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NikAS [45]
3 years ago
6

If I leave a cinema at 12.00am and arrive at 12.00pm how many hours are that.

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

a.12 hours

Step-by-step explanation:

12 am (00:00) represents midnight and 12 pm is noon (pm represents noon - after noon)so the time passes between 12 am to 12 pm is 12 hours

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Identify the slope and Y- intercept of the graph of the equation. Then graph the equation. Y =-5/4x + 1
lbvjy [14]
Well the slope would be m=-5/4 and the y-intercept would be 1 because of y=mx+b

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3 years ago
Kiara has $20 to spend.She wants to buy a book for $12 and spend the remaining money on name tags for he luggage.Each name tag c
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The answer is

C) 2x + 12 < 20
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What’s the answer to this one! 15 points!
Phoenix [80]

Answer:

D

Step-by-step explanation:

Because they are opposite of each other

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Solve this equation: 80 = 3y + 2y + 4 + 1.
Verdich [7]
Let us first write down the given equation.
80 = 3y + 2y + 4 + 1
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6 0
3 years ago
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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
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