- Show that average value lor expectatio value of cross product, LÊXB) = <A> <B)
Question 2 Find the dot product a. b. a = <5,6> b = <2,-8>
4. Suppose G is a group of order n < 0. Show that if G contains a group element of order n, then G is cyclic.
On average, 1.7 million people were expected to be diagnosed with cancer this year. If a hypothesis test is to be conducted to test the claim, what are the appropriate hypotheses? A) vs. B) vs. C) vs. D) vs. E) vs. Ηρ: μ = 1.7 HA: μ + 1.7 Ηρ: μΣ 1.7 Η: μ< 1.7 Ηρ: μ: 1.7 Η: μ1.7 H,:* < 1.7 HA: > 1.7 H: > 1.7 HA: < 1.7
Show that a bounded and monotone sequence converges. Here a sequence is called monotone, if it is either monotone increasing, that is for all or monotone decreasing, in which case for all . in Sn=1 An+1 > an neN an+1 < an We were unable to transcribe this image
8. (1.5 points) Show that 23 << ez?.
bn converges 18. Let (an)n=1 and (bn)n=1 be sequences in R. Show that if and lan – an+1 < oo, then anbr converges.
1. Let a=(ay, ay) and b= (6,62) be vectors in Rº. a. Verify that <a, b >= 20,62 +5 a,b2 satisfies the inner product axioms. b. a=(-1,3), b= (2,5) Find da,b).
2. Find the value of c that satisfies each of the following probabilities for a standard normal random variable 2: (a) p(z <c) = 0.975 (b) p(-c<z<c) = 0.95
Predict delta G and the product assuming presence of acid or base catalyst as needed. HOCH CH2OH CH3 * ? AG° <0 kJ/mol AGⓇ=0 kJ/mol AG° >0 kJ/mol CH3OH NH2 ? AG° <0 kJ/mol AG° 20 kJ/mol AG° >0 kJ/mol -ОН С. ОСН3 ДG° <0 kJ/mol AG° 0 kJ/mol ДG° >0 kJ/mol CH3NH2 ? ОН AG° <0 kJ/mol AG° 0 kJ/mol AGⓇ>0 kJ/mol
Prove that if |A| = |Band [B<|A|, then |A| = |B).