Answer:
6
Step-by-step explanation:
Multiplying both sides by 3, we have 12x - 24 = 48. Adding both sides by 24, we have 12x = 72. That means x = 6
Can I have brainliest
Answer:
a
Step-by-step explanation:
Alright, let's take an example. 1 is less than 2, so we can write it as 1<2. However, if we multiplied both sides by -1 without changing anything else, we get -1<-2, but -1 is greater than -2 because it is less negative, so the correct way of writing it would be -1>-2. Therefore, since a number that is less positive than another becomes less negative (and therefore higher) when both are multiplied by -1, we have to change the side of the inequality
Answer: 0.935
Explanation:
Let S = z-score that has a probability of 0.175 to the right.
In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:
P(z ≥ S) = 0.175 (1)
Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.
Nevertheless, we can use the following equation:
P(z ≤ S) + P(z ≥ S) = 1
⇔ P(z ≤ S) = 1 - P(z ≥ S) (2)
Now using equations (1) and (2):
P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175
P(z ≤ S) = 0.825
Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),
P(z ≤ S) = 0.825
⇔ S = 0.935
Hence, the z-score of 0.935 has a probability 0.175 to the right.
