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2 years ago

Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .

1 answer:

6 0

There is one last step after getting x = 3. You must check x = 3 in the original equation to be sure that x = 3 does not cause a zero denominator.

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Kai left her mansion and walked 7 miles south. Then, she turned and walked 5 miles to the east. How far is Kai from home?

Alexandra [31]

easy 12 miles from home

Step-by-step explanation:

first add 7 +5 to get 12

8 0

2 years ago

The cost to print fliers for the opening of an art show varies directly with the number of copies. If it cost $45 to print 750 c

nika2105 [10]

Answer:

Step-by-step explanation:

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2 years ago

According to an informal poll in Glenview 1/3

Talja [164]

Answer:

Percent form: 41.65%

Fraction form: $\frac{833}{2000}$

Step-by-step explanation:

33% of men support John Smith.

67% of women support John Smith.

Lets say, for instance, that there are 20 polled individuals -- 10 women and 10 men.

However, since 1.5 times as many men voted as women, we have to apply our poll to 15 men and 5 women.

33% of the 15 men makes 5 men who voted for Smith and 10 who did not.

67% of the 5 women makes 3.33 women who voted for Smith and 1.67 who did not.

Add these numbers together.

8.33 total voters were cast for John Smith, while 11.67 were not.

Now, divide 8.33 by 20 and multiply by 100 to obtain a percentage.

$\frac{8.33}{20} \\.4165\\41.65$

41.65% of voters voted for John Smith according to the results of the poll.

7 0

2 years ago

Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian

aev [14]

Answer: The answer is 11 (A)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m

Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

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 zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The width of the interval is:

$W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an $\pi$

Interval A:

9000 viewers.

So the width is

$W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}$

Interval B:

100 viewers

So the width is

$W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}$

Relationship between the widths:

$R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}$

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0

2 years ago