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kolezko [41]
3 years ago
9

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 d

efense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic elf?
Mathematics
2 answers:
Kruka [31]3 years ago
8 0

Answer:

it is 1/15

Step-by-step explanation:

Salsk061 [2.6K]3 years ago
5 0

Answer:

1/15

Step-by-step explanation:

You have a 1/3 chance of being an elf.

You have a 1/5 change of having the magic tool.

1/3 × 1/5 = 1×1/3×5 = 1/15

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Trick or treat?<br><br> Pls answer ;-;
BARSIC [14]
Treat??

hope this helps lol
3 0
3 years ago
Read 2 more answers
What's is an equation of the line that passes through the point(-3,-1) and is perpendicular to the line x-2y=6
katrin2010 [14]

Answer:

y+1=-2(x+3)

Step-by-step explanation:

Slope is negative reciprocal when two lines are perpendicular

m1=1/2 therefore m2=-2

The equation of the line in point-slope form is given as

y-y_1=m_2(x-x_1)

Here m=-2 and (x1, y1)=(-3, -1)

Therefore,

y+1=-2(x+3)

6 0
3 years ago
Data management probability
Nitella [24]

Answer: Probability theory is a branch of mathematics focusing on the analysis of random phenomena. It is an important skill for data scientists using data affected by chance. With randomness existing everywhere, the use of probability theory allows for the analysis of chance events.

Step-by-step explanation:

3 0
2 years ago
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
AnnyKZ [126]

Answer:

Paasche's Index=  168.63= 169

Step-by-step explanation:

<em><u>Products</u></em>

<em><u>Base-Period                                                    Current Period</u></em>

    Quantities    Mean Shipping                    Quantities    Mean Shipping

     (Year 1)         Cost per Unit ($)                  (Year 5)  Cost per Unit ($)

A         1,500         10.50                         4000                 15.90

B         5,000      16.25                            3000                 33.00

C         6,500        12.20                          8000                  18.40

D          2,500      20.00                         3000                   35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product               pn.qn                      po.qn

A                         15.90* 4000         10.50* 4000

                          = 63600                    =42000

B                       33.00*3000           16.25 * 3000  

                           = 99000                    = 48750

C                      18.40* 8000          12.20 *8000

                            =147200                 =97600

D                     35.50* 3000        20.00*3000  

<u>                           =</u><u>106500              60,000   </u><u>       </u>

<u>∑                          416300                  248350       </u>

<u />

Paasche's Index= ∑ pn.qn/∑po.qn= <u> </u>416300/ 248350 *100  =  1.676=1.68= 168.63= 169

<u />

7 0
3 years ago
How would you determine the axis of symmetry in order to graph x^2 = 8y^2.
Tanya [424]
The picture illustrates the definition. The point P is a typical point on the parabola so that its distance from the directrix, PQ, is equal to its distance from F, PF. The point marked V is special. It is on the perpendicular line from F to the directix. This line is called the axis of symmetry of the parabola or simply the axis of the parabola and the point V is called the vertex of the parabola. The vertex is the point on the parabola closest to the directrix.

Finding the equation of a parabola is quite difficult but under certain cicumstances we may easily find an equation. Let's place the focus and vertex along the y axis with the vertex at the origin. Suppose the focus is at (0,p). Then the directrix, being perpendicular to the axis, is a horizontal line and it must be p units away from V. The directrix then is the line y=-p. Consider a point P with coordinates (x,y) on the parabola and let Q be the point on the directrix such that the line through PQ is perpendicular to the directrix. The distance PF is equal to the distance PQ. Rather than use the distance formula (which involves square roots) we use the square of the distance formula since it is also true that PF2 = PQ2. We get

<span>(x-0)2+(y-p)2 = (y+p)2+(x-x)2. 
x2+(y-p)2 = (y+p)2.</span>If we expand all the terms and simplify, we obtain<span>x2 = 4py.</span>

Although we implied that p was positive in deriving the formula, things work exactly the same if p were negative. That is if the focus lies on the negative y axis and the directrix lies above the x axis the equation of the parabola is

<span>x2 = 4py.</span><span>The graph of the parabola would be the reflection, across the </span>x<span> axis of the parabola in the picture above. A way to describe this is if p > 0, the parabola "opens up" and if p < 0 the parabola "opens down".</span>

Another situation in which it is easy to find the equation of a parabola is when we place the focus on the x axis, the vertex at the origin and the directrix a vertical line parallel to the y axis. In this case, the equation of the parabola comes out to be

<span>y2 = 4px</span><span>where the directrix is the verical line </span>x=-p and the focus is at (p,0). If p > 0, the parabola "opens to the right" and if p < 0 the parabola "opens to the left". The equations we have just established are known as the standard equations of a parabola. A standard equation always implies the vertex is at the origin and the focus is on one of the axes. We refer to such a parabola as a parabola in standard position.

Parabolas in standard positionIn this demonstration we show how changing the value of p changes the shape of the parabola. We also show the focus and the directrix. Initially, we have put the focus on the y axis. You can select on which axis the focus should lie. Also you may select positive or negative values of p. Initially, the values of p are positive. 

5 0
3 years ago
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