The circumference of a circle is<br> 9m<br> What is the area of the circle?

A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21

sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{340119}{10} = 34011.9$

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

$S.D = \sqrt{\frac{2711418821}{9}} = 17357.09$

Confidence interval:

$\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621$

$34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)$

7 0

3 years ago

A company has actual unit demand for four consecutive years of 100, 105, 135, and 150. The respective forecasts were 120 for all

Lubov Fominskaja [6]

Answer:

c. 20

Step-by-step explanation:

Calculation to determine Which of the following is the resulting MAD value that can be computed from this data

Using this formula

MAD= [ABS( Year 1 actual unit demand - Forecast) + ABS (Year 2 actual unit demand - Forecast) + ABS (Year 3 actual unit demand - Forecast) + ABS (Year 4 actual unit demand - Forecast)]/ Number of years

Let plug in the formula

MAD = [ABS(100 - 120) + ABS (105 - 120) + ABS (135 - 120) + ABS (150 - 120)]/4

MAD =(ABS 20) + (ABS 15) + (ABS 15) + (ABS 30)/4

MAD= 80/4

MAD=20

Therefore the resulting MAD value that can be computed from this data is 20

8 0

3 years ago

Find the exact length of the third side.

pychu [463]

Answer:

$24x^{2} +7x^{2} =$