Answer:
Step-by-step explanation:
12 (x + 2) - 4x = 4 (2x + 11) - 20
12 + 24 - 4x = 8x + 44 - 20
36 - 4x = 8x + 24
36 - 24 = 8x - 4x
12 = 4x
---- ----
4 4
3 = x
-x = -3
x = 3
Answer:
- 20/27
Step-by-step explanation:
- Solve 2m + n = 2 and 3m - 2n = 3 using substitution.
We can use the substitution method to solve linear equations of this form. Let's solve for m & n.
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
Choose one of the equations and solve it for m by isolating m on the left-hand side of the equal sign.
Subtract n from both sides of the equation.
Divide both sides by 2.
Multiply 1/2 times -n+2.
Substitute 
for m in the other equation, 3m-2n=3.
Multiply 3 times .
Add 
to -2n.
Subtract 3 from both sides of the equation.
Divide both sides of the equation by 
, which is the same as multiplying both sides by the reciprocal of the fraction.
Substitute 0 for n in 
. Because the resulting equation contains only one variable, you can solve for m directly.
The system is now solved.
Answer:
B. The histogram appears to roughly approximate a normal distribution. The frequencies generally increase to a maximum and then decrease, and the histogram is symmetric.
Step-by-step explanation:
The Graph of Normal Distribution is like a bell-shaped. Here the value of y is less for the lower value of x and then the value of y is increased for a larger value of x, but after some time value of y is again getting decrease as the value of x increases. For the Histogram to appear to a normal distribution, the graph of histogram must have the same nature. Thus option B is only the correct option.
The histogram is made up of columns bar with no gaps between bars with different labels of numeric data of different heights shows the size of the group of different labels.
