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Anna007 [38]
4 years ago
11

1. Generate the first 5 terms of this sequence:

Mathematics
1 answer:
Komok [63]4 years ago
3 0
1) f(1) = 0 ; f(2) = 1 ; f(n) = f(n-1) + f(n-2) , for n > 2

f(3) = f(3-1) + f(3-2) = f(2) + f(1) = 1 + 0 = 1
f(4) = f(4-1) + (4-2) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(5-1) + (5-2) + f(4) + f(3) = 2 + 1 = 3

1st five terms of the sequence are 0, 1, 1, 2, 3

2) There is no graph. This question can't be answered.

3) <span>C. This is the average number of days the house stayed on the market before being sold for $250,000.</span>
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If ΔABC ≅ ΔEDF where the coordinates of A(0, 2), B(2, 4), and C(2, −1), what is the measure of DF?
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Answer:

C. 5

Step-by-step explanation:

Since Triangle ABC is congruent to EDF it mean that the sides are the same so the length of BC is congruent to the length of DF:

distance formula:

d = √(x2 - x1)^2 + (y2 - y1)^2

d = √(2 - 2)^2 + (-1 - 4)^2

d = √(0)^2 + (-5)^2

d = √0 + 25

d = √25

d = 5

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3 years ago
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Diego Rollins is paid $10.20 an hour for a regular 40-hour week at the
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Answer:

$1632

Step-by-step explanation:

Hourly pay for Diego = $10.20

Weekly hours = 40 Hours

Basic earning = 10.20 × 40 = $408

Overtime pay = 15 × Hourly rate = 15 × 10.20 = $153

Total overtime = 8 hours

Overtime earning = 153 × 8 = 1224

Total earning for the week = 408 + 1224 = $1632

5 0
3 years ago
I WILL MARK BRAINIEST IF CORRECT!
Lunna [17]

Answer:

I believe I would be the last one D

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How do you solve this step by step? “ I’m thinking of a number. If you multiply it by 6 and then add 7, you will get 55. What is
lozanna [386]

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8

Step-by-step explanation:

55 -7 = 48

48/6= 8

Check answer:

8x6= 48

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4 years ago
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Suppose that two openings on an appellate court bench are to be filled from current municipal court judges. The municipal court
Ksju [112]

Answer:

(a)\dfrac{92}{117}

(b)\dfrac{8}{39}

(c)\dfrac{25}{117}

Step-by-step explanation:

Number of Men, n(M)=24

Number of Women, n(W)=3

Total Sample, n(S)=24+3=27

Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>

(a)Probability that both appointees are men.

P(MM)=\dfrac{24}{27}X \dfrac{23}{26}=\dfrac{552}{702}\\=\dfrac{92}{117}

(b)Probability that one man and one woman are appointed.

To find the probability that one man and one woman are appointed, this could happen in two ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.

P(One man and one woman are appointed)=P(MW)+P(WM)

=(\dfrac{24}{27}X \dfrac{3}{26})+(\dfrac{3}{27}X \dfrac{24}{26})\\=\dfrac{72}{702}+\dfrac{72}{702}\\=\dfrac{144}{702}\\=\dfrac{8}{39}

(c)Probability that at least one woman is appointed.

The probability that at least one woman is appointed can occur in three ways.

  • A man is appointed first and a woman is appointed next.
  • A woman is appointed first and a man is appointed next.
  • Two women are appointed

P(at least one woman is appointed)=P(MW)+P(WM)+P(WW)

P(WW)=\dfrac{3}{27}X \dfrac{2}{26}=\dfrac{6}{702}

In Part B, P(MW)+P(WM)=\frac{8}{39}

Therefore:

P(MW)+P(WM)+P(WW)=\dfrac{8}{39}+\dfrac{6}{702}\\$P(at least one woman is appointed)=\dfrac{25}{117}

5 0
3 years ago
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