Multiply the 2 numbers by how long she spoke
Answer:
2(x+9)
Step-by-step explanation:
2x+18
find the common number which can fit into 2x and 18
in this case the number is 2
so; 2(x+9)
Answer: OPTION D.
Step-by-step explanation:
First, it is important to know the definition of "Chord" and "Arcs" in circles.
A Chord is defined as a segment that joins any two points of a circle.
An Arc is defined as portion of the circumference of a circle.
By definition:
1) If two chords of a circle are congruent (which means that they have equal measure), then their intercepted Arcs are also congruent.
2) If the Arcs are congruent, then they have congruent chords.
In this case, you know that the <em>Arc GH</em> and the <em>Arc JK</em> are congruent. Therefore, you can conclude that the <em>Chord GH</em> and the <em>Chord JK</em> are also congruent.
Then, knowing that:
You can determine that:
Complete question :
Two researchers, Jaime and Mariya, are each constructing confidence intervals for the proportion of a population who is left-handed. They find the point estimate is 0.13. Each independently constructed a confidence interval based on the point estimate, but Jaime’s interval has a lower bound of 0.097 and an upper bound of 0.163, while Mariya’s interval has a lower bound of 0.117 and an upper bound of 0.173. Which interval is wrong? Why?
Answer:
Mariya's interval
Step-by-step explanation:
Point estimate = 0.13
Mariya's confidence interval :
Lower boundary = 0.117
Upper boundary = 0.173
Jamie's confidence interval :
Lower boundary = 0.097
Upper boundary = 0.163
The correct confidence interval should have an average value equal to the value of the point estimate ;
Jamie's confidence interval average :
(0.097 + 0.163) / 2 = 0.26 / 2 = 0.13
Mariya's confidence interval average :
(0.117 + 0.173) / 2 = 0.29 / 2 = 0.145
Based on the confidence interval average obtained we can conclude that Mariya's interval is wrong as it the average obtained is greater than the point estimate.
0.145 > 0.13
