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lesya [120]
3 years ago
9

2. Ron’s Joke Store offers a coin that is supposed to be weighted toward heads. Caitlin tries out one of these coins.

Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

a) P = 0.125

b) It is not necessarily true

Step-by-step explanation:

a. If the coin was fair, the probability of obtaining head would be 0.5, and each launch of the coin would be an independent event.

Remember that if two events A and B are independent, then:

P(A∩B) = P(A)P(B)

Therefore, the probability that Caitlin would get heads on all three flips is:

P(A∩A∩A) = P(A)P(A)P(A) = 0.5*0.5*0.5 = 0.125

b) It is not necessarily true, because there exist a probability associated to this event and it means that this situation can occur although the coin was fair.

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is
blondinia [14]

Hi there!

\boxed{= 70 + cos(12) - cos(2) \approx 71.26}

\int\limits^{12}_{2} {x-sin(x)} \, dx

We can evaluate using the power rule and trig rules:

\int x^n = \frac{x^{n+1}}{n+1}

\int x = \frac{1}{2}x^{2}

\int -sin(x) = cos(x)

Therefore:

\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}

Evaluate:

(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26

3 0
3 years ago
Christine has a bag of candy that contains 20 red pieces, 10 green pieces, 15 blue pieces, 25 brown pieces, and 10 orange pieces
andrew-mc [135]

Answer:

1/8

Step-by-step explanation:

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10 / 80 = 1/8

4 0
1 year ago
Choose all answers that apply
OlgaM077 [116]

The answer is C.

This is because 7 must be greater than 12-g.

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sergejj [24]

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

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Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

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What is the value of x?<br><br>A. 155°<br>B. 60°<br>C. 35<br>D. 25°​
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Answer: C

Step-by-step explanation:

First, you should see that the bottom right corner is an angle on the other side. So subtract 180 from 95 to get 85. Since all angles in a triangle add up to 180, You do 85 + 60 + x = 180. You simplify further to get 145 + x = 180.

Subtracting 145 from both sides leaves you with x = 35, which gives you C.

So C is the correct answer.

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3 years ago
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