Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) =
Domain: all x values between the ends of a line on the x- axis
Range: all y values between the ends of a line on the y-axis
A structure which has a square base and four triangular sides meeting at a point is called pyramid.
At distance of 3.97 feet from its vertex , pyramid is cut by plane so that the two solids of equal weight will be formed.
<u>It is assumed that weight of pyramid is proportional to its volume.</u>
So, , where V is volume of original pyramid and v is volume of small pyramid and k is constant.
Let us consider that at h distance, pyramid is cut from its vertex. So a small pyramid is also formed.
Assume that base area of original pyramid is A and base of small pyramid is a.
Volume of original pyramid is,
So, weight of original pyramid,
Volume of small pyramid is,
So, weight of small pyramid,
<u>Since, base and height of small pyramid and original pyramid are in proportion.</u>
So,
Substituting value of a in equation
So,
Since, , substitute in above equation.
So,
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