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3 years ago

(e^x - e^-x)/(2) = 5

Mathematics

1 answer:

Maksim231197 [3]3 years ago

4 0

E^x = 5 + √26
<span>x = ln (5 + √26)</span>

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Refer to the random sample of customer order totals with an average of $78.25 and a population standard deviation of $22.50. a.

zysi [14]

Answer:

a) $78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

b) $78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

c) For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

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

Solving for n we got:

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

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

Step-by-step explanation:

Part a

For this case we have the following data given

$\bar X = 78.25$ represent the sample mean for the customer order totals

$\sigma =22.50$ represent the population deviation

$n= 40$ represent the sample size selected

The confidence level is 90% or 0.90 and the significance level would be $\alpha=0.1$ and $\alpha/2 = 0.05$ and the critical value from the normal standard distirbution would be given by:

$z_{\alpha/2}=1.64$

And the confidence interval is given by:

$\bar X -z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

Part b

The sample size is now n = 75, but the same confidence so the new interval would be:

$78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

Part c

For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

Part d

The margin of error is given by:

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

Solving for n we got:

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

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

3 0

3 years ago

What is 44.2 rounded to the nearest whole number?

tatuchka [14]

44 is the number rounded

5 0

3 years ago

Read 2 more answers

No clue how to do this

andreev551 [17]

B is your awnser! sorry if im wrong my calc shows its without a - symbol

7 0

3 years ago

What is a equation in slope intercept form for a line that passes through (5,4) and has a slope of -5

liubo4ka [24]

Answer:

Step-by-step explanation:

The easiest way to complete this is too use this data and put it into point-slope form. This is written as, y-y1=m(x-x1)

In this equation y1 is the y- coordinate of your point and x1 is the x-coordinate. M in this case would also be known as the slope.

Now we can submit our data-----

y-4=-5(x-5) -------- simplify

y-4=-5x+25 --------

y=-5x+28

6 0

4 years ago

Graph the inequality. x + 2y > 4

zalisa [80]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x+2y > 4$

Isolate the variable y

subtract x both sides

$2y > -x+4$

Divide by 2 both sides

$y > -\frac{1}{2}x+2$

The solution of the inequality is the shaded area above the dashed line

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

The slope of the dashed line is negative

The y-intercept of the dashed line is (0,2)

The x-intercept of the dashed line is (4,0)

therefore

The graph in the attached figure

6 0

3 years ago