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belka [17]
3 years ago
11

If the 10th of the 10 consecutive numbers is 10, what is their sum?

Mathematics
1 answer:
liq [111]3 years ago
7 0
Represent these consecutive numbers (assuming that they are all integers):

x
x+1
x+2
x+3
x+4
x+5
and so on
x+8
x+9 is the tenth number.  x+9 = 10, so x = 9.

Think of it this way:  there are 10 consecutive numbers, and the last one is 10.

Working backwards, we get the sequence 10, 9, ... 3, 2, 1.

The sum of such an arith sequence is equal to the count of the numbers times the average of the first and last terms:

sum here = 10(1+10)/2 = 5(11) = 55          (answer)
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Answers:

  • a) Stratified random sampling, or simply stratified sampling. Each group individually is known as a stratum. The plural is strata. The key here is that each stratum is sampled, though we don't pick everyone from every stratum. We randomly select from each unit to have them represent their unit. Think of it like house of representative members that go to congress. We have members from every state, but  Be sure not to mix this up with cluster sampling. Cluster sampling is where we break the population into groups or clusters, then we randomly select a few clusters in which every individual from those clusters is part of the sample.
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For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

7 0
3 years ago
Lucy took three tests. If her median score was 86, her mean score was 87, and the range was 13, what were her three test scores?
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3 years ago
D) A shopkeeper bought two radios for Rs 6,000. He sold one of them at a profit of 20℅
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2400 and 3600

Step-by-step explanation:

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2 years ago
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dusya [7]

There are two such numbers.

One of them is 2 + 9.5 = 11.5.

The other one is 2 - 9.5 = -7.5.

_____

If we consider "9.5 units from 2" to be 9.5 units in the positive direction, then the appropriate choice is 11.5.

6 0
3 years ago
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