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Bad White [126]
3 years ago
14

Choose the product.

Mathematics
2 answers:
Ivan3 years ago
7 0

Answer:

3 {x}^{3}  -  {x}^{2}  - 5x + 3

Step-by-step explanation:

( 3{x}^{2}  + 2x - 3)(x - 1) \\ 3 {x}^{2} (x) + 2x(x) - 3(x) +  3{x}^{2} ( - 1) + 2x( - 1) - 3( - 1) \\ 3 {x}^{3}  + 2 {x}^{2}  - 3x - 3 {x}^{2}  - 2x + 3 \\  3{x}^{3}   -   {x}^{2}  - 5x + 3

Andru [333]3 years ago
3 0

Answer:

3x 3 - x 2 - 5x + 3

Step-by-step explanation:

To find the products, multiply x by each element of the longer expression 3x 2 + 2x - 3.

Then multiply each element of the longer expression again by -1 and add the results of the two products.

(3x 2 + 2x - 3)(x - 1)

= 3x^3 + 2x^2 - 3x - 3x^2 - 2x +3

Rearrange

= 3x^3 + 2x^2 - 3x^2 - 3x - 2x +3

simplify

= 3x^3 - x^2 - 5x + 3

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-6 + 10a


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2 years ago
Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul
o-na [289]

Answer:

H0:p= 0.80                 H1: p< 0.80  one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80                 H1: p< 0.80  one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237    q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value  does not fall in the critical region  we fail to reject the null hypothesis. There is not sufficient evidence to support  the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z <  -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005  Fail to reject H0.

8 0
3 years ago
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Yuliya22 [10]

Answer:

b

Step-by-step explanation:

the answer is - 11/12

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Answer:

C

Step-by-step explanation:

0.25 liters / 1 liters = 4 glasses

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2 years ago
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Answer:

0.00534138

Step-by-step explanation:

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