Answer:
$2104.36 fixed expenses
$save 209.71 per month
Step-by-step explanation:
985.64+58.30+(2)(154.00)+180.00+128.40+(4)(55.00)+(684.80/6)+(330.00/3) = 2104.36 monthly expenses
2943.20-2104.36 = 838.84
838.84 x 0.25 = 209.71
Answer:


And the 68% confidence interval is given by (91.1186, 97.2814)
Step-by-step explanation:
For this case we know that mean time that visitors stay at a museum is given by:

The standard deviation is given by:
And the standard error is given by:
And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

We can find the interval like this:

And replacing we got:


And the 68% confidence interval is given by (91.1186, 97.2814)
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.

Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:


Now, we will multiply both fractions as:



Therefore, the 2nd debate was 3 hours long.
Answer:
50.24 units^2
Step-by-step explanation:
Area of circle formula:
r^2
r = 4,
= 3.14
3.14 * (4^2) = 3.14 * 16 = 50.24
Answer:
-2x³ + x² - 3x - 15
Step-by-step explanation:
Simply combine like terms together:
-5x² - 3x - 7 - 2x³ + 6x² - 8
-2x³ + (-5x² + 6x²) - 3x + (-7 - 8)
-2x³ + x² - 3x + (-7 - 8)
-2x³ + x² - 3x - 15