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Tju [1.3M]
3 years ago
14

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

<h3>               d = 6</h3>

Step-by-step explanation:

a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6

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If k represents a number then write an expression for the ratio of 3 less than k to 2 more than k
EleoNora [17]

The key words you should notice when looking at this word problem are “less than.” This means that the order is flipped, so “3 less than k” means “k minus 3.”

The expression for the ratio is k-3:k+3

Hope this helps

3 0
3 years ago
Hey (; I'm taking this rigorous AP Stat course and I've mastered Binomial Sampling but this Geometric Sampling just has me stump
chubhunter [2.5K]

Answer:

1) It is geometric

a) In each trial you can obtain 11 or obtain something else (and fail)

b) Throw 2 dices and watch if the result is 11 or not

c) The probability of success is 1/18

2) It is not geometric, but binomal.

Step-by-step explanation:

1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.

A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.

In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.

2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.

4 0
3 years ago
Round your answer to the nearest hundredth.<br> C<br> 5<br> B.<br> 7<br> ?<br> A
astraxan [27]

Answer:

If C is 5 and B is 7 the a is 9

7 0
3 years ago
(+2) – (-6) what's the answer to this please write it out​
harkovskaia [24]

Answer:

8

Step-by-step explanation:

+2-(-6)=2+6

the two negatives cancel each other out

2+6=8

3 0
3 years ago
Read 2 more answers
80Divided by 3 plz help
mojhsa [17]

Answer:

Your answer is 26.667

hope this helps

8 0
3 years ago
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