We must know that the volume of a triangular prism is the area of the base multiplied by the height.
Let's first identify our values:
36m = height of prism
5m = base of triangle
3m = height of triangle
First, we must know the formula to calculate the area of a triangle.
Area = base × height ÷ 2
5 is the base of the triangle and 3 is the height. 5 × 3 =15
15 ÷ 2 = 7.5
The area of the base is 7.5
The last step we have to do to find the area of the triangular prism is we multiply the area of the triangle by the height of the prism.
7.5 × 36 = 270
Therefore, the volume of the triangular prism is 270
Answer:
A) probability that at least x of them will require repairs is less than 0.5 is 4
Step-by-step explanation:
sample size, n = 20
p = success probability of toaster = 0.2
q = failure probability of toaster =1- p = 1- 0.2 =0.8
mean, , μ = n * p = 20 * 0.2 = 4
standard deviation,
a) the probability that at least some of them require repairs < 0.5.
for value of z = 0
we know
from z table
X = 4
B) SECOND PART IS INCOMPLETE { DATA IS INCOMPLETE}
9514 1404 393
Answer:
(c) 1.649
Step-by-step explanation:
For a lot of these summation problems it is worthwhile to learn to use a calculator or spreadsheet to do the arithmetic. Here, the ends of the intervals are 1 unit apart, so we only need to evaluate the function for integer values of x.
Almost any of these numerical integration methods involve some sort of weighted sum. For <em>trapezoidal</em> integration, the weights of all of the middle function values are 1. The weights of the first and last function values are 1/2. The weighted sum is multiplied by the interval width, which is 1 for this problem.
The area by trapezoidal integration is about 1.649 square units.
__
In the attached, we have shown the calculation both by computing the area of each trapezoid (f1 does that), and by creating the weighted sum of function values.
