Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 4, so the parallel line's slope is also 4.
y = 4x + b
To find "b", plug in the point (-3,5) into the equation.
y = 4x + b
5 = 4(-3) + b
5 = -12 + b Add 12 on both sides
17 = b
y = 4x + 17
Given is the base area of a solid crate, B = 6 square meters.
Given is the height of the solid crate, H = 4 meters.
We know the formula for volume of any solid is given as follows :-
(Volume of the solid) = (Base area of the solid) x (Height of the solid).
Volume = B x H.
Volume = (6 square meters) x (4 meters).
Volume = 24 cubic meters.
Hence, the volume of the solid crate would be 24 cubic meters.
1 + 0.8 + 0.07 + 0.002 + 0.0006 + 0.00008
Answer:
The probability that the number drawn is less than 3 is 0.25
Step-by-step explanation:
Let us assume that each number is equally likely to be drawn. Let X be the number that is drawn, then
for 
.
Then,
Answer:
[2, 5)
Step-by-step explanation:
The vertical extent of the function is its <em>range</em>. Here, that extent is from y=2 to y=5, except that y=5 is <em>not included</em> (indicated by the open circle on the graph). So, the range is ...
2 ≤ y < 5
In interval notation, we use a square bracket when the end point is included, and a curved parenthesis when it is not.
range: [2, 5)
