Pls me asap about 75% of the girls in grade 7 at grande rock middle school prefer colored jeans to the regular blue ones. the randomly generated numbers in the table simulate this situation. the letter c represents colored jeans, and b represents blue jeans. cccbc bbccc ccbbc ccbbc b cbccc b bbccc cccbb cbccc bccbc cccbb b b cccbc ccbcc based on the data, the estimated probability that exactly four out of five girls prefer colored jeans is

The estimated probability that exactly four out of five girls prefer colored jeans is  : 0.45 or 45%

We are given a simulation as:

  CCCBCBBCCC  CCBBC   CCBBC

    B    CBCCC

  B   BBCCC    CCCBB

  CBCCC    BCCBC    CCCBB

  B  B   CCCBC    CCBCC

where  C represents colored jeans, and B represents blue jeans.

This means that the total number of outcomes is: 20

Now we are asked to find the estimated probability that exactly four out of five girls prefer colored jeans.

This means that we have to find the probability of simulation that have exactly 4 'C' in it.

Such outcomes are:  CCCBC    B   CBCCC    B    CBCCC  B   B    CCCBC    CCBCC

Hence, total number of such outcomes=9

Hence, the estimated probability is:

       9/20=0.45

              Hence, probability is:

                  0.45 or 45%

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.