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Mathematics

1 answer:

Kruka [31]3 years ago

4 0

1. Okay, we're looking at this list, and we need to find the mathematical mean, median, and modes of this list.

Median = The value closest to the middle of the set.

17, 18, 18, 19, 20, 21, 21, 21, 22, 22, 22, 22, 23, 25, 26

If we count, there are 15 values, so we just have to find the middle one, which is 21

The median of the first problem is 21.

Mode = The number that occurs most frequently in the set. In this set, we can see that the number 22 appears 4 times, which is more than any other number in the set.

22 is the mode for the first problem.

Range = The distance in numeric value between the highest number of the set and the lowest number.

26 is the highest number and 17 is the lowest.

26 - 17 = 9

The range of the first problem is 9.

2. We solve for average by adding all values together and then dividing by the amount of values there are.

(17 + (18 * 2) + 19 + 20 + (21 * 3) + (22 * 4) + 23 + 25 + 26) / 15 = 21.13... = $21 \frac{2}{15}$

<span>The average amount of grain needed is $21 \frac{2}{15}$

3. For this one, we just have to solve it the same way, and then compare the central measures.

Median = 21 (For this one, there was an even amount of numbers, so we just took the average of the two closest to the middle, both of which were 21. The average of two numbers of the same value is that same number)

Mode = 22

Range = 9

The three values have not changed from the original values, so there is no change.

Hope that helped =)</span>

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Answer:

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Step-by-step explanation:

First, we need to identify the parts of the problem that we already know:

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For the problem's sake, let us pretend that the pilot's original flight plan was going to take two hours. Had he/she left at 4:00 pm, the pilot would have landed at 6:00 pm.

With a delay of 15 minutes, the duration of the flight would still remain constant, so the pilot would arrive at their destination two hours later, at 6:15 pm.

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So, now we have to subtract 1/2 from the original flight time, as well as adding the 15 minute delay for departure. Now we can create a formula:

y = (1/2)x + 15

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Answer:

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Step-by-step explanation:

The nine coordinates are $(0,10)$ , $(1,9.9)$ , $(2,9.6),(3,9.5), (4,9.4), (5,9.2), (6,9), (7,8.7), (8,8.6)$

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Using the values from the table attached below, we can substitute and find the values of a and b

Substituting the values of a, we get,

$\begin{aligned}a &=\frac{\left(N * \sum x y\right)-\left(\sum x * \Sigma y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(9 * 324.9)-(36 * 83.9)}{(9 * 204)-(36 * 36)} \\&=-0.18\end{aligned}$

Similarly, substituting the values of b, we get,

$\begin{aligned}b &=\frac{\left(\sum x^{2} * \Sigma y\right)-\left(\sum x * \sum x y\right)}{\left(N * \sum x^{2}\right)-\left(\sum x * \sum x\right)} \\&=\frac{(204 * 83.9)-(36 * 315)}{(9 * 204)-(36 * 36)} \\&=10.06\end{aligned}$