<u>Define x:</u>
Let the number of children tickets be x.
Children tickets = x
Adult tickets = 2x
<u>Construct the equation:</u>
4x + 7(2x) = 108
4x + 14x = 109
18x = 108
x = 6
x = 6
2x = 12
Answer: 6 children tickets and 12 adult tickets.
Answer:
5
Step-by-step explanation:
The maximum or minimum of a quadratic function occurs at x= −b/2a. If a is negative, the maximum value of the function is f(−b/2a). If a is positive, the minimum value of the function is f(−b/2a)
fmax
c=ac²+bc+c occurs at c=−b/2a
Find the value of c
equal to −b/2a
c=−b/2a
Substitute in the values of a
and b
c=−120/2(−12)
Remove parentheses.
c=−120/2(−12)
c=−60/−12
c= 5
The sequence of transformations that could have been used to transform triangle ABC to produce triangle A"B"C" is B.Triangle ABC was reflected across the y-axis and then translated 7 units down.
The solution to the Questions are
- The alternate hypothesis demonstrates that there are two possible outcomes for the test.
- Decision rule: If z > 2.05 or z<-2.05, reject H0
- The two-tailed nature of the test is shown by the alternative hypothesis.
- The result of the test yields the following P-value: 0.0096
<h3>What is the alternate hypothesis?</h3>
(a)
The alternate hypothesis demonstrates that there are two possible outcomes for the test.
(b)
Here we have
(b)
Here the test is two-tailed. So for , the critical values of the z-test are -2.05 and 2.05.
Decision rule: If z > 2.05 or z<-2.05, reject H0
(c)
Test statistics will be
z=2.59
(d)
The two-tailed nature of the test is shown by the alternative hypothesis.
(e)
The result of the test yields the following P-value: 0.0096
Read more about P-value
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