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Ira Lisetskai [31]
3 years ago
10

A study at a college in the west coast reveals that, historically, 45% of their students are minority students. if a random samp

le of size 75 is selected, the probability is ________ that between 30% and 50% of the students in the sample will be minority students.
Mathematics
1 answer:
Evgesh-ka [11]3 years ago
5 0
100 percent because 45 % is always in between 30 and 50 %
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Find the area of the composite figures. Use 3.14 (pie) when needed
Whitepunk [10]

Answer:

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  2. 61 ft²

Step-by-step explanation:

The dashed lines are included in the figure to help you see how it can be decomposed into shapes you know the area formulas for.

The relevant area formulas are ...

  rectangle: A = LW . . . . . product of length and width

  triangle: A = 1/2bh . . . . . half the product of base and height

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<h3>1.</h3>

There are three rectangles here:

  left: A = (8 cm)(9 cm) = 72 cm²

  top: A = (12 cm)(9 cm) = 108 cm²

  lower right: A = (12 cm)(9 cm) = 108 cm²

The total area of these three rectangles is ...

  (72 +108 +108) cm² = 288 cm²

The area of Figure 1 is 288 cm².

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<h3>2.</h3>

There is a rectangle here, along with a triangle.

  rectangle: A = (10 ft)(4 ft) = 40 ft²

  triangle: A = 1/2(6 ft)(3+4 ft) = 21 ft²

The total area of the parts of the figure is ...

  (40 +21) ft² = 61 ft²

The area of Figure 2 is 61 ft².

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<em>Additional comment</em>

Figure 1 can be decomposed other ways:

  • an overall 18×20 cm rectangle with a 9×8 cm rectangle removed from the upper left corner
  • a 9×20 rectangle at the bottom with a 9×12 rectangle at the top
  • a 9×8 rectangle at the left with an 18×12 rectangle at the right

Another way to decompose Figure 2 is as a trapezoid with a rectangle removed from the lower left. The trapezoid would have bases 10 and 10+6=16, and a height of 4+3=7. The removed rectangle is 10×3. (The computation we did is probably simpler.)

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Check the picture below.

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