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Andreyy89
4 years ago
13

1) Given the formula for the general term of an arithmetic sequence, determine t12.

Mathematics
1 answer:
o-na [289]4 years ago
8 0
It’s B hope this helps
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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
What are the next three numbers in this pattern 1,2,3,5,8
stepladder [879]
13, 21, 34 are the next three numbers
7 0
4 years ago
Read 2 more answers
Solve the following system of equations. Express your answer as an ordered pair in the format (a,
choli [55]
The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
2x=16-(-17.5),
2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)


8 0
3 years ago
Read 2 more answers
Which inequality is represented by the graph?
PSYCHO15rus [73]

Answer:

<h2>NONE OF THEM</h2>

Step-by-step explanation:

From the graph,

y and x intercepts are (0,-3) and approximately (1.9,0) respectively

for A, C and D : y=53x-3

x intercept the value of y=0, and y intercept x=0.

x and y intercepts are (\frac{3}{53},0 ) and approximately (0,-3) respectively

for B: y=35x-5

 x and y intercepts are (\frac{3}{35},0 ) and approximately (0,-3) respectively

Therefore x and y intercepts for the lines y\leq 53x-3,y>53x-3, y and y they are not equal to the x and y intercepts of the given graph

3 0
3 years ago
What is the percent of 53 out of 191 people
Tomtit [17]

Answer:

101.23

Step-by-step explanation:

Go to https://percentagecalculator.net and enter it!

6 0
3 years ago
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