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sveticcg [70]
3 years ago
9

Find the key features for m [x]=3x^2+13x-30

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
8 0

Answer:

x1= -6 and x2= 5/3

Step-by-step explanation:

good luck

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Given P(A and B) 0.20, P(A) 0.49, and P(B) = 0.41 are events A and B independent or dependent? 1) Dependent 2) Independent
blsea [12.9K]

Answer:  The correct option is (1) Dependent.

Step-by-step explanation:  For two events, we are given the following values of the probabilities :

P(A ∩ B) = 0.20,   P(A) = 0.49   and    P(B) = 0.41.

We are to check whether the events A and B are independent or dependent.

We know that

the two events C and D are said to be independent if the probabilities of their intersection is equal to the product of their probabilities.

That is,  P(C ∩ D) = P(C) × P(D).

For the given two events A and B, we have

P(A)\times P(B)=0.49\times0.41=0.2009\neq P(A\cap B)=0.20\\\\\Rightarrow P(A\cap B)\neq P(A)\times P(B).

Therefore, the probabilities of the intersection of two events A and B is NOT equal to the product of the probabilities of the two events.

Thus, the events A and B are NOT independent. They are dependent events.

Option (1) is CORRECT.

8 0
4 years ago
AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
4 years ago
Which linear inequality is represented by the graph?
omeli [17]

Answer:

Second answer is the correct answer

7 0
3 years ago
If a=2 b=1 find the value of a square minus b square​
Usimov [2.4K]

<em>The answer is 3</em>

a= 2, b=1,

a²-b² = 2²-1²= 4-1 =3

6 0
3 years ago
Select the correct answer.
Bogdan [553]

Answer:

  • C. 044

Step-by-step explanation:

<u>Probability of oil:</u>

  • P(oil) = 45%

<u>Probability of no oil:</u>

  • P(no oil) = 100% - 45% = 55% = 0.55

<u>Probability of testing for no oil:</u>

  • P(test no oil) = 0.55*0.8 = 0.44

Correct choice is C

7 0
3 years ago
Read 2 more answers
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