The answer is D (the last answer choice)
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
Answer:
E. When the sample size increases, because the standard deviation of the distribution of sample means better estimates the population standard deviation for larger sample sizes.
Step-by-step explanation:
- T distribution is similar to the normal distribution and is seen when the estimates of the variance are based on the degree of freedom and has a relatively more score in its tail and has a greater change of extreme values.
Answer: 46.5 yards
*the answer may be C since it's the closest*
Explanation: With a diagonal in the rectangle it creates a triangle so you can use the Pythagorean Theorem to solve the problem.
Answer:
Rotational symmetry of 180 degrees around the origin - yes
Rotational symmetry of 270 degrees around the origin - no
Step-by-step explanation:
thanks to math bits notebook we can see a visual representation
As you can see the parallelogram has rotational symmetry of 180
