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Molodets [167]
2 years ago
15

One candy making machine can produce 350 Swedish jelly candies per minute. At that rate, how many Swedish jelly fish candies cou

ld 6 identical machines produce in 10 minutes?
Mathematics
1 answer:
hammer [34]2 years ago
4 0

Answer:

21000

Step-by-step explanation:

We are given that

1 candy  making machine can produce Swedish jelly candies per minute=350

We have to find the number of Swedish jelly fish candies could  6 identical machines produce in 10 minutes.

In 10 minutes, 1 candy making machine can produce candies=350\times 10=3500

1 candy making machine can produce candies in 10 minutes=3500

If the rate same then

6 identical candy machine can produce candies in 10 minutes=3500\times 6=21000

Hence, 6 identical machines can produce  Swedish jelly fish candies in 10 minutes=21000

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The time between arrivals of small aircraft at a county airport is exponentially distributed with a mean of one hour. Round the
navik [9.2K]

Answer:

a) 0.019

b) 0.563

c) x = 1.966 hours

Step-by-step explanation:

E(X) = 1

Exponential random variable's probability function is given as

P(X=x) = λ e^(-λ.x)

The cumulative distribution function is given as

P(X ≤ x) = 1 - e^(-λ.x)

a) The time between the arrivals of small aircraft at a county airport that is exponentially distributed.

But the number of planes that land every hour will be obtained using the Poisson distribution formula.

It is the best for discrete systems.

Poisson distribution formula is given as

P(X = x) = (e^-λ)(λˣ)/x!

λ = 1 aircraft per hour.

The probability that more than three aircraft arrive within an hour = P(X > 3)

P(X > 3) = 1 - P(X ≤ 3) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

P(X > 3) = 1 - 0.98101 = 0.01899 = 0.019 to 3 d.p

b) If 30 separate one-hour intervals are chosen, what Is the probability that no interval contains more than three arrivals

Probability of one 1-hour interval not containing more than 3 arrivals = 1 - P(X > 3)

= 1 - 0.01899 = 0.98101

Probability that thirty 1-hour intervals will not contain more than 3 arrivals = (0.98101)³⁰ = 0.5626 = 0.563 to 3 d.p

c) Determine the length of an interval of time (In hours) such that the probability that no arrivals occur during the interval is 0.14

We can now use the cumulative distribution function for exponential random variable for this

P(X ≤ x) = 1 - e^(-λ.x)

P(X > x) = 1 - P(X ≤ x)

P(X > x) = e^(-λ.x)

λ = 1, x = ?,

0.14 = e⁻ˣ

e⁻ˣ = 0.14

In e⁻ˣ = In 0.14 = -1.966

-x = -1.966

x = 1.966 hours

Hope this Helps!!!

4 0
2 years ago
An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First r
tamaranim1 [39]

Answer:

i think its a

Step-by-step explanation:

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2 years ago
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harkovskaia [24]
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Division of two quantities is expressed as the ____ of those two quantities.
andreev551 [17]


Division of two quantities is expressed as the  quotient of those two quantities.

The word quotient is derived from the Latin language. It is from the Latin word "quotiens" which means "how many times." A quotient  is the answer to a divisional problem. A divisional problem describes how many times a number will go into another. The first time that this word was known to have been used in mathematics was around 1400 - 1500 AD in England.

There are two different ways to find the quotient of two numbers.  One of them is through Fractions. The quotient of a fraction is the number obtained when the fraction is simplified. The other way to find a quotient is  by employing the long division method where the quotient  value is positioned above the divisor and dividend.
 


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The table below gives the cost per person to rent a fishing charter boat. Find the rate of change given that it is constant. Als
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Answer:

D.

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