Answer:
Step-by-step explanation:
Given
Geometry Progression
Required
Calculate the second term
First, we need to write out the formula to calculate the nth term of a GP
For first term: Tn = 500 and n = 1
For fought term: Tn = 32 and n = 4
Substitute 500 for a
Make r^3 the subject
Take cube roots
![\sqrt[3]{r^3} = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)
![r = \sqrt[3]{0.064}](https://tex.z-dn.net/?f=r%20%20%3D%20%5Csqrt%5B3%5D%7B0.064%7D)
Using:
and
<em>Hence, the second term is 200</em>
Answer:
Step-by-step explanation:
Total cost for the three nights
Total_3 = $298.17 + 3*u
Where <em>u </em>represents the unknown fees for a single day
To find the daily cost, we divide the previous equation by three
Daily cost = ($298.17 + 3*u)/3
Daily cost = ($99.39 + u)
So, if we create an inequality for the daily cost
Let x = Daily cost
x > $99.39
She will pay more than $99.39 per night
You plug -x+16 in for y in x+4y=37 to get x after you multiply x+4y=37 by -1.
-x-4(-x+16)=-37
-x+4x-64=-37
3x-64=-37
3x=27
x=9
Then you plug 9 into either equation to get y.
y=-x+16
y=-(9)+16
y=7
x=9 and y=7
Answer:
its b
Step-by-step explanation:
Answer:
z = -0.4.
Step-by-step explanation:
Here's the formula for finding the z-score (a.k.a. standardized normal variable) of one measurement 
of a normal random variable 
:
,
where
is the z-score of this measurement, - is the value of this measurement,
is the mean of the random normal variable, and
is the standard deviation (the square root of variance) of the random normal variable.
Let the length of a trout in this lake be 
inches.
.
, and
.
For this measurement, 
. Apply the formula to get the z-score:
.
