The probability that all three of the selected vials have hairline cracks = 0.096
Total number of vials in the shipment = 62
Number of vials with hairline cracks = 14
Number of vials without hairline cracks = 48
Three from 62 vials are selected.
So total outcomes = 62C3
Number of possible outcomes for all 3 of selected vials have hairline cracks = 14C3, which is the number of favorable outcomes
Probability that all three of the selected vials have hairline cracks = Number of favorable outcomes/Total outcomes = 14C3/62C3 = 0.096
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= 4 ÷
= 4 ×
=
Hope this helped! Ask me if there's any part of the working you don't understand :)
Hello!
To solve this problem, we will use a system of equations. We will have one number be x and the other y. We will use substitutions to solve for each variable.
x+y=9
x=2y-9
To solve for the two numbers, we need to solve the top equation. The second equation shows that x=2y-9. In the first equation, we can replace 2y-9 for x and solve.
2y-9+y=9
3y-9=9
3y=18
y=6
We now know the value of y. Now we need to find x. We can plug in 6 for y in the second equation to find x.
x=2·6-9
x=12-9
x=3
Just to check, we will plug these two numbers into the first equation.
3+6=9
9=9
Our two numbers are three and six.
I hope this helps!
Answer:
B. 30 ft
Step-by-step explanation:
The ladder is 32 ft long
The angle of elevation of the ladder is 70°
The height (h) of the top of the ladder to the ground is what we are to find.
= sin 70°
h = 32 × sin 70° = 30.07016387 or 30 ft (rounded off to nearest feet)
Answer:
82
I think, not for Shure thou