3x-12= 3x + 7
+12 +12
3x = 3x + 19
-3x -3x
x = 19
Answer:

Step-by-step explanation:
The area
of a triangle is equal to half the product of its length (L) because of its height (h).

The base of the triangles is 
The height of the triangles is 
Then the area of one of the triangles is:

The figure is formed by 12 equal triangles, then the area of the figure
is:

<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2
answer: length of a side of the square = x - 6</span>
Answer: .05
Step-by-step explanation: 3.60 divided by 12: 0.3
5.00 divided by 20: 0.25
0.3-0.25=0.05
Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.