Answer:
Cov(X, Y) =0.029.
Step-by-step explanation:
Given that :
The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)
Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.
0.04e–jτj/10 ............(2)
Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.
That is, they are 5 seconds apart,
τ = 5 seconds..............(3)
Thus,
Cov(X, Y), for τ = 5seconds = 0.04e-5/10
= 0.04e-0.5 = 0.04/√e
= 0.04/1.6487
= 0.0292
Thus, Cov(X, Y) =0.029.
Total internal energy increases by 1760 J
Step-by-step explanation:
The kinetic energy of an object is the energy possessed by the object due to its motion.
It is calculated as

where
m is the mass of the object
v is its speed
For the hammer in this problem:
m = 2.50 kg
v = 65.0 m/s
So its kinetic energy is

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

Learn more about kinetic energy:
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So hmm is a geometric sequence, meaning, the next term is found by multiplying it by "something", namely the "common ratio"
now, if the next term is the product of the common ratio and the previous term, that means, if we divide the previous term by the next term, the quotient will then be the "common ratio", let's do that then
let's divide the 2nd term by the 1st term then

Answer:
2.30 years
Step-by-step explanation:
The number of fish tripled in the first year, making a total of 240 * 3 = 720 fishes.
(a) The formula for logistic equation is as the following

where P0 = 240 is the number of fishes initially, we can plug in P = 720 and t = 1 to calculate the constant k



b) Using the following formula

with P = 3000, P0 = 240, k = 1.1, we can calculate the number of years it takes to get to 3000 fishes




Answer:
<h2>$352</h2>
Step-by-step explanation:
Find out the price of one bagel by dividing the price by the number of bagels:
350 Bagels = $168
1 Bagel = $0.48
475 Bagels = $209
1 Bagel = $0.44
0.48 > 0.44
This means the second bakery has the lower price.
Louis wants 800 bagels, so multiply the price by 800.
0.44 * 800 = $352
You can check it's lower by comparing it with the first bakery.
0.48 * 800 = $384
384 > 352