Answer: 27434
Step-by-step explanation:
Given : Total number of vials = 56
Number of vials that do not have hairline cracks = 13
Then, Number of vials that have hairline cracks =56-13=43
Since , order of selection is not mattering here , so we combinations to find the number of ways.
The number of combinations of m thing r things at a time is given by :-

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

Hence, the required number of ways =27434
Answer:
5b+1c=3b+5c
Step-by-step explanation:
Let's use the variable c for the circles and b for the boxes.
The weights are the same on both sides, so count the boxes and circles on each side.
There are 5 boxes and 1 circle on the left side. The left side of the equation says 5b+1c.
There are 3 boxes and 5 circles on the right side. The right side of the equation says 3b+5c.
And since the 2 sides are equal, you split the 2 sides of the equation with =.
5b+1c=3b+5c
36 divided by 0.8 = 45
45 makers will be placed along the route
Answer:
1. YES 2. NO
Step-by-step explanation:
1. Since x=0.121212... and the question is asking for 100x, we need to multiply each side by 100. 0.121212... multiplied by 100 is 12.1212... So YES, 100x is still a repeating decimal.
2. 12.121212... minus 0.121212... would just be 12. This is because if we know that all the numbers behind the decimal point is 0.121212 and so on, 12.121212... minus 0.121212... the numbers behind the decimal would cancel out. So we are left with 12. So NO, the answer for 99x is NOT a repeating decimal.
Answer:
The answer is undefined.
Step-by-step explanation:
The x will never change, no matter what the y is, so the answer will always be undefined.