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wariber [46]
3 years ago
14

A company's sales in Seattle were $330,000 in 2012, while their sales in Portland were $235,000 for the same year. Complete the

following statements: a. Seattle's sales were % larger than Portland's. b. Portland sales were % smaller than Seattle's. c. Portland sales were % of Seattle's. Give answers accurate to at least one decimal place.
Mathematics
1 answer:
barxatty [35]3 years ago
5 0

Answer:

A) Seattle's sales were 40.42% larger than Portland's.

B) Portland sales were 28.79% smaller than Seattle's.

C)  Portland sales were 71.21% of Seattle's.

Step-by-step explanation:

Since a company's sales in Seattle were $ 330,000 in 2012, while their sales in Portland were $ 235,000 for the same year, the following calculations must be performed to complete the sentences:

A)

235,000 = 100

330,000 = X

330,000 x 100 / 235,000 = X

33,000,000 / 235,000 = X

140.42 = X

Seattle's sales were 40.42% larger than Portland's.

B)

330,000 = 100

235,000 = X

235,000 x 100 / 330,000 = X

23,500,000 / 330,000 = X

71.21 = X

100 - 71.21 = 28.79

Portland sales were 28.79% smaller than Seattle's.

C)

330,000 = 100

235,000 = X

235,000 x 100 / 330,000 = X

23,500,000 / 330,000 = X

71.21 = X

Portland sales were 71.21% of Seattle's.

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Anna007 [38]

Answer:

B, y = 4x + 1

Step-by-step explanation:

to get it into y- intercept form we need to write it in the form y = mx + b

-8x = 2 - 2y, move 2y to the other side and -8x to the other side they both become positive.

2y = 8x + 2, dividing each by 2

yields y = 4x + 1

Hope this helps

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3 years ago
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia
gtnhenbr [62]

Answer:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

Step-by-step explanation:

Let's define some notation

\bar X represent the sample mean

\mu population mean (variable of interest)

\sigma=58.2 represent the population standard deviation

n represent the sample size  

ME =1 represent the margin of error desire

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =+1 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance would be \alpha=0.01 and the critical value z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(58.2)}{1})^2 =22546.82 \approx 22547

So the answer for this case would be n=22547 rounded up to the nearest integer

3 0
3 years ago
8. How many ways can a committee of 5 students be chosen from a student council of 30 students? Is the order in which the member
tankabanditka [31]

Answer: A committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

No , the order in which the members of the committee are chosen is not  important.

Step-by-step explanation:

Given : The total number of students in the council = 30

The number of students needed to be chosen = 5

The order in which the members of the committee are chosen does not matter.

So we Combinations (If order matters then we use permutations.)

The number of combinations of to select r things of n things = ^nC_r=\dfrac{n!}{r!(n-r)!}

So the number of ways a committee of 5 students can be chosen from a student council of 30 students=^{30}C_5=\dfrac{30!}{5!(30-5)!}

=\dfrac{30\times29\times28\times27\times26\times25!}{(120)\times25!}=142506

Therefore , a committee of 5 students can be chosen from a student council of 30 students in 142506 ways.

4 0
3 years ago
What is the coordinate of the vertex? Help
Ilya [14]
Answer: (6,-20)

Explanation:
The equation f(x) = -(x-6)^2 - 20 is the same as y = -1(x-6)^2 + (-20)
It is in the form y = a(x-h)^2 + k
The vertex is (h,k) 
In this case, h = 6 and k = -20
So that's why the vertex is (6,-20)
3 0
3 years ago
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