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GalinKa [24]
1 year ago
10

Match the expression to its simplified form.

Mathematics
1 answer:
kirill115 [55]1 year ago
8 0
5^-2=1/5^2=1/25
2^-4=1/2^4=1/16
5^3=5*5*5=125
2^5=2*2*2*2*2=32

Hope this helped :)
You might be interested in
A fair coin is tossed repeatedly with results Y0, Y1, Y2, . . . that are 0 or 1 with probability 1/2 each. For n ≥ 1 let Xn = Yn
Gekata [30.6K]

Answer:

False. See te explanation an counter example below.

Step-by-step explanation:

For this case we need to find:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =P(X_{n+1}=j |X_n =i) for all i,i',j and for X_n in the Markov Chain assumed. If we proof this then we have a Markov Chain

For example if we assume that j=2, i=1, i'=0 then we have this:

P(X_{n+1} = | X_n =i, X_{n-1}=i') =\frac{1}{2}

Because we can only have j=2, i=1, i'=0 if we have this:

Y_{n+1}=1 , Y_n= 1, Y_{n-1}=0, Y_{n-2}=0, from definition given X_n = Y_n + Y_{n-1}

With i=1, i'=0 we have that Y_n =1 , Y_{n-1}=0, Y_{n-2}=0

So based on these conditions Y_{n+1} would be 1 with probability 1/2 from the definition.

If we find a counter example when the probability is not satisfied we can proof that we don't have a Markov Chain.

Let's assume that j=2, i=1, i'=2 for this case in order to satisfy the definition then Y_n =0, Y_{n-1}=1, Y_{n-2}=1

But on this case that means X_{n+1}\neq 2 and on this case the probability P(X_{n+1}=j| X_n =i, X_{n-1}=i')= 0, so we have a counter example and we have that:

P(X_{n+1} =j| X_n =i, X_{n-1}=i') \neq P(X_{n+1} =j | X_n =i) for all i,i', j so then we can conclude that we don't have a Markov chain for this case.

6 0
2 years ago
HELPPPPP PLEASDEEEEEEEE!!!!!!!!!!!!!
Sedaia [141]

Answer:

Amount paid more than the loan=$212,123.2

5 0
3 years ago
Solve the simultaneous equations<br> -x + 4y = 12<br> x + y = - 7
blondinia [14]

Answer:

y = 1, x = - 8

or

(-8, 1)

Step-by-step explanation:

-x + 4y = 12

x + y = -7

add the equations together

0x + 5y = 5

5y = 5

y = 1

substitute y for 1 in one of the original equations to find x

x + y = -7

x + 1 = -7

x + 1 - 1 = - 7 - 1

x = - 7 - 1

x = -8

7 0
3 years ago
PLEASE HELP!!
Stolb23 [73]

Answer:

27 quarters and 37 nickels

Step-by-step explanation:

Nickels are 5¢

Quarters are 25¢

$8.60 is 172 nickels (860/5)

$8.60 is 34.4 quarters (860/25)

So then let's split it half-and-half.

425 and 435

425 would become 17 quarters.

435 would become 87 nickels.

This is still too much.

Now let's try 700 and 160.

700 would become 28 quarters

160 would become 32 nickels.

28+32=60.

This is a lot closer.

So now 27 quarters and 37 nickels. This works.

7 0
2 years ago
How many times does 67 go into 12
vladimir1956 [14]

Answer:

.180

Step-by-step explanation:

use a calculater

3 0
3 years ago
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