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Oxana [17]
3 years ago
14

The local amusement park was interested in the average wait time at their most popular roller coaster at the peak park time (2 p

.m.). they selected 13 patrons and had them get in line between 2 and 3 p.m. each was given a stop watch to record the time they spent in line. the times recorded were as follows (in minutes) (mean = 114.15): 118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118 what is the variance?
Mathematics
1 answer:
Ahat [919]3 years ago
8 0
With the use of the statistics function on a calculator the value of 23.62 was found for s, the sample standard deviation. The sample variance is:
s^{2}=23.62^{2}=558
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Divide 32 in the ratio 3:1
Igoryamba
------------------------------------------------
Ratio
------------------------------------------------
3 : 1

------------------------------------------------
Find total parts
------------------------------------------------
3 + 1 = 4

------------------------------------------------
Split the 32 according to the parts
------------------------------------------------
4  parts = 32
1 part = 32 ÷ 4
1 part = 8
 3 part = 8 x 3 = 24

------------------------------------------------
Split the 32 into the ratio
------------------------------------------------
24 : 8

------------------------------------------------
Answer: 24 : 8 
------------------------------------------------
3 0
3 years ago
What is the measure in each angle? A? B? C?
andrey2020 [161]

Answer:

∠A = 48°, ∠B = 48°, and ∠C = 84°

Step-by-step explanation:

AB = CB                Given

m ∠A = m ∠C      If opposite sides are =, then those opposite angles are =

6(x - 3) = 4(x + 1)

6x - 18 = 4x + 4

2x - 18 =  4

2x = 22

x = 11

m ∠A = 6(11 - 3) = 6(8) = 48°

m ∠C = 4(11+ 1) = 4(12) = 48°  

The sum of the angles in a triangle = 180°

48° + 48° m ∠B = 180°

 96°+ m ∠B = 180°

      84° =  m ∠B

5 0
2 years ago
Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v
34kurt

Answer:

a) The coordinates of the missing vertex = (7, 8)

b) Area = 18 square units

   Perimeter = 18 units

Step-by-step explanation:

a) We know three of the four vertices:

A: (4, 2)           C ______ D(?)

B: (7, 2)               |             |

C: (4, 8)           A |______| B  

To find the coordinates of the missing vertex we need to calculate the distance in the x-direction from point A to point B:

B_{x} - A_{x} = 7 - 4 = 3                    

Hence, the distance of point D from point C in the x-direction is:

D_{x} = C_{x} + 3 = 4 + 3 = 7

Now, to find the coordinate in "y" we need to calculate the distance in the y-direction between point C and point A:

C_{y} - A_{y} = 8 - 2 = 6  

Then, the distance of point D from point B in the y-direction is:

D_{y} = B_{y} + 6 = 2 + 6 = 8

Therefore, the coordinates of the missing vertex (point D) are:

D = (D_{x}, D_{y}) = (7, 8)    

b) The area of the rectangle is:

a = (B_{x} - A_{x})*(C_{y} - A_{y}) = 3*6 = 18 units^{2}

The perimeter is given by:

p = 2*(3 + 6) = 18 units

I hope it helps you!          

8 0
2 years ago
Fred used a number line to find the value of (-3)+(-5). Which of these number lines did he use?
Leokris [45]

Answer is in the file below

tinyurl.com/wpazsebu

7 0
3 years ago
Read 2 more answers
I need help please?!):
motikmotik

Answer:

Option C:   $ \sqrt{\textbf{121}} $

Step-by-step explanation:

Given the side length of a square is 11 units.

Note that $ \sqrt{121} = \pm 11 $

Since, length cannot be negative, we can eliminate - 11.

Hence, the length of the side of the square is 11 units = $ \sqrt{11^2} = \sqrt{121} $.

Hence, the answer.

7 0
3 years ago
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