<span>There are several possible events that lead to the eighth mouse tested being the second mouse poisoned. There must be only a single mouse poisoned before the eighth is tested, but this first poisoning could occur with the first, second, third, fourth, fifth, sixth, or seventh mouse. Thus there are seven events that describe the scenario we are concerned with. With each event, we want two particular mice to become diseased (1/6 chance) and the remaining six mice to remain undiseased (5/6 chance). Thus, for each of the seven events, the probability of this event occurring among all events is (1/6)^2(5/6)^6. Since there are seven of these events which are mutually exclusive, we sum the probabilities: our desired probability is 7(1/6)^2(5/6)^6 = (7*5^6)/(6^8).</span>
The roots of f(x) are {0, 3, -4}. You've got them as {-3, 4}, which is not correct.
Draw another set of coordinate axes and place dark dots at (0,0), (3,0) and (-4,0). These dots represent the roots (solutions) of the given polynomial.
Note that we have a repeated (double) root at x=3, which is given away by the exponent 2 of (x-3).
A basic way of sketching this graph is described as follows:
Evaluate the function (find y) for several x-values other than (0, 3 and -4):
Choose (for example) {-5, -2, -1, 1, 2, 4}
If you'll find the y-value for each of these x-values and plot the resulting points, you should see the shape of the graph. Draw a rough graph thru these points. If any doubt remains about what the graph looks like at particular x-values, calculate and plot more points, e. g., at {-2.5, -1.5, ...}.
If you're taking calculus, consider applying the First- and Second-Derivative tests to determine concavity, maximum, minimum, etc.
Answer:
The answer to your question is there were 88 children
Step-by-step explanation:
Data
Total number of people = 188
total cost = $5040
12 more adults than seniors
number of children = ?
adults = a
children = c
Process
1.- Write equations that help to solve this problem
a + c = 188 Equation l
a = c + 12 Equation ll
2.- Solve by substitution. Substitute equation equation ll in equation l
(c + 12) + c = 188
-Solve for c
c + 12 + c = 188
2c + 12 = 188
2c = 188 - 12
2c = 176
c = 176 / 2
c = 88
3.- Conclusion
There were 88 children
Answer: x=9
Step-by-step explanation:
2x+10=28
2x=18
x=9
