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an airplane is flying at an altitude of 6000m over the ocean directly toward a coastline. at a certain time the angle of depression to the coastline from the airplane is 14 degrees. how much farther does the airplane have to fly before it is directly over the coastline


Write out the indicated sets by listing their elements between braces.

a) {x ∈ R: x2= 2} x {a, c, e}

b) {x ∈ R: x2= x} x {x ∈ N: x22= x}

c) {x ∈ R: x2= 2} x {x ∈ R: |x| = 2}

d) {n ∈ Z : 2<n<5} x {n ∈ Z}


Show two diffrent rectangles which both have a perimeter of 18cm


Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.)


𝜇 = 4; 𝜎 = 2

P(3 ≤ x ≤ 6) = 



How many rows appear in a truth table for each of these compound propositions?

p →¬p




Determine whether these biconditionals are true or false.

a) 2 + 2 = 4 if and only if 1 + 1 = 2.


There are 42 male employees and 33 females employees in a company. Find the ratio of

(a) the number of male employees to the number of female employees,

(b) the number of female employees to the total number of employees.


a) Learner says:






“405 is smaller than 450” Concept(s)/aspect(s) involved (1)






Is the answer right or wrong? Give reasons/explanation (1)








Assignment 2

True or False(Please help me)


Question 1

Consider tossing a die and let S denote the set of all possible numerical observations for a single toss of a die.Suppose A=[2,4],then the compliment event Ac(or A)is 2 over 6.


Question2

Suppose A and B are two events.The expression that describes both events to occur is A or B.


Question 3

Suppose that you are given an event A with probability of the event donated by P(A),the P(A) is always greater or equal to 0.


Question 4

Consider two events A and B that are independent,then P(A and B)=0


Question 5

If an event A does not occur,then the compliment event Ac will not occur.


Question 6

If event A and B are independent with P(A)=0,25 and P(B)=0.60,then P(A|B)is 0.15



Question 9

Consider an experiment that consists of rolling a six-sided die with the sample space S=[1,2,3,4,5,6]-The probability that a tutor rolls and event number is [2,4,6].




Question 13

Let P(A)=0.65,P(B)=0.30 and P(A|B)=0.45.Events A and B are independent.





Let S = {a1, . . . , ap} be a subset of M, for some p ∈ N∗



. Let (xn)n



be a sequence in S.



(a) Show that there is some j, 1 ≤ j ≤ p and a subsequence (xnk)k



of (xn) such



that xnk = aj for all k ∈ N∗



.

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