In equation form, we have 
Inserting the values, we have Arithmetic mean = 10998/1007 = 10.92 which is 10.9 to the nearest tenth