Answer:
a)S= (1,2,3,4,5,6)
b) 1/6 or 16.67%
c) 1/3 or 33.33%
d) 5/6 or 83.33%
Step-by-step explanation:
a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6
b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it
1/6 or 16.7%
c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%
d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its
1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%
Answer:
No Solution
Step-by-step explanation:
There is no number that can replace x to make the equation true.
<span><u><em>Answer:</em></u>
The difference between successive terms is 10
<u><em>Explanation:</em></u>
To know the factor by which a certain pattern is increasing/decreasing, you need to subtract its successive terms.
If the subtraction gives you 10, this means that the pattern is increasing by 10
<u>Examples:</u>
<u>10, 20, 30, 40, 50, .....</u>
20 - 10 = 10
30 - 20 = 10
40 - 30 = 10
50 - 40 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, this pattern is increasing by 10
<u>37, 47, 57 , .....</u>
47 - 37 = 10
57 - 47 = 10
The difference between each two successive terms is 10. This means that each time we add 10 to the number we have in order to get the next one.
Therefore, the pattern is increasing by 10
Hope this helps :)</span>
1- Solution using graphs:Take a look at the attached images.
The red graph represents the first given function while the blue graph represents the second given function.
We can note that the two graphs are the same line (they overlap).
This means that any chosen point on one of them will satisfy the other.
This means that there are infinite number of solutions to these two equations.
2- Solution using substitution:The first given equation is:
y = -5x + 3 ...........> equation I
The second given equation is:
2y + 10x = 6 ...........> equation II
Substitute with I in II and solve as follows:
2(-5x+3) + 10x = 6
-10x + 6 + 10x = 6
0 = 0
This means that there are infinitely many solutions to the given system of equations.
Hope this helps :)
In 1 gallon there are 3.8 liters