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3 years ago

Jenny reads 5/8 pages in 2/3 minutes what's the unit rate

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

15/16 pages in a minute

Step-by-step explanation:

So to make a unit rate, you have to make the denominator 0. So (5/8)/(2/3) is 5/8*3/2 or 15/16. So that would be 15 pages in 16 minutes or 15/16 pages in a minute.

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Given H(6,7) and I (-7,-6) if point G lies 1/2 of the way long line segment HI, Santiago argues that point G is located at the o

amid [387]

A point that is half way of line segment is the midpoint

Let (6, 7) be (x₁, y₁) and (-7, -6) be (x₂, y₂)

Mid point of HI = ( $\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}$ )
Mid point of HI = ( $\frac{6+-7}{2}, \frac{7+-6}{0})$
Mid point of HI = ( $- \frac{1}{2} , \frac{1}{2}$ )

Santiago's statement is not correct

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3 years ago

What is the greatest common factor of 7ab and 8b^3

Vlad [161]

Answer:

Step-by-step explanation:

The greatest common factor is the largest value two numbers share in common which multiplies to each of the numbers.

7ab has factors 7, a, b

$8b^3$ has factors 2, 4, 8, b, b, b

These share in common b.

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3 years ago

In the ordered pair (2, 3), what is the x-coordinate? y-coordinate?

blagie [28]

Answer:

2 = x- coordinate

3 = y coordinate

Step-by-step explanation:

REMEMBER: In an ordered pair, the x-coordinate always comes first.

3 0

3 years ago

A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.

pav-90 [236]

Answer:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=2.25$ represent the population standard deviation

n represent the sample size

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ The margin of error is given by this formula:

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

And on this case we have that ME =0.35 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 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , replacing into formula (b) we got:

$n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159$

So the answer for this case would be n=159 rounded up to the nearest integer

3 0

3 years ago

The owner of a clothing store borrows $5,000 for 1 year at 14.5% interest. If he pays the loan back at the end of the year, how

oksano4ka [1.4K]

Answer:

Depends on the sort of interest, He could have paid annual interest, compound interest, monthly. If it is annual interest the answer is 5,725$

Step-by-step explanation:

Multiply the initial value by the growth (1.145)

8 0

3 years ago