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3 years ago

Juan is going to flip a coin 2 times. What is the fractional probability that it will be two heads

Mathematics

1 answer:

sertanlavr [38]3 years ago

4 0

Answer:

The fractional probability of getting 2 heads is 1/4.

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Evaluate using Definite integrals

swat32

Since $[0,4]=[0,1]\cup(1,4]$ , we can rewrite the integral as

$\displaystyle \int_0^1f(t)\;dt + \int_1^4 f(t)\; dt$

Now there is no ambiguity about the definition of f(t), because in each integral we are integrating a single part of its piecewise definition:

$\displaystyle \int_0^1f(t)\;dt = \int_0^11-3t^2\;dt,\quad \int_1^4 f(t)\; dt = \int_1^4 2t\; dt$

Both integrals are quite immediate: you only need to use the power rule

$\displaystyle \int x^n\;dx=\dfrac{x^{n+1}}{n+1}$

to get

$\displaystyle \int_0^11-3t^2\;dt = \left[t-t^3\right]_0^1,\quad \int_1^4 2t\; dt = \left[t^2\right]_1^4$

Now we only need to evaluate the antiderivatives:

$\left[t-t^3\right]_0^1 = 1-1^3=0,\quad \left[t^2\right]_1^4 = 4^2-1^2=15$

So, the final answer is 15.

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3 years ago

Is that an accurate line of best fit? A.Yes B.No I really need help !!!!!!

Cloud [144]

Answer:

yessssss

Step-by-step explanation:

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3 years ago

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Car and biker started to move towards each other.

Gnom [1K]

Answer :

1 4 4 0 0

E x p l a i n i n g :

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2 years ago

Rewrite as a simplified fraction. 2.267....=?

Ugo [173]

Answer:

2267/1000

Step-by-step explanation:

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3 years ago

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James walked 548 yards. How many miles has he walked ?

Lana71 [14]

One yard is 0.0005 miles,
548 * 0.0005 = 0.274,
So the answer is 0.274 miles.

Hope this helps.

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2 years ago

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