Sin(a + b) = sin a .cos b + cos a . sin b
Answer:
<u>The standard error of distribution for n = 4 is 5 and for n = 25 is 2.</u>
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Population mean = 72
Standard deviation = 10
Sample₁ = 4
Sample₂ = 25
2. For finding the standard error of the mean, we use the following formula:
Standard error = Standard deviation / √Size of the sample
Standard error for Sample₁ = 10/√4
<u>Standard error for Sample₁ = 10/2 = 5</u>
Now, let's find the standard error for Sample₂
Standard error for Sample₂ = 10/√25
<u>Standard error for Sample₂ = 10/5 = 2</u>
Step-by-step explanation:
Pythagoras' theorem for the smallest one :
= 52
Pythagoras' theorem for the middle one :
= 
+ 
Pythagoras' theorem for the biggest one :
Using the formula before (for 
) it becomes :
16 + 8a = 52 + 36
16+8a = 88
8a = 88-16
8a = 72
a = 9
Verifying :
= 117
The biggest one :
True
Ok, so the quadratic coefient is 1, so great
take 1/2 of the linear coefient and square it
10/2=5, (5)^2=25
add that to both sides
x^2+10x+25=7+25
factor perfect square trionomial
(x+5)^2=32
squaer root both sides
x+5=+/-4√2
minus 5
x=-5+/-4√2
x=-5+4√2 and -5-4√2
There are 60 minutes in one hour.
Divide 60 minutes by 10 minutes.
You get 6. That means you would need 6 recycled bottles to power a washing machine for one hour (that will be awesome if that were the case).
Have an awesome day! :)
