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blsea [12.9K]
3 years ago
5

1. Suppose that I'm flipping a dime and quarter, such that the probability that both are head is pi, both tail is P2, only the d

ime is head is p3, and only the quarter is head is 1- P1 – P2 - p3. The entropy (or randomness) of this two-coin-flip is H(P1, P2, P3) = -pı log2 (P1) – P2 log2 (P2) – P3 log2 (P3) – (1 – P1 – P2 - P3) log2(1 – P1 – P2 - P3). Calculate a H/Op1, and evaluate it at P1 = P2 = P3 = 0.25 and at pı = 0.7, P2 = P3 = 0.1. 2. Compute the Hessian of the following functions, and verify directly that the matrix is symmetric: (a) u(x, y) = y*exy, (b) v(x, y, s) = 114,22 3. I'm climbing a mountain, whose landscape is described by the function z(x, y) = e-(x++y). I'm at position (x, y) = (-1,1). What is the maximal slope at this point? What is the slope I'm climbing if I walk southwest?
Mathematics
1 answer:
ANEK [815]3 years ago
6 0

What are the options ???

Step-by-step explanation:

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shepuryov [24]

Answer:

a21 = -61

Step-by-step explanation:

a_{n}=a_{1}+(n-1)d

-19=a_{1}+(7-1)d

-28=a_{1}+(10-1)d (subtract to eliminate a₁)

9 = -3d

d = -3

-19 = a₁ + (6)(-3)

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a21 = -1 + (21 - 1)(-3)

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How many times smaller is 4 x 10−7 than 3.5 x 10−4?
Tcecarenko [31]

The 875 times smaller is 4 x 10−7 than 3.5 x 10−4.

<h3>What is the arithmetic operator?</h3>

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the two quantities 4 x 10−7 and 3.5 x 10−4

Now, if we divide this then

⇒ (3.5 x 10−4)/(4 x 10−7)

⇒ (35/40) × 10³

⇒ 875

Hence "The 875 times smaller is 4 x 10−7 than 3.5 x 10−4".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ1

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2 years ago
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Answer:

Step-by-step explanation: he hasn't found the right store yet..

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3 years ago
Factor the given expression x squared + 16x +64
eduard

Answer:

(x + 8)^2.

Step-by-step explanation:

x^2 + 16x + 64

8 + 8 = 16 and 8^2 = 64 so the factors are

(x + 8)(x + 8) or (x + 8)^2

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