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Pachacha [2.7K]
3 years ago
11

How many possible birth orders with respect to gender are possible in a family with four children? (For example, BBGG & GGBG

are different orders) How many possible birth orders for a family with 4 children are there ?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0
The answer is 24. You can get this by getting the factorial of the total. 4! is 4 x 3 x 2 x 1 which is equal to 24. 
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A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 4 cm and diameter of t
docker41 [41]

Answer:

See below ~

Step-by-step explanation:

<u>Things to Find</u>

  1. Volume of Toy
  2. Difference of Volumes in Cube and Toy
  3. Total Surface of Toy

<u>Volume of Toy</u>

  • Volume of Hemisphere + Volume (Cone)
  • 2/3πr³ + 1/3πr²h
  • 1/3πr² (2r + h)
  • 1/3 x 3.14 x 16 (8 + 4)
  • 1/3 x 50.24 x 12
  • 50.24 x 4
  • <u>200.96 cm³</u>

<u></u>

<u>Volume of Circumscribing Cube</u>

  • Edge length is same as diameter
  • V = (8)³
  • V = 512 cm³

<u>Difference in Volume</u>

  • 512 - 200.96
  • <u>311.04 cm³</u>

<u></u>

<u>Slant height of cone</u>

  • l² = 4² + 4²
  • l² = 32
  • l = 4√2 cm = 5.6 cm

<u />

<u>Surface Area of Toy</u>

  • CSA (hemisphere) + CSA (Cone)
  • 2πr² + πrl
  • πr (2r + l)
  • 3.14 x 4 (8 + 5.6)
  • 12.56 x 13.6
  • <u>170.8 cm²</u>
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2 years ago
A scuba diver descends in the water at a rate of 20 1/2 feet per minute for 2.8 minutes. He immediately changes course when he s
N76 [4]

Answer:

  • 7.4 feet below sea level

Step-by-step explanation:

Assumed the starting point is the sea level 0.

<u>After 2.8 min the diver is at position:</u>

  • 20 1/2 * 2.8 =
  • 20.5 * 2.8 =
  • 57.4 feet below sea level

<u>The position change after next 2 minutes:</u>

  • 25*2 = 50 feet

<u>The position of the diver after 4.8 min:</u>

  • 57.4 - 50 = 7.4 feet below sea level
3 0
3 years ago
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