Answer:
35
Step-by-step explanation:
7 orchids can be lined as 7!. This means that for the first orchid of the line, you can select 7 options. When you place the first orchid, for the second option you can select among 6 since 1 orchid has already been placed. Similarly, for the 3rd orchid of the line, you have left 5 options. The sequence goes in this fashion and for 7 orchids, you have 7*6*5*4*3*2*1 possibilities. However, there is a restriction here. 3 of the orchids are white and 4 are levender. This means that it does not make a difference if we line 3 white orchids in an arbitrary order since it will seem the same from the outside. As a result, the options for lining the 7 orchids diminish. The reduction should eliminate the number of different lining within the same colors. Similar to 7! explanation above, 3 white orchids can be lined as 3! and 4 levender orchids can be lined as 4!. To eliminate these options, we divide all options by the restrictions. The result is:
= 35. [(7*6*5*4*3*2*1/(4*3*2*1*3*2*1)]
Answer:
D
Step-by-step explanation:
Since A, B, and C are all true, D should be false.
I hope this helps!
Answer:
0.6 because its 58% chance which is 0.58 which rounds to 0.6
Step-by-step explanation:
GIVEN:

remember:

And

SOLVE:
start by multiplying the factors:

simplify by combing like terms. Most terms subtract off, leaving:

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

I'm not exactly sure what form they want the answer in...
so taking the square root:

so my best answer is:

or the more factored form:

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.
sorry for not coming to a definitive answer!