9514 1404 393
Answer:
(X, Y, Z) = (-2, 3, 3)
Step-by-step explanation:
We can subtract the second equation from the first to get ...
Y -Z = 0
We can add the third equation to the first to get ...
Z = 3
Then ...
Y -3 = 0 ⇒ Y = 3
and ...
X -3 -2(3) = -11
X = -2 . . . . . . . . . add 9
The solution is ...
(X, Y, Z) = (-2, 3, 3)
Answer:
0.5969 = 59.69% probability that it was a flight of airline A
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Left on time.
Event B: From airline A.
Probability of a flight leaving on time:
81% of 48%(airline A).
61% of 26%(airline B)
40% of 26%(airline C). So
Probability of leaving on time and being from airline A:
81% of 48%. So
What is the probability that it was a flight of airline A?
0.5969 = 59.69% probability that it was a flight of airline A
Answer:
8 petals per daisy
Step-by-step explanation:
200/25=8
To get the answer to this problem, first we have to subtract the marked up cost to the cost of the product. So we first minus 25.3 and 22.25. When we do this, we will get a difference of 3.05. This is the profit that you will earn. So after that, we have to divide 3.05 and 25.30 to get the mark up percentage. When we do this, we will get an answer of 0.12. So in order to convert that into a percentage, we just have to multiply it by 100 and we will get 12%.
1. What is the simplified form of (x – 2)(2x +3)? Use the Distributive Property.
= (x)(2x) + (3)(x) - (2)(2x) - (2)(3)
= 2x^2 + 3x - 4x - 6
= 2x^2 - x - 6
Answer
2x^2 - x – 6
2. What is the simplified form of (3x + 2)(4x – 3)? Use a table.
| 3x 2
--------|-----------------------------------------
4x | 12x^2 8x
--------|---------------------------------------------
-3 | -9x -6
---------------------------------------------------------Add
12x^2 + 8x - 9x - 6
= 12x^2 -x - 6
Answer
12x^2 – x – 6
3. What is the simplified form of (4p – 2)(p – 4)?
(4p – 2)(p – 4)
= (4p)(p) - (4p)(4) - (2)(p) - (2)(-4)
=4p^2 - 16p - 2p + 8
= 4p^2 - 18p + 8
Answer
4p^2 – 18p + 8
4. The radius of a cylinder is 3x – 2 cm. The height of the cylinder is x + 3 cm. What is the surface area of the cylinder? Use the formula A = 2r2 + 2rh.
A = 2r2 + 2rh
A = 2( 3x – 2)^2 + 2 (3x – 2)(x + 3 )
A = 2(9x^2 - 12x + 4) + 2(3x^2 + 7x - 6)
A = 18x^2 - 24x + 8 + 6x^2 + 14x - 12
A = 24x^2 - 10x - 4
Answer
A = 24x^2 - 10x - 4