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astra-53 [7]
3 years ago
9

one-eighth of the 32 students in the class went abroad for fall break. how many students went abroad?

Mathematics
1 answer:
yarga [219]3 years ago
4 0
4 students went abroad.  32 divided by 8 is 4.  If you take 1 group of the 8 that is 4 students going abroad
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The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb,
NNADVOKAT [17]

Answer:

bbbb,

bbbg, bbgb, bgbb, gbbb,

bbgg, bgbg, bggb, gbgb, gbbg, ggbb,

bggg, gbgg, ggbg, gggb,

gggg

Step-by-step explanation:

3 children: bbb, bbg, bgb, gbb, bgg, gbg, ggb, ggg

4 children: bbbb, bbbg, bbgb, bgbb, gbbb, bbgg, bgbg, bggb, gbgb, ggbb, bggg, gbgg, ggbg, gggb, gggg

You need to take a methodological approach;

The 2 easiest are the possibility of all boys and all girls;

Then consider 3 boys and 1 girl:

bbbg, bbgb, bgbb, gbbb

Then 2 boys and 2 girls:

bbgg, bgbg, bggb, gbgb, gbbg, ggbb

Lastly, 1 boy and 3 girls:

bggg, gbgg, ggbg, gggb

In total, there are 16 possibilities

P.S. interesting to note is that the number of possibilities here follows the pattern of Pascal's triangle:

       1

     1   1

   1  2  1

 1  3  3  1

1  4  6  4  1

The last row is relevant here;

There is 1 possibility where there are 4 boys;

There are 4 possibilities (in terms of the order of birth) where there are 3 boys and 1 girl;

There are 6 possibilities where there are 2 boys and 2 girls

There are 4 possibilities where there is 1 boy and 3 girls;

There is 1 possibility where there are 4 girls;

The pattern ∴ is 1 4 6 4 1, as the 5th row of Pascal's triangle reads;

If your talking about 3 children, it would match the 4th row of Pascal's triangle;

So, 1 possibility of 3 boys;

3 possibilities of 2 boys and 1 girl;

3 possibilities of 1 boy and 2 girls;

And 1 possibility of 3 girls;

If your talking about 10 children, it would match the 11th row of Pascal's triangle.

(Maths can be so cool XD)

7 0
3 years ago
Please help! please show the work and not give me and answer thank you ❤️
Citrus2011 [14]

Ans. 1 Angle E and angle F are corresponding angles.

Solution 2.

So,

angle E = angle F

=> x + 20 = 5x - 20

=> x + 20 + 20 = 5x

=> x + 40 = 5x

=> 40 = 5x - x

=> 40 = 4x

=> 40/4 = x

=> 10 = x

Solution 3.

E = x + 20

=> E = 10 + 20

=> E = 30

F = 5x - 20

=> F = 5(10) - 20

=> F = 50 - 20

=> F = 30

<em>Again</em><em> </em><em>justified</em><em> </em><em>that </em><em>they </em><em>are </em><em>equal</em><em> (</em><em> </em><em>besides</em><em> </em><em>answer </em><em>1</em><em>)</em><em>.</em>

8 0
3 years ago
What is the internal angle sum of a quadrilateral? (Hint: A quadirlateral has 4 sides.) OA) 90 OB) 180 OC) 360 OD 540
shtirl [24]

The internal angle sum of a quadrilateral is :

C. 360°

The sum of internal angles of a polygon is determined by a formula :

\longmapsto (n - 2) × 180°

where n represents number of sides.

In a quadrilateral there are four sides,

So, plugging 4 in the formula :

  • (4 - 2) \times 180°

  • 2 \times 180°

  • 360°

_____________________________

\mathrm{ \#TeeNForeveR}

5 0
3 years ago
Read 2 more answers
A square has an area of 561.69m2. Work out the perimeter of the square.
lara [203]

Answer:

The answer is 94.8 m

Step-by-step explanation:

Area of a square is a²

So, 23.7² = 561.69 m²

The side of the square is equal to 23.7 m

Perimeter of a square is the side multiplied by 4

So we have that 23.7 x 4 = 94.8 m

4 0
3 years ago
How much 20% solution needs to be added to a 60% solution to make 400 ml of a 40% solution
Scorpion4ik [409]

Let x be the volume of 20% solution, y the volume of the 60% solution. We want a total volume of 400 mL in the final mixture, so

x+y=400

Each mL of either solution will contribute a corresponding concentration, and in the final mixture we want the 400 mL to have a 40% concentration, which means we should also have

0.2x+0.6y=0.4\times400=160

Solve the system and we get x=y=200\,\rm{mL}.

4 0
3 years ago
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