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balandron [24]
3 years ago
6

#3 Solve and graph the inequality: -4+x<-9

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0
Add 4 to both sides
x < -5

Closed circle at x = 5, line points left
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
3 years ago
Convert 3\8 to a decimal and percent
Doss [256]

divide 8 into 3

    0.375

8 | 3.000

    2 4

    -----

       60

       56

       ----

         40

         40

         ----

           0


0.375 is a decimal

times it by 100 to get percent = 37.5 %

(when you times decimals by 100 you simply move the decimal over two places right)

8 0
4 years ago
Read 2 more answers
Write an equation in slope intercept form given the following slope and point M=-3 (6,-9)​
Kitty [74]

Answer:

y = -3x + -9/6

-9/6 simplified as -3/2

5 0
3 years ago
Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side the area of the smaller
horsena [70]

Answer: 20 feet by 20 feet.


Step-by-step explanation:

1. You know that x is the original measure of one side. Since it is a square, all its sides are equal.

2. Therefore, to solve the problem you only need to solve for x, as you can see below:

- You have that:

(a-b)^{2}=a^{2}-2ab+b^{2}

- Then, you obtain the following quadratic equation:

(x-8)^{2} =144\\x^{2}-2(x)(8)+8^{2}=144\\x^{2}-16x-80=0

- Apply the Quadratic formula to solve it:

x=\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}\\a=1\\b=-16\\c=-80

- Then, you obtain:

x_1=20\\x_2=-4

3. The dimensions cannot be negative, therefore, the answer is: 20 feet by 20 feet.


3 0
4 years ago
Read 2 more answers
There were 2100 people on saturday and 4900 on sunday whats the estimated difference of the 2 days
Amiraneli [1.4K]
<span>Since there were 2100 people on saturday and 4900, lets do the math..
#1) Line up the numbers, when it comes to adding it doesn't really matter which goes on the top.
#2) Add or use a calculator for help.
#2b 4900-2100=2800
Thats all!
Hope this help!
@SamSamySamantha
      
</span>

5 0
3 years ago
Read 2 more answers
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