Answer:
The answer is "100 place".
Step-by-step explanation:
In this question, the place value of the 9 is 100 because in the given digit "87,942" the 9 is coming in the 100 places.
In 87,942,
8 is in 10,000 locations and its place value= 80,000.
7 is in 1,000 locations and its place value= 7,000.
9 is in the 100 locations and its place value= 900.
4 is in the 10 locations and its place value= 40.
2 is in the 1 location and its place value= 2.
Please find the attached file.
Answer:I'm guessing there's a simpler solution, but let's give it a shot.
Step-by-step explanation:
The two roots are provided by using the quadratic equation:
x = [-b ± √(b2 - 4ac)] / (2a)
For x2 - 10x + q = 0
a = 1
b = -10
c = q
Substituting these values in:
x = [-b ± √(b2 - 4ac)] / (2a)
= [-(-10) ± √((-10)2 - 4(1)(q))] / (2(1))
= [10 ± √(100 - 4q)] / 2
= 0.5 [10 ± √(100 - 4q)]
The first root, x1
x1 = 0.5 [10 + √(100 - 4q)]
= 5 + 0.5√(100 - 4q)
The second root, x2
x2 = 0.5 [10 - √(100 - 4q)]
= 5 - 0.5√(100 - 4q)
The difference in the roots is 6.
6 = x1 - x2
= [5 + 0.5√(100 - 4q)] - [5 - 0.5√(100 - 4q)]
= 5 + 0.5√(100 - 4q) - 5 + 0.5√(100 - 4q)
6 = √(100 - 4q)
(6)2 = [√(100 - 4q)]2
36 = 100 - 4q
-64 = -4q
q = 16
Do a little more work to determine the roots.
x2 - 10x + q = 0
x2 - 10x + 16 = 0
(x - 8)(x - 2) = 0
x = {2, 8}
8 - 2 = 6
Answer: a continuous random variable
Step-by-step explanation:
<u><em>Can you count the distance it traveled?</em></u> You can't, so it couldn't be discrete because you can count discrete variables.
<u><em>Can you measure the distance it traveled? </em></u>You sure can, that makes it a continuous random variable.
<u><em>Do you know the exact distance it's going to travel?</em></u><u> </u>You won't, therefore it's a random variable since you don't know the value beforehand.
Answer:
122.46
Step-by-step explanation:
Answer:
17.03 meters
Step-by-step explanation:
The circumference of a circle:
![C=2\pi r \mbox{ or }C=\2d](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r%20%5Cmbox%7B%20or%20%7DC%3D%5C2d)
where r is the radius and d is the diameter.
Given the diameter here, all you need to do is multiply it by pi:
![\rightarrow C=\pi d\\\rightarrow C=(3.14159...)(5.42)\\\rightarrow C=17.0274...](https://tex.z-dn.net/?f=%5Crightarrow%20C%3D%5Cpi%20d%5C%5C%5Crightarrow%20C%3D%283.14159...%29%285.42%29%5C%5C%5Crightarrow%20C%3D17.0274...)
Rounded to 2 decimal places, you get 17.03 meters.