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irinina [24]
2 years ago
9

What is the NOT A RESTRICTION on the quotient of quantity 5 x squared minus 10 x minus 15 divided by quantity x squared minus 9

divided by quantity 6 x plus 12 divided by quantity x plus 2?
x ≠ -2
x ≠ 9
x ≠ 3
x ≠ -3
Mathematics
1 answer:
11111nata11111 [884]2 years ago
3 0
X not equal to 3

i hope this helps
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2. In your own words, explain HOW to find the standard deviation of this data set. (20 points) 3. What does the standard deviati
Ket [755]

Answer:

\sigma = 11.28 --- Standard deviation

Step-by-step explanation:

Given

See attachment for graph

Solving (a): Explain how the standard deviation is calculated.

<u>Start by calculating the mean</u>

To do this, we divide the sum of the products of grade and number of students by the total number of students;

i.e.

\bar x = \frac{\sum fx}{\sum f}

So, we have:

\bar x = \frac{50 * 1 + 57 * 2 + 60 * 4 + 65 * 3 +72 *3 + 75 * 12 + 77 * 10 + 81 * 6 + 83 * 6 + 88 * 9 + 90 * 12 + 92 * 12 +95 * 2 + 99 * 4 + 100 * 5}{1 + 2 + 4 + 3 +3 + 12 + 10 + 6 + 6 + 9 + 12 + 12 +2 + 4 + 5}

\bar x = \frac{7531}{91}

\bar x = 82.76

Next, calculate the variance using the following formula:

\sigma^2 = \frac{\sum f(x - \bar x)^2}{\sum f}

i.e subtract the mean from each dataset; take the squares; add up the squares; then divide the sum by the number of dataset

So, we have:

\sigma^2 = \frac{1 * (50 - 82.76)^2 +...................+ 5 * (100 - 82.76)^2}{91}

\sigma^2 = \frac{11580.6816}{91}

\sigma^2 = 127.26

Lastly, take the square root of the variance to get the standard deviation

\sigma = \sqrt{\sigma^2}

\sigma = \sqrt{127.26}

\sigma = 11.28 --- approximated

<em>Hence, the standard deviation is approximately 11.28</em>

Considering the calculated mean (i.e. 82.76), the standard deviation (i.e. 11.28) is small and this means that the grade of the students are close to the average grade.

8 0
2 years ago
Can someone please help me
Aneli [31]

Answer:

r = 5

Step-by-step explanation:

To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.

Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.

5 0
2 years ago
Rate this pic lol. I will give u a brainlist
nika2105 [10]
It is a good pic, good quality and all that
7 0
2 years ago
Calista boxes items for a packaging company. She can use only cube-shaped boxes, as
Shtirlitz [24]

Answer:

0.295in^3

Step-by-step explanation:

I divide the 56 by 8 by 27 and got 295 reaped and i keep the exponent  and the inces

6 0
3 years ago
Express: 0.006 in exponeutialform​
Yuri [45]

6×10^-3

Step-by-step explanation:

0.006

Move the point to the front of the first number that is from 1 to 9.

In the question it's 6, so you move it to the front of 6 .

And because it's from back to front it has to have a negative sign in its power

which is going to be

6× 10^-3

where 6=the number from 1 to 9

^ means raise to power or power of

-3= the negative power

3 0
2 years ago
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