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3 years ago

Rounded to the nearest thousandth, what is the decimal equivalent of 6 7/9%?

1 answer:

6 0

6 7/9 written in decimal form is equal to 6.777.
6.777 divided by 100 will give 0.06777. To write a number to the nearest thousand, you will have to round up or round down the last three figures in the number. You will round the number up if it up to 500 and above, you will round the number down if its below 500. In our case, we are dealing with a number that have decimal point and so we have to round the last three figure up because it is more than .500. So our answer will be 0.068 to the nearest thousand.

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Slope Intercept Form And Equations From Graphs

r-ruslan [8.4K]

Answer:

1. Choice B

2. Choice C

3. X=-2

4. Choice A

5. y = 5/2 x + 5

Step-by-step explanation:

the slope is down 3 over 2 m =-3/2

point slope form

y-y1= m (x-x1)

y-y1 = -3/2 (x-x1)

Choice B

2. (-3,-1) (1/2,2)

slope = (y2-y1)/(x2-x1)

m=(2--1)/(1/2--3) = (2+1)/(1/2+3) = 3/(3.5) = multiply top and bottom by 2

m = 6/7

point slope form

y-y1 = m(x-x1)

y--1 = 6/7 (x--3)

y+1 =6/7 (x+3)

multiply by 7

7y+7 = 6(x+3)

7y+7 = 6x+18

subtract 7y from each side

7 = 6x-7y+18

subtract 18 from each side

-11=6x-7y

Choice C

3. x=-2

This is a vertical line, the value of x never changes

4. (-1,2) (1,-4)

slope =(y2-y1)/(x2-x1)

= (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3

point slope form

y-y1 = m(x-x1)

y-2 = -3(x--1)

y-2 = -3(x+1)

y-2 = -3x-3

add 2 to each side

y = -3x-1

Choice A

5. (-2,0) (0,5)

the y intercept is 5

slope is change in y over change in x

slope =(y2-y1)/(x2-x1) = (0-5)/(-2-0) = -5/-2 = 5/2

slope intercept form

y= mx+b

y = 5/2 x + 5

7 0

3 years ago

The Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150

tiny-mole [99]

Answer:

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

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 Corporate Lawyer, a magazine for corporate lawyers, reported that out of 200 firms with employee stock ownership plans, 150 indicated that the primary reason for setting up the plan was tax related.

This means that $n = 200, \pi = \frac{150}{200} = 0.75$

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.}{2} = 0.975$ , so $Z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 - 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.6996$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.75 + 1.645\sqrt{\frac{0.75*0.25}{200}} = 0.8004$

As percent:

0.6996*100% = 69.96%

0.8004*100% = 80.04%.

The 90% confidence interval for the population proportion of all such firms with this as the primary motivation is (69.96%, 80.04%).

6 0

3 years ago

At 1:00 p.m. u have 24 megabytes of a movie. At 1:15 p.m. u have 96 megabytes. What is the downloads rate in megabytes per minut

guajiro [1.7K]

Answer:

I believe it is 4.8

Step-by-step explanation:

96-24= 72

72/15 minutes= 4.8

5 0

2 years ago

Help please i need help asap

hram777 [196]

What do you need help with? you have nothing here to answer

3 0

3 years ago

Please help me answer this !

liberstina [14]

Answer:

$y = -\frac{1}{2}x + 4$

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2}$

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

$y = -\frac{1}{2}x + 4$

3 0

2 years ago