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zimovet [89]
2 years ago
14

What is the expected length of a sequence that is monotonically increasing when drawn from the distribution?

Mathematics
1 answer:
Wewaii [24]2 years ago
4 0
<span>First thing is to phrase the question in the notation of a probability. We are looking for - p(x1<x2,x3<x2) Next step is to simply expand this based on the rules of conditional probability as - p(x1<x2,x3<x2)=â«10p(x1<x2,x3<x2|x2)p(x2)dx2 Given we are working with uniform[0,1] variables, the first term can be written simply - p(x1<x2,x3<x2|x2)=x22 We also know that p(x2)=1 on the interval we care about. Therefore we have - p(x1<x2,x3<x2)=â«10x22dx2=x33âŁâŁâŁ10=1/3</span>
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Product is a 12 ounce bottle of generic mouthwash that sells $4.39 product B is a 24 ounce bottle of mouthwash that cost $2.79 w
Anna35 [415]
Hi there,
To compare we can look at the amount of (ounces)
A: 12         B:24
so as it appears B wins this part
Now price 
A: $ 4.39       B:$2.79
A is relatively expensive than B
B is cheaper with more ounces
A is less ounces and relatively expensive
which one would you buy?
5 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
nikitadnepr [17]
You can start with the form
  ∆y(x -x1) -∆x(y -y1) = 0
Here, we have
  ∆y = 11-(-3) = 14
  ∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
  14(x -1) -(-4)(y -(-3)) = 0
  14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:

  7x +2y = 1

6 0
2 years ago
An object is launched upward at 64 ft/sec from a platform that is 80 feet high. What is the objects maximum height if the equati
Free_Kalibri [48]
Max height is the vertex
convert to vertex form (y=a(x-h)^2+k) by completeing the square

h(t)=-16(t²-4t)+80
h(t)=-16(t²-4t+4-4)+80
h(t)=-16((t-2)²-4)+80
h(t)=-16(t-2)²+64+80
h(t)=-16(t-2)²+144

vertex is (2,144)
at t=2, the height is 144

max height is 144ft
4 0
2 years ago
How much does the atmosphere weigh over each square meter of surface? express this in tonnes (units of 1000 kg). recall the conv
Anettt [7]
Atmospheric pressure = 101,325 Newtons / m²
Weight per meter square = 101,325 Newtons
Mass per meter square = 101,325 / (9.81 x 1000)
Mass per meter square = 10.3 tonnes per m²
7 0
3 years ago
Is 16% of 40 the same as 40% of 16​
Naddika [18.5K]

Answer:

no bc they r swapped and 40 is higher

Step-by-step explanation:

k

4 0
3 years ago
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