Answer:
Step-by-step explanation:
A direct variation equation has the following format:
Where k is a constant.
We know that y is 12 when x is -2. Thus, substitute:
Divide both sides by -2:
So, our direct variation equations is:
To find what x is when y equals -6, substitute in -6 for y:
Divide both sides by -6:
So, our answer is 1 :)
Answer:
Sales are expected to increase positively.
Step-by-step explanation:
The model is y =7-3*X1+5*X2
Here, y is the depended variable and X1 and X2 are independent variable.
Holding the unit price constant X2 (television advertisement) is increase by $1 dollar
SSR= 3500
SSE=1500
So, TSS = SSR+SSE = (3500+1500) = 5000
Now r^2= 1 - (SSR/TSS) = 1 - (3,500/5,000) = 1 - 0.70 = 0.30
So, the sample correlation coefficient (r) = (0.3)^(1/2) = 0.547
We can conclude that sample correlation indicates a strong positive relationship.
Answer:
(-1,-1)
Step-by-step explanation:
If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).
Answer:
Delivery cost per minute = $0.3 per minute
Step-by-step explanation:
Given:
Cost of pizza = $12
Total amount pay by Ruby = $15
Time taken for delivery = 10 minutes
Find:
Delivery cost per minute
Computation:
Total amount of delivery = Total amount pay by Ruby - Cost of pizza
Total amount of delivery = 15 - 12
Total amount of delivery = $3
Delivery cost per minute = Total amount of delivery / Time taken for delivery
Delivery cost per minute = 3 / 10
Delivery cost per minute = $0.3 per minute
Answer:
00:13 mm:ss
Step-by-step explanation:
There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.
<h3>Difference</h3>
It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.
100 s - 87 s = (100 -87) s = 13 s
The difference between the two time periods is 0 minutes and 13 seconds.
<h3>Conversion</h3>
If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:
87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds
= 1 minute 27 seconds
100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds
= 1 minute 40 seconds
Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)
(1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s
The difference between the two time periods is 0 minutes and 13 seconds.
