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3 years ago

Solve the following equations for ????. Show your method and work. If no solution is possible, explain how

Mathematics

1 answer:

Semenov [28]3 years ago

8 0

Answer:

Step-by-step explanation:

Additive identity is 0.

step 3 used the additive identity property.

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The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:

blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}$

$=\frac{1}{11}\times [19+19+21+...+40]\\\\=\frac{299}{11}\\\\=27.182$

Compute the standard deviation as follows:

$SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}$

$=\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899$

Thus, the standard deviation of the age distribution is 6.2899 years.

7 0

3 years ago

Is the mean <br> always in the data values

Tju [1.3M]

It might just be old pal :)

4 0

3 years ago

What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?

Gwar [14]

Answer:

Step-by-step explanation:

First, find the slope by using change in y divided by change in x.

Change in y = 5 - 2 = 3

Change in x = 2 - 1 = 1

This means that the slope is 3/1 = 3.

Then, you put it in the point-slope form so:

(y - 2) = 3(x - 1)

3 0

3 years ago

Two terms of an arithmetic sequence are a10=16 and a35=66 find the sum of the first 75 terms

andrew11 [14]

The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.

<h3>How to find the sum of terms using Arithmetic sequence formula</h3>

aₙ = a + (n - 1)d

where

a = first term

d = common difference

n = number of terms

Therefore, let's find a and d

a₁₀ = a + (10 - 1)d

a₃₅ = a + (35 - 1)d

Hence,

16 = a + 9d

66 = a + 34d

25d = 50

d = 50 / 25

d = 2

16 - 9(2) = a

a = 16 - 18

a = -2

Therefore, let's find the sum of 75 terms of the arithmetic sequence

Sₙ = n / 2 (2a + (n - 1)d)

S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)

S₇₅ = 37.5 (-4 + 148)

S₇₅ = 37.5(144)

S₇₅ = 5400

learn more on arithmetic sequence here: brainly.com/question/1687271

4 0

3 years ago

Find the four rational numbers between 2/3 and 5/6

Sav [38]

Answer:

Step-by-step explanation:

LCM of 3 and 6 = 6

2/3 = (2×2) / (3×2) = 4/6

4/6 = (4×5) / (6×5) = 20/30

5/6 = (5×5) / (6×5) = 25/30

Hence, 21/30, 22/30, 23/30 and 24/30 are four rational numbers between 2/3 and 5/6.

4 0

3 years ago