Answer:
72 cubic yards
Step-by-step explanation:
The volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Here, the base is a triangle, so its area is given by ...
A = 1/2bh
where b is the base of the triangle, and h is the height perpendicular to the base.
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Using these formulas with the dimensions given, we have ...
B = 1/2(8 yd)(3 yd) = 12 yd²
V = (12 yd²)(6 yd) = 72 yd³
The volume of the triangular prism is 72 cubic yards.
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<em>Additional comment</em>
Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.
Answer:
<u>Please read below.</u>
Step-by-step explanation:
The instructions were followed, horizontal or vertical path and never diagonal:
75 76 81 66 65 14 13 8 7
74 77 80 67 64 15 12 9 6
73 78 79 68 63 16 11 10 5
72 71 70 69 62 17 2 3 4
55 56 57 58 61 18 1 22 23
54 53 52 59 60 19 20 21 24
45 46 51 50 37 36 31 30 25
44 47 48 49 38 35 32 29 26
43 42 41 40 39 34 33 28 27
Answer:
x = -6 and -1
Step-by-step explanation:
x^2 + 6x + 7
Factorise- find two numbers that multiply to be 6 and add to be 7: 6 and 1
(x+6)(x+1)
Set each expression equal to 0 and solve
x + 6 = 0 -> x = -6
x + 1 = 0 -> x = -1
Answer:
Step-by-step explanation:
Greatest Common Divisor [GCD]: 50
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Answer:
The standard error of the sampling distribution of sample mean is: 6.5
Step-by-step explanation:
We use the Central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size can be approximated to a normal distribution with mean and standard deviation, which is also called standard error of the sampling distribution of sample mean is
In this problem, we have that:
The standard error of the sampling distribution of sample mean is: 6.5