308
Step-by-step explanation:
Answer:
Step-by-step explanation:
This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.
Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!
The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is
(12!/5!)/12^7 = 12!/(12^7 5!)
Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:
1 - 12!/(12^7 5!)
Answer:
Step-by-step explanation:
Given:
Required
Rewrite in vertex form
The vertex form of an equation is in form of:
Solving:
Subtract 2 from both sides
Factorize expression on the right hand side by dividing through by the coefficient of x²
Get a perfect square of coefficient of x; then add to both sides
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<em>Rough work</em>
The coefficient of x is
It's square is
Adding inside the bracket of to give:
To balance the equation, the same expression must be added to the other side of the equation;
Equivalent expression is:
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The expression becomes
Factorize the expression on the right hand side
Make y the subject of formula
<em>Solved</em>
Answer:
The correct formula should be I= 600(0.07)(2). Juanita made a very common error, she didn't put the percentage of interest in decimal form; or she didn't put the percent sign on it so we know to put it in decimal form. Her error will make a big difference; with using her calculations the answer would be $8,400. With the correct formula the answer is $84.
<u>Hope this help!</u> :)