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Determine whether the given function can serve as the probability distribution (probability mass function) of random variable with given range: (a) f(x) = x−2/5 for x = 1, 2, 3, 4, 5 (b) f(x) = 2x/k(k+1) for x = 1, 2, 3, · · · , k
Michael has a ladder set up to clean the gutters of his house. The top of the ladder reaches the base of the gutter, 30 feet from the ground. If the ladder is 32 feet tall, how far from the base of the house is the base of the ladder?
A principal at a certain school claims that the students in his school are above average intelligence. A random of thirty (30) students IQ scores have a score of 112. Is there sufficient evidence to support the principal’s claim?
The mean population IQ is μ= 100 with a standard deviation of 15.
Alpha = 0.01
Based on the above data we should
a. not reject H0. b. reject H0.
Running from the top flagpole to a hook in the ground there is a rope that is 10 meters long. If the hook is 8 meters from the base of the flagpole, how tall is the flagpole?
Jeremy cut a rhombus out of a 10-inch rectangle. The diagonals of the rhombus are parallel and perpendicular to the sides of the rectangle and are congruent to the length and width of the rectangle, respectively. What is the total area of the four shaded triangles?
Solve the following polynomial equation using formula method
3x²+9x+7=0
Solve the following polynomial equation using factorization method
X³+2x²‐9x‐18=0
Change the following point from rectangular to polar coordinate
‐ Square root of 3,2
Ii.change the following point from polar to rectangular coordinate
(3/2, n/12)
Assume that family incomes are normally distributed with mean P30,000 and standard deviation of P10,000. If the poverty level is P10,000, find the percentage of the population that lies in poverty.
The 10 by 10 square shows an office floor plan composed of four congruent 8-sided cubicles. What is the area of one of these irregular 8-sided cubicles?
A house which is valued at ksh2600,000 appreciated at rate of 12% per year.
I. What will be its value after two and half years?
Ii. After how long will its value be ksh 4200,000
