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Flura [38]
3 years ago
11

What are the possible values of the missing term in the geometric sequence? 4, _, 9, ...

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0
<h3>Two possible answers: 6 or -6</h3>

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

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

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Bit transmission errors between computers sometimes occur, where one computer sends a 0 but the other computer receives a 1 (or
lana66690 [7]

Answer:

(a) Probability that a triplet is decoded incorrectly by the receiving computer. = 0.010

(b)

(1 – p) = 0.010

(c)

E(x) = 25000 x 0.010

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Explanation has given below.

Step-by-step explanation:

Solution:

(a) Probability that a triplet is decoded.

2 out of three

P = 0.94, n = 3

m= no of correct bits

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At p(m≤1) = B (1; 3, 0.94)

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(b) Using your answer to part (a),

(1 – p) = 0.010

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(c)  How does your answer to part (a) change if each bit is repeated five times (instead of three?

P( m ≤ 2 )

L = Bit (5, 0.94)

   = B (2; 5, 0.94)

   = 0.002

(d)  Imagine a 25 kilobit message (i.e., one requiring 25,000 bits to send). What is the expected number of errors if there is no bit repetition implemented? If each bit is repeated three times?

Given:

h = 25000

Bits are switched during transmission between two computers = 6% = 0.06

m = Bit (25000, 0.06)

E(m) = np

        = 25000 x 0.06

         = 1500

m = Bit (25000, 0.01)

E(m) = 25000 x 0.010

     = 259.2

3 0
3 years ago
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7 0
3 years ago
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Angle AOC and angle BOD are vertical angles. If m∠AOC = (4x + 40)° and m∠BOD = 120°, which equation could be used to solve for x
puteri [66]

Answer:

4x+40=120

Step-by-step explanation:

Vertical angles are congruent so you would set them equal to each other.

3 0
4 years ago
How do you answer this question? It's my sisters, me and my mom have never seen it before. Number 7
algol [13]
I think that the answer is A because you are being asked for the tens place. Since you are looking to identify the place value, choice B and C are automatically eliminated because each place value increases by multiplying by ten. 20 and 60 are not multiples of 10. To identify the tens place, you would have to multiply by ten. I thought of this question in the sense of scientific notations.
6 0
3 years ago
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What is the result of adding 2.5 x 10^3 and 3.5 x 10^2
zvonat [6]

10^3 is 1000

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10^2 is 100

So we have 3.5 x 100 which is 350

Now we add 2500+350 and the answer is 2,850

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4 years ago
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