A loose definition of a normal distribution is when the data follows a bell curve.
The number of minutes to complete a maraton and the pareticipants age varies from person to person and could plausibly follow a bell curve.
However, the number of miles in a marathon is a fixed value, and is not normally distributed.
The ladder forms a right-angle triange with the ground and the wall.
Looking at the angle between the ladder and the ground, this means the ladder is the hypotenuse, the wall is the opposite side, and the ground is the adjacent side.
We know the length of the ladder (18 ft) and the height of the wall (17.3 ft), so we know the hypotenuse and opposite side lengths, so we can use sin to calculate what the angle between the ladder and the ground would have to be.
74 is less than 75, so the ladder will be safe.
First, rewrite the equations so y is on it's own.
Because both equations are equal to y, we can say they are equal to each other and solve for x.
Then subsitute this value for x into either of the original equations to find the value of y.
So x = 0.8 and y = -3
The equation for the volume of a rectangular prism is:
\(Volume=width\times length\times height\)
If we multiply the width by 2, the length by 3, and the height by 4 in this equation, we have to do the same to the other side so the equation remains true.
\(2\times3\times4\times Volume=(2\times width)\times(3\times length)\times(4\times height)\)
\(24\times Volume=(2\times width)\times(3\times length)\times(4\times height)\)
Therefore the volume will be 24 times it's original value.