Answer:
-10,10
Step-by-step explanation:
The given quadratic equation is
The discriminant of this equation is given by;
where a=k, b=20, c=k
For rational solutions, the discriminant must be zero.
Simplify to get:
This implies that:
Take square root to get:
Answer: -1
The negative value indicates a loss
============================================================
Explanation:
Define the three events
A = rolling a 7
B = rolling an 11
C = roll any other total (don't roll 7, don't roll 11)
There are 6 ways to roll a 7. They are
1+6 = 7
2+5 = 7
3+4 = 7
4+3 = 7
5+2 = 7
6+1 = 7
Use this to compute the probability of rolling a 7
P(A) = (number of ways to roll 7)/(number total rolls) = 6/36 = 1/6
Note: the 36 comes from 6*6 = 36 since there are 6 sides per die
There are only 2 ways to roll an 11. Those 2 ways are:
5+6 = 11
6+5 = 11
The probability for event B is P(B) = 2/36 = 1/18
Since there are 6 ways to roll a "7" and 2 ways to roll "11", there are 6+2 = 8 ways to roll either event.
This leaves 36-8 = 28 ways to roll anything else
P(C) = 28/36 = 7/9
-----------------------------
In summary so far,
P(A) = 1/6
P(B) = 1/18
P(C) = 7/9
The winnings for each event, let's call it W(X), represents the prize amounts.
Any losses are negative values
W(A) = amount of winnings if event A happens
W(B) = amount of winnings if event B happens
W(C) = amount of winnings if event C happens
W(A) = 18
W(B) = 54
W(C) = -9
Multiply the probability P(X) values with the corresponding W(X) values
P(A)*W(A) = (1/6)*(18) = 3
P(B)*W(B) = (1/18)*(54) = 3
P(C)*W(C) = (7/9)*(-9) = -7
Add up those results
3+3+(-7) = -1
The expected value for this game is -1.
The player is expected to lose on average 1 dollar per game played.
Note: because the expected value is not 0, this is not a fair game.
He is wrong. You first need to put it in order before getting the middle. Like so:
22, 36, 48, 60, 84
Now cross out 22, then 84, and so on till you're left with one number (the middle number)
THE ANSWER IS 48
The scores of two groups can be compared using coefficient of variation;
Coefficient of variation (C.V.) = (Standard Deviation/ Mean) × 100%;
For Data set 1;
Standard deviation = 3.6
Mean = 35.3
C.V. = (3.6/35.3) × 100%;
= 10.19%
For Data set 2;
Standard deviation = 0.5
Mean = 34.1
C.V. = (0.5/34.1) × 100%;
= 1.46%
To learn more about coefficient of variation, visit: brainly.com/question/24131744
#SPJ9
Answer:
55
Step-by-step explanation:
we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.
