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Schach [20]
3 years ago
7

If g is the midpoint of FH find Fg

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

If G is the midpoint of FH find FG

fg=11x-7 gh= 3x+9

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Adimas found the mean of her 11 math test scores for the first semester. X = StartFraction (76 87 65 88 67 84 77 82 91 85 90) Ov
Reika [66]

To find the solution we will first find the difference between each number and mean, and then substitute the value in the formula of standard deviation.

The standard deviation is 8.4477 and the variance is 71.40.

Given to us

  • Test scores of Adimas = (76, 87, 65, 88, 67, 84, 77, 82, 91, 85, 90)
  • Mean = 81

<h3>Standard Deviation</h3>

difference between each number and mean,

x_1 -\mu= 76-81 = -5\\&#10;x_2-\mu = 87-81 = 6\\&#10;x_3-\mu = 65-81 = -16\\&#10;x_4-\mu = 88 -81 = 7\\&#10;x_5-\mu = 67-81 = -14\\&#10;x_6 -\mu= 84-81 = 3\\&#10;x_7 -\mu= 77-81 = -4\\&#10;x_8 -\mu= 81-81 = 1\\&#10;x_9 -\mu= 91-81 = 10\\&#10;x_{10}-\mu=85-81 = 4\\&#10;x_{11} -\mu= 90-81 = 9

\sum(x-\mu)^2 = x_1^2+x_2^2+x_3^2+x_4^2+x_5^2+x_6^2+x_7^2+x_8^2+x_9^2+x_{10}^2+x_{11}^2

                 =  25 + 36 + 256 + 49 + 196 + 9 + 16 + 1 + 100 +16 + 81

                 = 785

\rm{ Standard\ Deviation = \sqrt{\dfrac{\sum{(X-\mu)^2}} {n}

                             \sigma= \sqrt{\dfrac{785}{11}}\\\\&#10;\sigma = 8.4477

<h3>Variance</h3>

Variance = \sigma ^2

              = 71.40

Hence, the standard deviation is 8.4477 and the variance is 71.40.

Learn more about Standard Deviation:

brainly.com/question/12402189

3 0
2 years ago
HELP PLZZZ URGENT I NEED HELP RN PLSSSSSSS
hjlf

Answer:

0 from the x axis, 5 from the y-axis

Step-by-step explanation:

Coordinates are (x,y).

3 0
3 years ago
Read 2 more answers
Margie has a $50.00 budget to purchase a $45.00 pair of boots. If there is an 8% sales tax rate, Margie will be how much under b
natita [175]

Answer:

$1.40

Step-by-step explanation:

First, 8% of $45

45*0.08=3.6

45+3.6=48.6

50-48.6=1.4

4 0
3 years ago
What is it I have e no clue
Scrat [10]
It is D
Descending order means that the first polynomial factor must the largest. You can tell that by looking at its degree, or the exponent. In this, 11 is the largest degree. the smallest degree is a constant, which is 4. That is why it is D.
6 0
4 years ago
The question is in the picture
Hoochie [10]
Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.

Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)

1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.

2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.

3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.

4.) m=2/1
We simplified the above formula.

5.) m=2
By division.

We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.

Now, finding the y-intercept:

The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.

To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.

Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.

Therefore, the equation is y=2x-3, where m=2 and b=-3.

That’s the answer: y=2x-3
4 0
3 years ago
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