What is a positive integer? what is a negative integer?.

2 answers:

8 0

Positive integers is an integer is positive if it is greater than zero. A negative integer is an integer that is negative if it is less then zero

Example: -1,-2,-3 zero is defined as nervier negative nor positive integer. Because zero is a whole number.

nikitadnepr [17]2 years ago

7 0

Positive integer is any whole number that does not have a - in front of it (eg. 1,2,3,4)

negative integer is any whole number that does have a - in front of it (eg. -1,-2,-3,-4)

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If an angle is labeled with a single letter, that letter represents the  vertex  of the angle.

If more than one angle has the same vertex, you must use  3  points to name the angle. The middle  point named must be the vertex.

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Explanation:

If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.

If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.

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Read 2 more answers

Discrete R.V. Assume a student shows up for EGR 280 completely unprepared and the instructor gives a pop quiz. Assume there are

Tom [10]

Answer:

a) p=0.2

b) probability of passing is 0.01696

c) The expected value of correct questions is 1.2

Step-by-step explanation:

a) Since each question has 5 options, all of them equally likely, and only one correct answer, then the probability of having a correct answer is 1/5 = 0.2.

b) Let X be the number of correct answers. We will model this situation by considering X as a binomial random variable with a success probability of p=0.2 and having n=6 samples. We have the following for k=0,1,2,3,4,5,6

$P(X=k) = \binom{n}{k}p^{k}(1-p)^{n-k} = \binom{6}{k}0.2^{k}(0.8)^{6-k}$ .

Recall that $\binom{n}{k}= \frac{n!}{k!(n-k)!}$ In this case, the student passes if X is at least four correct questions, then

$P(X\geq 4) = P(X=4)+P(X=5)+P(X=6)=\binom{6}{4}0.2^{4}(0.8)^{6-4}+\binom{6}{5}0.2^{5}(0.8)^{6-5}+\binom{6}{6}0.2^{6}(0.8)^{6-6}= 0.01696$

c)The expected value of a binomial random variable with parameters n and p is $E[X] = np$ . IN our case, n=6 and p =0.2. Then the expected value of correct answers is $6\cdot 0.2 = 1.2$