(b) (2x-1)(3x+5)-(2x - 1)(x+4)

Mathematics

2 answers:

QveST [7]4 years ago

8 0

Answer:

4 x^2 - 1, this would be the answer to your question.

almond37 [142]4 years ago

7 0

Answer:

$(2x - 1)(2x + 1)$

$4 {x}^{2} - 1$

Step-by-step explanation:

$(2x - 1)(3x + 5) - (2x - 1)(x + 4)$

$(2x - 1) \times ((3x + 5) - ( \times + 4))$

$(2 \times - 1)(3x + 5 - x - 4)$

$(2x - 1)(2x + 1)$

$4 {x}^{2} - 1$

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The proportion of households in a region that do some or all of their banking on the Internet is 0.31. In a random sample of 100

Alenkasestr [34]

Answer:

Approximate probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is less than 0.0005% .

Step-by-step explanation:

We are given that let X be the number that do some or all of their banking on the Internet.

Also; Mean, $\mu$ = 310/1000 or 0.31 and Standard deviation, $\sigma$ = 14.63/1000 = 0.01463 .

We know that Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

Probability that the number of households that use the Internet for banking in a sample of 1000 is less than or equal to 130 is given by P(X <= 130/1000);

P(X <=0.13) = P( $\frac{X-\mu}{\sigma}$ <= $\frac{0.13-0.31}{0.01463}$ ) = P(Z <= -12.303) = P(Z > 12.303)