Four microprocessors are randomly selected from a lot of 100
microprocessors among which 10 are defective. Find the proba
ability of obtaining at most one defective microprocessor.

Step-by-step explanation:

From the set of 100 with 10 defective microprocessors, the probability of picking a defective one is;

10/100 = 1/10

From the set of 99 remaining and 9 defective microprocessors, the probability of picking a defective one is;

9/99 = 1/11

From the set of 98 remaining and 8 defective microprocessors, the probability of picking a defective one is;

8/98 = 4/49

From the set of 97 remaining and 7 defective microprocessors, the probability of picking a defective one is;

7/97

Adding all 4 probabilities together, we get;

1/10 + 1/11 + 4/49 + 7/97 = 0.345 or 34.5%

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

question: use the following table of a school bus during morning pickups to calculate its average speed between 2.8 km and 4.2 km

answer: 42 km/h

explanation: 1.4/0.033 42.42424 = 42 km/h

question answered by

(jacemorris04)