Answer:
Step-by-step explanation:
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
Answer:
<h2>a = 1</h2>
Step-by-step explanation:
Answer:
Step-by-step explanation:
4/3(6y+21)-17=43
move all terms to the left:
4/3(6y+21)-17-(43)=0
Domain of the equation: 3(6y+21)!=0
y∈R
We add all the numbers together, and all the variables
4/3(6y+21)-60=0
You multiply all the terms by the denominator
-60*3(6y+21)+4=0
multiply elements
Answer:
<h3>The standard error of the mean is <u>15</u></h3>
Step-by-step explanation:
Given that a simple random sample of 64 observations was taken from a large population.
Hence it can be written as n=64
The population standard deviation is 120.
It can be written as 
The sample mean was determined to be 320.
It can be written as 
<h3>To find the standard error of the mean :</h3>
The formula for the standard error of the mean is given by
Now substitute the values in the formula we get
<h3>∴ The standard error of the mean is 15</h3>
