The probability of getting tails and rolling an odd number is P = 0.25
<h3>
How to get the probability?</h3>
The probability of getting tails on the coin is 0.5
On the dice, there are 6 numbers and 3 are odd, so the probability of rolling an odd number is:
p = 3/6 = 0.5
The joint probability (of getting tails and rolling an odd number) is equal to the product between the individual probabilities:
P(odd and T) = 0.5*0.5 = 0.25
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Answer:
I would say its 24 hope this helps
Answer:
It can be filled 15 times
Step-by-step explanation:
If 5 casks hold 120 gallons each,
5x120= 600
To find how many times a 40gallon barrel can be filled,
= 600/40
= 15
This means a 40 gallon barrel will be filled 15 times.
The geometric sequence is given by:
an=ar^(n-1)
where:
a=first term
r=common ratio
n is the nth term
given that a=4, and second term is -12, then
r=-12/4=-3
hence the formula for this case will be:
an=4(-3)^(n-1)
where n≥1
The reflection of BC over I is shown below.
<h3>
What is reflection?</h3>
- A reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is known as the reflection's axis (in dimension 2) or plane (in dimension 3).
- A figure's mirror image in the axis or plane of reflection is its image by reflection.
See the attached figure for a better explanation:
1. By the unique line postulate, you can draw only one line segment: BC
- Since only one line can be drawn between two distinct points.
2. Using the definition of reflection, reflect BC over l.
- To find the line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and A is the image of B.
- Definition of reflection says the figure about a line is transformed to form the mirror image.
- Now, the CD is the perpendicular bisector of AB so A and B are equidistant from D forming a mirror image of each other.
4. Since reflections preserve length, AC = BC
- In Reflection the figure is transformed to form a mirror image.
- Hence the length will be preserved in case of reflection.
Therefore, the reflection of BC over I is shown.
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The question you are looking for is here:
C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the unique line postulate, you can draw only one segment, Using the definition of, reflect BC over l. By the definition of reflection, C is the image of itself and is the image of B. Since reflections preserve , AC = BC.