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3 years ago

6

Slope-intercept form

1 answer:

ASHA 777 [7]3 years ago

3 0

Y=mx+b is this what you want

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The amount $1.26 is 6% of what price?

swat32

.06x=1.26
x=1.26/.06
x=21

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2 years ago

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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

2 years ago

How many solutions is in x + 5 = 0

Natasha_Volkova [10]

Answer:

1 answer which would be -5+5 which =0

Step-by-step explanation:

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3 years ago

What is the volume of a cylinder with the base radius of 10 units and a height of nine units?

Otrada [13]

Answer:

$V = 2827.43\ units^3$ or $V = 900\pi\ units^3$

Step-by-step explanation:

The volume of a cylinder is calculated by the following formula

$V = \pi r^2 *h$

Where r is the radius of the cylinder and h is the height

In this case we know that the radius r of the base is:

$r=10\ units$

and

$h=9\ units$

So the Volume is:

$V = \pi (10)^2 *9$

$V = 900\pi\ units^3$

$V = 2827.43\ units^3$

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3 years ago

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What is the slope of the line described by the equation –4x + 6y = 12?

tino4ka555 [31]

The slope of the equation is 4

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3 years ago