You have 100 quarters in a jar. One of the quarters is double sided (heads). You pick out a random quarter and flip it 7 times,
1 answer:
Answer:
Probability of having the double sided coin is 1 %
Probability of getting heads on the next flip is 50%
Step-by-step explanation:
Based on the information given to us in the question we have a total of 100 coins in the bag and only 1 is double heads. Therefore the probability of you picking the double sided coin is or 1 % . This probability is not affected by the fact that the coin you chose got heads 7 times in 7 flips.
Since a coin has 2 sides and you do not know whether the coin you have is the double sided coin then you have to assume that it is a normal 2 sided coin. Therefore a normal 2 sided coin has a probability of or 50% with every flip of getting heads.
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Answer:
A) S = f(d) = √(36 + d²)
B) d = g(t) = 30t
C) f o g = √(36 + 900t²)
Explanation:
A) Express the distance s between the lighthouse and the ship as a function of d, the distance the ship has traveled since noon;that is, find f so that s = f(d)
Refer to the attached image and observe that ship starts moving from point I towards point N which represents the position of ship at noon.
From point I to point N ship covers the distance d.
From point I to point L (lighthouse) the distance is S.
A triangle is formed and we want the distance S so we will apply the Pythagorean theorem
IL² = NL² + IN²
S² = 6² + d²
S = √(36 + d²)
Therefore, the function is S = f(d) = √(36 + d²)
B) Express d as a function of t, the time elapsed since noon;that is, find g, so that d = g(t)
Since the ship is moving at a speed of 30 km/h and let t represents the time taken to move from I to N then
d = 30t
or
d = g(t) = 30t
C) Find f o g. What does this function represent?
Since we have already found f(d) and g(t) we can find f o g.
f(d) = √(36 + d²) and d = g(t) = 30t
substitute d = g(t) = 30t into f(d)
f o g = √(36 + (g(t))²)
f o g = √(36 + (30t)²)
f o g = √(36 + 900t²)
This function simply represents the distance from point I to point N to point L which is the longer distance from the initial position of ship to the lighthouse.
Answer: x=42
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Solve for x.
- Add 10 and 4.
- Multiply the sum of 10 and 4 by 3. You must move it from the left member to the right member. Then, if 3 is dividing x, this will multiply the sum of 10 and 4. So, you have:
Therefore, you obtain that the value of x is 42