F(-4)= 9*3^(-4)=9/(3^4)=1/9
Answer:
<h3>
Step-by-step explanation:</h3>
The z-value is computed from ...
... z = (x -µ)/σ
... z = (184 -206)/10 = -2.2 . . . . for $184
... z = (200 -206)/10 = -0.6 . . . . for $200
You can look up these values in a normal distribution table, or you can use an appropriate calculator to find the corresponding percentiles.
... -2.2 corresponds to the 1.390 percentile. (That amount of area is below -2.2 standard deviations from the mean.)
... -0.6 corresponds to the 27.425 percentile.
Subtracting the two percentages gives the percentage of expenses between $184 and $200. That number is 26.035% ≈ 26%.
_____
<em>Comment on the calculator display</em>
The difference that got cut off from the display in the attachment is ...
... 0.2603496703
The <em>normalcdf( )</em> function requires a lower limit. Using -8 standard deviations is effectively equivalent to -∞ for this purpose, as any lower number has no effect on the least-significant digits of the result.
Answer:
Step-by-step explanation:
<u>According to sequence we observe:</u>
- the first term is a₁ = 1
- the common ratio is r = 2/7
<u>Equation of nth term of GP:</u>
<u>Substitute to get:</u>
- aₙ = 1*(2/7)ⁿ⁻¹ = (2/7)ⁿ⁻¹
Correct choice is A
Answer:

Step-by-step explanation:
We have the two functions:

And we wish to find:

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

Hence, we can now substitute 3 for f(2):

Now, we can find g(6). Substitute 6 for t for g(t):

Therefore:

Answer:
width =4.5ft
length=6ft
Step-by-step explanation:
w = x
L = 2x-3
area = L*w
27 = x(2x-3)



2x(x+3)-9(x+3)=0
(2x-9)(x+3)=0
2x-9=0
2x=9
x=9/2
x=4.5
L=2x-3=2*4.5-3 =9-3=6