Given an arithmetic sequence where a1=5 and a9=-19 find a42
2 answers:
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Answer:
The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Theoretical probability:
The theoretical probability is calculated without considering previous trials.
Experimental probability:
Calculated considering previous trials.
For a small number of trials, these probabilities can differ, but the experimental probability approximates the theoretical as the number of trials increase.
Seven different names are written into sticks and placed into a cup.
So the theoretical probability of choosing Grace is:
A stick is chosen 100 times,out of which the name Grace is chosen 23 times.
So the experimental probability is:
How do the theoretical probability and experimental probability compare?
The experimental and theoretical probabilities are considerably different. This has to do with the small number of trials. For a higher number of trials, the experimental probability should be very close to the theoretical probability of 0.1429.
Answer:
The maximum possible length, in centimeters, of the longest piece of rope is 134 cm
Step-by-step explanation:
Let the seven pieces be a,b,c,d,e,f,g
Average of 7 pieces of ropes =68
--A
We are given that the median length of a piece of rope is 84 centimeters.
We arrange the pieces in the ascending order
So, median will be the length of 4th piece
So, d = 84 cm
the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84
Let us suppose the length of a,b,c be x
Let us suppose the length of e,f be 84
The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope
So, g = 4x+14
Substitute the value in A
g = 4x+14=4(30)+14=134
Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm
Answer:
C. -20
Step-by-step explanation:
Step 1: + (-n) Write down equation
Step 2: + (-12) insert values into equation
Step 3: - 12 Simplifying fraction and parentheses
Step 4: -8 - 12 Simplifying fraction 24/-3 = -8
Answer: -20