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3 years ago

Chairs need to be set up for the audience members. You want to use the

Mathematics

1 answer:

kolbaska11 [484]3 years ago

6 0

Answer: 18

Step-by-step explanation: If there were 18 seats in the row, it would be an even amount in each row, the same amount in each row, and would see everybody.

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HELP NOW!!!!

VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

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The desired outcomes are:

First 8 people are teachers, in 8! possible ways.
Last 4 are students, in 4! possible ways.

Thus, $D = 8! \times 4!$

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For the total outcomes, number of arrangements of 12 people, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

Explanation and answer please :)

puteri [66]

Step-by-step explanation:

You use the I = PRN formula

P = 11 500

R = 7.25% but you have to 7.25 divide by 100 so it becomes a decimal so it should be 0.0725

N = 2 years and 6 months. This can be 2.5 years because half of 12 is 6

the solution is 11 500 × 0.0725 × 2.5 = 2084.38

7 0

3 years ago

Ruby is deciding between two truck rental companies. Company A charges an initial fee of $70 for the rental plus $2.50 per mile

almond37 [142]

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

Company A would be cheaper if Ruby needs to drive 15 miles

Step-by-step explanation:

Ruby is deciding between two truck rental companies

Company A charges an initial fee of $70 for the rental plus $2.50 per mile driven
Company B charges an initial fee of $90 for the rental plus $1.50 per mile driven
A(x) represents the amount company A would charge if Ruby drives x miles, and B(x) represents the amount company B would charge if Ruby drives x miles

Write the equation for each function and determine which company would be cheaper if Ruby needs to drive 15 miles with the rented truck

∵ Company A charges an initial fee of $70 for the rental

∵ It costs $2.5 per mile driven

∵ A(x) represents the amount would charge if Ruby drives x miles

∴ A(x) = 2.5 x + 70

∵ Company B charges an initial fee of $90 for the rental

∵ It costs $1.5 per mile driven

∵ B(x) represents the amount would charge if Ruby drives x miles

∴ B(x) = 1.5 x + 90

The equation of each function

A(x) = 2.5 x + 70

B(x) = 1.5 x + 90

∵ Ruby needs to drive 15 miles with the rented truck

∴ x = 15

- Substitute x by 15 in the two equation to find the cheaper one

∵ A(15) = 2.5(15) + 70

∴ A(15) = 107.5

The amount Company A would charge if Ruby drives 15 miles is $107.5

∵ B(15) = 1.5(15) + 90

∴ B(15) = 112.5

The amount Company B would charge if Ruby drives 15 miles is $112.5

∵ $107.5 is less than $112.5

∴ A(15) < B(15)

∴ The company A would be cheaper

Company A would be cheaper if Ruby needs to drive 15 miles

Learn more:

You can learn more about linear function in brainly.com/question/4326955

#LearnwithBrainly

3 0

3 years ago

Write an algebraic expression for the phrase the product of 4 and s.

notka56 [123]

Answer: 4s

Step-by-step explanation:

Product means multiply

4 times s = 4s

8 0

2 years ago

Read 2 more answers

Three ballet dancers are positioned on stage. Elizabeth is straight behind Hannah and directly left of Manuel. If Hannah and Eli

ki77a [65]

Answer: Elizabeth and Manuel have a distance of 4 meters between them.

Step-by-step explanation: Please refer to the picture attached.

From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.

We shall apply the pythagoras theorem in solving for the unknown side, EM.

The Pythagoras theorem states thus;

AC² = AB² + BC²

Where AC is the hypotenuse, and AB and BC are the other two sides.

Substituting for the known values, we now have;

5² = 3² + EM²

25 = 9 + EM²

Subtract 9 from both sides of the equation

16 = EM²

Add the square root sign to both sides of the equation

√16 = √EM²

4 = EM

Therefore the distance between Elizabeth and Manuel is 4 meters

8 0

3 years ago