Answer: Part A: she would make 35.75
Part B: She would work for 7 hours
Step-by-step explanation:
Part A: $6.50+4.5=35.75
Part B: $45.50 dived by $6.50 would be 7. So she worked 7 hours
The probability that a high school student in in the marching band is 0.47
so, 
The probability that a student plays a varsity sport is 0.32
so, 
the probability that a student is in the marching band and plays a varsity sport is 0.24
so, we get
P(M∩V)=0.24
a student plays a varsity sport if we know she is in the marching band
so,
P(V|M)=(P(V∩M))/(P(M))
now, we can plug values
and we get
So,
the probability that a student plays a varsity sport if we know she is in the marching band is 0.51063......Answer
The graph of G(x) is the graph of F(x) shifted 8 units to the right.
There would be 12 people at the party!
In general, with n+1 people, the number of handshakes is the sum of the first n consecutive numbers: 1+2+3+ ... + n.
Since this sum is n(n+1)/2, we need to solve the equation n(n+1)/2 = 66.
This is the quadratic equation n2+ n -132 = 0. Solving for n, we obtain 11 as the answer and deduce that there were 12 people at the party.
Since 66 is a relatively small number, you can also solve this problem with a hand calculator. Add 1 + 2 = + 3 = +... etc. until the total is 66. The last number that you entered (11) is n.
Hope this helps!
There are 5 even numbers from 1 to 10.
The number of ways to draw all even numbers is 5!/(2!*3!) = 10
The number of ways to draw from the hat is 10!/(7!*3!) = 128
Therefore the probability is 10/128 = 5/64 or roughly 7.81%
