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Genrish500 [490]

3 years ago

12

I want to buy 4 tickets to go to Disney World. They are currently on sale for with a 12% discount. Write the SIMPLIFIED expressi

on to represent this scenario. *

1 answer:

azamat3 years ago

6 0

Answer:

3.52x

Step-by-step explanation:

Let

Quantity of tickets=4

Price of tickets=x

Discount=12%

This means, you will pay 100% -12%

=88%

Total amount payable=discount (quantity * price)

= 88% ( 4 * x )

= 0.88 (4x)

= 3.52x

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The estimated daily living costs for an executive traveling to various major cities follow. The estimates include a single room

Alexandra [31]

Answer:

$\bar x = 260.1615$

$\sigma = 70.69$

The confidence interval of standard deviation is: $53.76$ to $103.25$

Step-by-step explanation:

Given

$n =20$

See attachment for the formatted data

Solving (a): The mean

This is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

$\bar x = \frac{242.87 +212.00 +260.93 +284.08 +194.19 +139.16 +260.76 +436.72 +355.36 +.....+250.61}{20}$

$\bar x = \frac{5203.23}{20}$

$\bar x = 260.1615$

$\bar x = 260.16$

Solving (b): The standard deviation

This is calculated as:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

$\sigma = \sqrt{\frac{(242.87 - 260.1615)^2 +(212.00- 260.1615)^2+(260.93- 260.1615)^2+(284.08- 260.1615)^2+.....+(250.61- 260.1615)^2}{20 - 1}}$ $\sigma = \sqrt{\frac{94938.80}{19}}$

$\sigma = \sqrt{4996.78}$

$\sigma = 70.69$ --- approximated

Solving (c): 95% confidence interval of standard deviation

We have:

$c =0.95$

So:

$\alpha = 1 -c$

$\alpha = 1 -0.95$

$\alpha = 0.05$

Calculate the degree of freedom (df)

$df = n -1$

$df = 20 -1$

$df = 19$

Determine the critical value at row $df = 19$ and columns $\frac{\alpha}{2}$ and $1 -\frac{\alpha}{2}$

So, we have:

$X^2_{0.025} = 32.852$ ---- at $\frac{\alpha}{2}$

$X^2_{0.975} = 8.907$ --- at $1 -\frac{\alpha}{2}$

So, the confidence interval of the standard deviation is:

$\sigma * \sqrt{\frac{n - 1}{X^2_{\alpha/2} }$ to $\sigma * \sqrt{\frac{n - 1}{X^2_{1 -\alpha/2} }$

$70.69 * \sqrt{\frac{20 - 1}{32.852}$ to $70.69 * \sqrt{\frac{20 - 1}{8.907}$

$70.69 * \sqrt{\frac{19}{32.852}$ to $70.69 * \sqrt{\frac{19}{8.907}$

$53.76$ to $103.25$

8 0

2 years ago

What is 5.63 x 10^-6 in decimal form

olga nikolaevna [1]

The decimal form for 5.63 x 10^-6 is 0.00000563

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Sergeu [11.5K]

Answer: $6.54

Step-by-step explanation:

The price of one orange is $1.09

The price of 4 oranges is $3.64

The price of 6 oranges is $6.54

6 0

2 years ago

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PLS HELP WITH 4 and 5 ASAPPP FOR BRAINLIEST

topjm [15]

Answer:

4. SAME SLOPE, SAME Y INTERCEPT.

When this happens... The system of Equations has an Infinite Number of solutions.

A IS YOUR ANSWER

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2 years ago

3y-4x=3 find the rate of change for each function above Which function has the greatest rate of change?does any pair of function

pishuonlain [190]

Answer:

4/3

Step-by-step explanation:

Sounds as though this problem presented several rates of change, but you have shared only one: 3y - 4x = 3. If we take x to be the independent variable, then 3y = 4x + 3, and y = (4/3)x + 1. The rate of change of this function (the rate of change of y with respect to x) is therefore 4/3.

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3 years ago