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Setler [38]
3 years ago
11

Ricardo has a square hot tub. He wants to build a square

Mathematics
1 answer:
Sliva [168]3 years ago
8 0

Answer:

4.8ft

Step-by-step explanation:

Let x be the length of the side of the hot tub. Ricardo wants the pool's sides to be 5 times as long, so

5x=24\implies x=\dfrac{24}5=4.8\text{ ft}  

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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
earnstyle [38]

Answer:

(a) The probability that at least one of these components will need repair within 1 year is 0.0278.

(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.

7 0
3 years ago
Please help me due tomorrow
Tom [10]

<u>Given </u><u>:</u><u>-</u>

  • The slope of the line through points (3,y) and (4,10) is 7 .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The value of y .

<u>Solution</u><u> </u><u>:</u><u>-</u>

As we know that the slope of the line is difference of ordinate divided by the difference of absicca as ,

\longrightarrow m = y -10 / 3 - 4

\longrightarrow 7 (-1) = y -10

\longrightarrow -7 = y -10

\longrightarrow y = 10 -7

\longrightarrow y = 3

<u>Hence</u><u> the</u><u> required</u><u> answer</u><u> is</u><u> </u><u>3.</u>

5 0
2 years ago
What is (6*2)+12*2/4
pishuonlain [190]

Answer:

(6)(2)+

(12)(2)

4

=18

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Need some help...........​
Anarel [89]

Answer:

The answer is to the question is 13

7 0
3 years ago
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at math.
frosja888 [35]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
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