0.30x represents the expense for the first soda type. 0.35(x+4) signifies the price for the second type of soda. Combine these amounts into an equation structured as:
Cost of Soda A + Cost of Soda B = Total Cost
0.30x + 0.35(x+4)=3.35 --> Expand 0.35(x+4)
0.30x + 0.35x + 1.4 = 3.35 --> Combine the x's and subtract 1.40.65x = 1.95 --> By dividing by 0.65, we find
x = 3
Samir purchases 3 cans of soda priced at 30 cents each and 7 cans (3+4) at 35 cents each. The overall total for Samir's soda is 10 cans.
Answer:
Step-by-step explanation:
The prices he received quotes for are as follows: $663, $273, $410, $622, $174, $374
To begin, we will find the average.
Average = total of data points/ number of data points.
Total of data points =
663 + 273 + 410 + 622 + 174 + 374
= 2516
Total count = 6
Average = 2516/6 = 419.33
Standard deviation = √summation(x - m)^2/n
summation(x - m)^2/n = (663 - 419.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2
= 179417.9334/6 = 29902.9889
Standard deviation = √29902.9889
= 172.9
I think the answer is A
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Part 1) The radius of the circle is r=17 units. Part 2) The points (-15,14) and (-15,-16) are situated on this circle. Step-by-step explanation: Step 1 Find the radius of the circle. We know that the distance from the center of the circle to any point on its circumference equals the radius of the circle. The formula to determine the distance between two points is equal to......we have (-7, -1) and (8, 7) substitute... Step 2 Determine the y-coordinate of point (-15,y). The standard form of the circle's equation is given by... where (h,k) represents the center, and r is the radius. Replace the values, substituting x=-15 in the equation... square root both sides... ultimately, we find two solutions: point (-15,14) and point (-15,-16) refer to the attached figure for a clearer understanding of the problem.
Response:
MAD value comes out to be 3.
Detailed Breakdown:
The given sales forecasts for the last four months are 5, 6, 11, and 12 units.
To calculate the Mean Absolute Deviation (MAD) for these forecasts:
The average of the forecasts across four months is 
.
Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.
Hence, the MAD value will be = 
(Final Answer)
