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Nostrana [21]
3 years ago
7

Find the first four terms of the sequence an = 5n-1.​

Mathematics
1 answer:
viva [34]3 years ago
3 0

Answer:

let's see what to do buddy...

Step-by-step explanation:

" First four terms " means :

t(1) , t(2) , t(3) , t(4)

t(1) = a(1) = 5(1) - 1 = 5 - 1 = 4 \\ t(2) = a(2) = 5(2) - 1 = 10 - 1 = 9 \\ t(3) = a(3) = 5(3) - 1 = 15 - 1 = 14 \\ t(4) = a(4) = 5(4) - 1 = 20 - 1 = 19 \\  \\ t(1) = 4 \\ t(2) = 9 \\ t(3) = 14 \\ t(4) = 19

So the first four terms

are : 4 , 9 , 14 , 19

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3 years ago
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2 years ago
A binomial event has n = 60 trials. The probability of success for each trial is 0.20. Let x be the number of successes of the e
OLga [1]

Answer:

12 and 3.0984

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

\mu_{x} = np

The standard deviation of the binomial distribution is:

\sigma_{x} = \sqrt{np(1-p)}

In this problem, we have that:

n = 60, p = 0.2

So

\mu_{x} = np = 60*0.2 = 12

\sigma_{x} = \sqrt{np(1-p)} = \sqrt{60*0.8*0.2} = 3.0984

So the correct answer is:

12 and 3.0984

4 0
3 years ago
A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximat
Andreas93 [3]

Answer:

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

<u>First, we need to calculate the daily growth rate:</u>

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

<u>Now, by using the following formula, we can determine the population p in any given day t:</u>

FV(p)= PV*(1 + g)^t

<u>For, example after 7 days:</u>

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

<u>For example, after 10 days:</u>

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

4 0
3 years ago
16x+9=9y-2 solve for y
Crazy boy [7]
16/9x+11/9= y

Just adding the numbers on the y side so they cancel out and leave y alone. Now to leave y without the number in front you simply divide.
3 0
3 years ago
Read 2 more answers
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