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aivan3 [116]
3 years ago
6

Given the set of numbers (3, 5, 7, 11, 23), what number must be added to the set so that the median of the 6 numbers is 9? what

number must be added to the set so that the mean of the 6 numbers is 9?
Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Easy

median is the number in the middle when they are arranged in increasing numerical order
example
1,2,3
median is 2 becaus it is in middle
1,4,6,7,8
6 is median

if you have an even amount then average the middle two
1,3,5,7
median is the mean of 3 and 5 which is 4

so

3,5,7,11,23
median is 7 right now
there are an odd amout of numbers
adding 1 will result in even
to find the median of even set of numbers, average the 2 middle ones
right now 7 is center
the mean of 5 and 7 is 6
the mean of 7 and 11 is 9
we want a mean of 9
so add any  number greater than or equal to 11
3,5,7,11,12,23 is one option
3,5,7,11,23,50 is another



mean is 9
mean is the average of them
x is the number to be added
6 numbers will be the set since there are 5 now and adding 1 will get 6
(3+5+7+11+23+x)/6=9
(49+x)/6=9
times both sides by 6
49+x=54
minus 49 both sides
x=5

the number added must be 5



to make the median of the 6 numbers 9, add any number greater than or equal to 11, such as 12 or 234

to make the mean 9, add 5 to the set
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a rectangle has a length if x + 7 centimeters. The perimeter of the rectangle is 23 centimeter. What is the value of x
Tems11 [23]

23 = 14 + 2x
reasoning \: for \: each \: term \: in \: the  \\ \: above \: equation\\  \\ p = 23 \\  14 = 7 \times 2 \\ 2x = 2 \times x
\:  \:  \:  \:  \: 23 - 14 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 14 + 2x - 14 \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  9 = 2x
\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 9  \div 2 \:  \:  \:  \:  \:  \:  \:  \:  \: 2x \div 2 \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 4.5 = x
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8 0
3 years ago
Someone help me out please!! YOU WILL GET BRAINLIEST
sineoko [7]

nope they are not similar

as in order to say that triangles are similar their sides should be in proportion or angles to be equal but here

here only one angle is equal the other one is not

So they are not similar

8 0
3 years ago
Read 2 more answers
16.415 rounded to the nearest tenth is 16.4.
jeka94

Answer:

false

Step-by-step explanation: the answer is 20

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3 years ago
I need help with this.
alekssr [168]

Answer:

x=7

Step-by-step explanation:

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2 years ago
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