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2 years ago

Can someone help me please it is from numbers 16 to 19 please someone

Mathematics

1 answer:

TiliK225 [7]2 years ago

6 0

The correct answers are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the mean, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The median is the middle point of a data set. Since there are 24 points, this will be between two values. These two values are 10 and 10; the median is 10.

The range is found by subtracting the highest and lowest values:
22-5 = 17.

17) The mean is changed; the sum of the data values is 246. Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The median does not change; it is still 10.
The range changes; the highest value is now 15, and the lowest is 5: 15-5=10. The range is changed the most.

18) The mean is affected by the outlier and the median is not, so we use the median. This means the answer is 10.

19) The expression for the total number of cars sold is found by adding together all of the points.

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Answer:

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Step-by-step explanation:

Given : $a_2=20$ and common ratio (r) = 5

We have to find the 8th term of the geometric sequence whose $a_2=20$ and common ratio (r) = 5

Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).

$a_n=ar^{n-1}$ ......(1)

where $a_n$ is nth term and a is first term.

For given sequence

a can be find using $a_2=20$ and r = 5

Substitute in (1) , we get,

$a_2=ar^{2-1}$

$\Rightarrow 20=a(5)$

$\Rightarrow a=4$

Thus, 8th term of the sequence denoted as $a_8$

Substitute n= 8 in (1) , we get,

$a_8=ar^{8-1} \\\\a_8=(4)r_{7} \\\\a_8=4(5)^7=4 \times 78125=312500$

Thus 8th term of geometric sequence is 312500

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3 years ago