Let x denote the proportion of allotted time that a randomly selected student spends working on a certain aptitude test. suppose the pdf of x is f(x; u) 55(u 1 1)xu 0 # x # 1 0 otherwise where 21 , u. a random sample of ten students yields data x1 5 .92, x2 5 .79, x3 5 .90, x4 5 .65, x5 5 .86, x6 5 .47, x7 5 .73, x8 5 .97, x9 5 .94, x10 5 .77. a. use the method of moments to obtain an estimator of u, and then compute the estimate for this data. b. obtain the maximum likelihood estimator of u, and then compute the estimate for the given data.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

yes because they have the same amount of green and blur marbles.

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get