True or false--algebra...?
1. true. rational and irrational are the two subcategories, of all real numbers 2. false, although the sqrt of 5 is irrational, because it doesn't stop or repeat, it is still a real number 3. true. integers are all the numbers on a basic number line, like -2, -1, 0, 1, 2....no decimals or fractions. but they can be written as one. 4. false. all real numbers are either rational or irrational, not both 5. true...think square root of -16. this is not a real number because sq.roots have to be identical factors, and to get - 16, you would need a positive and negative, so you don't have a real sq.root for -16. same goes for any even root and a negative number 6. no. only rational numbers can be written as a fraction. irrational numbers have decimals that never end or repeat, so they cannot be written as a fraction 7. yes, that is the definition of a rational number 8. true...if it repeats or ends, then it is rational. not repeating or ending is what makes it irrational. 9. false, 0 is a whole number and an integer, both subcategories of rational numbers. 0 can be written as a fraction 0/1, so it is rational. 10. true. although numbers technical have two square roots, both positive and negative because 4 * 4 =16 and -4 * -4 = 16, but the principal square root is considered positive
Algebra 2 question...true or false?!?
I don't think so, because for all of them the frequency is 1, and there is no modal class. You can't draw a cumulative frequency curve, it will have gradient 0 and your IQR will be 0. It depends on how you answer the question. In this case, IQR is 0, if that's acceptable, the answer is true. There is no distribution, so the question might be invalid, and in such qns, normally false is the answer.
Linear Algebra - True or False?
Determine whether the following statements are true or False. If true, explain it and if false, provide a counterexample. (a) The 0 vector in every Rn is defined as the additive inverse of a vector. (b) There is a vector space V and a subspace W of V such that zero vector in V is not in W. (c) The set {(x , x/2) : x is in every R} with standard operations on R2 is a vector space. (d) The set of all polynomials of degree four with standard operations is a vector space. (e) The set {(a b c d): ad-bc not equal to 0} with standard matrix operations is a vector space.
True or false? (linear algebra)?
Consider a diagonal matrix, D, with each diagonal element being either 0 or 1. For example: [1 0 0 0] [0 1 0 0] [0 0 0 0] [0 0 0 1] would fit the bill. For any of this kind of matrix, you can see that D^2 = D, since for diagonal matrices squaring the matrix just squares the diagonal elements and 0^2 = 0 and 1^2 = 1. Now consider a diagonalizable operator, T, with characteristic values (eigenvalues) all 0 or 1. Then we can diagonalize the matrix into a diagonal matrix with 0s and 1s along the diagonal, like D. We can then write (Q' is the inverse of Q): T = Q'DQ T^2 = (Q'DQ)(Q'DQ) = Q'DDQ (because Q'Q is the identity) = Q'D^2Q = Q'DQ (by the property of D). = T Which is the required result.
HELP PLZ LINEAR ALGEBRA TRUE OR FALSE?
I. False. The zero vector is in R3, and its span is a single point, not a line. (It would be true if it had said nonzero vector.) II. False. What if the two distinct vectors are scalar multiples of each other? Then their span would be a line, not all of R2. III. True. IV. True, since they're linearly independent (not scalar multiples of each other). So the answer is III and IV.
Algebra question, true or false!!!?
True. Terms you'll need to know x = one value in your set of data avg (x) = the mean (average) of all values x in your set of data n = the number of values x in your set of data For each value x, subtract the overall avg (x) from x, then multiply that result by itself (otherwise known as determining the square of that value). Sum up all those squared values. Then divide that result by (n-1). Got it? Then, there's one more step... find the square root of that last number. That's the standard deviation of your set of data. Now, remember how I told you this was one way of computing this? Sometimes, you divide by (n) instead of (n-1). It's too complex to explain here. So don't try to go figuring out a standard deviation if you just learned about it on this page. Just be satisified that you've now got a grasp on the basic concept. Descriptive Statistics: Results 5 data points: 13.7 24.5 38.9 50.0 73.2 Mean = 40.1 95% confidence interval for actual Mean: 11.38 thru 68.74 Standard Deviation = 23.1 Hi = 73.2 Low = 13.7 Median = 38.9 Average Absolute Deviation from Median = 17.0
Geomatry/Algebra true/false questions
Hi, 1: For # 1 - 16 answer True or False. Two rays that have the same endpoint form an angle. True False if they go in the same direction so there is no interior space. 2: Two triangles with sides of equal length are congruent. True <==ANSWER true by side-side-side False 3: An angle measuring 112° is called acute. True False <==ANSWER Angles between 90 and 180 are obtuse, not acute. 4: Vertical angles have the same measure. True <==ANSWER False 5: The sum of the measures of the angles of a triangle is 360o. True False <==ANSWER The sum of the measures of the angles of a triangle is 180°. 6: If two angles of a triangle are 21° and 74°, then the third angle is 82°. True False <==ANSWER 3 angles of a triangle add to 180°. These don't. 7: A line segment is a piece of line with two endpoints. True <==ANSWER False 8: A right triangle is a triangle with an angle measuring 90°. True <==ANSWER False 9: Use these figures for # 11 and 12. The triangles in figure 11 are congruent. ? NO FIGURE True False 10: The triangles in figure 12 are congruent. ? NO FIGURE True False 11: Parallel lines never intersect. True <==ANSWER False 12: ? NO FIGURE The above lines are perpendicular. True False 13: Similar triangles have congruent angles. True <==ANSWER Corresponding angles are congruent while corresponding sides are proportional. False 14: If angle BAC = angle EDF, angle ACB = angle DFE, and AC = DF, then triangle ABC is congruent to Triangle DEF. True <==ANSWER true by angle-side-angle False 15: A point has location and area. True False <==ANSWER 16: If any 2 lines are perpendicular, they form 4 equal angles of 90°. True <==ANSWER False I hope those help!! :-)
Value of function True or False question 10 pts easy (Algebra 1) (6 questions)?
1) A metal rod sits in the sun. The temperature of the rod is a function of how long it has been sitting in the sun. The function that describes this is named Temperature(seconds) or T(s). Is T(90)>T(400) true or false 2) John has his money in a savings account that earns 3% interest each year. He never takes money out of the account. The value of his account is described by the function Dollars(years), or D(y). Is D(2)
Four True and False questions in Pre Algebra? Easy?
1.(false) A rectangle and a parallelogram have parallel lines so a rectangle is always a parallelogram. However a rectangle has all sides 90 degrees but a parallelogram does not always have 90 degree sides. Therefore, parallelograms are not always rectangles. 2.(true) A quadrilateral is any shape with four sides. 3.(true) A rhombus is a quadrilateral with four equal sides. Squares are always rhombuses but rhombuses are not always squares, but some can be. 4.(false) A rhombus is a quad with four equal sides. Not all rectangles have four equal sides.