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lana [24]
3 years ago
7

In a fibonacci sequence, the first number is 1 and the tenth number is 111. find the second number.

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Let x be the second number in the Fibonacci sequence.

Then we have the sequence is as follows:

1st: 1
2nd: x
3rd: 1 + x
4th: 1 + 2x
5th: 2 + 3x
6th: 3 + 5x

7th: 5 + 8x

8th: 8 + 13x

9th: 13 + 21x

10th: 21 + 34x

so 111 = 21 + 34x, so 34x = 90, so x = 90/34 = 45/17.

Thus the second term would be 45/17. (if I haven’t made any errors in arithmetic).

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Answer is (1 9/20) because 1 and 45/ 100 can be simplified by divided 45/100 by 5.  45 divided by 5 is 9 and 100 divided by 5 is 20.  A mixed number is a combination of a whole number and a fraction.  The whole number is 1 and the fraction is reduced to 9/20.
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I NEED HELP PLEASEEEE. Write y=-1(x-3)(x-9) in standard form
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4 0
3 years ago
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

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4 0
2 years ago
The area of a regular hexagon circumscribed about a circle with radius 2 is _______________.
Yuliya22 [10]

Answer:

relate the values and find the correct answer

7 0
3 years ago
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Frank invests $1,000 in simple interest investment account that pays 8% a year. After a number of years, he withdraws his balanc
elena-s [515]

Answer:

15 years

Step-by-step explanation:

Given data

P=$1,000

R=8%

A= $2200

I= A-P

I=2200-1000

I=$1200

Applying the formula

I=PRT/100

1200=1000*8*T/100

cross multiply

1200*100= 8000T

120000= 8000T

divide both sides by 8000

T=120000/8000

T=15  years

Hence the time is 15 years

6 0
3 years ago
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