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MrRissso [65]
3 years ago
15

2. This box plot shows the number of minutes passengers spent in an airport departure lounge. What is the minimum number of minu

tes spent waiting in the lounge? 3. This box plot shows the time (in minutes) spent commuting to work by a group of office workers. What is the maximum commute time in minutes? 5 points if correct! ​

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

960

Step-by-step explanation:

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A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled
klasskru [66]

Answer:

The standard error of the mean is 4.5.

Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

The mean of the sample is:

\bar{x}=\frac{1}n} \sum x_i =\frac{30+40+60+80+20+85}{6}=52.5

The standard deviation of the sample is calculated as:

s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8

Then, we can calculate the standard error of the mean as:

\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}=\frac{26.8}{6}= 4.5

6 0
3 years ago
Area of a lake is 9/20 a square mile. The width is 1/5 the length. What is the length and the width.
katovenus [111]
Say, length =x mileWidth =.  x/5 milex*x/5=9/2020x*x=45x*x=45/20      =9/4x=3/2 mileLength =3/2 milesWidth=. 3/10 miles
3 0
3 years ago
The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Svetradugi [14.3K]

Question:

The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)

Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft

Not fully sure....

But it should be right...

6 0
1 year ago
Simplify. Express your answer as a single fraction in simplest form.<br> x x<br> 5
lbvjy [14]

Answer:

\frac{x}{20}

Step-by-step explanation:

Given

\frac{x}{4} - \frac{x}{5}

The LCM of 4 and 5 is 20

= \frac{5x-4x}{20}

= \frac{x}{20}

5 0
2 years ago
FIRST TO ANSWER GETS BRAINLIEST!
scZoUnD [109]

Answer:

\huge \boxed{ \red{ \boxed{c)78 \: units ^{2} }}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • circle
  • PEMDAS
<h3>tips and formulas:</h3>
  • \rm \:A_{shaded}=  \dfrac{\theta}{360}  \times \pi {r}^{2}
<h3>let's solve:</h3>
  1. \sf sustitute \: the \: value \: of \:  \theta \: and \: r :  \\ A_{shaded} =  \frac{140}{360}  \times \pi \times  {8}^{2}
  2. \sf simpify \: squre :  \\ A_{shaded} =  \frac{140}{360}  \times \pi \times  64
  3. \sf simpify \: fraction:  \\ A_{shaded} =  \frac{7}{18}  \times \pi \times  64
  4. \sf  reduce \: 64:  \\ A_{shaded} =  \frac{7}{ \cancel{ \: 18} \:  ^{9} }  \times \pi \times  \cancel{ 64}  \: ^{32}  \\ A_{shaded} =  \frac{7}{9} \times \pi \times 32\\ A_{shaded} =  \frac{224\pi}{9}

\large A_{shaded}\approx 78 \: square  \: units

8 0
2 years ago
Read 2 more answers
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