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:
The two graphs are perpendicular
Step-by-step explanation:
The slope of the first one is the reciprocal of the second. Also I graphed it.
The product of any number and its reciprocal is ' 1 '.
Call the number ' Q '.
Whatever the number is, its reciprocal is 1/Q .
Their product is
( Q ) x ( 1/Q ) = ( Q/Q ) = 1
Answer
9/10=<u>90%</u> and 2/5=<u>40%</u>
Explanation
9÷10=0.9 0.9x100=90%
2÷5=0.4 0.4x100=40%
<em>hope this helps!</em>
<em>have a wonderful day :)</em>