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lesantik [10]
3 years ago
11

Factorise fully 3x-9x^2

Mathematics
1 answer:
artcher [175]3 years ago
6 0

Answer:

3x(1 - 3x)

Step-by-step explanation:

We can factor the expression by using the common factor.

Pull out 3x from the expression.

3x - 9 {x}^{2}  \\ 3x(1 - 3x)

Common Factor is similar to dividing by the term we pull out. When we pull out the term, we divide the whole expression and keep the term out of the expression.

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If an aircraft is present in a certain area, a radar correctly registers its presence with probability 0.99. if it is not presen
pishuonlain [190]

Answer:

A) 0.005

B) 0.001

C)0.0495

Step-by-step explanation:

Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;

P(A) = Probability that an aircraft is present

P(A') = Probability that an aircraft is not present

P(B) = Probability that the radar generates an alarm

P(B') = Probability that the radar doesn't generate an alarm

Thus from what we are given, we have;

P(A) = 0.05

P(A') = 0.95

P(B) = 0.99

P(B') = 0.01

P(B|A') = 0.1

A) Probability of a false alarm will be;

P(A' ∩ B) = P(A) × P(B|A')

P(A' ∩ B) = 0.05 × 0.1 = 0.005

B) probability of missed detection is;

0.1 × (1 - 0.99) = 0.001

C) probability that an aircraft is present given that the radar registers a presence will be;

P(A ∩ B) = P(A) × P(B)

P(A ∩ B) = 0.05 × 0.99

P(A ∩ B) = 0.0495

5 0
3 years ago
Determine if 75 is rational or irrational and give a reason for your answer.
Fynjy0 [20]

Answer:

Step-by-step explanation:

The number 75 is a rational number. It is the resulting quotient when the integer 75 is divided by 1.

3 0
3 years ago
Read 2 more answers
You typically buy all of your groceries at Grocery Mart. This week, your
icang [17]

Answer:

I gave you the answer

Step-by-step explanation:

I hope

5 0
3 years ago
-3r²+11t-6 factoring trinomials
IgorC [24]
- (3r squared - 11t + 6)
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3 years ago
Help<br> _<br> _<br> _<br> _<br> __<br><br> _<br><br><br> __<br><br> -bv
lorasvet [3.4K]
ANSWER:
7 x 6 - 4

Hope it helps u!
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3 years ago
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