NO LINKS! Amelia built a scale model of a float, using the scale 48:7. The measurements of the actual float are given in this table. What is the length of the scale model of the float?

Drag and drop a number into the box.

Measurements are rounded to the nearest inch.

Length of float (in.)

Actual Measurements

Dimension Measurement

Length 97 inches

Width 54 inches

Height 72 inches

9514 1404 393

Step-by-step explanation:

The model scale tells you ...

  (model dimension) / (actual dimension) = 7/48

Multiplying by the actual dimension, we get ...

  model dimension = (actual dimension)×7/48

Then ...

  model length = (97 in)(7/48) = 14 7/48 in ≈ 14 in

  model width = (54 in)(7/48) = 7 7/8 in ≈ 8 in

  model height = (72 in)(7/48) = 10 1/2 in ≈ 11 in

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560