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Leto [7]
3 years ago
15

Solve the following simultaneous equations using an algebraic (not graphical) method.

Mathematics
1 answer:
ahrayia [7]3 years ago
3 0

Answer:

x=4

y= -1

Step-by-step explanation:

(3x-2y=14)×3

(7x+3y=25)×2

9x-6y= 42

14x + 6y =50

9x-42=6y

-14x+50=6y

9x-42= -14x+50

23x = 92

x=4

3(4)-2y=14

12-2y =14

-2y=2

y= -1

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At a manufacturing plant where switches are made, it is a known fact that 2% of all switches are defective. If two switches are
olchik [2.2K]

Answer:

The probability that exactly one switch is good is

P(x) =0.0392

Step-by-step explanation:

The probability that a switch is defective is:

P(D) = \frac{2}{100} =0.02

The probability that a switch is not defective is

P(D') = 1-P(D)=0.98

Therefore, if two switches are selected, the probability that exactly 1 is good is:

P(1=1)=P (D) P (D ') + P (D') P (D)

P(x)=(0.02)(0.98) + (0.98)(0.02)

P(x) =0.0392

6 0
3 years ago
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LuckyWell [14K]

First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.

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3 years ago
Find the area of the following figure. Explain how you found your answer.
iragen [17]

Answer:

Below

Step-by-step explanation:

Let's say that each square on the grid represents 1 cm

First find the area of the two triangles

For the larger one: A = bh/2

A = 3 x 3 / 2

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For the smaller one : A = bh/2

A = 2 x 2 / 2

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For the rectangle : A = lw

A = 4 x 5

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Add them all up to get the area

4.5 + 2 + 20 = 26.5 cm^2

Hope this helps!

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
Pregunta 14
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Answer:

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Step-by-step explanation:

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