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3 years ago

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1

1 answer:

6 0

36 different ways; usually when it asks how many times different outcomes can pop up, all you have to do is multiply is by itself.

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Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t

lilavasa [31]

Answer:

The smallest possible are of the tabletop is 113 in²

The largest possible area of the tabletop is 1,662 in²

Explanation:

1) What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius of at least 6 inches means that the radius has to be 6 inches or more, i.e. the smallest possible radius is 6 inches.

a) Area of a circle: A = π r²

The smallest area is given by the smallest radius, which we have just stated that is 6 in.

b) Calculations:

With that A = π (6 in)² = 36π in² ≈ 113.10 in².

Round the answer to the nearest whole square inch: 113 in²

2) What is the largest possible area of the tabletop that will fit on Timothy’s table base?

The statement that the base can support a tabletop with a radius no more than 23 inches means that the radius has to be 23 inches or less, i.e. the largest possible radius is 23 inches.

a) Area of a circle: A = π r²

The largest area is given by the largest radius, which we have just stated that is 23 in.

b) Calculations:

With that A = π (23 in)² = 529 π in² ≈ 1,661.9 in².

Round the answer to the nearest whole square inch: 1,662 in².

6 0

4 years ago

The SAT mathematics scores in the state of Florida for this year are approximately normally distributed with a mean of 500 and a

Greeley [361]

The correct answer is 47.5%, or 0.475.

Explanation:
The empirical rule states that in any normal distribution:

68% of data will fall within 1 standard deviation of the mean;
95% of data will fall within 2 standard deviations of the mean; and
99.7% of data will fall within 3 standard deviations of the mean.

The mean is 500 and the standard deviation is 100. This means that 700 is 2 standard deviations away from the mean:

(700-500)/100=200/100=2.

We know that 95% of data will fall within 2 standard deviations from the mean. However, included in the 95% is data less than the mean and greater than the mean. Since we are only concerned with the scores from 500 to 700, we only want the half that is greater than the mean:

95/2 = 47.5%, or 0.475.

8 0

3 years ago

Read 2 more answers

Let a be an mn matrix, and let u and v be vectors in irn with the property that au = 0 and av = 0. explain why a(u + v) must be

tatiyna

$\mathbf{Au}=\mathbf0$
$\mathbf{Av}=\mathbf0$

$\implies\mathbf{Au}+\mathbf{Av}=\mathbf0$
$\implies\mathbf A(\mathbf u+\mathbf v)=\mathbf0$

Multiplying by scalars $c,d$ won't change this fact.

4 0

4 years ago

Use the distributive property to wrtie the following expression 5 (x +Y)

Vlada [557]

F venturi jude’s cans can

7 0

3 years ago

Read 2 more answers

What does each equation have in common

Leona [35]

The equations have operations, variable, an equal sign in common.

<h3>What is an Equation?</h3>

An equation is a mathematical expression that contains an equals symbol.

As per the definition, the equation contain operations, variable, an equal sign. That means whatever be the equation then it must contain operations, variable, an equal sign.

So, all the equations have operations, variable, an equal sign these three things in common.

For example: 4a+b=0

Learn more about equation here:

brainly.com/question/10413253

#SPJ1

4 0

2 years ago

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1​

9. How many ways can 6 different items be arranged in a line and how many ways can 6 different items be arranged in a circle? 1