Perimeter = 2l + 2w
Divide 184 by 4
184/4 = 46
Subtract by 6
46 - 6 = 40
Add by 6
46 + 6 = 52
The length is 52, and the width is 40.
We can verify by plugging these values into the original equation.
52*2 + 40*2 = 184
Answer:
2.15%
Step-by-step explanation:
If you were to get the z-score for both 500 and 550 and then get the probability of both those z-scores. After getting the probability you would subtract both probability and get your answer.
Z-score:
550-400/2=3
500-400/2=2
Probability:
3 (from the Z-table) is .9987
2 (from the Z-table) is .9772
.9987-.9772= .0215
.0215 as a percentage is 2.15%
Answer:
first one i think Good luck
Remember that the equation of the volume of a sphere is:

where

is the volume of the sphere

is the radius of the sphere
We know from our problem that the volume of our spherical ball is

, so

. Lets replace that value in our equation to find

:




![r= \sqrt[3]{729}](https://tex.z-dn.net/?f=r%3D%20%5Csqrt%5B3%5D%7B729%7D%20)

Now that we have the radius of our spherical ball, we can find its diameter using the equation:

:


Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span>

where

is the volume of the cube

is a side of the cube (remember that all the sides of a cube are equal)


We can conclude that the volume of our cube is 5832

.
Answer:

Step-by-step explanation:
Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.
The probability to select red marble is
Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.
The probability to select red marble is
Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.
The probability to select red marble is
The probability to choose each urn is the same and is equal to 
Thus, the probability that the marble is red is
