Step-by-step explanation: Triangles can be drawn utilizing one side of the polygon. In the event that we take one side, at that point there are a add up to of 16 triangles that can be drawn and we have 20 sides. So, add up to 20×16=320 triangles.

8 0

3 years ago

Write expression for the sum x and 6

Marizza181 [45]

Answer:

X+6

Step-by-step explanation:

Sum means Addition.

6 0

3 years ago

Read 2 more answers

Find the output values of the exponential function g(x) = 4,096x for x = 0, 0.25, 0.50, 0.75, and 1.

WARRIOR [948]

Hello,

g(x)=4096^x

g(0)=1

g(0.25)=(2^12)^1/4=2^(12/4)=2^3=8

g(0.50)=(2^12)^(1/2)=2^6=64

g(0.75)=(2^12)^(3/4)=2^9=512

g(1)=4096^1=4096

6 0

4 years ago

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An online instructor sends updates to students via text. The probability model describes the number of text messages the instruc

alexandr402 [8]

Answer:

The expectation the instructor to send each day

E(X) = 3.65

Step-by-step explanation:

Given data x : 0 1 2 3 4 5

P(X=x) : 0.05 0.05 0.1 0.1 0.4 0.3

The given data satisfy the two conditions

I) Given all probabilities are p₁(x) ≥0

ii) sum of all probabilities is equal to one

0.05 + 0.05 + 0.1 + 0.1 + 0.4 +0.3 =1

Therefore given data is discrete probability distribution

Expectation :-

suppose a random variable X assumes the values $x_{1}, x_{2},..x_{n}$ with respective probabilities $p_{1}, p_{2},..p_{n}$ , then the Expectation or Expected value of X , denoted by E(X) = ∑pi xi

$E(X) = 0X0.05+1X 0.05 +2X 0.1 +3X 0.1 +4X0.4 +5X 0.3$

on simplification, we get

E(X) = 3.65

8 0

3 years ago