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3 years ago

2x(3x - 2) + (3x - 2)let's writefollowing expression as product of their factor.

Mathematics

2 answers:

timama [110]3 years ago

8 0

Answer:

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

Step-by-step explanation:

Given

2x(3x - 2) + (3x - 2) ← factor out (3x - 2) from each term

= (3x - 2)(2x + 1) ← as a product of factors

Morgarella [4.7K]3 years ago

5 0

Answer:

6 x ^2 − x − 2

Step-by-step explanation:

Remove parentheses.

2 x ( 3 x − 2 ) + 3 x − 2

Simplify each term.

6 x ^2 − 4 x + 3 x − 2

Add − 4 x and 3 x .

6 x ^2 − x − 2

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In a random sample of 400 residents of Boston, 320 residents indicated that they voted for Obama in the last presidential electi

coldgirl [10]

Answer:

C.I = 0.7608 ≤ p ≤ 0.8392

Step-by-step explanation:

Given that:

Let consider a random sample n = 400 candidates where 320 residents indicated that they voted for Obama

probability $\hat p = \dfrac{320}{400}$

= 0.8

Level of significance ∝ = 100 -95%

= 5%

= 0.05

The objective is to develop a 95% confidence interval estimate for the proportion of all Boston residents who voted for Obama.

The confidence internal can be computed as:

$=\hat p \pm Z_{\alpha/2} \sqrt{\dfrac{ p(1-p)}{n } }$

where;

$Z_{0.05/2}$ = $Z_{0.025}$ = 1.960

SO;

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(1-0.8)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.8(0.2)}{400 } }$

$=0.8 \pm 1.960 \sqrt{\dfrac{ 0.16}{400 } }$

$=0.8 \pm 1.960 \sqrt{4 \times 10^{-4}}$

$=0.8 \pm 1.960 \times 0.02}$

$=0.8 \pm 0.0392$

= 0.8 - 0.0392 OR 0.8 + 0.0392

= 0.7608 OR 0.8392

Thus; C.I = 0.7608 ≤ p ≤ 0.8392

3 0

3 years ago

1 quart is equal to 4 cups given this fact what is 8 quarts equivalent to in cups

SVETLANKA909090 [29]

8 quarts is equal to 32 cups :)

5 0

3 years ago

farouk scored 110% in his last mathematics test.Explain how this is possible.Give an actual mark allocations that will prove you

irakobra [83]

Answer:

Grades higher than 100% can be achieved by doing extra credit and/or answering bonus questions.

hope this helps! :)

8 0

3 years ago

What is the measure of X?

AnnZ [28]

Answer:

A. 25.7°

Step-by-step explanation:

the sum of straight angle is 180°.

so, i subtract 154.3 from 180.

i get 25.7 °

3 0

3 years ago

Reduce to lowest terms. 3m^2-3n^2/6m-6n A) -m-n/2 B) m-n/2 C) m+n/2

USPshnik [31]

Answer:

C. m+n/2

Step-by-step explanation:

Factor out the 3 in the numerator and apply the difference of squares, factor out the 6 in the denominator, and reduce where applicable. It'll all cone out to look like option C.

6 0

4 years ago

Read 2 more answers

2x(3x - 2) + (3x - 2)let's writefollowing expression as product of their factor.​

2x(3x - 2) + (3x - 2)let's writefollowing expression as product of their factor.