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Vinil7 [7]
3 years ago
9

An arithmetic sequence is defined by its 1st term a1 = 7 and the sum of the first 10 terms s10 = 25. Find the difference d of th

e sequence.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
3 0

Step-by-step explanation:

difference is 1.8

hope it is correct

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The number of calls coming per minute into a hotel reservation center is Poisson random variable with mean 3.
natima [27]

Answer:

a) 0.05

b) 0.9826

c) 0.000039308

Step-by-step explanation:

a) P_X(0) = \frac{e^{-3}3^0}{0!} = e^{-3} =  0.05

b) For two minutes, the mean is doubled, hence it is 6. In order to calculate the probability of al least two calls arriving, we calculate first the probability of the complementary event: At most 1 call will arrive. For that probability, we need to sum the probabilities of 0 and 1.

P_X(0) = e^{-6}

P_X(1) = \frac{e^{-6}*6^1}{1!} = 6*e^{-6}

Hence,

P(X \geq 2) = 1-P(X < 2) = 1- 7*e^{-6} = 0.9826

c) For five minutes the mean is 15. We need to sum the probabilities of 0, 1 and 2.

P_X(0) = e^{-15}

P_X(1) = e^{15}*15

P_X(2) = \frac{e^{-15}*15^2}{2!} = 112.5*e^{-15}

As a result,

P(X \leq 2) = e^{-15}(1+15+112.5) = 0.000039308

Practically 0

4 0
3 years ago
Can someone help me please !
mafiozo [28]

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Name the marked angle in 2 different ways.<br> N<br> M<br> L<br> K
Alisiya [41]

Answer:

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Use the distributive property to factor the expression below. 54x2y - 12x2y2
klio [65]
<span>54x^2y - 12x^2y^2
=6x^2y(9 - 2y)</span>
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Read 2 more answers
Help with this question, please ASAP!! I need help!!
SashulF [63]

i did this before the answer is choice B

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