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Lyrx [107]
3 years ago
15

A figure is translated using the rule (x,y) (x-3,y+6). Which describes how the figure is moved

Mathematics
1 answer:
Rzqust [24]3 years ago
4 0
The figure is moved the 3 units to the left and 6 units up
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BRAINLIST BRAINLIST BRAINLIST
musickatia [10]

Answer:

0.5 onces

Step-by-step explanation:

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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
What is the product? (-2x-9y^2)(-4x-3)
telo118 [61]

Answer:-8x^2-6x+36xy^2+27y^2

Step-by-step explanation:

using the FOIL method

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Vanesa earns a base salary of 400
nydimaria [60]

Answer:

Cool

Step-by-step explanation:

7 0
3 years ago
What is the output value of (4x+2)(x-5)/2 using input value of x=2
Firdavs [7]

Answer:

-15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

(4x + 2)(x - 5) / 2

x = 2

<u>Step 2: Evaluate</u>

  1. Substitute:                             (4 · 2 + 2)(2 - 5) / 2
  2. Parenthesis - Multiply:          (8 + 2)(2 - 5) / 2
  3. Parenthesis - Add:                10(2 - 5) / 2
  4. Parenthesis - Subtract:         10(-3) / 2
  5. Multiply:                                 -30 / 2
  6. Divide:                                    -15
6 0
3 years ago
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