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Gala2k [10]
3 years ago
9

In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the

length of SQ?
A. 10 cm
B. 2 cm
C. 6 cm
D. 20 cm

thank you!​

Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0

Answer:

10 cm

Step-by-step explanation:

cestrela7 [59]3 years ago
4 0

Answer:

10 cm

Step-by-step explanation:

because RT = 35 and RS = 75 so ST = 70

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What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success​ p? C
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(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)

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

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This can then be written by the Binomial Formula as:

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

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