A fair two-sided coin is tossed 750 times. Find the probability the first 750 tosses land
1 answer:
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Answer:
(a)6 (b)3 (c)0.5
Step-by-step explanation:
Given a fair die with the numbers 1,2,3,4,5, or 6 on each of its faces.
- Event A is the event of rolling an even number
- Event B is the event of rolling an odd number.
(a)The sample space for the outcomes in this experiment is {1,2,3,4,5,6}
There are <u>6</u><u> </u>outcomes in the sample space.
n(S)=6
(b)
Event A is the event of rolling an even number
Sample space of A = {2,4,6}
There are <u>3</u> outcomes in event A.
n(A)=3
(c)The probability of event A
P(A) =<u>0.5</u> is the probability that you choose an even number.
Answer:
Step-by-step explanation:
The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.
Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.
To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a , creating right triangles
and
.
The Pythagorean Theorem states that the following is true for any right triangle:
, where
is the hypotenuse, or the longest side, of the triangle
Thus, we have:
Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.
What we know:
Thus, the perimeter of the quadrilateral PTOS is equal to