Answer:
100
Step-by-step explanation:
Answer:
0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
Step-by-step explanation:
Probability:
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Arrangments of x elements:
The total number of arrangments of x elements is given by:

Desired outcomes:
Standing in alphabetical order, so only 1 possible outcome, which means that 
Total outcomes:
Arrangments of 5 people, so

Probability:

0.0083 = 0.83% probability that the boys will stand in alphabetical order from left to right in the picture
<span>How to graph {8x +6y=48 2x-3y=-6}
The first thing you should do is to clear "y". Then, you must substitute values of x in the equation to find the values of "y". Finally, graph the points obtained. (see graphic)
</span><span> How do you convert this to slope intercept form?
</span> 8x +6y=48 ---> <span>y = -1.3333x + 8
</span> 2x-3y=-6 ---> <span>y = 0.6667x + 2</span>
1/5(x-2)=1/10(x+6)
Distribute and multiply first
(1/5*x) -(1/5*2)=(1/10*x) +(1/10*6)
1/5x-2/5=1/10x+6/10
We do not have the same denominators on both sides. 5 goes into 10 two times so we will multiply everything on the left by 2 to get a common denominator.
2/10x-4/10=1/10x+6/10
Subtract 1/10x from both sides
1/10x-4/10=6/10
Add 4/10 to both sides
1/10x=10/10
1/10x= 1
Multiply both sides by 10/1 (the fraction inverse) to get rid of the fraction.
(10/1)(1/10x) =(1)(10/1)
x= 10
Check work:
1/5(x-2)=1/10(x+6)
Substitute your answer for x
1/5(10-2)=1/10(10+6)
1/5(8)=1/10(16)
8/5=16/10
Simplify 16/10 by dividing by 2
8/5=8/5
Hope this helps!! :)
A rational number is<em> a number which can be written a ratio of two integers</em>.
In decimal form, a rational number is any number which either <em>terminates </em>or <em>repeats</em> after the decimal point. Since -1.987 terminates after the 7, it <em>is</em> a rational number.