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RideAnS [48]
3 years ago
5

Solve for M 6M=2 Simplify your answer as much as possible. 20 Points

Mathematics
2 answers:
murzikaleks [220]3 years ago
8 0
M = 1/3

Most simplified version.
nignag [31]3 years ago
7 0
M= 1/3. Hope this helps :)
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Help with Math Please... need in 5 min or less.
hoa [83]

Answer:

\sqrt{61}

Step-by-step explanation:

We see that diagonal AB is also the hypotenuse of a triangle where the other 2 side lengths are 4 and sqrt{45}. Using the Pythagorean theorem, we get that diagonal AB is  \sqrt{61}

3 0
2 years ago
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A stratified sample in which the number of sampling units drawn from each stratum is in proportion to the population size of the
jekas [21]
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3 years ago
What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success​ p? C
charle [14.2K]

Answer:

(D)E[ X ] =np.

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success​ p,

f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq  x\leq n

E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}

Now,

x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)

Substituting,

E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}

Factoring out the n and one p from the above expression:

E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}

Representing k=x-1 in the above gives us:

E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}

This can then be written by the Binomial Formula as:

E[ X ] = (np) (p +(1 - p))^{n -1 }= np.

5 0
3 years ago
If EF bisects CD, CG =5x-1, GD = 7x-13, EF = 6x-4, and GF =13, find EG
VARVARA [1.3K]

<em>Greetings from Brasil....</em>

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

<h2>EG = 19</h2>

<em>(see attachment)</em>

6 0
3 years ago
What two numbers have a product of -36 and a sum of<br> 5?
natima [27]

Answer: 9, -4

Step-by-step explanation:

We can write an equation:

xy=-36

x+y=5

Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6

There are only 2 factors here that add up to -36: 9 and -4

5 0
3 years ago
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