Answer:
The probability is 1/8
Step-by-step explanation:
In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH
Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.
Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each
Hence, P(H) = P(T) = 1/2
Now, we proceed to calculating the probability of HTT
this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8
answer
71-17=54
82-28=54
93-39=54
60-06=54
Step-by-step explanation:
Answer:
Y=77/x
Explanation:
Y varies inversely with x meaning

adding a proportionality constant gives

Now, we are told that y = 11 and x = 7; therefore, the above gives

Solving for k gives

Therefore, the function that models the inverse variation is

which is our answer!
Answer:
Three times
Step-by-step explanation:
Given
Figures: Rectangular Prism and Rectangular Pyramid
Let the dimension of the prism be:



Amount of sand used is the volume (V1) and it is calculated using;


Since the pyramid has the same base area and height as the prism, the its dimension would be:



Amount of sand used is the volume (V2) and it is calculated using;

So, we have:


Substitute lwh for V1 in the second equation

Multiply both sides by 3


Reorder


<em>Hence, the amount of sand used in building the prism is three times the amount of sand used in building the pyramid</em>