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Natasha2012 [34]
3 years ago
5

Find the mean of the data set. –6 3 –2 6 7 –3 –5

Mathematics
1 answer:
LuckyWell [14K]3 years ago
6 0

The mean of a dataset is given by the sum of the elements in the dataset, divided by the dataset's size:

\dfrac{-6+3-2+6+6-3-5}{7} = -\dfrac{1}{7}

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A rectangular lamina of uniform density is situated with opposite corners at (0,0) and (15,4). calculate its radii of gyration a
Sphinxa [80]
First, you have to find the moment of inertia along the x and y axes. Constant density is denoted as k.


I_{x}= \int\limits^15_0\int\limits^4_0 {k y^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

I_{y}= \int\limits^15_0\int\limits^4_0 {k x^{2} } \, dx  dy= \frac{1}{3}k (15-4)^4=4880.33k

Then, the radii of gyration for

x = √[I_x/m]
y = [I_y/m]

where m = k(15-4)² = 121k. Then,

x = y = [4880.33k/121k] = 40.33

I hope I was able to help you. Have a good day.
7 0
3 years ago
Find the equation of the line.<br> Use exact numbers.
iren2701 [21]

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

4 0
3 years ago
Can you please help me solve this equation
Pavlova-9 [17]
I think each girl had 8.1 points may be wrong

4 0
3 years ago
A bad contains 4 red marbles and 5 blue marbles. Two marbles are randomly drawn without replacement. Find the probability both m
kolbaska11 [484]
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5 0
3 years ago
HELP PLEASE!!!
True [87]

Answer:

The graph of f(x) is shifted k units to the right of the graph of g(x).    

Step-by-step explanation:

Given the function  and  where k <0.

As, horizontal depends on the value of x and are when

g(x)=f(x+h)   graph shifted to left.

g(x)=f(x-h)    graph shifted to right.

Now, given

But here k is negative, when k is considered positive then f(x) becomes

⇒ The graph of f(x) is shifted k units to the right of the graph of g(x).

Correct option is B.

6 0
3 years ago
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