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Stolb23 [73]
3 years ago
10

The data shows the number of customers Joe's Diner served during lunchtime hours for the past 12 days. 22, 25, 50, 58, 28, 24, 2

5, 51, 43, 32, 49, 38 Which box plot best displays these data?
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

Boxplot A

Step-by-step explanation:

Given the data:

22, 25, 50, 58, 28, 24, 25, 51, 43, 32, 49, 38

We should obtain the 5 number summary and check which boxplot correctly displays the information :

Reordered data : 22, 24, 25, 25, 28, 32, 38, 43, 49, 50, 51, 58

. Maximum = 58

Minimum = 22

Lower quartile : 1/4(n+1)th term

n = 12

1/4(13)th term = 3.25

(3rd + 4th) = (25 + 25) /2 = 25

Median :

1/2(13)th = 6.5th term

(32 + 38) /2 = 35

Upper quartile :

3/4(13)th term 9.75 term

(49 + 50) / 2

= 49.5

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23. The pilot of a small private plane can look forward and see the control tower for a small airstrip.
Alex73 [517]

Answer:

Altitude of the plane is 0.5 miles.

Step-by-step explanation:

From the figure attached,

An airplane A is at height h miles observes a small airstrip at D and a factory at F, 4.8 miles apart from D.

Angle of depressions for the airstrip is 13.1° and the factory is 4.1°.

We have to calculate the airplane's altitude h.

From ΔABF,

tan4.1 = \frac{AB}{BF}=\frac{h}{(x+4.8)}

h = 0.07168(x + 4.8) -----(1)

From ΔABD,

tan13.1 = \frac{h}{x}

h = 0.2327x -----(2)

From equation (1) and (2),

0.07168(x + 4.8) = 0.2327x

0.2327x - 0.07168x = 4.8×0.07168

0.161x = 0.344

x = \frac{0.344}{0.161}=2.14 miles

From equation (2),

h = 0.2327×2.137

h = 0.4972 miles

h ≈ 0.5 miles

Therefore, 0.5 miles is the altitude of the plane.

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Answer:

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