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Korvikt [17]
3 years ago
9

a uniform path of width 2m surrounding a pool 20m×16m is to be paved with marbels of side 10cm ×8cm each. if marble cost Rs 5 fi

nd the cost of paving the path.
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
First you have to figure out the area of the pool and the path together:

(20m + 2m)*(16m + 2m) = 22m * 18m = 396m^2

When you now subtract the area of the pool from the whole area, you'll get the area of the path:

396m^2 - (20m * 16m) = 396m^2 - 320m^2 = 76m^2 => area of the path

Next step is to figure out the area of one tile:

0,1m * 0,08m = 0,08m^2

Last step is to figure out, how many tiles fit in 76m^2:

76m^2 / 0,08m^2 = 950

costs: 950 * Rs 5 = Rs 4750
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A company is in the business of finding addresses of long-lost friends. The company claims to have a 70% success rate. Suppose t
Galina-37 [17]

Answer:

a) Figure attached

b) E(X) =\mu= np = 9*0.7=6.3

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

c) For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=9, p=0.7)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

For this case we can use the following R code:

> x <- seq(0,9,by = 1)

> y <- dbinom(x,9,0.7)

> plot(x,y,main="Histogram",type = "h")

And we can see on the figure attached the solution.

We see that the higher probabilities are from 4 to 9

Part b

The expected value is given by:

E(X) =\mu= np = 9*0.7=6.3

The variance is given by:

Var (X) =\sigma^2= np(1-p) = 9*0.7*(1-0.7)= 1.89

And the standard deviation is:

Sd(X) =\sigma= \sqrt{np(1-p)}= \sqrt{9*0.7*(1-0.7)}=1.375

Part c

First we can find the probability that at least two addresses will be found in the list of 9 that we have like this:

P(X \geq 2)

We can use the complement rule and we have:

P(X \geq 2) = 1-P(X

We find the indicidual probabilities:

P(X=0)=(9C0)(0.7)^0 (1-0.7)^{9-0}=0.00001968

P(X=1)=(9C1)(0.7)^1 (1-0.7)^{9-1}=0.000413

P(X \geq 2) = 1-[0.00001968+0.000413]=0.9996

If we use the case of n=8 and we find P(X\leq 2), we got:

P(X \leq 2) = 0.9987

For the case n= 7

P(X \leq 2) = 0.9962

For the case n= 6

P(X \leq 2) = 0.9891

For the case n= 5

P(X \leq 2) = 0.9692

So then we need at least  n=5 or n=6 to satisfy the condition required.

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Kyilah bought 41.19 grams of chili and 19.415 grams of sugar. Did Kyilah buy more chili or sugar?
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Answer:

Chili I think, I don't know for certain

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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AT&amp;T charges a connection fee of 35 cents and 3 cents per minute. Verizon charges a connection fee of 45 cents and 2 cents p
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Answer:

10 Minutes

Step-by-step explanation:

At&t = 3x+35

Verizon = 2x+45

2x+45=3x+35

-2x       -2x

45=x+35

-35   -35

x=10

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You had $23 to spend on three raffle tickets. After buying them you had $17.
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Answer:

$2

Step-by-step explanation:

23-3x=17

-3x=-6

x=2

Therefore, each raffle ticket cost $2.

3 0
2 years ago
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