There are 100 gumdrops. 78 of them are large, and the rest are small. 33 of them are red, and the rest are other colors. 16 of the gumdrops are large red ones. You choose 1 gumdrop at random, and it is that yummy red color. What is the probability that the gumdrop is large, given that it is red?Write fractions using the slash ( / ) key. Reduce fractions to their lowest terms.

Answers

Answer 1

Answer: large red ones= 16/78
33-16=17 small gumdrops

22 gumdrops are small
small red ones=17/22

Probability of large and small red ones:
prob. of large red ones: 16/78+22/22= 38/100=38%
prob. of small red ones: 17/22+78/78= 95/100=95%

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If a cylinder’s radius and height are each shrunk down to a third of the original size, what would be the formula to find the modified surface area?

Answers

We let

r1 = the original radius of the cylinder

r2 = the new radius of the cylinder

h1 = the original height of the cylinder

h2 = the new height of the cylinder

SA = surface are of the cylinder

the radius and the height are shrunk down to a third of their value therefore

r2 = r1/3

h2 = h1/3

SA = 2(PI)r^2 + 2(PI)rh

SA = 2(PI)[(r1^2)/9] +2(PI)(r1/3)(h1/3)

Simplifying

SA = [2(PI)r]/9 * (r1 + h1)

Y-1=5/6(x-4) in standard form

Answers

   y - 1 = ⁵/₆(x - 4)
   y - 1 = ⁵/₆(x) - ⁵/₆(4)
   y - 1 = ⁵/₆x - 3¹/₃
   + 1    + 1
             y = ⁵/₆x - 2¹/₃
      ⁻⁵/₆x + y = ⁵/₆x - ⁵/₆x - 2¹/₃
   -6(⁻⁵/₆x + y) = -6(-2¹/₃)
-6(⁻⁵/₆x) - 6(y) = 14
         5x - 6y = 14

If you would like to write the equation Y - 1 = 5/6 * (x - 4) in standard form, you can do this using the following steps:

Y - 1 = 5/6 * (x - 4)
Y - 1 = 5/6 * x - 5/6 * 4
Y - 1 = 5/6 * x - 10/3
Y - 5/6 * x = 1 - 10/3
Y - 5/6 * x = - 7/3 /*6
6 * Y - 5 * x = - 14

The correct result would be 6 * Y - 5 * x = - 14.

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