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2 years ago

What is the sample space for a 5 sided number cube?

Mathematics

1 answer:

grigory [225]2 years ago

3 0

Answer:

{1, 2, 3, 4, 5}

Step-by-step explanation:

Sample space is the set of all possible outcomes. Supposing that the 5 sided number cube has numbers one to five on its sides, the possible outcomes are the numbers that can be rolled, then its sample space is: {1, 2, 3, 4, 5}

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4) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is

lisov135 [29]

Answer:

l=0.1401P\\

w =0.2801P

where P = perimeter

Step-by-step explanation:

Given that a window is in the form of a rectangle surmounted by a semicircle.

Perimeter of window =2l+\pid/2+w

$P= 2l+3.14 (w/2)+w$

Or $P = 2l+2.57w\\l = \frac{P-2.57w}{2}$

To allow maximum light we must have maximum area

Area = area of rectangle + area of semi circle where rectangle width = diameter of semi circle

$A=lw +\pi \frac{w^2}{8}$

$A=lw +\pi \frac{w^2}{8}\\A=w*\frac{P-2.57w}{2}+0.3925w^2\\2A= Pw-2.57w^2+(0.785w^2)\\2A' = P-5.14w+1.57 w\\2A" =-5.14+1.57$

Hence we get maximum area when i derivative is 0

i.e. $P-5.14w+1.57 w=0\\3.57w =P\\w = \frac{P}{3.57} =0.2801P$

$l = \frac{P-2.57w}{2}\\l = 0.1401P$

Dimensions can be

$l=0.1401P\\w =0.2801P$

5 0

2 years ago

The expression 5 + 5x is equivalent to the expression

poizon [28]

Answer:

5(1+x)

Step-by-step explanation:

7 0

2 years ago

What is 10 months after July

Maksim231197 [3]

May is the 10th month after july

7 0

2 years ago

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The edge length of cube A is two times the edge length of cube B. How many times greater isthe volume of the cube A than the vol

allsm [11]

Answer:

<h2>8 times greater</h2>

Step-by-step explanation:

The formula of a volume of a cube:

$V=a^3$

a - edge length

-----------------------------------

The edge length of cube B is a.

The edge length of cube A is 2a.

Calculate the volumes:

$V_A=(2a)^3=2^3a^3=8a^3\\\\V_B=a^3$

How many times greater is the volume of the cube A than the volume of cube B?

Make the quotient:

$\dfrac{V_A}{V_B}=\dfrac{8a^3}{a^3}=8$

4 0

2 years ago

Evaluate the expression for x = 3, y = 1/3 , and z = 5.<br><br> 12x − 3y / 4x − z

bixtya [17]

Answer:

30.25 in decimal form

30 1/4 in fraction form

Step-by-step explanation:

12(3) − 3(1/3) / 4(3)− (5) = 30.25 or 30 1/4

8 0

2 years ago

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