Answer:
4/x^7
Step-by-step explanation:
4x^-7 = 4* x^-7 = 4* 1/x^7 = 4/x^7
Standard deviation = √(n * p * q)
You are given n and p
q = 1 - p
q = 1 -0.2 = 0.8
Standard deviation = √(21 * 0.2 * 0.8)
=√3.36 = 1.83
The answer is A.
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
icang [17]
Answer: B) 1/9, 3, 27
Step-by-step explanation:
Here, we need to evaluate 
for 
So, we substitute values of x in the given function.
At x= -2, we have
![3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}\ \ \ [\because\ a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=3%5E%7B-2%7D%3D%5Cdfrac%7B1%7D%7B3%5E2%7D%3D%5Cdfrac%7B1%7D%7B9%7D%5C%20%5C%20%5C%20%5B%5Cbecause%5C%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)
At x= 1, we have
At x= 3
So, the values of for
Thus, the correct answer is B) 1/9, 3, 27
Answer:
51 days
Step-by-step explanation:
You would subtract 30 from 132 to get 102 pieces of candy that you have shared. If you share two a day, then divide 102 pieces by 2 to get 51 days :)
You can check by doing 2*51=102 + 30 leftover= 132 pieces
Answer:
x = y = (15/2)√2
Step-by-step explanation:
You can recognize this as an isosceles right triangle, so x=y. They Pythagorean theorem then tells you that ...
15² = x² + x²
225/2 = x²
√(225/2) = x = √(225·2/4) = (15/2)√2
The solution is x = y = (15/2)√2.
_____
<em>Comment on isosceles right triangles</em>
It is worth remembering that the ratio of sides of an isosceles right triangle is ... side : side : hypotenuse = 1 : 1 : √2.
Knowing this lets you write down the solution to this problem as ...
x = y = 15/√2
Of course, the denominator of this fraction can be rationalized by multiplying the fraction by (√2)/(√2) to get (15√2)/2 or (15/2)√2.
