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torisob [31]
3 years ago
13

Help me with this question

Mathematics
1 answer:
Maksim231197 [3]3 years ago
4 0

Answer:

3m/s

Step-by-step explanation:

Your welcome

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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
8-2x=5<br> Please help in the next ten minutes
mihalych1998 [28]
8-2x=5\\&#10;-2x=-3\\&#10;x=\dfrac{3}{2}
4 0
4 years ago
Read 2 more answers
What is the value of the expression
Inga [223]

Answer:

The answer is ten or Letter C

Step-by-step explanation:

You plug in the values of w and x so you get 3(1/4*8)+4. Multiply whats in the parthensis then distribute the 3 into 2 and get 6. So 6+4=10. Thats the answer for this expression. I hope this helps!

8 0
3 years ago
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Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents. ​
Brilliant_brown [7]

9514 1404 393

Answer:

  1. 85°
  2. 60°

Step-by-step explanation:

1. Angle JKL is half the measure of the intercepted arc JK.

  (1/2)JK = 1/2(360° -190°) = (1/2)(170°) = 85°

  angle JKL is 85°

__

2. The angle between tangents is the supplement of the intercepted arc.

  angle JKL = 180° -(360° -240°)

  angle JKL = 60°

8 0
3 years ago
Alisa had 1 &amp; 1/2 liter of juice in a bottle. She drank three eighths liters of juice. What fraction of the juice in the bot
emmasim [6.3K]

Answer:

1/4

Step-by-step explanation:

The fraction of the juice Alisa drank was

   3/8 liter

--------------------

  3/2 liters

and this fraction can be simplified by inverting the divisor (3/2 liters) and multiplying instead:

 3       2

------ * ----- = 2/8 or 1/4

  8       3

Alisa drank 1/4 of the juice that was originally in the bottle.

4 0
3 years ago
Read 2 more answers
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