Find the distance between the two points. (−2, −5), (3, 5)

Find the average rate of change of the function f(x) = 1/x-2 between the given points x = 4 and x = 8

Sedbober [7]

If f(x) = 1/x - 2, then the average rate of change between x = 4 and x = 8 is

(f (8) - f (4)) / (8 - 4) = ((1/8 - 2) - (1/4 - 2)) / 4 = -1/16

If you meant f(x) = 1/(x - 2), then it would be

(f (8) - f (4)) / (8 - 4) = (1/(8 - 2) - 1/(4 - 2)) / 4 = (1/6 - 1/2) / 4 = -1/12

Make sure to check which one is the correct function!

7 0

2 years ago

RIGHT ANSWER ONLY!

natima [27]

Hey there, Lets solve this step by step

The probability of choosing the shaded region is equal to the fraction of the total area that the shaded region is 18 / 50 .

Formula = Area of unshaded region = Total rectangle Area − Shaded area

Answer = (D)

5 0

3 years ago

If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?

arlik [135]

Answer:

5

Step-by-step explanation:

20/5 = 5/1

so the answer is c

4 0

3 years ago

Read 2 more answers

NarStor, a computer disk drive manufacturer, claims that the median time until failure for their hard drives is more than 14,400

Ne4ueva [31]

Answer:

The test statistics is $t = -1.727$

Step-by-step explanation:

From the question we are told that

The data given is

330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814

The population mean is $\mu = 14400$

The sample size is n = 16

The null hypothesis is $\mu \le 14400$

The alternative hypothesis is $H_a : \mu > 14400$

The sample mean is mathematically evaluated as

$\= x = \frac{\sum x_i}{n}$

So

$\= x = \frac{330+ 620+ 1870 +2410+ 4620+ 6396+ 7822+ 8102+8309+ 12882+ 14419+ 16092+ 18384 +20916+ 23812+ 25814 }{16}$

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

$\sigma =\sqrt{\frac{ \sum (x_i - \=x)^2}{n}}$

So

$\sigma =\sqrt{\frac{(330- 10799.9)^2 + (620- 10799.9)^2+ (1870- 10799.9)^2 +(2410- 10799.9)^2 + (4620- 10799.9)^2 +(6396- 10799.9)^2 +(7822- 10799.9)^2 }{16}} \ ..$

$..\sqrt{ \frac{(8102 - 10799.9)^2 +(8309 - 10799.9)^2 + (12882 - 10799.9)^2 + (14419 - 10799.9)^2 + (16092 - 10799.9)^2 + (18384 - 10799.9)^2 +(20916 - 10799.9)^2 }{16}} \ ...$

$\ ... \sqrt{\frac{(23812 - 10799.9)^2 +(25814 - 10799.9)^2 }{16}}$

=> $\sigma = 8340$

Generally the test statistic is mathematically represented as

$t = \frac{10799.9- 14400}{ \frac{8340}{\sqrt{16} } }$

$t = -1.727$

From the z-table the p-value is

$p-value = P(Z > t) = P(Z > -1.727) = 0.95792$

From the values obtained we see that

$p-value > \alpha$ so we fail to reject the null hypothesis

Which implies that the claim of the NarStor is wrong

5 0

3 years ago

Need help will mark Brainliest

Svetach [21]

Answer:

250 ft.

Step-by-step explanation:

It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

$\frac{375}{300} = \frac{x}{200}$

Now that we have this equation, we can use the butterfly method to solve for x. We cross multiply:

$375*200=300x\\$

Now, all we have to do is isolate the variable to find x:

$75000=300x\\x=250$

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.

I hope this helps! Please let me know if you have any further questions :)

5 0

2 years ago