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Wittaler [7]
3 years ago
12

Solve by simulating the problem. You have a 5-question multiple-choice test. Each question has four choices. You don’t know any

of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly?
Mathematics
1 answer:
Reptile [31]3 years ago
3 0
Here's how you can do the experiment (simulation).
Since each question has four choices, numbered 1,2,3,4.
Then take a coin and throw it twice to represent your answer guess, with
HH=0
HT=1
TH=2
TT=3

Assume the correct answer is {1,1,1,1}, or any other set you decide to have.
Repeat this 5 times to get the 5 answers, and record the "correct" answers.

This constitutes ONE trial.  You can repeat the number of trials as you are required to do.
If the number of trials is a large number, you are better off writing a computer program, using Java, Excel, Perl, C, Basic, or any other language of your choice.
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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 100 mm?
Advocard [28]

Answer:

Volume increasing rate = 62831.85 mm^3/s

Explanation:

We rate of change of radius of sphere, \frac{dr}{dt} =2mm/s

Diameter of sphere = 100 mm

Radius of sphere = 50 mm

Volume of sphere, V = \frac{4}{3} \pi r^3

Rate of change of volume = \frac{dV}{dt}

\frac{dV}{dt}=\frac{d}{dt} (\frac{4}{3} \pi r^3)=\frac{4}{3} \pi\frac{d}{dt}(r^3)=\frac{4}{3} \pi*3r^2*\frac{dr}{dt}

Substituting known values

     \frac{dV}{dt}= \frac{4}{3}* \pi*3*50^2*2=62831.85 mm^3/s

Volume increasing rate = 62831.85 mm^3/s

8 0
3 years ago
For part of a science experiment, Andre adds 0.25 milliliters of dye to 12.3 milliliters of water. How many milliliters does the
sergiy2304 [10]

Answer:

12.55 milliliters

Step-by-step explanation:

0.25+12.3=12.55

Good luck!

5 0
3 years ago
PLEASE HELP ME!! 12 points and brainliest!!!!!!
Darina [25.2K]
What you want to do is get x alone. So, divide both sides by -1/2 so x is alone. -12 divided by -1/2 is 24. Since this is an  inequality you have to flip over your inequality sign when multiplying or dividing by a negative so your answer is now x>24

6 0
4 years ago
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Explain how to use a graph of the function f(x) to <br> find f(3).
saw5 [17]

Answer:

You would plug in the number 3 into both the F(x) and the x of the equation. By solving for x of your new equation, you would be able to find the value of f(3)!

Step-by-step explanation:

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LCM of 63 and 84.<br> pleasee
kow [346]

The LCM of 63 and 84 is 252

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