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3 years ago

One hen lays 7 eggs in three days.How many eggs do three hens lay in nine days?

Mathematics

2 answers:

kramer3 years ago

3 0

Answer:

63 eggs.

Step-by-step explanation:

7 times 3 equals 21, which is the amount of eggs one chicken lays in 9 days. Multiply that by 3, you get 63.

zlopas [31]3 years ago

3 0

Answer:

63 eggs

Step-by-step explanation:

Attached file

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4 years ago

A tennis player makes a successful first serve 51% of the time. If she serves 9 times, what is the probability that she gets exa

aleksley [76]

Answer:

$P(X=3)$

And we can use the probability mas function and we got:

$P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542$

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:

$X \sim Binom(n=9, p=0.51)$

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:

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

And we want this probability:

$P(X=3)$

And we can use the probability mas function and we got:

$P(X=3)=(9C3)(0.51)^3 (1-0.51)^{9-3}=0.1542$

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3 years ago

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4 years ago

write a system of equations for the problem, and then solve the system. if a plane can travel 340 miles per hour with the wind o

Dennis_Churaev [7]

Answer:

The speed of plane = 40 m/s

The speed of the wind = 300 m/s

Step-by-step explanation:

Let the speed of the plane = Y

And the speed of the wind = X

If the plane then travel 340 miles per hour with the wind, that means the plane and the wind are moving in the same direction. Therefore,

X + Y = 340 ..... ( 1 )

Also, 260 miles per hour against the wind. That is, the plane is moving opposite to the direction of the wind. Therefore,

X - Y = 260 ..... ( 2 )

Solve the two equations simultaneously by addition. That will eliminate Y

X + Y = 340

X - Y = 260

2X = 600

X = 600/2

X = 300 m/s

Substitutes X in equation (1)

300 + Y = 340

Make Y the subject of formula by collecting the like terms

Y = 340 - 300

Y = 40 m/s

Therefore, the speed of the plane is 40 m/s. While the speed of the wind is 300 m/s.

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4 years ago

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4 years ago

One hen lays 7 eggs in three days.How many eggs do three hens lay in nine days?​

One hen lays 7 eggs in three days.How many eggs do three hens lay in nine days?