9514 1404 393
Answer:
x = 115
Step-by-step explanation:
The sum of angles in a hexagon is 720°.
x +118 +90 +112 +131 +154 = 720
x = 115 . . . . . . . subtract 605
Answer:
The probability that all 4 units are good is 10.66%.
Step-by-step explanation:
Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:
14 - 6 = 8
8/14 x 8/14 x 8/14 x 8/14 = X
0.5714 x 0.5714 x 0.5714 x 0.5714 = X
0.1066 = X
0.1066 x 100 = 10.66
Therefore, the probability that all 4 units are good is 10.66%.
Answer:
11 X 34 then divide that by two which is 187
Step-by-step explanation:
The surface of a spherical conductor of radius a is kept at a temperature of u(φ)=300K+50K cos(φ). The temperature inside is governed by the Laplace equation. Find an expression for the temperature everywhere inside the sphere. Evaluate the temperature at the center of the sphere.
You will be using the equation y = mx + b
The only variables you need to find are "m" and "b"
For the equation of a line to be perpendicular to the given line, the slope will have to be the opposite of the given slope. Or you have to flip the sign and the number of the given slope to get your new slope.
For example:
m = -2
perpendicular slope = 1/2(positive)
m = 3/4
perpendicular slope = -4/3(negative)
The slope of the line is -1.5 or -3/2
Your new slope is 2/3
y = 2/3x + b
To find "b", you plug in the point (2,0) into the equation.
0 = 2/3(2) + b
0 = 4/3 + b
-4/3 = b
Your new equation is y = 2/3x - 4/3