Answer:
Step-by-step explanation:
3x3
Answer:
The answer is c
Step-by-step explanation:
The middle line is in the same spot
Answer: Only the second sequence is arithmetic.
Work:
An arithmetic sequence is a sequence in which there is a common value added or subtracted between each term in the sequence.
The first option, -2, 4, -6, 8,... is not arithmetic because the terms switch back and forth between positive and negative signs meaning that there is no common value that can be added between each term.
The second option, -8, -6, -4, -2,... is arithmetic because there is a common difference between each term which is +2.
The third option, 2, 4, 8, 16,... is not arithmetic but is, in fact, geometric. There is no common value that is added or subtracted between each term.
Answer:
Arithmetic.
Common Difference: -24
Step-by-step explanation:
An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
For arithmetic, to find the common difference we take any pair of successive numbers, and we subtract the first from the second.
For geometric, to find the common ratio can be found by dividing any term in the sequence by the previous term.
Answer:
2.5% of American women have shoe sizes that are greater than 11.47.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 8.47
Standard deviation = 1.5
The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.
What percentage of American women have shoe sizes that are greater than 11.47?
11.47 = 8.47 + 2*1.5
This means that 11.47 is two standard deviations above the mean.
Of those measures below the mean, none are greater than 11.47.
Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So
0.5*0.05 = 0.025
2.5% of American women have shoe sizes that are greater than 11.47.
