X^2 - 8x + 13 = 0
subtract 13 from both sides
x^2 - 8x = -13
-8/2 = -4, (-4)^2 = 16, add 16 to both sides
x^2 - 8x + 16 = -13 + 16
factor the left side
(x - 4)^2 = 3
Answer:
18.85
Step-by-step explanation:
2(3.14)(3)
Answer:B and E
It is B and E because it’s exponent matches the equation. In B, there are 2 fives and the exponential form shows 5 to the power of 2. In E, there are 6 sevens and the exponential form shows 7 to the power of 6.
Using a confidence interval of proportions, it is found that the correct statement is given by:
D a confidence interval for estimating the cricket's true probability of landing on its feet is more narrow after the final 10 jumps than it was before the final 10 jumps.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
The margin of error is given by:

The margin of error is inversely proportional to the square root of the sample size, hence, the higher the sample size, the narrower the interval is, hence option D is correct.
More can be learned about a confidence interval of proportions at brainly.com/question/25890103
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)