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Elodia [21]
3 years ago
15

If a cylindrical tank holds 100,00 gallons of water which can be drained from thebottom of the tank in an hour, then Torricelli’

s Law gives the volumeVof waterremaining in the tank aftertminutes asV(t) = 100,000(1−160t)20≤t≤60(a) What is the physical meaning ofV′(t)? What are the units?(b) Find and interpret the quantityV′(10).
Mathematics
1 answer:
tatyana61 [14]3 years ago
5 0

Answer:

First, I think the right formula is:

V(t) = 100,000(1-\frac{t}{60} ),20\leq t\leq 60

A) We first derive the formula given above:

V'(t)=-\frac{100000}{60}

V'(t) represent the drain rate of the tank volume.

B) the units is: gallons/time

C) at V'(10) = 100000/60 = 1666.66 gallons/time.

because the formula V'(t) is constant so it doesn't depend of time.

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Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett
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Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

Word = DANCER

n =6 --- number of letters

Solving (a): Number of arrangements.

We have:

n =6

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =6!

This gives:

Total =6*5*4*3*2*1

Total =720

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

n = 5

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =5!

This gives:

Total =5*4*3*2*1

Total =120

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

n = 4

So, the number of arrangements is calculated as:

Total =n!

This gives:

Total =4!

This gives:

Total =4*3*2*1

Total =24

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3 years ago
A zombie apocalypse follows a/an ___________ pattern.Immersive Reader
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Answer:

B. Quadratic​​​​​​​​​​

8 0
3 years ago
According to a survey, 40% of adults watch a particular television show. Six adults are selected at random. The binomial distrib
iren [92.7K]

Answer:

The distribution is  

b) skewed.

The sum of the probabilities is:

1

Step-by-step explanation:

In a binomial distribution, p represents the probability of success. Success in the sense that the event of interest happens. In the model presented, the probability of success p is 0.4 since we are informed that 40% of adults watch a particular television show.

The next quantity of significance in a binomial model is the number of independent trials, n. In our case there are 6 independent trials since we are told that 6 adults were selected at random. If we let the random variable K denote the number of adults out of the 6 who watch the television show, then K is a binomial random variable with parameters;

n = 6 and p = 0.4

A binomial distribution is only symmetric when either p is 0.5 or n is large. In the presented scenario none of this conditions is met since p is 0.4 while n is just 6 which is relatively small. Thus we conclude that the distribution is not symmetric but rather skewed.

The sum of the probabilities is any discrete probability distribution such as the bernoulli, binomial, negative binomial, poisson, or the geometric distribution is always equal to 1. That's a rule of thumb.

7 0
3 years ago
Read 2 more answers
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