Answer: A. (5/4, 2)
Explanation:
2x-4=0
4x-5=0
2x=4
4x=5
x=2
x= 5/4
I have no idea what that x is doing, so imma take it out.
2+x-5≤0
-3+x≤0
+3 +3
x≤3
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hope it helps
You want to find values of v (number of visors sold) and c (number of caps sold) that satisfy the equation
... 3v + 7c = 4480
In intercept form, this equation is
... v/(1493 1/3) + c/640 = 1 . . . . . divide by 4480
Among other things, this tells us one solution is
... (v, c) = (0, 640)
The least common multiple of 3 and 7 is 21, so decreasing the number of caps sold by some multiple of 3 and increasing the number of visors sold by that same multiple of 7 will result in another possible solution.
The largest multiple of 21 that is less than 4480 is 213. Another possible solution is (0 +213·7, 640 -213·3) = (1491, 1)
We can also pick some number in between, say using 100 as the multiple
... (0 +100·7, 640 -100·3) = (700, 340)
In summary, your three solutions could be
... (visors, caps) = (0, 640), (700, 340), (1491, 1)
Answer:
Range = 13
Variance = 10.22
Standard deviation = 3.20
Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.
Step-by-step explanation:
We are given the number of hurricanes that occurred in each year in a certain region.
8 9 8 7 9 15 5 6 8 4 12 7 8 2
Range:
The range of the data set is found by
Range = Maximum value - minimum value
The maximum value in the data set is 15
The minimum value in the data set is 2
Range = 15 - 2
Range = 13
Variance:
To find the variance, first compute the mean of the data set.
Mean = Sum/n
Mean = (8+9+8+7+9+15+5+6+8+4+12+7+8+2)/14
Mean = 108/14
Mean = 7.714
The variance is given by
σ² = (x - mean)²/(n - 1)
σ² = (8 - 7.714)² + (9 - 7.714)²+ (8 - 7.714)² + (7 - 7.714)² + (9 - 7.714)² + (15 - 7.714)² + (5 - 7.714)² + (6 - 7.714)² + (8 - 7.714)² + (4 - 7.714)² + (12 - 7.714)² + (7 - 7.714)² + (8 - 7.714)² + (2 - 7.714)²/(14 - 1)
σ² = 10.22
Standard deviation:
The standard deviation of the data set is given by
σ² = √σ
σ² = √10.22
σ² = 3.20
Since this data is time-series therefore, the measures of variation do not reveal anything about the pattern of hurricanes over time.
