Answer:
$159,750
Step-by-step explanation:
191700=5x+x x=lot
191700/6=31950
x=31950
house=5x
5(31950)
house= 159750
Answer:
The confidence interval at at 99% level of confidence is <em>93.7 ≤ μ ≤ 96.9</em>.<em> </em>
Step-by-step explanation:
Step 1:
We must first determine the z-value at a confidence level of 99%.
Therefore,
99% = 100%(1 - 0.01)
Thus,
α = 0.01
Therefore, the z-value will be
z_(α/2) = z_(0.01/2) = z_0.005 = 2.58
(The z-value is read-off from the z table from the standard normal probabilities.)
Step 2:
We can now write the confidence interval:
X - z_(α/2) [s/√(n)] ≤ μ ≤ X + z_(α/2) [s/√(n)]
95.3 - 2.58(6.5/√(104)) ≤ μ ≤ 95.3 + 2.58(6.5/√(104))
<em>93.7 ≤ μ ≤ 96.9</em>
Therefore, confidence interval is <em>93.7 ≤ μ ≤ 96.9 </em>which means that we are 99% confident that the true mean population lies is at least 93.7 and at most 96.9.
Answer:
-143.4 for 0-5 and -38 for 15-20
Step-by-step explanation:
The work is shown below, x=3. i hope this helps!
In order to divide $306 into the ratio of 9 to 5 to 3, first you have to make each section of the ratio represented by a variable, and put it into an equation.
9x + 5x + 3x = 306
Our next step is to simplify the left side of the equation by combining all of the like terms, the ones that contain variables.
17x = 306
Finally, to solve this equation, you have to divide both sides by 17 to isolate the variable x on the left side of the equation.
x = 18
However, this is not our answer as it isn't in a ratio format and doesn't really make sense. To find our ratio, we have to multiply each of our initial numbers (9, 5, and 3) by our variable, x.
9 * 18 = 162
5 * 18 = 90
3 * 18 = 54
You can verify that these numbers are correct because if you add them together you get 306.
Your final ratio is 162:90:54.
Hope this helps! :)
If you have a separate specific question about pre-tax prices and PMed me the link, I'd be happy to help you.