Answers:
mode = 1
range = 5
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Explanation:
The mode is 1 because it is the most frequent value. It shows up four times compared to the other values (5,6) which only show up once and the value 4 only shows up twice.
The range is 5 because we subtract the max and min values to get 5.
In other words,
Range = Max - Min
Range = 6 - 1
Range = 5
If you notice the terms, they're
7, -21, 63, -189 and so forth.
7*-3 = -21 and -21 * -3 is 63 and so forth, meaning the "common ratio" is -3.
now, for a common ratio say "r", which is a fraction, namely less than ±1 and more than 0, or |r| < 1 , you do have a convergent sequence.
however this one notice, |-3| is 3, and that's greater than 1 clearly, therefore is divergent, meaning the summation has no finite value.
Answer:
.75
Step-by-step explanation:
75%
because it will give 100
Answer:
2x
Step-by-step explanation:
12 + 2x - 12
2x + 12 - 12
12 - 12 = 0
Answer:
Step-by-step explanation:
The probability that you make one shot is 70%, or 0.7.
The probability that you make 10 shots is the probability that you make 10 shots in a row. This means that you have to make the first shot AND the second shot AND the third shot and so on. The probability of two independent events both happening is P(A) * P(B), and we can apply that here. Each shot has a 0.7 chance of success, so we multiply that 10 times to get (0.7)¹⁰=0.0282475249
The probability that you make 9 shots can be represented by the following combinations, with M representing a miss and S representing a make.
MSSSSSSSSS
SMSSSSSSSS
SSMSSSSSSS
and so on. There are 10 possible combinations as there are 10 possible places where you can miss but still make 9. The probability of one of these combinations happening is
(0.3) for the miss multiplied by the probability of all the rest making it, or (0.7)⁹ = 0.3 * 0.7⁹ = 0.0121060821
Then, we multiply by 10 because there are 10 possible combinations, resulting in 0.121060821. Add this to the probability of making all 10 to get
0.0282475249 + 0.121060821 = 0.1493083459
