I need help finding the slope with work tho please

Which measure of central tendency is more representative of the typical observation if the graph of the data is skewed to the ri

natta225 [31]

Answer:

Median

Step-by-step explanation:

The measure of central tendency is used to represent an entire group of data with a common single number. There are three types of measure of central tendency, the mean , the median and the mode. Our focus here is on the median because in any skewed dataset, The median is the best form for a skewed type of distribution. The median is the middle number in an ordered set of data.

In a skewed type of distribution, the mode is the highest point of the distribution. In the measure of central tendency, the mean is mostly influenced by the outliers and it is pulled towards to the tail region of the distribution.

4 0

4 years ago

An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

Whay is the answer for 9344 divided by 8

In-s [12.5K]

9344 divided by 8 is 1168.

7 0

4 years ago

Read 2 more answers

In a certain company 72 employees are men, what is the total number employees if 2 out of every 9 are men

Komok [63]

2 out of every 9 are men...so 2/9 of the total employees are men...

2/9x = 72...with x being the total number of employees
x = 72 * 9/2
x = 648/2
x = 324 <== number of employees

8 0

3 years ago

3 3/4 / 2/5 = what? I'm struggling

Soloha48 [4]

Lets convert 3 3/4 into improper fraction first.

$3\frac{3}{4} = \frac{3 \times 4 + 3}{4} \\ = \frac{15}{4}$

$\frac{3\frac{3}{4} }{ \frac{2}{5} } \\ = \frac{15}{4} \div \frac{2}{5} \\ = \frac{15}{4} \times \frac{5}{2} \\ = \frac{75}{6} \\ = \frac{25}{2} \: or12 \frac{1}{2} or \: 12.5$

3 0

3 years ago