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3 years ago

What - 31 equals to 213

Mathematics

1 answer:

Aneli [31]3 years ago

7 0

Answer:

-31+224=213

Step-by-step explanation:

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Tatiana [17]

I can't read the first one and I also don't know

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3 years ago

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:

A = video components need repair within 1 year

B = electronic components need repair within 1 year

C = 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 A, B and C 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

2 years ago

a paint mixture contains 32 gallons of base for every gallon of color. In 924 gallons of paint, how many gallons of color are th

expeople1 [14]

base and color are in a ratio of 32:1, where color is "x"
924-x/x=32/1
924-x=32x33x=924

x = 28 (gallons of color)

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3 years ago

Find the vertex and focus of the parabola. y2 – 4y + 12x – 8 = 0

IceJOKER [234]

Answer:

1,2

-2 2

Step-by-step explanation:

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2 years ago

Write the function in function notation. y=7b+8

sesenic [268]

F(b)=7b+8
you just need to change the x variable. make y into f(x) or in this case f(b)

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3 years ago