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Ksivusya [100]
3 years ago
9

Which model represents the factors of 4x²-9?

Mathematics
1 answer:
NeX [460]3 years ago
6 0

Step-by-step explanation:

(

2

x

)

2

−

3

2

=

(

2

x

−

3

)

(

2

x

+

3

)

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What is the simplified equation of 9(x+3)-(2x+5)?
Zanzabum

Answer:

7x-2

Step-by-step explanation:

9(x+3)-(2x+5)

9x+3 -2x -5

7x-2

4 0
3 years ago
20 POINTS PLZ HELP!!!!!!!!!!!!!!!!!!!!
mars1129 [50]

Answer:

a = 15

Step-by-step explanation:

First, you have to combine like terms: 5a and 3a, -5, -15, 6, and 4.

You can do it in any order and you will always get a = 15 for your answer.

Hope this helps!!!

3 0
3 years ago
Read 2 more answers
Consider an experiment where two 6-sided dice are rolled. We can describe the ordered sample space as below where the first coor
agasfer [191]

Answer:

  • E = { (4,1) , (3,2) , (2,3) , (1,4) }
  • P(E)=\frac{1}{9}
  • P(F|E)=\frac{1}{4}

Step-by-step explanation:

Let's start writing the sample space for this experiment :

S= { (1,1) , (1,2) , (1,3) , (1,4) , (1,5) , (1,6) , (2,1) , (2,2) , (2,3) , (2,4) , (2,5) , (2,6) , (3,1) , (3,2) , (3,3) , (3,4) , (3,5) , (3,6) , (4,1) , (4,2) , (4,3) , (4,4) , (4,5) , (4,6) , (5,1) , (5,2) , (5,3) , (5,4) , (5,5) , (5,6) , (6,1) , (6,2) , (6,3) , (6,4) , (6,5) , (6,6) }

Let's also define the event E ⇒

E : '' The sum of the two dice is 5 ''

We can describe the event by listing all the favorables cases from S ⇒

E = { (4,1) , (3,2) , (2,3) , (1,4) }

In order to calculate P(E) we are going to divide all the cases favorables to E over the total cases from S. We can do this because all 36 of these possible outcomes from S are equally likely. ⇒

P(E)=\frac{4}{36}=\frac{1}{9} ⇒

P(E)=\frac{1}{9}

Finally we are going to define the event F ⇒

F : '' The number of the first die is exactly 1 more than the number on the second die ''

⇒

F = { (2,1) , (3,2) , (4,3) , (5,4) , (6,5) }

Now given two events A and B ⇒

P ( A ∩ B ) = P(A,B)

We define the conditional probability as

P(A|B)=\frac{P(A,B)}{P(B)} with P(B)>0

We need to find P(F|E) therefore we can apply the conditional probability equation :

P(F|E)=\frac{P(F,E)}{P(E)}   (I)

We calculate P(E)=\frac{1}{9} at the beginning of the question. We only need P(F,E).

Looking at the sets E and F we find that (3,2) is the unique result which is in both sets. Therefore is 1 result over the 36 possible results. ⇒

P(F,E)=\frac{1}{36}

Replacing both probabilities calculated in (I) :

P(F|E)=\frac{P(F,E)}{P(E)}=\frac{\frac{1}{36}}{\frac{1}{9}}=\frac{1}{4}=0.25

We find out that P(F|E)=\frac{1}{4}=0.25

6 0
3 years ago
Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.
Scrat [10]

Answer:

A. Z=2.06

Step-by-step explanation:

We want to find the Z-score of X=27 if the population mean is \mu=20,and the population standard deviation is \sigma=3.4.

We use the formula:

Z=\frac{X-\mu}{\sigma}

We substitute the values to obtain:

Z=\frac{27-20}{3.4}

Z=\frac{7}{3.4}

Z=2.06

The correct answer is A.

7 0
3 years ago
Solve with all work <br> −4(2 + 9) + 3 = 6 − 4( − 3)
ra1l [238]

Answer:

They do not equal eachother

Step-by-step explanation:

-4(2+9) + 3 = 6 - 4(-3)

-12 - 36 + 3 = 6 + 12

-45 = 18

3 0
2 years ago
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