Use the special multiplication rule to find the indicated probability. Find the probability of correctly answering the first 5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers.

0.1% probability of correctly answering the first 5 questions

Step-by-step explanation:

For each question, there are four possible answers, one of which is correct.

So the probability of getting a question correct is 1/4 = 0.25.

The questions are also independent, that is, the probability of guessing correctly one question does not interfer with other questions. So we can use the special multiplication rule, that is, the probability of events A and B both happening is:

In this problem, there are 5 events(getting each question right) with 0.25 probability. So

0.1% probability of correctly answering the first 5 questions

in 1995, potato plants were taken into space aboard the space shuttle columbia.

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true