By seeing where the curves intercept, we conclude that the solutions are:
(0.22, -1.22) and (-2.12, 1.12)
<h3>How to solve the system of equations?</h3>
Here we just need to graph the equations:
y = log(-5.6*x + 1.3)
y = -1 - x
And see in which points the curves intercept.
The graph can be seen below:
There we can see that the intersections (and solutions) are the points:
(0.22, -1.22) and (-2.12, 1.12)
If you want to learn more about systems of equations:
#SPJ1
Answer:
Tangent ratio of the angle is 15/8.
Step-by-step explanation:
Given:
AB = 15 unit
CB = 17 unit
AC = 8 unit
To find: Tangent ratio of angle
We known that Tangent Ration is equal to the ration of Opposite side of the angle to the adjacent side of the triangle.
So,
Therefore, Tangent ratio of the angle is 15/8.
Answer:
The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.
Step-by-step explanation:
Data given and notation
n=40 represent the random sample taken
X=5 represent the people report having texted while driving
estimated proportion of people report having texted while driving
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.29.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
The p value is a value in order to reject or not the null hypothesis. If the p value is higher than the significance level we FAIL to reject the null hypothesis otherwise we have enough evidence to reject the null hypothesis.