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3 years ago

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3

Mathematics

2 answers:

pishuonlain [190]3 years ago

5 0

Step-by-step explanation:The volume of each cube = (side)^3 = (1/3)^3 = 1/27 cubic units

The number of cubes that will fill the prism =

Vol of prism 4

__________ = _____ = 4 * 27 = 108 cubes

Vol of cube (1/27)

dedylja [7]3 years ago

3 0

Answer:

Step-by-step explanation:

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You flip 3 coins. Is the probability of obtaining 2 heads and 1 tail in any order the same as the probability of obtaining a hea

konstantin123 [22]

Answer:

the probability of obtaining 2 heads and 1 tail in any order is higher than the probability of obtaining a head, than a head then a tail

Step-by-step explanation:

since the probability (p) of obtaining 2 head and 1 tail in any order is

P1 = p of obtaining ( H , H ,T) + p of obtaining ( H , T ,H ) + p of obtaining ( T , H ,H ) = 3*p of obtaining ( H , T ,H)

assuming a fair coin then p heads = p tails = 0.5

thus since each flip is independent from the others

p( H , H ,T)=p( H , T ,H )= p( T , H ,H )= P=0.5*0.5*0.5= 1/8

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while the probability of obtaining a head, than a head then a tail is

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3 years ago

I need help on this question, someone please help!!

Tju [1.3M]

Answer:

y=−x−1/3x−8

Step-by-step explanation:

y=8x−1/3x+1

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

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Now, solve the equation x=8y−1/3y+1 for y.

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3 years ago

Given the line below.

Roman55 [17]

Answer:

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Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,-2) and (2,2)

substitute the values

$m=\frac{2+2}{2+2}=1$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\(x1,y1)=(-2,-2)$

substitute the values in the formula

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