Answer:
given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value
Step-by-step explanation:
1. We assume, that the number 40 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 40, so we can write it down as 100%=40.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=40
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=40/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 21 is what percent of 40
100%/x%=40/21
(100/x)*x=(40/21)*x - we multiply both sides of the equation by x
100=1.90476190476*x - we divide both sides of the equation by (1.90476190476) to get x
100/1.90476190476=x
52.5=x
x=52.5
now we have:
21 is 52.5% of 40
Testing the hypothesis, it is found that the p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
At the null hypothesis, we test if the proportion is of 40%, that is:
At the alternative hypothesis, we test if the proportion is greater than 40%, that is:
The test statistic is:
In which:
- X is the sample proportion.
- p is the value tested at the null hypothesis.
- s is the standard error, given by:
With n as the sample size.
In this problem:
- 0.4 is tested at the null hypothesis, thus
. - Won 3 out of 3, thus
. - The standard error is:
The value of the test statistic is:
The p-value is the probability of finding a sample proportion of 1 or "above", which is <u>1 subtracted by the p-value of Z = 2.12.</u>
- Looking at the z-table, Z = 2.12 has a p-value of 0.983.
- 1 - 0.983 = 0.017.
The p-value of the test is 0.017 < 0.05, which means that we can conclude that the red shirt increases his chances of winning.
A similar problem is given at brainly.com/question/24166849
Answer:
Infinite solutions
Step-by-step explanation:
(3x + 5)(2x - 3) = 6x^2 + x - 15
6x^2 + x - 15 = 6x^2 + x - 15
Left side = right side so there are infinite solutions
Answer:
(x+1)(x+3)(x+5)
Step-by-step explanation:
