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Annette [7]
3 years ago
10

Mason plays a game by flipping two fair coins.He wins the game if both coins land facing heads up. If Mason plays 200 times, how

many times should he expect to win? Explain .
Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

Therefore Mason would be expected to win 50 times.

Step-by-step explanation:

i) probability of flipping a head for a fair coin is \frac{1}{2}

ii) probability of flipping two fair coins is = \frac{1}{2} \times \frac{1}{2}  = \frac{1}{4}

iii) Therefore if Mason plays 200 times he would be expected to win

    = \frac{1}{4} \times 200 =  50\hspace{0.1cm} times.

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k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.
svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If \frac12^{1-k}=\frac18

Then

\frac1{2^{1-k}}=\frac18=\frac1{2^3}

So

1-k = 3

From this follows k = -2

3 0
3 years ago
Two groups of staff at a store are making flowers to decorate the entrance. If Group A were to do it alone, it would take them 1
Tcecarenko [31]

Answer:

\dfrac{6750}{7}

Step-by-step explanation:

Let x be the number of flowers. If Group A were to make x flowers alone, it would take them 10 hours to complete the task, then they make \dfrac{x}{10} flowers in an hour.  If Group B were to make x flowers alone, it would take them 15 hours to complete the task, then they make \dfrac{x}{15} flowers in an hour.

The groups decided to work together. They can make \dfrac{x}{10}+\dfrac{x}{15}=\dfrac{x}{6} together in an hour and it takes them \dfrac{x}{\frac{x}{6}}=6 hours. Group B took a break for 1 hour and 40 minutes (1\dfrac{2}{3} hour), then Group B works

6-1\dfrac{2}{3}=4\dfrac{1}{3} hours.

Thus,

\dfrac{x}{10}\cdot 6-\dfrac{x}{15}\cdot 4\dfrac{1}{3}=300,\\ \\\dfrac{3x}{5}-\dfrac{13x}{45}=300,\\ \\14x=300\cdot 45=13500,\\ \\x=\dfrac{13500}{14}=\dfrac{6750}{7}.

6 0
3 years ago
X^2+2y=19<br> X^2+y^2=34
Katen [24]

Answer:

x=3

y=5

Step-by-step explanation:

3×3=9

5×5=25

9+25=34

[3^2+5^2=34]

3^2=9

2×5=10

9+10=19

[3^2+2×5=19]

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B80%7D%7B100%7D%20%20%3D%20" id="TexFormula1" title=" \frac{80}{100} = " alt=" \f
alukav5142 [94]
Answer: 0.8 or 80% (either way is correct)

Explanations 80/100 equals 80 divided by 100 which equals 0.8 ; 0.8 equals 80%

(Hope this helps!)
3 0
3 years ago
Read 2 more answers
−2⋅f(−6)−7⋅g(−7)=<br> what is the answerrr
Mrrafil [7]

Answer:

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