Answer:
Incorrect
Step-by-step explanation:
We are given the equation:
Add both sides by 9.
When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.
If c ≥ 0, the equation has solutions.
If c < 0, the equation does not have solutions.
Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.
From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.
Hence, the equation does have a solution!
Answer:
2^0+2^1+2^2+...+2^49
Step-by-step explanation:
1=2^0
2=2^1
4=2^2
8=2^3
and so on
Answer: 12
Step-by-step explanation:
2x + 8 = 3x - 4
In order to solve for x, we must isolate x. We can do this by moving all of the numbers with "x" in it to the left side of the equal side, and move everything else to the right of it!
Let's start off by subtracting 8 from both sides. Remember : what you do to one side, you must do it to the other.
2x + 8 - 8 = 3x - 4 - 8
Simplify!
2x = 3x - 12
Now, let's subtract 3x from both sides.
2x - 3x = 3x - 12 - 3x
Simplify!
-x = -12
Divide both sides by -1.
-x ÷ -1 = -12 ÷ -1
Simplify.
x = 12
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.
