The line plot shows the weights of packages of meat purchased at a supermarket. Which of the following conclusions about the lin
e plot are true? Select all that apply.
A.
The difference between the greatest and least weights of the packages is 1/2 pound.
B.
1/4 of the packages weigh 5/8 pound.
C. 6 different packages of meat were purchased in total, each package with a different weight.
D. The number of packages that weigh 1/18 pounds is 3 times the number that weigh 3/4 pound.
E. All of the packages weigh more than 1/2 pound.
A.
The difference between the greatest and least weights of the packages is 1/2 pound.
B.
1/4 of the packages weigh 5/8 pound.
C. 6 different packages of meat were purchased in total, each package with a different weight.
D. The number of packages that weigh 1/18 pounds is 3 times the number that weigh 3/4 pound.
E. All of the packages weigh more than 1/2 pound.
2 answers:
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Hi there!
Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
Answer:
Step-by-step explanation:
The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.
Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality
15<5x-3<17
Add 3 to this inequality
15+3<5x-3+3<17+3
18<5x<20
Divide it by 5: