<span>There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).</span>
Answer:
≈ 397 m
Step-by-step explanation:
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
Let h represent the height of the balloon above ground, then
h² + 50² = 400², that is
h² + 2500 = 160000 ( subtract 2500 from both sides )
h² = 157500 ( take the square root of both sides )
h ≈ 397 m ( to the nearest metre )
Answer:
Step-by-step explanation:
-2(p + 4) = 3 - 3p + 1p.....combine like terms
-2(p + 4) = 3 - 2p...distribute the -2 through the parenthesis
-2p - 8 = 3 - 2p
-2p + 2p = 3 + 8
0 = 11 <==== no solution
if it is a false statement, it has no solutions
if it ends like : 6 = 6 or -2 = -2, then there is infinite solutions
if it ends like : x = 8 or x = -5, then there is 1 solution
Answer:
- perfect square: 2, 5
- difference of squares: 1, 6
Step-by-step explanation:
If the two factors are identical, their product will be a perfect square.
If one of the factors is the difference of terms that are summed in the other factor, the product will be the difference of squares.
(a +b)(a -b) = a² -b² . . . . . matches the 1st and 6th choices
(a +b)(a +b) = (a +b)² . . . . matches the 2nd and 5th choices
Answer:
the standard is that a person can read 40 to 50 pages in an hour on average.
Step-by-step explanation:
52x2 is 104, and you need 130 pages it, i say that you cant complete the homework under two hours
