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2 years ago

Match the numbers with the correct label

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

Answer:

see below

Step-by-step explanation:

In decimal, the values of the fractions are ...

-0.2 = -0.200

-3/7 = -0.429

-2/8 = -0.250

So, in a, b, c order, they are ...

a = -3/7

b = -2/8

c = -0.2

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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

Write Ef as the sum of unit vectors E(-5,-2,4) and F(6,-6,6).

dexar [7]

Answer:

B. 11i-4j+2k

Step-by-step explanation:

5 0

3 years ago

Find the area of the polygon 10 cm, 10 cm, 16 cm

Zigmanuir [339]

160 cm because if I am correct, then two of the sides are labeled as 10 cm. Which means that they are both the same measurement.

6 0

2 years ago

The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co

yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.

Answering 15 questions correctly will give you a grade of 75 what is the.

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

$\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5$

Hence, the constant of variation is 5

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2 years ago

Need help with geometry

ra1l [238]

The answer is x=3 because abt+tbc=abc

3 0

3 years ago