You would just subtract 5 from both sides of the equation. The sign does not flip because you are not multiplying or dividing any negative number across the sign. So simply x+5 (-5) < 6 (-5). On the left side the 5 would cancel out. on the other side 6-5 is equal to 1.

Answer: x<1

3 0

2 years ago

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Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa

KonstantinChe [14]

16/3(5.33) is irrational and 5.3 is rational.

6 0

3 years ago

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The first row of a theater has 16 seats. There are 3 more seats in each row thereafter. How many seats are in the 25th row/

inessss [21]

Answer: 88

Step-by-step explanation:

Given

The first row has 16 seats

then there are 3 more seats in each row

this follows an AP with the first term $a=16$ and common difference $d=3$

So, no of seats in the 25 th row is

$\Rightarrow a_{25}=a+24d\\\Rightarrow a_{25}=16+3\times 24\\\Rightarrow a_{25}=88$

Thus, there are 88 seats in the 25 th row

8 0

3 years ago

A state vector X for a four-state Markov chain is such that the system is four times as likely to be in state 2 as in 4, is not

Marizza181 [45]

All the components in the state vector need to sum to 1. You're given that component corresponding to state 1 is 0.2, and that the component for state 3 is 0.

That leaves states 2 and 4, for which you're told that the component for state 2 is four times as large. If $x_i$ is the component for state $i$ , then you have

$x_1+x_2+x_3+x_4=1\iff 0.2+4x_4+0+x_4=1\implies5x_4=0.8\implies x_4=0.16$

which means $x_2=4x_4=0.64$ . So the state vector is $\mathbf x=(0.2,0.64,0,0.16)$ .

4 0

3 years ago