Reorder the terms: 2n + -5(5 + n) = 8n + 3(1 + -5n) 2n + (5 * -5 + n * -5) = 8n + 3(1 + -5n) 2n + (-25 + -5n) = 8n + 3(1 + -5n) Reorder the terms: -25 + 2n + -5n = 8n + 3(1 + -5n) Combine like terms: 2n + -5n = -3n -25 + -3n = 8n + 3(1 + -5n) -25 + -3n = 8n + (1 * 3 + -5n * 3) -25 + -3n = 8n + (3 + -15n) Reorder the terms: -25 + -3n = 3 + 8n + -15n Combine like terms: 8n + -15n = -7n -25 + -3n = 3 + -7n Solving -25 + -3n = 3 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -25 + -3n + 7n = 3 + -7n + 7n Combine like terms: -3n + 7n = 4n -25 + 4n = 3 + -7n + 7n Combine like terms: -7n + 7n = 0 -25 + 4n = 3 + 0 -25 + 4n = 3 Add '25' to each side of the equation. -25 + 25 + 4n = 3 + 25 Combine like terms: -25 + 25 = 0 0 + 4n = 3 + 25 4n = 3 + 25 Combine like terms: 3 + 25 = 28 4n = 28 Divide each side by '4'. n = 7 Simplifying n = 7
Answer:
d. Cannot be determined with the information provided.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Finding the better relative position:
The score with the better relative position is the one with a higher z-score.
To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.
Answer:
Here's one way to do it.
Step-by-step explanation:
-24 ÷ (-4)
-24 is the final number on the number line
-4 means you count by 4s on the number line moving backwards.
- Start at 0 facing forward.
- Move backwards in steps of four units from 0 to -24.
- Count the number of steps you took (six).
Answer: +6 (The sign is + because you are still facing forward).
7.1 is ten times smaller than 71
Answer:
no. sorry. :(
Step-by-step explanation: