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2 years ago

For a given input value x, the function g outputs a value y to satisfy the following equation.

Mathematics

1 answer:

ipn [44]2 years ago

4 0

Answer:

Step-by-step explanation:

we have

Solve for y

That means-----> isolate the variable y

Subtract both sides -2

Divide by -5 both sides

Rewrite

Convert to function notation

Let

g(x)=y

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A local company manufactures netbook computers. Their profit function is given by this equation: y equal minus x to the power of

Westkost [7]

Answer by BlueSky06

The equation described above can also be written as, y = -x² + 100x + 4000To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero. dy/dx = -2x + 100 = 0The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit. y = -(50^2) + 100(50) + 4000 = 6500Thus, the maximum profit that the company makes is $6,500/day.
Read more on Brainly.com - brainly.com/question/3586459#readmore

3 0

2 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

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

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

=> $\= x = 10799.9$

The standard deviation is mathematically represented as

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

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

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

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

=> $\sigma = 8340$

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

2 years ago

Which of these sets of ordered pairs represent a function

GuDViN [60]

Both a and b are functions. for it to be a function, you can only have 1 y value per x value.

this is not a function because 1 has 2 y values
(1,3)(2,5)(1,4)(3,2)

6 0

2 years ago

Read 2 more answers

Identify whether each variable is categorical or continuous.

balandron [24]

Answer:

u33u3373737

Step-by-step explanation:

hheeheheheheheheheheheehehehehebeheheheheheheheheehehe

3 0

3 years ago

HELP ME WITH MATH PLEASEEEEE PLEASE ILL MARK