40% of 50 is 20. So, 20/50 students who take the random sample prefer chocolate over vanilla ice cream. In order to find the number of students who prefer chocolate over vanilla ice cream out of 200 students in total, it is best to set up a proportion. Here: 20/50=x/200. Once you solve the proportion you will get x as 80.
Hope the explanation helped!
The charge Q is 512 c.
Step-by-step explanation:
Step 1:
The equation is 
, where q and Q are the charges, R is the distance between the charges, and F is the force between the charges.
From the question, we have;
F = 40 Newton, R = 16 m and q = 20 C.
We need to calculate Q.
Step 2:
By substituting the values of F, R, and q in the equation, we get
.
We cross multiply to solve Q.
So Q = 512 C.
Answer:
The flow rate is 138.95 mL per hour.
Step-by-step explanation:
We are given the following in the question:
Volume of solution = 2.64 L
1 L = 1000 mL
Volume of solution in mL =
Time period = 19 hour
Unit rate of flow =
Thus, the flow rate is 138.95 mL per hour.
Tom and John are to sit in a row of 6 seats with 4 other people. Number of ways for 6 people to sit if Tom sits to the left of John (but not necessarily directly beside him) is given by N = John on extreme right seat (#6) P(5, 1)*P(4, 4) + John on seat #5 P(4, 1)*P(4, 4) + John on seat #4 P(3, 1)*P(4, 4) + John on seat #3 P(2, 1)*P(4, 4) + John on seat #2 P(1, 1)*P(4, 4) = P(4, 4)[5 + 4 + 3 + 2 + 1] = 24*15 = 360 ANSWER P(4, 4) is the number of ways seating 4 others on remaining 4 seats when John has seated and Tom has seated on his left in P(5, 1), P(4, 1), P(3, 1), P(2, 1), P(1,1) ways.
