Answer:
Combined volume of the two game systems 
cubic inches
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
Soham's video game system measures 8 inches long, 6 inches wide, and 2 inches tall.
So,
Volume of Soham's video game system = 8 × 6 × 2 = 
cubic inches
As Sean's video game system measures 1 inch longer on all sides,
the video game system measures 
inches long, 
inches wide, and 
inches tall.
Volume of the video game system = 10 × 8 × 4 = 
cubic inches.
Therefore,
Combined volume of the two game systems = 
cubic inches
Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
<u>Set A </u>
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
<u>Set B </u>
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
<u>Set C </u>
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
<u>Set D </u>
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
- Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
- In set C the relationship is non-linear though it is negative.
- Clearly in Set A we could see that the the y is related to x as:
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Hence, the set that represent a negative linear association between x and y is:
Set A.
Answer:
Step-by-step explanation:
(a) Your $160 is correct.
(b) No, this is not a proportional relationship, because the graph does not go through the origin. That, in turn, is because there is a fixed, up-front cost of $120.
(c) The total cost as a function of the number of months, m, is
TC(m) = $120 + ($40/month)m
Part A)
Focus on the first column where it says "test finds student lying" since it asks "what percentage..were found to be lying". We can ignore the second column completely.
We have 282 people found to be lying based on the test (bottom of the first column). Of this total, 200 have not cheated meaning that the student isn't lying. This is based on the overall premise given at the top that states "All of them denied having cheated"
Simply divide the two values: 200/282 = 0.70921985815602 which rounds to roughly 0.7092 if you round to four decimal places
Now move the decimal over 2 spots to the right to convert to a percentage
0.7092 ---> 70.92%
Answer: 70.92%
==============================================================
Part B)
We'll use the result from part A. Subtract it from 100%
100% - 70.92% = (100 - 70.92)% = 29.08%
Answer: 29.08%
Note: another way to get this answer is to divide the values 82 over 282 to get 82/282 = 0.29078014184398 and we get the same answer roughly (after rounding)
==============================================================
Part C)
Now we focus on the second column only. We have 1718 people total and of this total, 12 have cheated. Since they initially deny cheating but they really did cheat, this is a lie they tell.
So 12/1718 = 0.0069848661234 which rounds to 0.0070 and that converts to 0.7%
Note: this isn't 7% or 70%, its point 7 percent
Answer: 0.7%
Answer:
you can either factorise or use tge formula method
