Answer:
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Step-by-step explanation:
The conditional probability illustrates that's there's a 2/8 that the event A occurs.
<h3>How to illustrate the probability?</h3>
It should be noted that probability simply means the likelihood of the occurence of an event.
In this case, it can be delivered that P(AID) and P(DIA) aren't equal.
Hence, P(D|A) has event A as its given event, resulting in 2/8 for a probability.
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Answer:
GCF(330, 75, 450, 225) = 15
Steps:
Prime factorization of the numbers:
330 = 2 × 3 × 5 × 11
75 = 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
GCF(330, 75, 450, 225)
= 3 × 5
= 15
<h3><u>4(2x^2 + 3x + 12)</u></h3>
We can factor a 4 out of this expression.
4(2x^2 + 3x + 12)
Now that the expression is simplified, we can see if splitting the middle term is possible.
<em><u>Display factors of 24.</u></em>
1 * 24
-1 * - 24
2 * 12
-2 * -12
3 * 8
-3 * - 8
4 * 6
-4 * -6
All factors of 24 have been listed, and none of these digits satisfy the criteria.
Trinomial cannot be further factored.
Answer: 86.64%
Step-by-step explanation:
Let x be a random variable that represents the diameter of metal samples.
Given : Population mean : 
Standard deviation: 
Specified tolerance on the diameter is 0.75 mm.
i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75
Formula to find the z-score corresponds to x: 
At x= 0.75, 

Using standard normal table for z-value,
P-value : 
∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%