X^2 + 10x + 12 please help!!
1 answer:
You might be interested in
Answer:
a) P=0.0000843
b) P=0.0000454
c) P=0.0066113
Step-by-step explanation:
6 cards are drawn at random without replacement from a standard deck.
a) We calculate the probability that all the cards are hearts.
We calculatethe number of possible combinations:
We calculate the number of favorable combinations:
Therefore, the probability is
b) We calculate the probability that all the cards are face cards.
We calculatethe number of possible combinations:
We calculate the number of favorable combinations:
Therefore, the probability is
c) We calculate the probability that all the cards are even.
We calculatethe number of possible combinations:
We calculate the number of favorable combinations:
Therefore, the probability is
Answer:
The volume of the given figure is 150 mm³
Step-by-step explanation:
The formula of the volume of the triangular pyramid is V = AH, where
- A is the area of its base
- H is its height
The formula of the area of a triangle is A = bh, where
- b is the length of its base
- h is the length of its height
In the given figure
∵ The pyramid has a triangular base
∵ The triangle has a base of 12 mm and a height of 7.5 mm
∴ b = 12 mm and h = 7.5 mm
→ By using the 2nd formula above, find the area of the base
∴ A = (12)(7.5)
∴ A = 45 mm²
∵ The height of the pyramid is 10 mm
∴ H = 10 mm
∵ A = 45 mm²
→ Substitute them in the first formula above to find the volume
∴ V = (45)(10)
∴ V = 150 mm³
∴ The volume of the given figure is 150 mm³