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3 years ago

14

Which expression is equivalent to the expression shown?

2 answers:

spin [16.1K]3 years ago

6 0

Answer:

7 to the power of 12

Step-by-step explanation:

mixas84 [53]3 years ago

5 0

Answer:

7 to the 12th power. (The last one.)

Step-by-step explanation:

When dividing expressions with the same base you need to subtract the powers. In this case subtract 2 from 14 which makes 12. So your answer will be <u><em>7^12</em></u>.

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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter

VMariaS [17]

Answer:

He must survey 123 adults.

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 level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

The margin of error is:

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

Assume that a recent survey suggests that about 87% of adults have heard of the brand.

This means that $\pi = 0.87$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?

This is n for which M = 0.05. So

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

$0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}$

$0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}$

$\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}$

$(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2$

$n = 122.4$

Rounding up:

He must survey 123 adults.

6 0

3 years ago

Rewrite in simplest rational exponent form √x • 4√x. Show each step of your process.

miss Akunina [59]

$\sqrt{x} * 4\sqrt{x} \\4\sqrt{x * x} \\4\sqrt{x^{2}} \\4x$

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3 years ago

In the triple beam balance, what is the appropriate number of decimal places?

Lyrx [107]

Answer:

Then the correct answer would be to two decimal places. Credit to 25rx0162.

Step-by-step explanation

Hope this helps : )

4 0

3 years ago

Read 2 more answers

What is 68/5 simplified?

GalinKa [24]

Answer:

68/5 is already in the simplest form. It can be written as 13.6 in decimal form (rounded to 6 decimal places)

8 0

3 years ago

A couch and coffee table cost a total of $1044 . The cost of the couch is three times the cost of the coffee table. Find the cos

Irina18 [472]

3x + x = 1044

4x = 1044 - divide both sides by four

x = 261

coffee table - $261
couch - $783

4 0

3 years ago