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USPshnik [31]
3 years ago
15

What is the simplified form of (12-4t)/(t^2-2t-3)? State any excluded values

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

Answer:

<em>Solution; - 4 / t + 1</em>

Step-by-step explanation:

See procedure below;

( 12 - 4t ) / ( t^2 - 2t - 3 ) ⇒ Factor out common term - 4 in 12 - 4t,

- 4 * ( t - 3 ) / ( t^2 - 2t - 3 ) ⇒ Break bottom expression into groups,

- 4 * ( t - 3 ) / ( t^2 + t ) + ( - 3t - 3  ) ⇒ Factor out t from t^2 + t,

- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3t - 3 ) ⇒ Factor out - 3 from - 3t - 3,

- 4 * ( t - 3 ) / t * ( t + 1 ) + ( - 3 * ( t + 1 ) ) ⇒ Factor out common term t + 1,

- 4 * ( t - 3 ) / ( t + 1 ) * ( t - 3 ) ⇒ Cancel out like term t - 3,

<em>Solution; - 4 / t + 1</em>

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Suppose that P(A)=0.5, P(B)= 0.4 and P(B/A) =0.6. Find each of the following.
Lady_Fox [76]

Part (a)

P(A) = 0.5

P(B) = 0.4

P(B/A) = 0.6

P(A and B) = P(A)*P(B/A)

P(A and B) = 0.5*0.6

P(A and B) = 0.3

<h3>Answer: 0.3</h3>

==========================================

Part (b)

We'll use the result from part (a)

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.5 + 0.4 - 0.3

P(A or B) = 0.6

<h3>Answer: 0.6</h3>

===========================================

Part (c)

A and B are not independent since P(B) does not equal P(B/A). The fact that event A happens changes the probability P(B). Recall that P(B/A) means "probability P(B) based on event A already happened". A and B are independent if P(B) = P(B/A).

Events A and B are not mutually exclusive since P(A or B) is not zero.

<h3>Answer: Neither</h3>
7 0
3 years ago
1
otez555 [7]

Answer:

20°

Step-by-step explanation:

arc \: length =  \frac{ \theta}{360 \degree}  \times circumference \\  \\  \frac{1}{3}  =  \frac{ \theta}{360 \degree}   \times 6 \\  \\  \theta =  \frac{360 \degree}{18}  \\  \\ \theta =20 \degree

8 0
3 years ago
Answer all for points
IceJOKER [234]

Answer:

1. If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

2. We need 100 sections.

I used metric conversion to convert km to meters.

3. 230 mL  of lemonade per person

I used metric conversion to convert L to ML

Step-by-step explanation:

1.  250 mL  = 1 glass

We are drinking 8 glasses

8 glasses * 250 ml/ 1 glass = 2000 mL

1 L = 1000 mL

2000 mL * 1 L/1000 mL =2 L

If we drink 8 glasses, we are drinking 2 L of water, so we are exceeding 1 L of water per day.

I used metric convertsion to convert mL to liters.

Guardrails sections to be 5m long

Road length that needs a guardrail is .5 km.  We need to convert this to meters  1000 m = 1 km

.5km * 1000m / 1km = 500 meters

We have 500 meters that needs guardrails.

500 meters * 1 section/ 5 meters = 100 sections

We need 100 sections.

I used metric conversion to convert km to meters.


3.  6.9 L of lemonade to serve 30 people.  We want to serve ml

Convert L to mL

1L = 1000 ML

6.9 L * 1000 ml/1L = 6900 mL

We need to divide 6900 Ml by 30 people

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I used metric conversion to convert L to ML


5 0
4 years ago
What are the terms of 12x^2
alexandr402 [8]

The terms of 12x^2=36=6

6 0
4 years ago
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inn [45]

Answer:

c

Step-by-step explanation:

4 times 2 is 8. 3 and 3 times -4 is -12

8 minus -12 is negative 4

7 0
3 years ago
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