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mash [69]
3 years ago
6

Find the exact area of a circle having the given circumference.

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

<h2>A = 2.25π</h2>

Step-by-step explanation:

The formula of an area of a circle:

A=\pi r^2

r - radius

The formula of a circumference of a circle:

C=2\pi r

We have:

C=3\pi

Substitute:

2\pi r=3\pi            <em>divide both sides by 2π</em>

r=1.5

Substitute:

A=\pi(1.5)^2=2.25\pi

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The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags.
Ivan

Answer and Step-by-step explanation:

First of all lets define  

X to be that the bags do contain large liquid amounts

+ to be that the test is not negative that is positive

From the question,  

P(x) = 3/100 = 0.03

P(+|X) = 0.91

P(+|X′) = 0.05

Probability of bag having a positive test =p(+)

= P(+|X) (P(x)) + P(+|X′)(P(X′))

= P(X′)) = 1 – 0.03 = 0.97

Inserting these values into these formulas  

0.91)(0,03) + (0.05)(0.97)

= 0.0273 + 0.0485

= 0.0758

The probability of the randomly selected bag having large liqid amount

=  P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)

= 0.0273/0.0273+0.0485

= 0.0273/0.0758

= 0.3602

the probability that this bag does not have large liquid amount

= p(X'|+) = 1 - P(X|+)

= 1 - 0.3602

= 0.6398

6 0
3 years ago
Find the volume of the parallelepiped (box) determined by uv and w
attashe74 [19]
Volume= u*v*w

V= lengh*width*heigh
6 0
3 years ago
A square has a side length of 5 1/4 inches.<br> What is the area of the square?
ElenaW [278]
The area of the square is : A = 25
5 0
3 years ago
Jonas wants to serve serve 48 people one cup of tea each. How many gallons of tea must he prepare?
Aleks04 [339]

Answer:

3 gallons

Step-by-step explanation:

1 gallon=16 cups

48÷16=3

3 gallons makes 48 cups

6 0
3 years ago
When a certain polynomial is divide by binomial x-3, the result is 4x-5+6/x-3. What is the polynomial
Dmitry_Shevchenko [17]
\frac{p(x)}{x-3} = 4x-5 + \frac{6}{x-3}

The polynomial p(x) can be found by multiplying 'x-3' to every term
p(x) = (4x-5)(x-3) + 6

Now distribute and you have your answer.
p(x) = 4x^2 -12x-5x+15 +6 \\  \\ p(x) = 4x^2 -17x+21


7 0
3 years ago
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