Answer:
540
Step-by-step explanation:
sum of interior angles =(n-4)90
(10-4)90=
6×90=540
Answer:
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.96.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days
The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.
Read it carefully. It's telling you the answer in the problem! There is one teacher for every 11 students. Of course there are more students!
Answer:
f(-1) = -1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 1 - x² + x³
f(-1) is <em>x</em> = -1 for the function f(x)
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em> [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³
- Exponents: f(-1) = 1 - 1 - 1
- Subtract: f(-1) = -1
Answer:
- 168.25 ft
- 3.125 s
Step-by-step explanation:
It is almost too easy to let a graphing calculator show you the solution. (See attached)
_____
You may be expected to use some actual algebra (or even calculus) to find the solution.
If you've spent any time with quadratics, you know the vertex of ax²+bx+c is located at x=-b/(2a). Here, that means the time to get to the highest point is ...
... t = -100/(2·(-16)) = 100/32 = 3.125 . . . . seconds
Then the highest point is ...
... h(3.125) = -16·3.125² +100·3.125 +12 = 168.25 . . . . feet
_____
Or, you can put the equation into vertex form.
... h(t) = -16t² +100t +12
... = -16(t² +6.25t) +12
... = -16(t² +6.25t +3.125²) +12 +16·3.125² . . . . . add the square of half the t coefficient inside parentheses; add the opposite of the same amount outside parentheses
... = -16(t +3.125)² +168.25 . . . . . simplify
This tells us the peak of the travel of the bullet is at 168.25 ft after 3.125 seconds.