Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
Answer:
Standard deviation 46.3
Step-by-step explanation:
A 28% of the distribution is equivalent to a z score of -0.5828, you can use a z table to find that.
Z score is calculated as follows:
x is the number being evaluated
μ is the mean
σ is the standard deviation
And it is used to calculate how many standard deviations you are from the mean of the sample.
Replacing with the known information you can calculate the standard deviation:
Answer: 72 u^2
<h3>
Explanation:</h3>
What we know:
- Both triangles are identical
- Both rectangles are different
- There are values in units^2 given
- There are right angles
How to solve:
We need to find the area of at least one of the triangles and double it. Then, we need to find the areas of both rectangles. Finally, we need to add these areas to find the total area. The final area will be represented in units squared (u^2)
<h2>
Process:</h2>
Triangles
Set up equation A = 1/2(bh)
Substitute A = 1/2(4*3)
Simplify A = 1/2(12)
Solve A = 6
Double *2
A = 12 u^2
Rectangles
Set up equation A = lh
Substitute A = (14)(3)
Simplify A = 42 u^2
Set up equation A = lh
Substitute A = [14-(4+4)](3)
Simplify A = (14-8)(3)
Simplify A = (6)(3)
Multiply A = 18 u^2
Total Area
Set up equation A = R1+R2+T
Substitute A = 42 + 18 + 12
Simplify A = 60 + 12
Solve A = 72 u^2
<h3>
Answer: 72 u^2</h3>
