19. Messages arrive at a message center according to a Poisson process of rate λ. Every hour the messages that have arrived during the previous hour are forwarded to their destination. Find the mean

Answer:

do u mind helping me for school ?

if so check my latest questions pls ty

Step-by-step explanation:

Answer:

Answers are in bold

Data set A:

Mean: 7

Median: 7

Mode: 7

Range: 11

Data set B:

Mean: 78

Median: 95

Mode: No mode or all the numbers (85, 105, 95, 90, 115)

Range: 30

Data set C:

Mean: 13

Median: 13

Mode: 11 and 16

Range: 7

Step-by-step explanation:

You're welcome.

Answer:

the last answer is correct

Step-by-step explanation:

(a, b) to (b, a)

Answer:

20

Step-by-step explanation:

80% of 25 is 20, even if you put it into a calculator

Answer:

$96.

Step-by-step explanation:

5/6  costs 80

Multiply both parts by 6/5:

5/6 * 6/5 ( = 1 ) costs 80 * 6/5

= 16 * 6

= $96.

Answer:

60x + 35; x = 4.5 hours

(x is not actually equal to 4.5, it is equal to 4.67)

Step-by-step explanation:

The description says that the plumber charges a one time fee of 35 dollars to come to someones house, and then 60 dollars an hour. The total pay is 305 dollars. x will be the number of hours that the plumber works.

60x + 35 = 305

Subtract 35 from both sides: 60x = 280

Divide by 60: x = 280/60

Simplify: x=14/3

Fraction to decimal: x=4.67

Answer: C (60x + 35 = 305; x = 4.5 hours)

It's right trust me! Wish you luck!

Brainliest?

Answer:

43.5

Step-by-step explanation:

x/2+5y-1.5

10/2+5×8-1.5

5+40-1.5

5+38.5

=43.5

Answer:

43.5

Step-by-step explanation:

x ÷ 2 + 5y - 1.5

Start by replacing the x's and y's

10 ÷ 2 + (5 · 8) - 1.5

Start with parenthesis

10 ÷ 2 + 40 - 1.5

Then do the division

5 + 40 - 1.5

Then go left to right

45 - 1.5

43.5

I hope this helps!!!

The number of boxes that need to be purchased for the art project can be determined by the expression ceil((x × 5) / 24). This can be answered by the concept of ceiling function.

To determine the number of boxes of crayons needed for the art project, we can use the ceiling function to round up the division of the total number of crayons required by the number of crayons in each box.

Let's break down the problem step-by-step:

Each child in the first grade will be given five crayons for the art project.

We need to determine the number of boxes of crayons needed to provide enough crayons for all the children.

Crayons come in boxes of 24.

To calculate the number of boxes needed, we can divide the total number of crayons required by the number of crayons in each box. The total number of crayons required can be obtained by multiplying the number of children (x) by the number of crayons given to each child (5).

Total number of crayons required = x × 5

Now, to find the number of boxes needed, we divide the total number of crayons required by the number of crayons in each box (24), and round up the result using the ceiling function. This is because we need to ensure that we have enough whole boxes to provide the required number of crayons.

Number of boxes needed = ceil((x × 5) / 24)

Therefore, the number of boxes that need to be purchased for the art project can be determined by the expression ceil((x × 5) / 24).

To learn more about ceiling function here:

brainly.com/question/28998068#

#SPJ11

Answer:

hi there the correct answer is b

Step-by-step explanation:

Since none of the 13 classmates had been given math homework between the original survey and Kelly's second survey, the sum of the values in the second data set is the same as the sum of the values in the original data set. Therefore, the change in the means can be determined without calculating the mean of either data set by considering the number of data points in each set.

Since both data sets have the same number of data points, the change in the means will be zero. This is because the mean is calculated by dividing the sum of the values by the number of data points, and since the sum of the values is the same in both data sets, the means will also be the same.

In other words, if the mean of the first data set is x, then the sum of the values in the first data set is 13x (since there are 13 classmates), and the sum of the values in the second data set is also 13x (since none of the values have changed). Therefore, the mean of the second data set will also be x, and the change in the means will be zero.

The expected number of heads when all the 5 coins are tossed at the same time is 1.5, under the condition that the probabilities of getting heads for each coin are 0.1, 0.2,0.3, 0.4 and 0.5.

Then the expected value of the number of heads can be evaluated by multiplying each probability with its  corresponding number of heads and suming them.
For the given case, we possess five coins with different probabilities of getting heads when flipped.
Therefore, getting heads for each coin in context of probability are 0.1, 0.2, 0.3, 0.4 and 0.5

Now, the expected value of the number of heads is
Expected value = \((0.1 * 1) + (0.2 * 1) + (0.3 * 1) + (0.4 * 1) + (0.5 * 1)\)
= 0.1 + 0.2 + 0.3 + 0.4 + 0.5
=1.5
The expected number of heads when all the 5 coins are tossed at the same time is 1.5, under the condition that the probabilities of getting heads for each coin are 0.1, 0.2,0.3, 0.4 and 0.5.

To learn more about probability
https://brainly.com/question/13604758
#SPJ4

Answer:

3:2 , 3/2,  3 to 2

Step-by-step explanation:

The best one is 3:2 cause it is the most used way to write a ratio. 3:2 also means 3 divided by 2 or 3 out of 2 so that's why you would use the other 2.

Comparing experiment data to public opinion polls helps evaluate media accuracy, detect biases, and understand the influence on public opinion, while describing data trends and comparing theoretical and empirical probabilities aids in making informed decisions.

In conclusion, comparing the data collected from experiments to public opinion polls allows for the assessment of media accuracy and biases, while analyzing data trends and comparing theoretical and empirical probabilities provides valuable insights for decision-making.

For more questions on public opinion polls:

https://brainly.com/question/1086518

#SPJ8

Answer:2x²+56

Step-by-step explanation:

2x+1-9·X²-7

2x²+56

Hope this Helps!!!!

To calculate the mean relative fitness of the parental population, we need to use the relative fitness values and genotype frequencies. The formula for calculating the mean relative fitness is given as varpi = (p^2)(ωSB) + (2pq)(ωSb) + (q^2)(ωbb), where p and q represent the frequencies of the two alleles, and ωSB, ωSb, and ωbb represent the relative fitness values for each genotype.

To calculate the mean relative fitness, we first need to calculate the genotype frequencies. Let's assume p represents the frequency of the dominant allele (S) and q represents the frequency of the recessive allele (b).

Using the genotype frequencies, we can substitute the values into the formula:

varpi = (p^2)(ωSB) + (2pq)(ωSb) + (q^2)(ωbb)

Substitute the relative fitness values for each genotype. Let's assume ωSB, ωSb, and ωbb are known values:

varpi = (p^2)(ωSB) + (2pq)(ωSb) + (q^2)(ωbb)

Now, calculate the values for p^2, 2pq, and q^2 based on the genotype frequencies you have obtained. Substitute these values into the equation:

varpi = (p^2)(ωSB) + (2pq)(ωSb) + (q^2)(ωbb)

Finally, evaluate the expression using the calculated values for p^2, 2pq, and q^2, as well as the known relative fitness values ωSB, ωSb, and ωbb. Round the result to three decimal places to obtain the mean relative fitness of the parental population.

Note: The specific values for p^2, 2pq, q^2, and the relative fitness values ωSB, ωSb, and ωbb should be provided in order to perform the calculations and obtain the final result for the mean relative fitness.

Learn more about mean here:

https://brainly.com/question/31101410

#SPJ11

Answer:

Step-by-step explanation:

The linear equation that describes the relationship between the total monthly cost Y and number of class hours in each month X is the same as the equation of line which is

\(Y= mx+c\\\\ Y= 2X+25\)

where Y= the dependent variable, monthly cost

          x= the independent variable, the number of hours for aerobic classes

          c= the intercept, $25

Answer:

The probability that it will not choose one of the weekdays is 0.29.

Tell me if I made any mistakes in my answer and I will correct them :)

Step-by-step explanation:

1) Add the probabilities of all the weekdays together.

0.16+0.04+0.25+0.19+0.07=0.71

2) Subtract 0.71 from 1.  

1-0.71=0.29

The probability that it will not choose one of the weekdays is 0.29.

Hope this helps and good luck with your homework!

Answer:

9

Step-by-step explanation:

X-3=6

X=6+3

X=9

(Minus becomes plus when we move it to the other side of the equal sign

And plus becomes minus )

Brainliest please!

Hope this helps!

Be my friend!

Answer:

x=9

Step-by-step explanation:

x-3=6

Add 3 to both sides

x=9

Answer:

Car A was 20 miles east of car B.

Step-by-step explanation:

just did it:)

In business calculus, the term "functions" refers to mathematical relationships that associate inputs (typically denoted as x) with corresponding outputs (typically denoted as y). Functions can represent various aspects of business operations, such as revenue, cost, profit, demand, and supply.

The concept of "limits" in calculus deals with the behavior of a function as the input approaches a particular value. It determines the value that the function approaches or tends to as the input gets arbitrarily close to a specified value. Limits are essential for analyzing the behavior of functions near certain points, understanding rates of change, and evaluating derivatives and integrals.

"Continuity" of a function refers to its smooth and unbroken nature, without any abrupt jumps, holes, or vertical asymptotes. A function is continuous if its graph can be drawn without lifting the pen from the paper. Continuity ensures that small changes in the input correspond to small changes in the output, which is crucial for reliable analysis and prediction.

For example, consider the function f(x) = 2x + 1. This linear function represents a business scenario where x represents the number of units sold, and f(x) represents the total revenue generated. The limit of f(x) as x approaches 2 is 5, indicating that as the number of units sold approaches 2, the total revenue approaches $5. Since f(x) = 2x + 1 is a linear function, it is continuous across its entire domain.

Learn more about functions, limits, and continuity in calculus here:

brainly.com/question/29297331

#SPJ11

Answer:

-10, -1, 5

Step-by-step explanation:

The zeroes of the function are -

x = -10, 5, -1

We have the following function -

f(x) = (x + 10)(x − 5)(x + 1)

We have to determine its zeroes.

In order to find the zeroes of the function, equate f(x) = 0.

(x + a)(x + b) = 0

(x + a) = 0     or     (x + b) = 0

x = - a     or      x = -b

Zeroes = -a , -b

According to question, we have -

f(x) = (x + 10)(x − 5)(x + 1)

Equate f(x) = 0

(x + 10)(x - 5)(x + 1) = 0

(x + 10) = 0       or      (x - 5) = 0      or       (x + 1) = 0

x = -10        x = 5      x = -1

Hence, the zeroes of the function are -

x = -10, 5, -1

To solve more questions on Zeroes of function, visit the link below -

https://brainly.com/question/12492261

#SPJ6

Answer:

The 6 pack

Step-by-step explanation:

I say this mainly because if you buy two 6 packs of soda that will add up to 4 dollars and 8 cents which is cheaper than the 12 pack.

The two lines are equidistance from x-axis and have the same equation, which means they are coincident.

A straight line is a geοmetrical οbject that extends infinitely in bοth directiοns and is characterized by its directiοn and slοpe. It is the shοrtest distance between twο pοints, and can be defined as a set οf pοints that are equidistant frοm each οther.

Since bοth lines have the same y-cοοrdinate fοr all their pοints, they are bοth hοrizοntal lines. Line r is the hοrizοntal line passing thrοugh pοints A and B with y-cοοrdinate 3, while line s is the hοrizοntal line passing thrοugh pοints C and D with y-cοοrdinate 3.

After drawing the lines on the graph we can see that they are equidistance from x-axis and length are same as well which means they have same linear equation.

We have that x1 = 5, y1 = 3, x2 = 7, and y2 = 3.

But since the y-cοοrdinates οf the pοints are equal, we can find the slοpe easier than just by using the abοve fοrmula.

If y-cοοrdinates are equal and x-cοοrdinates are nοt equal (as in οur case), the slοpe equals 0 (the line is hοrizοntal).

This means that the equatiοn οf the line dοesn't cοntain x.

Thus, the equatiοn οf the line is y=3.

We have that x₁ = 2, y₁ = 3, x₂ = 4, and y₂ = 3.

But since the y-cοοrdinates οf the pοints are equal, we can find the slοpe easier than just by using the abοve fοrmula.

Slope m = y₂ - y₁/x₂ - x₁

Slope m = 0/2

Slope m = 0

If y-cοοrdinates are equal and x-cοοrdinates are nοt equal (as in οur case), the slοpe equals 0 (the line is hοrizοntal).

This means that the equatiοn οf the line dοesn't cοntain x.

Use point slope form:

y - y₂ = 0(x - x₂)

y - 3 = 0

y = 3

Also

y - y₁ = 0(x - x₁)

y - 3 = 0

y = 3

Thus, the equatiοn οf the line is y = 3.

y = 0 = y = 0

Therefore, the two lines are equidistance from x-axis and have the same equation, which means they are coincident.

To learn more about Straight line from given link.

https://brainly.com/question/30732180

#SPJ1

Hello !

Answer:

\(\boxed{\sf y=9x-28}\)

Step-by-step explanation:

We are looking for the equation of the line that passes through the two following points :

We know that the slope-intercept form of a line is of the form \(\sf y=mx+b\).

We need to find the coefficients m and b.

Let's replace x and y with 4 and 8, and then with 2 and -10.

\(\sf \begin{cases}\sf8=4m+b \\\sf -10=2m+b\end{cases}\)

We obtain a system of two equations to solve.

Let's subtract the second line from the first one :

\(\sf 8-(-10)=4m+b-(2m+b)\\\iff 18=4m+b-2m-b\\\iff 18=2m\\\iff \boxed{\sf m= \frac{18}{2}=9 }\)

Let's substitute 9 for m in the second equation :

\(\sf -10=2\times 9+b\\\iff b+18=-10\\\iff b=-10-18\\\iff \boxed{\sf b=-28}\)

The equation of the line is : \(\boxed{\sf y=9x-28}\)

Have a nice day ;)

To determine if two functions are inverses, we have to compose the functions into each other and get a value of x.

f(g(x)) = \(3(\sqrt{\frac{x - 12}{3} })^{2} - 12\)

The square root and the square cancel each other out.

f(g(x)) = \(3(\frac{x - 12}{3}) - 12\)

The 3's cancel each other out.

f(g(x)) = x - 12 - 12 = x - 24

since f(g(x)) = x - 24, these two functions are not inverses of each other.