Let's translate this question into a formula:
Total cost = (unit price of the eraser) (number of erasers purchased)
Final total cost = (Total cost) * 1.08 = ?
Why? The Final Total Cost = Cost of the erasers + (Cost of the erasers)(sales tax rate)
Final total cost = 1.08 (Total Cost)
Final total cost = 1.08 ($0.50)(24) (since 1 dozen = 12, and 2 dozen = 24)
Answer:
The distance between the ship and the island is
.
Step-by-step explanation:
The ship's azimuth is the direction measured as an angle from the north.
You should draw a diagram of the situation.
From the information given we know two distances and the angle between them and we want to find the distance between the ship and the island.
To find the distance between the ship and the island we can use the Law of Cosines.
<em>If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of cosines states:</em>
![c^2=a^2+b^2-2ab\cdot cos(C)](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2ab%5Ccdot%20cos%28C%29)
This law is useful for finding: the third side of a triangle when we know two sides and the angle between them like in this case.
The angle is
![\theta=48\°+(360-332)\°=76\°](https://tex.z-dn.net/?f=%5Ctheta%3D48%5C%C2%B0%2B%28360-332%29%5C%C2%B0%3D76%5C%C2%B0)
And the distance is given by
.
Answer: 6
Explanation: The EXACT calculation would be 5.9215.. so the closest approximation would be
6, as it's only about .08 -ish away from 6.
Answer:
7
Step-by-step explanation:
3x-6 = x+4 + 4
3x-x = 4+4+6
2x = 14
x= 7
Answer:
0.25 is the required probability.
Step-by-step explanation:
We are given the following in the question:
Probability that like book 1 = 0.6
![P(1) = 0.6](https://tex.z-dn.net/?f=P%281%29%20%3D%200.6)
Probability that like book 2 = 0.5
![P(2) = 0.5](https://tex.z-dn.net/?f=P%282%29%20%3D%200.5)
Probability that Maria likes both the books = 0.4
![P(1\cap 2) = 0.4](https://tex.z-dn.net/?f=P%281%5Ccap%202%29%20%3D%200.4)
We have to find the conditional probability that she will like book 2 given that she did not like book 1.
Thus, we have to evaluate:
![P(2|1') = \dfrac{P(2\cap 1')}{P(1')} = \dfrac{P(2)-P(1\cap 2)}{1-P(1)}\\\\P(2|1') =\dfrac{0.5-0.4}{1-0.6} = 0.25](https://tex.z-dn.net/?f=P%282%7C1%27%29%20%3D%20%5Cdfrac%7BP%282%5Ccap%201%27%29%7D%7BP%281%27%29%7D%20%3D%20%5Cdfrac%7BP%282%29-P%281%5Ccap%202%29%7D%7B1-P%281%29%7D%5C%5C%5C%5CP%282%7C1%27%29%20%3D%5Cdfrac%7B0.5-0.4%7D%7B1-0.6%7D%20%3D%200.25)
0.25 is the conditional probability that Maria will like book 2 given that she did not like book 1.