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2 years ago

It takes 10 pounds of potatoes to make 15 servings of mashed potatoes. At this rate:

Mathematics

1 answer:

UkoKoshka [18]2 years ago

6 0

Answer:

1. 15 1/2

Step-by-step explanation:

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The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.

5 0

3 years ago

Taylor tried to solve an equation step by step:

Leya [2.2K]

His mistake was on step 1

3 0

2 years ago

Read 2 more answers

a roofer charges $60 for the first hour of service call and $25 per hour for each additional hour. The roofer also charges a fee

Temka [501]

Answer:

Step-by-step explanation:

let y be the total charges

given that the hour is h

and the cost for raw material is r

therefore

1. The first hour of service call = $60

2. For each additional hour= 25h

3. 30% over the cost of the materials.= 30/100*r=0.3r

total charges

y=60+25h+0.3r

therefore the expression is

y=60+25h+0.3r

4 0

2 years ago

Find the inverse of the relation?

melisa1 [442]

The inverse....switch ur x's and y's...

inverse :
domain is { -2,2,4,4,5} ...notice u have 2 "x" values that are 4
range is {-3,0,2,3,4}

The relation DOES NOT represent a function. A function will not have any repeating x values. It can have repeating y values, just not the x ones.

Now the relation would be a function...but the inverse is not

4 0

2 years ago

If 3 notebooks cost $3.51, how much would 7 notebooks cost?

Ket [755]

Well, you would first divide 3÷ 3.15 Do you know what that would give you?

8 0

3 years ago

Read 2 more answers