Answer:
x = -11/9
Step-by-step explanation:
3(x-4) + 1 = 12x
Step 1: Use distributive property
3*x - 3*4 + 1 = 12x
3x - 12 + 1 = 12x
Step 2: Combine like terms
3x - 11 = 12x
Step 3: Subtract '3x' from both sides
-11 = 12x - 3x
-11 = 9x
Step 4: Divide both sides by 9
-11/9 = x
Answer:
a translation shifts each point the same distance horizontally and the same distance vertically.
Step-by-step explanation:
Answer:
12e - 32j
Step-by-step explanation:
Simply distribute the 4.
4 (3e) = 12e
4 (-8j) = - 32j
Put it together: 12e - 32j
The z-score corresponding to the actual mean of x = 15.2 can be calculated using the formula: z = (x - mean) / (SD / sqrt(n) ), where n is the sample size.
z = (15.2 - 15) / (1.8/sqrt(87)) = 1.04
Based on a z-table, the probability that z > 1.04 (and thus, the probability that x > 15.2) is 0.1492. This corresponds to a significance value of 1 - 0.1492 = 0.8508. Therefore, if alpha > 0.8508 (for example, 90%, 95%, or 99% confidence interval), then we fail to reject the null hypothesis, and assume that there is no significant difference from the mean.