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Anuta_ua [19.1K]
3 years ago
10

Find the sum x^2-2x-15 and 2x^2+5x-2

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0

Answer:

x^2-2x-15 = (

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115.6, 114.52 , 15.305, 114.483 from greatest to least
jekas [21]

Answer:

115.6, 114.52, 114.483, 15.305

Step-by-step explanation:

7 0
3 years ago
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Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a
Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.                          

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

  • The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
  • The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) P(number of drivers will be at most 18)

Formula:

P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}

P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381

Thus, 0.381 is the probability that the number of drivers will be at most 18.

3 0
4 years ago
Question 1<br>The product of 9 and n is-27. What is the value of n?<br>​
s2008m [1.1K]
-3 I think because 9x3= 27 so 9x-3= -27
6 0
3 years ago
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The perimeter of a rectangle is 44 inches. If the width of the rectangle is 8 inches, what is the length? OA. 14 inches​
solong [7]

A. 2(x+14) = 42

(2x = 14

 x = 7

2(7) + 2(14) = 14 + 28 = 42)

5 0
3 years ago
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