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Bumek [7]
3 years ago
14

5. Twenty-five sixth-grade students entered a math contest consisting of 20 questions. The student who

Mathematics
1 answer:
Grace [21]3 years ago
6 0

Answer:

two coins are flipped:

  • if dime land heads and nickel land heads then Allan wins
  • if dime land heads and nickel land tail then Beth wins
  • if dime land tail and nickel land heads then Carlos wins
  • if dime land tail and nickel land tail then Denesha wins

Step-by-step explanation:

The method described above is fair since the probability of each case is 0.25.

If the two coins are flipped:

  • The probability dime land head is 0.5
  • The probability dime land tail is 0.5
  • The probability nickel land head is 0.5
  • The probability nickel land tail is 0.5

Then the probability dime land heads and nickel land heads is 0.5 × 0.5 = 0.25.

The other four cases are calculated similarly and their probability is also 0.25

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A coordinator will select 6 songs from a list of 9 songs to compose an event's musical entertainment lineup. How many different
g100num [7]

Answer:

84 different lineups are possible

Step-by-step explanation:

The order in which the songs are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

6 musics from a set of 9. So

C_{9,6} = \frac{9!}{6!(9-6)!} = 84

84 different lineups are possible

4 0
3 years ago
What is the common denominator as a fraction of 5/4 and 11/16
trasher [3.6K]
16 is the greatest common denominator
7 0
3 years ago
Read 2 more answers
A fan is marked up 40% on the original price. The original price was $20. What is the new price of the fan before sales tax?
Andre45 [30]

Answer:

  $28

Step-by-step explanation:

The markup was 0.40×$20 = $8, so the new price is ...

 $20 +8 = $28

7 0
3 years ago
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Crazy boy [7]

Answer:

SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.

The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4

The hypotenuse is 8inches longer than the shorter leg:  c = a + 8

 

Use the Pythagorean Theorem:

 

a2 + b2 = c2

a2 + (a+4)2 = (a+8)2

a2 + a2 + 8a + 16 = a2 + 16a + 64

a2 - 8a - 48 = 0

 

Factors to:

 

(a-12)(a+4) = 0

a = 12, -4

 

Since we can't have a side of -4, a = 12

Shorter Leg = 12 inches

Longer Leg = 12 + 4 = 16 inches

Hypotenuse = 12 + 8 = 20 inches

6 0
3 years ago
I need help plz problem attached, Thanks.
Ivenika [448]
The answer would be -1 14/15
3 0
3 years ago
Read 2 more answers
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