Answer:
The standard error is 11.
Step-by-step explanation:
Given : If the standard deviation of a normally distributed population is 22.0 and we take a sample of size 4.
To find : The standard error ?
Solution :
The standard error formula is
Where, 
is the standard deviation of a normally distributed population
n=4 is the sample size
Substitute the value,
Therefore, the standard error is 11.
Answer:
x = 6.00 $/kg ----> almond
y = 3.5 $/kg ------> nut
Step-by-step explanation:
To find the price per kg of each product you first write the algebraic equations for the given relations:
x : price per kg of almond
y: price per kg of nut
Then, you have:
5x + 4y = 44.00 (1)
8x + 6y = 69.00 (2)
By using substitution you have from (1):
y = (44.00-5x)/(4) = 11.00 - (5/4)x
you replace this expression for y into (2):
8x+6[11.00-(5/4)x] = 69.00
8x+66.00-(15/2)x = 69.00
8x-(15/2)x = 69.00 - 66.00
(1/2)x = 3.00
x = 6.00 $/kg ----> almond
And for nut:
y = 11.00 - (5/4)x = 11.00 - (5/4)(6.00) = 3.5$/kg
y = 3.5 $/kg ------> nut
Answer:
Step-by-step explanation:
![\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%3Da%5E%7Bm-n%7D%5C%5C%5C%5Ca%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D%5C%5C%5C%5C%5Cfrac%7B125t%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A625%2At%5E%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B3%7Dt%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A5%5E%7B4%7D%2At%5E%7B-8%7D%5C%5C%5C%5C%3D5%5E%7B3-%5B-3%5D%2B4%7D%2At%5E%7B-4-8%7D%5C%5C%5C%5C%3D5%5E%7B3%2B3%2B4%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D5%5E%7B10%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B10%7D%7D%7Bt%5E%7B12%7D%7D)
Simplifying
6 + -6x = 5x + -9x + -2
Reorder the terms:
6 + -6x = -2 + 5x + -9x
Combine like terms: 5x + -9x = -4x
6 + -6x = -2 + -4x
Solving
6 + -6x = -2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
6 + -6x + 4x = -2 + -4x + 4x
Combine like terms: -6x + 4x = -2x
6 + -2x = -2 + -4x + 4x
Combine like terms: -4x + 4x = 0
6 + -2x = -2 + 0
6 + -2x = -2
Add '-6' to each side of the equation.
6 + -6 + -2x = -2 + -6
Combine like terms: 6 + -6 = 0
0 + -2x = -2 + -6
-2x = -2 + -6
Combine like terms: -2 + -6 = -8
-2x = -8
Divide each side by '-2'.
x = 4
Simplifying
x = 4
I hope this helps!
Answer:
60 words per minute
Step-by-step explanation:
"per" means "divided by" in this context. When you want "words per minute", it means you want the number of words divided by the corresponding number of minutes:
... (900 words)/(15 minutes) = 60 words/minute
