Answer:
d. 10%
Step-by-step explanation:
1. Information to know
15 cards left in the deck, and 5 are diamond, to find the probability of the next 2 cards being diamond, one has to find the probability of the 1st card as a diamond, and then multiply it by the probability of the 2nd card being a diamond.
Remember, probability is;

2. Find probability 1
favorable out comes; diamond = 5
total outcomes; total cards = 15
probability is; 
Simplified; 
3. Finding probability 2
If the last card drawn was a diamond then the new numbers will be
favorable outcomes; 4
total outcomes; 14
Probability is; 
Simplified; 
4. Total probability
Now, one has to multiply the first probability by the second probability to find the probability of the event;

= 
= 0.095238
~10%
Triangle is attached below
The triangle is 12 by 10 by 8
Perimeter:
To find perimeter we add all the sides of the triangle
Perimeter P = 12 + 10 + 8 = 30 units
Semi perimeter:
Semi perimeter is half of its perimeter
We know P = 30
Semi perimeter s=
=
= 15 units
Area:
If we know the sides of the triangle then we use Heron's formula to find the area of the triangle

Where s= semi perimeter
a,b,c are the sides of the triangle
s= 15 units
a= 12 units
b= 10 units
c= 8 units




A= 39.7 square units
Answer:
the length of the arc = 4
Step-by-step explanation:
72/360=x/20
360x=1440
x=4
Therefore, the length of the arc = 4
I hope this helped and have a good rest of your day!
Answer:
Mariana.
Step-by-step explanation:
1 liter = 10 deciliters. You can either convert Mariana's 50 liters to deciliters (which would be 500 deciliters), or convert Joseph's 13 delicilters to liters (which would be 1.3 liters). Either way, you can see that Mariana bought much more soda than Joseph.