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2 years ago

Multiply. Write the answer in standard form. (8+3i)2=

Mathematics

1 answer:

Flauer [41]2 years ago

6 0

Answer:

55 +48i

Step-by-step explanation:

Complex numbers can be treated as though they were binomials with a variable "i". At the end, any instance of i² can be replaced by -1.

(8 +3i)² = 8² + 2(8)(3i) +(3i)² = 64 +48i -9

= 55 +48i

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2 years ago

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

garik1379 [7]

Answer:

The probability that X is less than 32 minutes is 0.736.

Step-by-step explanation:

Given : The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift. If X has an average value of 24 minutes.

To find : What is the probability that X is less than 32 minutes?

Solution :

If X has an average value of 24 minutes.

i.e. $\lambda=24$

The random variable X is exponentially distributed, where X represents the time it takes for a person to choose a birthday gift.

The exponentially function is $\frac{1}{\lambda}e^{-\frac{x}{\lambda}}$

The function form according to question is

$f(x)=\{\frac{1}{24}e^{-\frac{x}{24}}, x>0\}$

The probability that X is less than 32 minutes is

$P[x$

Therefore, the probability that X is less than 32 minutes is 0.736.

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2 years ago

What is the value of f?

laiz [17]

Answer:

f(1/2) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 8x - 6

f(1/2) is x = 1/2

Step 2: Evaluate

Substitute in x: f(1/2) = 8(1/2) - 6
Multiply: f(1/2) = 4 - 6
Subtract: f(1/2) = -2

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