Hello there! The answer to your question is a = 4.
To solve for a in the equation -4 + 4a = 12 you want to isolate, or separate, a from all of the equation's other values.
Our first step is to add 4 to both sides so the 4 cancels out on the left side.
-4+4 + 4a = 12+4
4a = 16
Next, we divide both sides by 4 to finish isolating a.
4/4a = 16/4
a = 4
Want to verify that this is correct? Place the value we found for a (4) into the equation in place of a and if it comes out as a true statement, the answer is correct.
-4 + 4(4) = 12
-4 + 16 = 12
12 = 12
Since 12 is in fact equal to 12, i can guarantee you that i have provided you with the correct answer. I hope this helps & have a great rest of your day! :)
Answer:
87.29%
Step-by-step explanation:
Given: Mean= 68.8 inches
Standard deviation= 2.8 inches
Now, finding the percent of the men in the sample were greater than 72 inches.
We know, z-score= 
z-score= 
⇒ z-score= 
∴ z-score= 1.14
Next, using normal distribution table to find percentage.
Coverting 0.8729 into percentage= 
We get the percentage as 87.29%
Hence, 87.29% of the men in the sample were greater than 72 inches.
Answer: x= -9/19
Step-by-step explanation:
5x+18/8=x/4
5x+ 9/4=x/4
5x+9/4-9/4=x/4-9/4
5x= x-9/4
5x(4)=x-9/4(4)
20x=x-9
20x-x=x-9-x
19x=-9
19x/19=-9/19
x=-9/19
Answer:
b = 7, c = -44
Step-by-step explanation:
If the quadratic equation has the solutions -11 and 4, the two factors are:

Since when we use the zero factor property we get
x+11=0 ⇒ x= -11
x-4=0 ⇒ x=4
Thus, we have used the zero factor property in reverse to find the factorization of the quadratic equation.
Now we develop the multiplications between parenthesis:

So b is the number that accompanies the x: b = 7
and c is the independent number: c = -44
Answer:
B
Step-by-step explanation:
The area of the biggest rectangle =

The area of the of the smallest rectangle inside=

Then the area of the shaded region =

So, we choose B.