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3 years ago

12

A student considers how mnay people enter a particular bank during the lunch hour and how many exit. She decided to run a simula

tion. She assigns the value 0 to represent a person entering the bank and 1 to represent a person exciting the bank. Based on a simulation fot the first 20 people she observes, estimate the probability she will see a person entering the bank.
0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0

0.400
0.250
0.500
0.600

2 answers:

german3 years ago

8 0

Answer:

0.600

Step-by-step explanation:

gradpoint

trapecia [35]3 years ago

3 0

Answer:

The number of persons entering the bank based on given 20 simulations are 12

The number of persons exiting the bank based on given 20 simulations are 8

We have to find the probability that she will see a person entering the bank.

The probability that she will see a person entering the bank is:

$\frac{12}{20}$

$0.6$

Therefore, the option 0.600 is correct.

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Answer:

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Step-by-step explanation:

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3 years ago

Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha

Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

$a = 20$ --- tree distance from north gate

$b =14$ --- movement from south gate

$c = 1775$ --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

$\triangle ADE \sim \triangle ACB$ --- similar triangles

So, we have the following equivalent ratios

$AE:DE = AB:CB$

Where:

$AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775$

Substitute these in the above equation

$20:x/2 = 20 + x + 14: 1775$

$20:x/2 = x + 34: 1775$

Express as fraction

$\frac{20}{x/2} = \frac{x + 34}{1775}$

$\frac{40}{x} = \frac{x + 34}{1775}$

Cross multiply

$x *(x + 34) = 1775 * 40$

Open bracket

$x^2 + 34x = 71000$

Rewrite as:

$x^2 + 34x - 71000 = 0$

Expand

$x^2 + 284x -250x - 71000 = 0$

Factorize

$x(x + 284) -250(x + 284)= 0$

Factor out x + 284

$(x - 250)(x + 284)= 0$

Split

$x - 250 = 0 \ or\ x + 284= 0$

Solve for x

$x = 250 \ or\ x =- 284$

x can't be negative;

So:

$x = 250$

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Answer:

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Number 11
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