Answer:
248*a=391
Step-by-step explanation:
A. x²-14x+49; is a polynomial
Step-by-step explanation:
(x-7)² can be written as (x-7)(x-7)
Expanding the expression
x(x-7)-7(x-7)
x²-7x-7x+49
x²-14x+49 ⇒⇒A quadratic function, which is a polynomial of degree 2
This function demonstrates the closer property of multiplication in that the change in order of multiplication does not change the product. This is called commutative property.
(x-7)(x-7)
-7(x-7)+x(x-7)
-7x+49+x²-7x
x²-14x+49
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Polynomials :brainly.com/question/9601478
Keywords : product, closure property of multiplication,
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Answer:
b
Step-by-step explanation: got it right on edge
The figure has already been split into 3 shapes, a rectangle, a trapezium, and a triangle. I will show you how to get the area of each, so we can add it together at the end.
Rectangle:
The rectangle is fairly simple, just multiply 9 and 16 together to get 144 in².
Triangle:
Again, the triangle is pretty simple. The area of a triangle is (base × height)/2, so you do (31 × 20)/2 = 620/2 = 310 in².
Trapezium:
To find the area of a trapezium, you first add the two widths, which are 16 and 31, and then you divide it by 2. You then multiply that value by the height. 16 + 31 = 47, and 47 ÷ 2 = 23.5.
The height would be 35 (the total length of the shape) - 20 (the height of the triangle) which is 15, so 23.5 × 15 = 352.5 in².
Now we add them up, so 144 + 310 + 352.5 = 806.5 in², which is your final answer.
I hope this helps!
Answer:
At least 653 citizens need to be sampled.
Step-by-step explanation:
The following formula is used to compute the minimum sample size required to estimate the true proportion who are in favor of gun control legislation within 5% margin of error:
n≥ p×(1-p) ×
where
- p is the sample proportion of people who are in favor of gun control legislation (

- z is the corresponding z-score for 99% confidence level (2.575)
- ME is the margin of error in the estimation (5% or 0.05)
Putting numbers in the formula
n≥ 0.5625×0.4375 ×
≈652.7
n needs to be<em> at least 653</em> to provide this equation.