2x − 3 < x + 2
∴ x − 3 < 2
∴ x < 5
x + 2 ≤ 3x + 5
∴ 2 ≤ 2x + 5
∴ -3 ≤ 2x
∴ -3/2 ≤ x
<span>-3/2 ≤ x < 5</span>
Answer:
b
Step-by-step explanation:
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Answer:
a) The decimal point is 1 digit(s) to the right of the |
0 | 6
1 | 0
2 | 35
3 | 26
4 | 1
5 | 2257
6 | 045
7 | 0456789
8 | 001125
9 | 258
b) The relative frequency histogram as attached diagram.
As shown, the plot is skewed to the left.
c)
i) mean = 62.7
ii) median = 72
iii) Standard deviation = 24.87923
Step-by-step explanation:
a) The first approach is to sort the data in ascending or descending order. Next, we Identify the minimum grade and the maximum grade. We then list the stems based on the minimum and maximum. And we construct the stem and leaf diagram as show. The first digit represents the stem and the last digit represents the leaf.
As shown, all the grade are two digits value, with minimum as 06 and maximum as 98. In this case, the first stem is 0 and the last stem is 9.
Others (b & c) are just the usual calculations.
-1+(-3) is 3 units from -1 in the left direction
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
because we know that
in the real line if we go 3 units in left from -1 we get -4
since in the real number line
the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............
thus we get
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
learn more about of direction here
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Four quarters are .066 thick
20 nickels are 1.48 thick
<span>So your answer is 1.21 inches thicker or about 1 1/4 thicker</span>