You take a quiz with 6 multiple-choice questions. After you studied, you estimated that you would have about an 80% chance of getting any individual question right. What are your chances of getting them all right? The random numbers below represent a simulation with 20 trials. Let 0-7 represent a correct answer and let 8-9 represent an incorrect answer.
235588 930328 391885 362974 975407 732652 591874 848259 541003 536160 342269 674938 349802 661596 672801 633052 168858 551266 463349 884658

0.262144 = 26.2% of getting all the 6 questions correctly.

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = 6 multiple choice questions

x = Number of successes required = 6 (we want to get it all right.

p = probability of success = 0.8 (80% chance of getting any individual question right; 0.8 probability of getting each question correctly)

q = probability of failure = 1 - 0.8 = 0.2

P(X = 6) = ⁶C₆ (0.8)⁶ (0.2)⁶⁻⁶ = 1(0.262144)(1) = 0.262144

answer: its c because when it has a magnet next to it it will move away from the mixture. hope this

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.