Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.
If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2
Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".
Answer:
Bailey played longer.
Step-by-step explanation:
1/3 of an hour would be 20 minutes. 1/6 of an hour is 10 minutes.
It could be written like 400 or four hundred.
Answer:
John needs to buy 9 cans to feed his dog for the next 6 days
Step-by-step explanation:
1.5 cans per day (45/30) apply that 1.5 × 6 = 9
The area of the shaded region is 
.
Solution:
Given radius = 4 cm
Diameter = 2 × 4 = 8 cm
Let us first find the area of the semi-circle.
Area of the semi-circle = 
Area of the semi-circle = 
cm²
Angle in a semi-circle is always 90º.
∠C = 90°
So, ABC is a right angled triangle.
Using Pythagoras theorem, we can find base of the triangle.
cm
Base of the triangle ABC = 
cm
Height of the triangle = 4 cm
Area of the triangle ABC = 
Area of the triangle ABC = 
cm²
Area of the shaded region
= Area of the semi-circle – Area of the triangle ABC
= 
=
Hence the area of the shaded region is .
