By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
<h3>What is standard deviation?</h3>
Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here given that
The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes
mean=μ=60
standard deviation=σ=15.9
number of sample=n=40
Now we can calculate z by z-score formula as
By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19
To learn more about standard deviation visit :brainly.com/question/12402189
A and D are Experimental
B and C are Theoretical
Experimental has a specific number of trials like the 11 flips or the classroom of students
Theoretical is based on what is ONLY there like C 3 numbers in a 6 sided die are even 3/6 = .5 = 50%
Answer:
x=y=z=90.
Step-by-step explanation:
let the 3 numbers be x,y,z.
let s be sum
s=x+y+z
we need to maximize xy+yz+zx
or , xy + y(270-(x+y))+x(270-(x+y)) = P(x)
Use Lagrange's Multipliers
⇒ΔP= λΔS
⇒
⇒y=x
⇒\frac{x+z}{x+y} =1
⇒z=y
⇒x=y=z
⇒3x = 270
⇒x= 90
hence, x=y=z=90.
So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.
40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed
6400-1200=5200cm^3 of water
(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)
The top one can go by halves, and the bottom one can go by 1's. so for the top 1/2, 1, 1 1/2, 2, and 2 1/2 while the bottom would be 0 1 2 3 4... and so on
