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4 years ago

6

An unopened cereal box contains `15/28` cubic foot of cereal. If the box is full, and the length and height of the box are `5/7`

and `1(1)/(2)` feet, respectively, what is the width of the box?

1 answer:

VikaD [51]4 years ago

4 0

Answer:

1/2ft

Step-by-step explanation:

15/28=(5/7)(1 1/2)(w)

15/28=(5/7)(3/2)w

15/28=(15/14)w

(15/28)/(15/14)=w

(15/28)*(14/15)=w

w=14/28

w=1/2 ft

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Answer:

See below

Step-by-step explanation:

Step 1.

P = $400

r = 0.04

t = 10 years

n = 12 ( as there are 12 months in a year).

Step 2.

A(10) = 400(1 + 0.04/12)^12^10

= 400 * 1.00333333^120

= $596.33 to the nearest hundredth (answer).

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3 years ago

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What is 578 rounded to the nerist 100?

Maslowich

600,<span>We round the number up to the nearest hundred if the last two digits in the number are 50 or above.</span>

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3 years ago

What is the value of 4y+2y-8 if y=0.5

RUDIKE [14]

Answer:

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4x0.5=2

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3 years ago

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.

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3 years ago

The graph of f(x)=cos(x) is transformed to a new function, g(x) , by stretching it horizontally by a factor of 4 and shifting it

SpyIntel [72]

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The function transformation formula is given by

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b compresses or stretches it horizontally,

c shifts the function left or right

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Substituting these values in the formula, we have,

$g(x)=cos4x+1$

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3 years ago