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alex41 [277]
3 years ago
15

A surveyor knows an elevation at Catch Basin to be elev=2156.77 ft. The surveyor takes a BS=2.67 ft on a rod at BM Catch Basin a

nd an FS=6.72 ft on a rod at point X.
What is the elevation at point X? Express your answer to six significant figures.
Engineering
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

the elevation at point X is 2152.72 ft

Explanation:

given data

elev = 2156.77 ft

BS = 2.67 ft

FS = 6.72 ft

solution

first we get here height of instrument that is

H.I = elev + BS   ..............1

put here value

H.I =  2156.77 ft + 2.67 ft  

H.I = 2159.44 ft

and

Elevation at point (x) will be

point (x)  = H.I - FS   .............2

point (x)  = 2159.44 ft  - 6.72 ft

point (x)  = 2152.72 ft

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A large class with 1,000 students took a quiz consisting of ten questions. To get an A, students needed to get 9 or 10 questions
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Answer:

a. 0.11

b. 110 students

c. 50 students

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g. 0.96

Explanation:

(See attachment below)

a. Probability that a student got an A

To get an A, the student needs to get 9 or 10 questions right.

That means we want P(X≥9);

P(X>9) = P(9)+P(10)

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b. How many students got an A on the quiz

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Probability of getting A = 0.11 ---- Calculated from (a)

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Number of students = 110 students

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c. How many students did not miss a single question

For a student not to miss a single question, then that student scores a total of 10 out of possible 10

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Number of Students = 0.05 * 1000

Number of Students = 50 students

We see that 5

d. Probability that a student pass the quiz

To pass, a student needed to get at least 6 questions right.

So we want P(X>=6);

P(X>=) =P(6)+P(7)+P(8)+P(9)+P(10)

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So, the probability of a student passing the quiz is 0.46

e. Number of students that pass the quiz

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Probability of passing the quiz = 0.46 ----- Calculated from (d)

Number of students = 0.46 * 1000

Number of students = 460 students

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f. Number of students that failed the quiz

Total students = 1000

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Number of students that failed = 1000 - 460

Number of students that failed = 540

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Using the complement rule,

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P(X>=1) = 1 - 0.04

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