Answer:
x<13
Step-by-step explanation:
1. Move variable [x] to left-hand side and change its sign
Move constant [10] to the right-hand side and change its sign
10>x-3
-x+10>-3-10
2. Calculate the difference [-3-10]
-x>-3-10
-x>-13
3. Change the signs [-x>-13] on both sides of the inequality and flip the inequality sign
x<13
4. Solution
x<13
60 oz
Step-by-step explanation:
Although 60 is the correct answer, you might want to double check because you just used two different systems of measurement in one problem.
Answer:
9x-14
Step-by-step explanation:
7 times 2 is 14, and 5x plus 4x is 9x so it is 9x-14
Step-by-step explanation:
a. The point estimate is the mean, 47 days.
b. The margin of error is the critical value times the standard error.
At 31 degrees of freedom and 98% confidence, t = 2.453.
The margin of error is therefore:
MoE = 2.453 × 10.2 / √32
MoE = 4.42
c. The confidence interval is:
CI = 47 ± 4.42
CI = (42.58, 51.42)
d. We can conclude with 98% confidence that the true mean is between 42.58 days and 51.42 days.
e. We can reduce the margin of error by either increasing the sample size, or using a lower confidence level.