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snow_tiger [21]

3 years ago

13

Topic 13 Online Assessment

1 answer:

telo118 [61]3 years ago

3 0

Answer:

Tomas is incorrect.

Step-by-step explanation:

Example : If we divide a cake into 8 pieces and a similar cake is into 4 pieces, a piece of cake taken from 4 pieces will be bigger than a piece taken from 8 pieces.

Similarly, size of 3 pieces of cake taken from 4 pieces will be bigger than the 3 pieces taken from 8 pieces.

Therefore, $\frac{3}{4}$ will be greater than $\frac{3}{8}$ .

Tomas is incorrect.

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3 years ago

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 $103.25$

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3 years ago

Jared drove a distance of 165 miles to billings last weekend, which used 11 gallons of gas. How many gallons of gas will he need

blondinia [14]

Answer:

8550

Step-by-step explanation:

1. you need to figure out how many time 11 goes into 165 which is 15 then you need to get the 15 and multiply it by 570.

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3 years ago

Find the slope of the line passing through the points given below or state that the slope is undefined. Then indicate whether th

Varvara68 [4.7K]

QUESTION A

The given points are

$(x_1,y_1)=(8,3)$ and $(x_2,y_2)=(9,8)$

The slope can be found using the formula;

$m=\frac{y_2-y_1}{x_2-x_1}$

We substitute the point to obtain;

$m=\frac{8-3}{9-8}$

This simplifies to

$m=\frac{5}{1} =5$

Therefore the slope is 5.

QUESTION 2

A positive slope indicates a rising line

A negative slope indicates a rising line

A zero slope means the line is horizontal.

An undefined slope means the line is vertical.

The correct answer is

A. The line rises from left to right.

3 0

3 years ago

Read 2 more answers

Please help quickly, if someone answers quickly I'll give them Brainly.

denis-greek [22]

1. A

I hope this helped! This is because the division of numbers and factors are equal to this.

6 0

3 years ago

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