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mel-nik [20]
3 years ago
11

A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the line at

the end of a randomly chosen red light. The engineer believes that the probability that X = x is proportional to (x + 1)(8 − x) for x = 0, . . . , 7 (the possible values of X), i.e. P(X = x) = ( C(x + 1)(8 − x) for x = 0, 1, . . . , 7 0 otherwise 1. Determine the value of C. 2. Find the probability that X will be at least 5.

Engineering
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

a) C= 1/120

b) P(X>=5) = 0.333

Explanation:

The attached file contains the explanation for the answers

notka56 [123]3 years ago
7 0

Answer:

A) C = 1/120

B) P( x ≥ 5) = 1/3

Explanation:

I've attached explanations to this.

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Essence of check line in chain surveying
zimovet [89]

Answer:

Following are the description on the chain surveying:

Explanation:

The checking which is also called a beginning of the test is indeed a line uniting the summit of a triangular with other fixed locations from both sides of a triangle. To verify the overall precision of a framework, the check-line is measured. When assessed mostly on the ground, every length of an examination line should match its height. It also is called a proof line that connects the top of the triangle with any fixed location in the contrary direction. It is utilized for verifying the preciseness of a work.

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Differnence between boat and ship​
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a ship is a large vessel intended for oceangoing or at least deep-water transport, and a boat is anything else." Basically, a ship can carry a boat, but a boat cannot carry a ship

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3 years ago
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where σ(t) and σ(0) represents the time-dependent and initial (i.e., time =0) stresses, respectively, and t and τ denote elapsed
artcher [175]

Answer:

MUDA MUDA A certain vehicle loses 3.5% of its value each year. If the vehicle has an initial value of $11,168, construct a model that represents the value of the vehicle after a certain number of years. Use your model to compute the value of the vehicle at the end of 6 years.

Explanation:

4 0
3 years ago
(a) If 5 x 10^17 phosphorus atoms per cm3 are add to silicon as a substitutional impurity, determine the percentage of silicon a
Y_Kistochka [10]

Answer:

The percentage of silicon atoms per unit volume that are displaced in the single crystal lattice = 0.001 %

The percentage of silicon atoms per unit volume that are displaced in the single crystal lattice with boron atoms = 0.4 ×10^{-5} %

Explanation:

No. of phosphorus atoms = 5 × 10^{17} \ cm^{-3}

The volume occupied by a single Si atom

V_{si} = \frac{a^{3} }{8}

V_{si} = \frac{5.43^{3}(10^{-8} )^{3}  }{8}

V_{si} = 2 × 10^{-23} \frac{cm^{3} }{atom}

n_{si} = \frac{1}{V_{si} }

n_{si} = 5 × 10^{22} \frac{atoms}{cm^{3} }

PCT = \frac{N_p}{N_{si}}   100

Put the values in above equation we get

PCT = \frac{5 (10^{17} )}{5 (10^{22}) } 100

PCT = 10^{-3} = 0.001 %

These are the percentage of silicon atoms per unit volume that are displaced in the single crystal lattice.

(b).

No. of boron atoms = 2 × 10^{15} \ cm^{-3}

The volume occupied by a single Si atom

V_{si} = \frac{a^{3} }{8}

V_{si} = \frac{5.43^{3}(10^{-8} )^{3}  }{8}

V_{si} = 2 × 10^{-23} \frac{cm^{3} }{atom}

n_{si} = \frac{1}{V_{si} }

n_{si} = 5 × 10^{22} \frac{atoms}{cm^{3} }

PCT = \frac{N_p}{N_{si}}   100

Put the values in above equation we get

PCT = \frac{2 (10^{15} )}{5 (10^{22}) } 100

PCT = 0.4 ×10^{-5} %

These are the percentage of silicon atoms per unit volume that are displaced in the single crystal lattice.

7 0
3 years ago
Steam enters an insulated turbine at 100 bar, 400oC. At the exit, the pressure and quality are 200 kPa and 0.47, respectively. D
OverLord2011 [107]

Answer:

power produced = 3098.52 kW

Explanation:

given data

insulated turbine = 100 bar

temperature = 400°C

pressure = 200 kPa

mass flow rate = 1.99 kg/s

solution

we use here steam table for At 100 bar and 400°C  

h1 = 3096.5 KJ/Kg

and  

at P2 = 200 Kpa

h2 = hf + 0.47 hg

h2 = 504.7 + 0.47 ×  2201.6  

h2 = 1539.452 KJ/Kg

so here

power produced  is express as

power produced = m × (h1 - h2)    .................1

power produced = 1.99 × ( 3096.5 - 1539.452 )

power produced = 3098.52 kW

8 0
3 years ago
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