Answer:
104 cm^3
Step-by-step explanation:
The ratio of volumes is the cube of the ratio of linear dimensions for similar figures. Since the height of B is 2 times the height of A, the volume of B will be 2^3 = 8 times the volume of A, so is ...
8·13 cm^3 = 104 cm^3
Answer:
18a+9
Step-by-step explanation:
Use the distribution property to expand the expression to:
9*(2a) + 9(1) = 18a + 9
For polynomials, complex zeros always come in conjugate pairs.
So if 2-4i is a zero of the given polynomial,
then 2+4i must be another.
Answer:
P(a|b) = 1/2
Step-by-step explanation:
* Lets study the meaning independent probability
- Two events are independent if the result of the second event is not
affected by the result of the first event
- If A and B are independent events, the probability of both events
is the product of the probabilities of the both events
- P (A and B) = P(A) · P(B) ⇒ P (A ∩ B) = P(A) · P(B)
- If A and B are two events, then the conditional probability of A
given B is defined as P(A|B) = P(A∩B)/P(B)
* Lets solve the problem
∵ P(a) = 0.50
∵ P(b) = 0.20
∵ a and b are independent events
∴ P (a ∩ b) = P(a) · P(b)
∴ P (a ∩ b) = 0.50 × 0.20 = 0.10
∵ P(a|b) = P(a∩b)/P(b)
∴ P(a|b) = 0.10/0.20 = 1/2
* P(a|b) = 1/2
Answer:
A. 2025pi in^2
Step-by-step explanation:
If you change a linear dimension by a factor of k, the area changes by a factor of k^2.
The radius changes by a factor of 3. The area changes by a factor of 3^2 which is 9.
9 * 225pi square inches = 2025pi square inches