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3 years ago

How to write 15 409 in word form

1 answer:

7 0

We have to write 15,409 in word form.
15,409 = 1 * 10,000 + 5 * 1,000 + 4 * 100 + 0 * 10 + 9 * 1
Answer:
The number is: fifteen thousand four hundred and nine.

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For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.

Yakvenalex [24]

Answer:

$Sd(X) =\sqrt{1.2}=1.095$

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:

$X \sim Binom(n=5, p=0.4)$

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:

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

The mean for the binomial distribution is given by:

$E(X) =np=5*0.4=2$

And the variance is given by:

$Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2$

And the deviation is just the square root of the variance so we got:

$Sd(X) =\sqrt{1.2}=1.095$

7 0

3 years ago

Bill has enough money to buy no more than 1/2 pound of cheese. How much cheese could he buy?

andriy [413]

1/2 I guess I don't think you typed in the question correctly. Not trying to be mean.

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3 years ago

what is the circumference of the circle with an arc length of 11 and an interior angle of 27° Round to nearest tenth plz

igor_vitrenko [27]

Answer:

146⅔ units

Step-by-step explanation:

27° : 11

360° : X

X = (11/27) × 360

X = 146 ⅔

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