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gayaneshka [121]
4 years ago
15

Find the first six terms of the sequence.

Mathematics
1 answer:
Yuliya22 [10]4 years ago
8 0

Answer:

6, 12, 24, 48, 96, 192

Step-by-step explanation:

The first term a1 = 6 and the common ratio is 2.

So it is 6,  6*2,  6*2^2 ....

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What is 4/5 multiplied by 15/16 ?
sergij07 [2.7K]
0.75 or 75/100
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3 0
3 years ago
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Q: Marci wants to prove that the diagonals of
Trava [24]

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

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7 0
3 years ago
Suppose the number of hits a webpage receives follows a Poisson distribution. The average number of hits per minute is 2.4. What
REY [17]

Answer:

The probability that the page will get at least one hit during any given minute is 0.9093.

Step-by-step explanation:

Let <em>X</em> = number of hits a web page receives per minute.

The random variable <em>X</em> follows a Poisson distribution with parameter,

<em>λ</em> = 2.4.

The probability function of a Poisson distribution is:

P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0,1,2,...

Compute the probability that the page will get at least one hit during any given minute as follows:

P (X ≥ 1) = 1 - P (X < 1)

             = 1 - P (X = 0)

             =1-\frac{e^{-2.4}(2.4)^{0}}{0!}\\=1-\frac{0.09072\times1}{1} \\=1-0.09072\\=0.90928\\\approx0.9093

Thus, the probability that the page will get at least one hit during any given minute is 0.9093.

6 0
3 years ago
Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.
Anettt [7]

Answer:

The common ratio is 4

Step-by-step explanation:

We need to divide a term by the previous term to find the common ratio in a geometric sequence:

64 ÷ 16 = 4

256 ÷ 64 = 4

By doing it twice we can confirm that the common ratio is 4

8 0
3 years ago
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Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee
riadik2000 [5.3K]

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


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<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

6 0
3 years ago
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