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kiruha [24]
2 years ago
13

A con is tossed n times. How many difference sequences of head and tails can you get?

Mathematics
2 answers:
ryzh [129]2 years ago
5 0

Answer:

2^n

Step-by-step explanation:

So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n

I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2

nataly862011 [7]2 years ago
4 0

Answer:

2^n

Step-by-step explanation:

dont worry bout it ur welcome

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The formula for the volume of a sphere is V = Ar3, where Vis the volume
nalin [4]

Answer: 4.7 inches

Step-by-step explanation:

435=4/3(3.14)r³

4 0
3 years ago
Jada purchases a sweater for $36. The store charges her 8% sales tax on the purchase. How much sales tax will the store charge o
dusya [7]

Answer:

Step-by-step explanation:

36/100=0.36 - 1%

8*0.36=2.88$

6 0
2 years ago
A rectangular billboard image is 5 ft wide and 4 ft high. If the available billboard space is 25 ft by 15 ft, what are the dimen
Lapatulllka [165]

Answer:

18¾ ft × 15 ft

Step-by-step explanation:

The dimensions of the billboard are 25 ft by 15 ft.

The dimensions of the image are 5 ft by 4 ft  

Case 1.<em> Expand the length of the image to 25 ft. </em>

We have multiplied the length by five, so we must multiply the width by five.

w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard

by 5 ft.


<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>

We have multiplied the width by 15/4, so we must multiply the length by 15/4.

l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.

The expanded image will be 18¾ ft × 15 ft.

In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.

The pink rectangle represents the dilation of the original image to a width of 15 ft.

5 0
3 years ago
Write the following decimals as fractions.
GaryK [48]

Hi there! Hopefully this helps!

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

<em>0.77</em><em> </em><em>as a </em><u><em>fraction</em></u><em> is </em><u><em>77/100</em></u><em>.</em>

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<em>0.2904 as a </em><u><em>fraction</em></u><em> is </em><u><em>2904⁄10000</em></u><em> </em><u><em>unsimplified</em></u><em>. (Simplified would be </em><u><em>363⁄1250</em></u><em>)</em>

6 0
3 years ago
Read 2 more answers
the ages of John and Mary total 27 years. Mary's age plus twice john's age is 40. how old is each person?
son4ous [18]
So
Jon's age=j
mary age=m


m+j=27
m+2 times j=40
m+2j=40
M+j=27
ssubtract j from both sides
m=27-j
subsitute 27-j for m
27-j+2j=40
27+j=40
subtract 27 fromboth sdies
j=13

subsitue
13+m=27
subtract 13
m=14

mary=14
john=13
4 0
3 years ago
Read 2 more answers
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