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Neko [114]
3 years ago
10

Richard and Teo have a combined age of 26 . Richard is5 years older than twice​ Teo's age. How old are Richard and​ Teo?

Mathematics
1 answer:
loris [4]3 years ago
8 0

Answer:Teo's age = 7 years ,Richard's age = 19 years

Step-by-step explanation:

Step 1

Let Teo's age be represented as x

Such that Richard 's age = 5 + 2x

and their combined ages equaling 26 can be expressed as

x + 5+ 2x = 26

Step 2 --- SOLVING

x + 5+ 2x = 26

3x+ 5= 26

3x= 26-5

3x= 21

x = 21/3

x = 7

Teo's age = 7 years

Richard's age = 5+2x= 5 + 14= 19 years

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In a home theater system, the probability that the video components need repair within 1 year is 0.02, the probability that the
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(b) The probability that exactly one of these component will need repair within 1 year is 0.0277.

Step-by-step explanation:

Denote the events as follows:

<em>A</em> = video components need repair within 1 year

<em>B</em> = electronic components need repair within 1 year

<em>C</em> = audio components need repair within 1 year

The information provided is:

P (A) = 0.02

P (B) = 0.007

P (C) = 0.001

The events <em>A</em>, <em>B</em> and <em>C</em> are independent.

(a)

Compute the probability that at least one of these components will need repair within 1 year as follows:

P (At least 1 component needs repair)

= 1 - P (No component needs repair)

=1-P(A^{c}\cap B^{c}\cap C^{c})\\=1-[P(A^{c})\times P(B^{c})\times P(C^{c})]\\=1-[(1-0.02)\times (1-0.007)\times (1-0.001)]\\=1-0.97216686\\=0.02783314\\\approx 0.0278

Thus, the probability that at least one of these components will need repair within 1 year is 0.0278.

(b)

Compute the probability that exactly one of these component will need repair within 1 year as follows:

P (Exactly 1 component needs repair)

= P (A or B or C)

=P(A\cap B^{c}\cap C^{c})+P(A^{c}\cap B\cap C^{c})+P(A^{c}\cap B^{c}\cap C)\\=[0.02\times (1-0.007)\times (1-0.001)]+[(1-0.02)\times 0.007\times (1-0.001)]\\+[(1-0.02)\times (1-0.007)\times 0.001]\\=0.02766642\\\approx 0.0277

Thus, the probability that exactly one of these component will need repair within 1 year is 0.0277.

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Answer:

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Step-by-step explanation:

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