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timurjin [86]
2 years ago
7

marys age is 2 upon 3 that of peters age. two years ago marys age was 1 upon 2 of whats peters age will be in 5years time. how o

ld is peter now plzz
Mathematics
1 answer:
Nitella [24]2 years ago
4 0

Answer:

the Peter age be 27

Step-by-step explanation:

Let assume peter be

And, then mary is 2p ÷ 3

So

The equation would be  

2p ÷ 3  - 2 = 1 ÷ 2 (p + 5)

4p - 12 = 3p + 15

p = 27

So Peter age be 27

And, the mary age is

= 2 (27) ÷ 3

= 18

Hence, the Peter age be 27

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The data set shown below has an outlier. Determine the outlier and then answer the questions as to what happens to the median, m
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The mean is the average value of the given data set. When the outlier is removed the mean and the median of the data set are changed.

<h3>What are mean, median, and mode?</h3>
  • The mean is the average value of the given data set.
  • The median is the middle value of a given data set when the data is arranged in increasing order.
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The data set can be arranged as 12, 19, 19, 20, 21, 22, 22, 23, 24, 26, 27, 28, 29, 30, 32, 35, 48. Now, The means, median and mode for the data set is,

Mean = (29+19+35+27+21+48+23+12+24+26+20+28+30+22+19+32+22) / 17

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The outlier in the data set is 48, therefore, the mean median and mode now will be,

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Hence, when the outlier is removed the mean and the median of the data set are changed.

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You are standing on top of a building looking down at your friend who is getting chased by a zombie. The building is 150 feet ta
Naddika [18.5K]

Answer:

a) 125.865 ft

b) 321.676 ft

c) 195.811 ft

Step-by-step explanation:

Given:-

- The height of the building, H = 150 ft

- The angle of elevation ( friend - top of building ), θ1 = 50°

- The angle of elevation ( zombie - top of building ), θ2 = 25°

Find:-

a) How far away is your friend from the building

b) How far away is the zombie from the building

c) How far away is the zombie from your friend

Solution:-

- We will consider the two right angle triangles with similar height ( H ) which denotes the height of the building.

- The distance your friend is from the building is ( x1 ) and looks up to the top of the building with angle of elevation of ( θ1 ).

- We can apply the trigonometric ratio for the right angle triangle formed between your friend, foot of the building and you ( on top of the building ):

                    tan ( θ1 ) = H / x1

                    x1 = H / tan ( θ1 )

                    x1 = 150 / tan ( 50° )

                    x1 = 125.865 ft    ... Answer ( a )

- The distance zombie is from the building is ( x2 ) and looks up to the top of the building with angle of elevation of ( θ2 ).

- Similarly, apply the appropriate trigonometric ratio for the right angle triangle formed between zombie, foot of the building and you ( on top of the building ):

                    tan ( θ2 ) = H / x2

                    x2 = H / tan ( θ2 )

                    x2 = 150 / tan ( 25° )

                    x2 = 321.676 ft    ... Answer ( b )    

- The distance between your friend and the zombie ( s ) can now be determined from subtracting the distance of your friend from the building from distance of the zombie from the building:

                    s = x2 - x1

                    s = 321.676 - 125.865

                    s =  195.811 ft    ... Answer ( c )              

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