Answer:
See below
Step-by-step explanation:
<em>Refer to attached. All answers included.</em>
- <u>Note. Will mainly refer to y-coordinates in distance questions</u>
<h3>Part A</h3>
- Distance from coffee shop to library: 16 -8 = 8
- Distance from coffee shop to school: 16 - 10 = 6 = x
- Distance from school to library: 10 - 8 = 2 = y
- Ratio x:y = 6: 2 = 3:1
<h3>Part B</h3>
- Distance from Sergio's home to Saskia's home: 19 -3 = 16
- Distance from Sergio's home to Post office: 16*1/4 = 4
- Coordinates of post office: x = 16+4/4= 17, y = 19-16/4= 15
<h3>Part C</h3>
- Distance from Kay's home to twin theater: 20 - 4 = 16
- Distance from twin theater to market: 16*3/4 = 12
- Coordinates of market: x = 5+4/4= 6, y = 4 + 16/4= 8
Answer:
208,606,320
Step-by-step explanation:
A jury pool consists of 27 people. 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman
Total of 27 people. 11 people can be selected from 27 people in 27C11 ways

one additional person be chosen to serve as the jury foreman
after selecting 11 people , remaining is 27 - 11= 16 people
Now 1 is selected from 16 in 16 ways
Number of different ways = 
Answer:
D. The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
Step-by-step explanation:
The treatment group using System A reported a mean of 18.5 lost bags per day. The treatment group using System B reported a mean of 16.6 lost bags per day.
The best conclusion that can be made is - The difference of the means is not significant because the re-randomizations show that it is within the range of what could happen by chance.
As we know, in statistics, nothing happens by chance. So, this option is correct.
Answer:
(E) 0.83
Step-by-step explanation:
We will solve it using conditional probability.
Let A be the event that a TV show is successful.
P(A) = 0.5
A' be event that the show is unsuccessful
P(A') =0.5
Let B be the event that the response was favorable
P(B) = 0.6
Let B' be the event that the response was unfavorable/
P(B') = 0.4
P(A∩B) = 0.5 and P(A∩B') = 0.3
We need to find new show will be successful if it receives a favorable response.
P(A/B) = 
= 0.5/0.6
= 0.833
The angle whose sine is 0.39581 is 23.32 degrees. This is calculated by obtaining the arcsine of the value given above. The sine function is one of the basic functions in trigonometry together with cosine, tangent, cosecant,secant and cotangent.