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snow_tiger [21]
3 years ago
13

Topic 13 Online Assessment

Mathematics
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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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
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.

3 0
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
Read 2 more answers
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