Answer:
0.0313
Step-by-step explanation:
Given that in the shipment of 71 vials, only 13 do not have hairline cracks
Probability of not having a hairline cracks = 
If you randomly select 2 vials from the shipment
(Probability of not having a hairline cracks)' = 
= 
what is the probability that none of the 2 vials have hairline cracks.
i.e 
= 0.183 × 0.171
= 0.0313
Hence, the probability that none of the 2 vials have hairline cracks = 0.0313
The answer would be A and C.
Hope this helps!<3
Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.
<h3>
Answer:</h3>
63.64%
<h3>
Step-by-step explanation:</h3>
7/11 = 7/11 × 100% = (700/11)% ≈ 63.64%
_____
<em>Comment on fractions involving 11</em>
1/11 is the 2-digit repeating decimal 0.09090909...
So, any multiple of 1/11 is a 2-digit repeating decimal with the two digits being the numerator times 9.
Here, we have 7/11, so the 2-digit repeat is 7·9 = 63. That is ...
... 7/11 = 0.63636363...
Answer:
r = 6 m
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
Substitute in what we know
37.68 = 2 * 3.14 * r
37.68 = 6.28 r
Divide each side by 6.28
37.68/6.28 = 6.28 r/6.28
6 = r
