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Katarina [22]
3 years ago
10

A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120 s m ​ 5120, start fraction, start text, m, e

nd text, divided by, start text, s, end text, end fraction. At what rate does the sound wave travel in \dfrac{\text{km}}{\text{h}} h km ​ start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction? \dfrac{\text{km}}{\text{h}} h km ​
Mathematics
1 answer:
klio [65]3 years ago
6 0

Answer:

18432 km/h

Step-by-step explanation:

It is given that a sound wave travels through iron at a rate of 5120 m/s.

We know that

1 km = 1000 m

1 hour = 60 minutes

1 minutes = 60 second

Using these conversions we get

1 m = 0.001 km

1 hour  = 3600 second

5120\text{ m/s }=5120\times 0.001\times 3600\text{ km/h}

5120\text{ m/s }=18432\text{ km/h}

Therefore, the sound wave travels through iron at a rate of 18432 km/h.

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Choose the family of distributions that best fits the described situation: You want to model the number of lines of code run unt
damaskus [11]

Answer is : Geometric distribution

Let X be the number of lines of codes run until the first bug is detected

That is X is the random variable which is the number of trials needed to get first success. Success here is detection of bug . Success has constant probability in each trail which is p= 0.003 . That is before the first success we have    X-1 failures with probability (1-0.003)

The probability mass function of X is

P(X=x) = (1-p)x-1 p

P(X=x ) = (1-0.003)x-1 *0.003 , x= 1,2,....

This distribution is also Negative Binomial distribution  

As geometric distribution is special case of Negative Binomial Distribution

In Negative Binomial distribution , we have r success ( r\geq 1) and the random variable is the number of Bernouli trials needed to get r successes .

If we put , r= 1, that is number of success is 1

Then the given situation , that is number of lines code run(X) before the first bug follow negative binomial distribution

The probability mass function of Negative Binomial distribution is

P(X=x) = (1-p)x-r pr ,x= r , r+1 , .....

The probability mass function of X is

P(X=x, r=1 ) = (1-0.003)x-1 *0.003 , x= 1,2,....

3 0
4 years ago
A local Latin restaurant specializes in Peruvian, Cuban, and Tex-Mex cuisines in their recipes. Lomo Saltado, “Beef Stir-fry,” i
Vikentia [17]

Answer:

The cost per meal not including the $5

Step-by-step explanation:

or whatever is says something like that

3 0
3 years ago
Read 2 more answers
Do you like potato chips? 1+1
borishaifa [10]

Answer:

yes 1+1=2

Step-by-step explanation:

3 0
3 years ago
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Triangles Unit Test part 1 A length of rope is stretched between the top edge of a building and a stake in the ground. The head
musickatia [10]

Answer:

The building is 32 feet tall.

Step-by-step explanation:

Consider the figure drawn below representing the given scenario.

AB represents the height of building, BC is the distance between the stake and building, C represents the stake at ground level, and DE represents the height of the tree growing halfway between building and stake.

Since the tree is growing halfway between B and C, therefore, the point E divides the line segment BC into 2 equal parts.

Therefore, BE = EC or E is the midpoint of BC.

Also, from the figure, it is clear that both tree and building are vertical to the ground. So, DE || AB.

Now, from converse of mid-segment theorem, if a line passes through the midpoint of one side of a triangle and also parallel to the third side, then the line also passes through the midpoint of the second side and half the length of the third side (parallel side)

So,

DE=\frac{1}{2}\times AB\\\\16=\frac{AB}{2}\\\\AB=16\times 2=32\ ft

Therefore, the building is 32 feet tall.

5 0
3 years ago
Solve the formula for the area of a triangle A = (1/2) bh for height h
Hitman42 [59]
A = (1/2) bh for height h

2A = bh

first multiply both sides by 2 then divide both sides by b

Area of triangle = (1/2)bh

A = (1/2)bh

2A = bh

h = 2A/b

110 = 1/2(11)h

110 = 5.5h

110/5.5 = 20

The answer Is H = 20

Hope this helps (:
4 0
3 years ago
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