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3 years ago

Simplify the expressions. Show your work.

Mathematics

1 answer:

Hunter-Best [27]3 years ago

5 0

7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36

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2 years ago

Will give Brain!! To this

Mamont248 [21]

Answer: 13.2

Step-by-step explanation:

the ratio between the given measurements (11 and 5) is 2.2 [5 x 2.2 = 11]

so, i just multiplied 6 by 2.2 , which equals 13.2 .

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2 years ago

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2 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

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Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

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$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$

92% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.08} = \pm 1.645$

Putting the values, we get:

$0.74\pm 1.645(\sqrt{\dfrac{0.74(1-0.74)}{500}}) = 0.74\pm 0.0322\\\\=(0.7078,0.7722)$

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