Answer and Step-by-step explanation:
First of all lets define
X to be that the bags do contain large liquid amounts
+ to be that the test is not negative that is positive
From the question,
P(x) = 3/100 = 0.03
P(+|X) = 0.91
P(+|X′) = 0.05
Probability of bag having a positive test =p(+)
= P(+|X) (P(x)) + P(+|X′)(P(X′))
= P(X′)) = 1 – 0.03 = 0.97
Inserting these values into these formulas
0.91)(0,03) + (0.05)(0.97)
= 0.0273 + 0.0485
= 0.0758
The probability of the randomly selected bag having large liqid amount
= P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)
= 0.0273/0.0273+0.0485
= 0.0273/0.0758
= 0.3602
the probability that this bag does not have large liquid amount
= p(X'|+) = 1 - P(X|+)
= 1 - 0.3602
= 0.6398
6x – 8 = 4 written as a system. Hence second option is correct
<u>Solution:</u>
Given, equation is 6x – 8 = 4.
We have to find the equivalent system from given options.
First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2
Now, let us solve one by one option ,so that when we get above solution, that is correct option.
- y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4
⇒ 6x = 4 ⇒ x ≠ 2, wrong option
- y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
- y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option
hence, second option is correct.
Answer:
I believe the answer is: These scores are more likely to have an effect because of the large sample size
In asking about satisfaction, the data could only come from the life experiences or personal principle of the individuals in the samples. Because of this, the scores would have relatively same effect regardless of the amount of sample size that the researchers use.
Answer:
78
Step-by-step explanation:
5^2 = 25 5^3 = 125 them two added together equals 150
6^2 = 36 so 36 plus 36 equals 72
150-72=78
