For this case we have to:
Given the quadratic equation of the form:

The roots are given by:

If we have: 
We can rewrite it in the following way:

Where:

Where we have:



By definition: 




Thus, the roots are given by imaginary numbers:

Answer:

Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle =
bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle =
× 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Step-by-step explanation:
For this case we want to test the following system of hypothesis:
Null hypothesis: 
Alternative hypothesis: 
The statistic for this case is given by:
(1)
And for this case we know that the statistic is given by:

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

And for this case using a significance level of
we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true proportion is less than 0.02
Answer:
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Step-by-step explanation: