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3 years ago

Which expression is equivalent to (x⁻⁶/x²)³? A. 1/x B. 1/x⁵ C. 1/x⁹ D. 1/x²⁴

Mathematics

1 answer:

vovikov84 [41]3 years ago

8 0

(x⁻⁶/x²)³=(x^-6-2)^3=(x^-8)^3=x^-24=

=1/x²⁴

So the answer is variant D

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6.1cm is the right answer.

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3 years ago

We are studying the proportion of cities that have private garbage collector. We want a maximum error of 0.10 and a 95% confiden

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Answer:

The minimum number of cities we need to contact is 96.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

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So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

In this problem, we have that:

$p = 0.5, M = 0.1$

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$0.1 = 1.96*\sqrt{\frac{0.5*0.5}{n}}$

$0.1\sqrt{n} = 0.98$

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3 years ago

8. Terry, a plumber, worked 9 months out of the year. What percent of the year

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Answer:

25%

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4 years ago

A rectangle has a width of 59 centimeters and a perimeter of 238 centimeters. What is the rectangle's length?

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60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = $\frac{120}{2}$

L = 60

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3 years ago