Christian conducted a survey to find the favorite hobby of her classmates from 4 choices. He surveyed the same number of girls a
s boys. The table
shows his results
Name Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
O Fewer students prefer reading than prefer cooking,
Twice as many sutdents prefer reading than prefer hiking,
The hobby that the most boys prefer is different than the hobby that most girls prefer
shows his results
Name Number of Boys Number of Girls
Cooking
5
6
Drawing
4
5
Reading
10
10
Hiking
6
4
Which of the following statements about the data is true?
More girls than boys prefer hiking.
O Fewer students prefer reading than prefer cooking,
Twice as many sutdents prefer reading than prefer hiking,
The hobby that the most boys prefer is different than the hobby that most girls prefer
1 answer:
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The three numbers will be 12, 7, 2 and 3, 7, 11.
<h3>What is a sequence?</h3>A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
Let the three consecutive numbers be a, a + d, and a + 2d
The sum of three numbers which are consecutive terms of an A.P. is 21.
a + a + d + a + 2d = 21
3(a + d) = 21
a = 7 - d
If the second number is reduced by 1 and the third term is increased by 1 we obtain the geometric product.
Then the number will be a, a + d − 1, a + 2d + 1. Then we have
On simplifying, we have
36 = a (8 + d)
a² - 15a + 36 = 0
On factorizing, the value of a will be
a² - 15a + 36 = 0
a² - 12a - 3a + 36 = 0
(a - 12)(a - 3) = 0
a = 3, 12
If a = 12, then the value of d will be
d = 7 - 12
d = -5
If a = 3, then the value of d will be
d = 7 - 3
d = 4
Then the three numbers will be 12, 7, 2 and 3, 7, 11.
More about the sequence link is given below.
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