Answer:
i have no idea what it is so good luck
Step-by-step explanation:
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:
(D) is the right answer
Step-by-step explanation:
The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.
A triangular pyramid has four faces. So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.
A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.
B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.
C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.
D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.
So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.
Answer:
1.12 x 10^6 or 1,120,000
Step-by-step explanation:
You work out the first part which would be (3.76 x 10^5) or 376,000.
Then you work out the second part which would be (7.44 x 10^5) or 744,000.
Then you add them together and move the decimal over to where the number is less than ten but greater than 0 so it would be like this:
1.120000
But just cut all the zeros so it would be like this:
1.12
And how ever many times you move the decimal over is the number you put beside the ten by the way. it should look a little like this by the time you are done:
1.12 x 10^6
Answer:
24th day will be the first day on which Tyler will wear his jackets and scarf to school
Step-by-step explanation:
We can find the first day on which the Tyler will wear his jackets and scarf to school by taking the LCM of(3,8)
<u>Finding the LCM of(3,8)</u>
List all prime factors for each number.
Prime Factorisation of 3 shows:
3 is prime => 
Prime Factorisation of 8 is:
2 x 2 x 2 => 
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new super-set list is
2, 2, 2, 3
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 = 24
