Answer:
m=-8/3
Step-by-step explanation:
1/m+4=3/4
cross multiply over the equal sign
1×4=3(m+4)
4=3m+12
combine the like terms
4-12=3m
-8=3m
divide by 3
-8/3=3m/3
m=-8/3
If I understand the question correctly, 3:4 and 12:16 are equivalent ratios.
Answer:
Mean 105
Standard deviation 1.89
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
In this problem, we have that:
If the sample size is n 81, find the mean and standard deviation of the distribution of sample means.
By the Central limit theorem
mean 105
Standard deviation
Given:
The equation is:
To find:
The graph of the given equation.
Solution:
Point slope form of a line is:
...(i)
We have,
...(ii)
On comparing (i) and (ii), we get
It means, slope of the line is and it passes through the point (5,5).
Putting x=2 in the given equation, we get
The line passes through the point (2,1). Plot the points (2,1) and (5,5) on a coordinate plane and connect them by a free hand curve as shown below.
Steps to solve:
3(5x - 8) = 6x + 39
~Distribute left side
15x - 24 = 6x + 39
~Add 24 to both sides
15x = 6x + 63
~Subtract 6x to both sides
9x = 63
~Divide 9 to both sides
x = 7
Best of Luck!