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Wewaii [24]
3 years ago
6

Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influenc

e the  probability that it will land heads up. Based on your understanding of theoretical probability, explain to your little brother why his theory of influence is false.
Mathematics
1 answer:
coldgirl [10]3 years ago
8 0
<h2>Answer explanation:</h2>

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}

So the factor effecting probability is just the number of  favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

P(H)=\dfrac{1}{2}=0.5=50\%

To get heads always this should be 1 , which can be happen if number of  favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

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Find C.
nasty-shy [4]

Answer:

C=69.1^{\circ}

Step-by-step explanation:

The Law of Cosines is given as:

c^2=a^2+b^2-2ab\cos C.

Plugging in given values, we get:

16^2=8^2+17^2-2\cdot 8\cdot 17\cdot \cos C,\\\cos C=\frac{-97}{-272},\\C=\arccos(\frac{97}{272}),\\C=\fbox{$69.1^{\circ}$}.

3 0
3 years ago
9000 is 10 times as much as?
Zanzabum

Answer:

900

Step-by-step explanation:

4 0
3 years ago
What would you Estimate 0.49
love history [14]

Answer:

. 50

Step-by-step explanation:

You would round to the closest number

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5 0
3 years ago
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List all the factors of the number 48.
Anni [7]
The answer would be 1,2,3,4,6,8,12,16,24,48

hope this helps!
4 0
3 years ago
During a tunnel construction project, engineers used explosives to excavate partway into a mountain. Because of time constraints
AnnyKZ [126]

The given data can be tabulated as:

number of days,x                            length of tunnel (ft), y

0                                                                              225

5                                                                              350

20                                                                           725

30                                                                           975

55                                                                           1,600

 

To check if the growth is linear, the slope at points (0, 225) and (5, 350), and (0, 225) and (20, 725) should be equal. The formula for slope is:

m = (y2 – y1) / (x2 – x1)

 

Finding for slope (0, 225) and (5, 350):

m = (350 – 225) / (5 – 0) = 25

 

Finding for slope (0, 225) and (20, 725):

m = (725 – 225) / (20 – 0) = 25

 

Therefore the equation is linear in the form of:

y = mx + b

where b is the value of y at x = 0, so b = 225

 

The complete equation is:

y = 25x + 225

 

At x = 86 days

y = 25(86) + 225

y = 2,375 ft

 

Therefore the length of the completed tunnel is 2,375 feet.

5 0
4 years ago
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