we have that
using a graph tool
see the attached figure
the solution is the interval [18,22]
Two transformations are applied to F(x) to obtain G(x)
1) F(x) is multiplied by 2.
Multiplying a function by a magnitude greater than 1 results vertical stretch.
So, F(x) is stretched by a factor of 2.
2) 5 is subtracted from the function value.
Subtraction of a number indicates downward shift.
So, G(x) is obtained from F(x) by stretching it vertically by a factor of 2 and shifting down by 5 units
Thus, option D is the correct answer
U would use a yard stick because the rug may be a yard or less
Answer:
Change the confidence interval.
Step-by-step explanation:
The confidence interval should be altered . If a 95 % or 90% confidence interval is set then better results can be obtained for student satisfaction.
A 90 or 95 or 99 percent confidence interval will show a greater range of the data that lies within or without the given criteria.
95 % confidence interval does not mean that the probability is 95% . It means that we are 95% of the data lies or does not lie within the specific range.
This gives better results as compared to 60- 80 % confidence intervals.
If 95% of the students are satisfied as compared to 60% or 80% , this shows more accuracy.
Step-by-step explanation:
<em>x</em><em>^</em><em>2</em><em>+</em><em>6</em><em>x</em><em>+</em><em>5</em><em>=</em><em>0</em>
<em>x</em><em>^</em><em>2</em><em>+</em><em>5</em><em>x</em><em>+</em><em>1</em><em>x</em><em>+</em><em>5</em><em>=</em><em>0</em>
<em>x</em><em>(</em><em>x</em><em>+</em><em>5</em><em>)</em><em>+</em><em>1</em><em>(</em><em>x</em><em>+</em><em>5</em><em>)</em>
<em>(</em><em>x</em><em>+</em><em>5</em><em>)</em><em>(</em><em>x</em><em>+</em><em>1</em><em>)</em>
<em>x</em><em>+</em><em>5</em><em>=</em><em>0</em><em> </em><em> </em><em> </em><em>x</em><em>+</em><em>1</em><em>=</em><em>0</em>
<em>x</em><em>=</em><em>-</em><em>5</em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>x</em><em>=</em><em>-</em><em>1</em>