Forty children from an after-school club went to the matinee.This is 25% of the children in the club.How many children are in th
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The equation of the vertical parabola in vertex form is written as
Where (h, k) are the coordinates of the vertex and p is the focal distance.
The directrix of a parabola is a line which every point of the parabola is equally distant to this line and the focus of the parabola. The vertex is located between the focus and the directrix, therefore, the distance between the y-coordinate of the vertex and the directrix represents the focal distance.
Using this value for p and (3, 1) as the vertex, we have our equation
Answer:
The probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.
Step-by-step explanation:
Given:
Coin is tossed and a single 6 sided number cube is rolled.
Let the event of tossing head be 'H' and event of rolling a 3 be 'R3'.
Now, we know that:
Probability of an event 'A' = Favorable outcomes of 'A' ÷ Total possible outcomes
Now, for tossing a coin, the total possible outcomes are head and tail. So, there are 2 possible outcomes.
So, probability of event 'H' is given as:
Similarly, for rolling a 6 sided cube, the possible outcomes are numbers 1 to 6. So, the number of possible outcomes is,
Now, probability of rolling a 3 is given as:
Now, both the events 'H' and 'R3' occur together. So, the combined probability is the product of two individual probabilities as they are independent events. So,
Note: Independent events are those events whose intersection is an empty set of events or the outcome of one event doesn't affect the outcome of the other event.
Therefore, the probability of landing on the heads side of the coin and rolling 3 on the number cube is 0.083.