Answer:
The 99% confidence interval for the mean loss in value per home is between $5359 and $13463
Step-by-step explanation:
We are in posession of the sample's standard deviation, so we use the student's t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 45 - 1 = 44
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 44 degrees of freedom(y-axis) and a confidence level of ![1 - \frac{1 - 0.99}{2} = 0.995([tex]t_{995}](https://tex.z-dn.net/?f=1%20-%20%5Cfrac%7B1%20-%200.99%7D%7B2%7D%20%3D%200.995%28%5Btex%5Dt_%7B995%7D)
). So we have T = 2.6923
The margin of error is:
M = T*s = 1505*2.6923 = 4052.
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 9411 - 4052 = $5359
The upper end of the interval is the sample mean added to M. So it is 9411 + 4052 = $13463
The 99% confidence interval for the mean loss in value per home is between $5359 and $13463
Not sure what pt means
the other unts are all liquid measures and cm is a measure in legnth
8oz=1 pound so
40/8=pound=5
40oz=5lb
1000ml=L
1500/1000=1.5L
1500ml=1.5L
1L=1.056qt
1.056 times 12=12.68
12L=12.68qt
Answer:
19/5
Step-by-step explanation:
5x+1=20
5x=20-1
5x=19
x=19/5
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
Rate of change = 9
Answer:
C
Step-by-step explanation:
The vertical asymptote occurs at x=6. Hence denominator of the fraction should be x-6. Hence it is C
