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viktelen [127]
3 years ago
10

Find Mean, Median, mode and range. Round to the nearest tenth.

Mathematics
1 answer:
Zigmanuir [339]3 years ago
7 0

Answer:

Mean =26.2

Median=27

Mode=32

Range=38

Step-by-step explanation:

From the stem and leaf plot, we obtain the original data as:

9,11,12,12,14,17,25,25,27,32,32,32,33,35,41,42,47

The median is middle observation of the array.

Thebefore the median is 27

The mode is the number that occurs most.

The mode is 32.

The range is the highest observation minus the least observation.

The range is 47-9=38

The mean is given by:

\bar x =  \frac{9 + 11 + 12 + 12 + 14 + 17 + 25 + 25 + 27 + 32 + 32 + 32 + 33 + 35 + 41 + 42 + 47}{17}

\bar x =  \frac{446}{17}  = 26.24

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At a garden shop, a customer buys 5 geraniums and 4 lilies for $48. Another customer pays $58 for 4 geraniums and 6 lilies. Writ
masha68 [24]

Answer:

A lily costs $7 and a geranium $4.

Step-by-step explanation:

From the question, we can write two equations. let the number of lilies be l and the number of geraniums be g, then:

5 g + 4 l = 48

4 g + 6 l = 58

Multiply the first equation by 4 and the second by 5, the number of lilies in the other gives:

20 g + 16 l = 192

20 g + 30 l = 290

Subtract the first equation from the second gives:

14 l = 98  which dividing by 14 gives  l = 7

Substituting the value  l = 7  in the first equation gives:

5 g + 28 = 48

Subtract 20 from both sides gives:

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So, a lily costs $7 and a geranium costs $4.

7 0
2 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
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