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2 years ago

Classify each number below as a rational number or an irrational number. −17.6 , 81 , 15π , (square root −29), 13/14

Mathematics

1 answer:

gregori [183]2 years ago

4 0

Answer:

Rational Numbers

−17.6 (-176/10)

13/14

Rational Numbers

15π

square root −29

Step-by-step explanation:

Rational Numbers are those numbers which can be written as Ratio of two numbers.

Irrationational Numbers are those which cannot be written as ratio of two numbers. such as recurring numbers.

e.g 0.26262626.........

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2 years ago

Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *

Andru [333]

Answer:

(x − 1)² + (y + 1)² = 18

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

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7 0

3 years ago

PLEASE HELP

dsp73

Answer:

All events are independent

Step-by-step explanation:

You are given the table

$\begin{array}{cccc}&\text{Chocolate}&\text{Vanilla}&\text{Total}\\\text{Adults}&0.21&0.39&0.60\\\text{Children}&0.14&0.26&0.40\\\text{Total}&0.35&0.65&1.00\end{array}$

Two events A and B are independent when

$Pr(A\cap B)=Pr(A)\cdot Pr(B)$

a) A="Chocolate"

B="Adults"

A and B="Chocolate and Adults"

$Pr(A)=0.35\\ \\Pr(B)=0.60\\ \\Pr(A\cap B)=0.21$

Since $0.35\cdot 0.60=0.21$ events are independent

b) A="Children"

B="Chocolate"

A and B="Children and Chocolate"

$Pr(A)=0.40\\ \\Pr(B)=0.35\\ \\Pr(A\cap B)=0.14$

Since $0.40\cdot 0.35=0.14$ events are independent

c) A="Vanilla"

B="Children"

A and B="Vanilla and Children"

$Pr(A)=0.65\\ \\Pr(B)=0.40\\ \\Pr(A\cap B)=0.26$

Since $0.65\cdot 0.40=0.26$ events are independent

4 0

3 years ago