Answer:
(D^2 + 9)y = cos 2x….(1). The corresponding homogeneous equation is (D^2 +9)y= 0,…(2), whose auxiliary equation is m^2 + 9 = 0, which has (+/-)3i as roots. The general solution of (2) is y = A.cos(3x) + B.sin(3x). Now to get a general solution of (1) we have just to add to the above, a particular solution of (1). One such solution is [cos(2x)]/[-2^2 +9] = (1/5).cos 2x. Hence a general solution of the given equation is given by y = A.cos(3x) + B.sin(3x) + (1/5)cos(2x), where A and B are arbitrary constants. The above solution incorporates all the solutions of the given equation.
Step-by-step explanation:
7.) By clusterring $7.04 + $5.95 + $6.08 + $5.06 + $6.12 = $6.00 + $6.00 + $6.00 + $6.00 + $6.00 = $30.00
8.) 9.3 + 8.7 + 8.91 + 9.052 = 9 + 9 + 9 + 9 = 36
9.) 37.6 + 44.1 + 41 + 39.1 = 40 + 40 + 40 + 40 = 160
In clustering method you look for a whole number usually ending with 0 which all the given numbers "clustered" around.
Answer:
(-6, 8)
Step-by-step explanation:
2x + 3(8)= 12
2x + 24 = 12
-24 -24 (subtract 24 from both sides)
2x = -12
x= -6
It is probably 0,2,4,6 because other ones go "out of the sequence".
Hope this helps. :)
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
