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##### Of the 560 students at Roosevelt Middle School, 240 participate in after-school sports. Of the 720 students at King Middle School, 300 participate in after-school sports.a. In which school does the greater number of students participate in sports?b. In which school does the greater fraction of students participate in sports?
Of the 560 students at Roosevelt Middle School, 240 participate in after-school sports. Of the 720 students at King Middle School, 300 participate in after-school sports. a. In which school does the greater number of students participate in sports? b. In which school does the greater fraction of stu...
##### A prismatic bar $A D$ of length $L$, cross-sectional area $A,$ and modulus of elasticity $E$ is subjected to loads $5 P, 3 P$ and $P$ acting at points $B, C,$ and $D,$ respectively (see fig- ure). Segments $A B, B C,$ and $C D$ have lengths $L / 6, L / 2,$ and $L / 3,$ respectively. (a) Obtain a formula for the strain energy $U$ of the bar. (b) Calculate the strain energy if $P=27 \mathrm{kN}, L=$ $130 \mathrm{cm}, A=18 \mathrm{cm}^{2},$ and the material is aluminum with $72 \mathrm{GPa}$
A prismatic bar $A D$ of length $L$, cross-sectional area $A,$ and modulus of elasticity $E$ is subjected to loads $5 P, 3 P$ and $P$ acting at points $B, C,$ and $D,$ respectively (see fig- ure). Segments $A B, B C,$ and $C D$ have lengths $L / 6, L / 2,$ and $L / 3,$ respectively. (a) Obtain a for...
##### The repair time for air conditioning units has a normal distribution with a mean 38 minutes and a standard deviation of 12 minutes(a) Find the probability that the repair time for an air conditioning unit will be less than 45 minutes_(b) What repair time separates the longest 2.5% of all air conditioning repair times from the rest?
The repair time for air conditioning units has a normal distribution with a mean 38 minutes and a standard deviation of 12 minutes (a) Find the probability that the repair time for an air conditioning unit will be less than 45 minutes_ (b) What repair time separates the longest 2.5% of all air condi...
##### Remaining How Did Do?" Uses: 0/1 Consider the function f (0,00) R (that is, real-valued wiith domain 0, 00)) given by f(r) 222 4ln(z) Find all the critical numbers of f and that is , all the potential extrema andlor inflection points. There are three of them; enter their approximate values , correct to at least two decimal places the first column of the table belovi; ascending order The second column consisis of severa drop-down Menms Do the following: for each of the intervals of (0,0) def
Remaining How Did Do?" Uses: 0/1 Consider the function f (0,00) R (that is, real-valued wiith domain 0, 00)) given by f(r) 222 4ln(z) Find all the critical numbers of f and that is , all the potential extrema andlor inflection points. There are three of them; enter their approximate values , co...
##### In Exercises 39-42, find the volume of the solid analytically. The base of the solid is the disk $x^{2}+y^{2} \leq 1 .$ The cross sections by planes perpendicular to the $y$ -axis between $y=-1$ and $y=1$ are isosceles right triangles with one leg in the disk.
In Exercises 39-42, find the volume of the solid analytically. The base of the solid is the disk $x^{2}+y^{2} \leq 1 .$ The cross sections by planes perpendicular to the $y$ -axis between $y=-1$ and $y=1$ are isosceles right triangles with one leg in the disk....