Step-by-step explanation:
(a) use surface area formula of cylinder that is for Lateral surface area and for total surface area
LSA= 2πrh
TSA= 2πr(h+r)
(b) volume of cylinder= πr^2h
..........
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Learn more about inequalities here-
brainly.com/question/24372553
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Hey there! :)
The answer is 80%
6 ÷ 30 = 0.2 = 20%
100 - 20 = 80
Hope this helped :)
Answer:
(a) 0.932
(b) 0.0653
(c) 0.032
(d) 0.316
(e) 0.251
Step-by-step explanation:
From the table with mean parameter μ = 5, we can compute the following cumulative and density probability
(a)
(cumulative)
(b) P(X = 8) = 0.0653 (density)
(c)
(cumulative)
(d)
(cumulative)
(e) ![P(5 < X < 8) = P(X \leq 8) - P(X \leq 5) - P(X = 8) = 0.932 - 0.616 - 0.0653 = 0.251](https://tex.z-dn.net/?f=P%285%20%3C%20X%20%3C%208%29%20%3D%20P%28X%20%5Cleq%208%29%20-%20P%28X%20%5Cleq%205%29%20-%20P%28X%20%3D%208%29%20%3D%200.932%20-%200.616%20-%200.0653%20%3D%200.251%20)