Answer:
3.7%
Step-by-step explanation:
We know that from this situation, the probability of drawing a single green marble is 1/3. However, to find the probability of drawing 3 green marbles, we will need to do:
![P= \frac{1}{3}* \frac{1}{3}*\frac{1}{3}](https://tex.z-dn.net/?f=P%3D%20%5Cfrac%7B1%7D%7B3%7D%2A%20%5Cfrac%7B1%7D%7B3%7D%2A%5Cfrac%7B1%7D%7B3%7D)
We get a probability of:
This converts to a percentage of:
![\frac{1}{27}= 0.037 \\ 0.037*100= 3.7%](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B27%7D%3D%200.037%20%5C%5C%200.037%2A100%3D%203.7%25)
We get a percentage of 3.7%
You must drive more than 40 miles to make option A the cheaper plan
<em><u>Solution:</u></em>
Two payment options to rent a car
Let "x" be the number of miles driven in one day
<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>
25 cents is equal to 0.25 dollars
OPTION A : 20 + 0.25x
<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>
50 cents equal to 0.50 dollars
Option B: 10 + 0.50x
<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>
For option A to be cheaper, Option A must be less than option B
Option A < Option B
![20 + 0.25x < 10 + 0.50x](https://tex.z-dn.net/?f=20%20%2B%200.25x%20%3C%2010%20%2B%200.50x)
Solve the inequality
Add -0.50x on both sides
![20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10](https://tex.z-dn.net/?f=20%20%2B0.25x%20-0.50x%20%3C%2010%20%2B%200.50x%20-%200.50x%5C%5C%5C%5C20%20-%200.25x%20%3C%2010)
Add - 20 on both sides,
![20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10](https://tex.z-dn.net/?f=20%20-%200.25x%20-%2020%20%3C%2010%20-%2020%5C%5C%5C%5C-0.25x%20%3C%20-10)
![\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}](https://tex.z-dn.net/?f=%5Cmathrm%7BMultiply%5C%3Aboth%5C%3Asides%5C%3Aby%5C%3A-1%5C%3A%5Cleft%28reverse%5C%3Athe%5C%3Ainequality%5Cright%29%7D)
![0.25x > 10](https://tex.z-dn.net/?f=0.25x%20%3E%2010)
Divide both sides by 0.25
![x > 40](https://tex.z-dn.net/?f=x%20%3E%2040)
Thus you must drive more than 40 miles to make option A the cheaper plan
Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
A . Because one you make the ratio 80:48 you simplify (divide until you can divide anymore ).
Answer:
C
Step-by-step explanation:
since there cant be technically half of someone (i hope not) the domain has to be "whole numbers". hours can be split, so they are "all numbers". well, looking at it again, it is C, since the others can not possibly be correct.