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BARSIC [14]
3 years ago
8

A building 30 feet tall casts a shadow 20 feet long. A person 6 feet tall is walking directly away from the building toward the

edge of the building shadow. How far from the building will the person be when the person shadow just begins to emerge from that of the building
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

  16 feet

Step-by-step explanation:

The shadow is 20/30 = 2/3 the length of the object, so the 6-foot person's shadow will be 4 ft long. It will begin to emerge when the person is 4 feet from the tip of the building's shadow. That distance is ...

  20 ft - 4 ft = 16 ft

from the building.

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The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an
Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

5 0
3 years ago
Do y’all know the answer to this ?
AleksAgata [21]
Nope idk sorry babe
7 0
3 years ago
Read 2 more answers
Proszę o pomoc!! Daje naj.
Karo-lina-s [1.5K]

Answer:

a is 60 b is 48

Step-by-step explanation:and i will get the rest to you when i am done

5 0
3 years ago
What's the square root of 0.4 repeating
avanturin [10]
The answer depends on knowing that 0.4444.... is equal to 4/9; 
<span>the square root of 4/9 is 2/3 = 0.6666....</span>
6 0
3 years ago
Find the distance between points C(-1, -1) and D(6, 2) to the nearest tenth.
givi [52]

Answer:

≈ 7.6

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, - 1) and (x₂, y₂ ) = (6, 2)

d = \sqrt{(6+1)^2+(2+1)^2}

  = \sqrt{7^2+3^2}

  = \sqrt{49+9}

  = \sqrt{58} ≈ 7.6 ( to the nearest tenth )

8 0
3 years ago
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