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arsen [322]
2 years ago
15

A. 15 B. 10 C. 3/8 D. 1/8

Mathematics
1 answer:
Anna71 [15]2 years ago
8 0

Answer:

D

Step-by-step explanation:

the theoretical probability is a fancy term for an even amount of both, which would be 20 flips landing on H, and 20 landing on T. Since the question is asking what's the difference between the theoretical probability and the experimental results, you'd take 20(theoretical number of flips that land on H) and subtract 15 (experiment results for the amount of flips that land on H), and 20 - 15 = 5. Now that you know the difference is 5, you would divide 5 by 40 to find the answer. 5/40 = 1/8 when you simplify, making the answer D.

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Ed is going 12 miles per hour.
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2 years ago
Let f(x) = -5e^(-x/3)<br><br> Find f^(6) (1)
Luba_88 [7]

Let's take the first derivative:

f'(x) = (-5e^{-x/3})' = -5 \times (e^{-x/3})' = -5e^{-x/3} \times \left(-\dfrac{1}{3}\right) = \dfrac{5}{3}e^{-x/3}.

Notice that we can write this as:

f'(x) = -\dfrac{f(x)}{3}.

By taking the derivative of both sides n times, we get:

f^{(n+1)}(x) = -\dfrac{f^{(n)}}{3}.

This means that each time you take a derivative, a factor of -\dfrac{1}{3} will appear. So we conclude that:

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Taking n=6 and x=1, we get:

f^{(6)}(1) = \left(-\dfrac{1}{3}\right)^6 f(1) = \dfrac{-5e^{-1/3}}{729} = -\dfrac{5}{729}e^{-1/3}.

So we finally get:

\boxed{-\dfrac{5}{729}e^{-1/3}}.

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HELP HELP HELP <br>Just a quick question for 100 points! :)
Alex_Xolod [135]

Answer:

see attached graphs

Step-by-step explanation:

<u>Transformations</u>

For a > 0

f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}

f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}

f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a

y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}

y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}

y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}

Parent function:  f(x) = x

Each transformation is a transformation of the parent function only:

<u>Translation of 4 units down</u>

\implies f(x)-4=x-4

\implies y=x-4

<u>A stretch by a factor of 3</u>

\implies 3f(x)=3x

\implies y=3x

<u>A reflection and a translation 1 unit up</u>

\implies f(-x)+1=-x+1

\implies y=-x+1

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hope it helped I answered it myself and I got it right
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Read 2 more answers
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