The number of calls coming in to an office follows a Poisson distribution with mean 5 calls per hour. What is the probability that there will be exactly 7 calls within the next three hours?
a .0.010
b. 0.104
c. 0.090
d.0.071

Answer:

148.49

Step-by-step explanation:

105 x √2 = 148.49

have a great day

b)The cost per file uploaded.

According to the given data we have the equation of line as y=(10/9)*x +5 Here the relation between the x and y axis is represented as the amount of cost customers spent on file sharing to the amount they uploaded. The x-axis shows the monthly fee spent by consumers whereas the y-axis shows the amount of files uploaded in MB.

In the graph, we can see that the linear line cuts the y-axis and makes a slope. The y-axis truly represents the amount or cost of the file uploaded by the user. Overall, the graph shows the relation between the cost spent on file sharing with respect to the amount uploaded in mb.

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The image of the complete question is given in the attachment.

Answer:

olivia gave away 90% of her stamp collection

Step-by-step explanation:

The fraction of stamps given by Olivia can be determine by adding the fraction given to her brother and the fraction given to her sister.

The fraction of her stamp collection is given \(\frac{9}{10}\).

Given:

The fraction given to her brother is \(\frac{1}{10}\).

The fraction given to her sister is \(\frac{4}{5}\).

Let the \(x\) is the fraction total fraction given by Olivia.

Calculate the total fraction given by Olivia.

\(x=\frac{1}{10}+\frac{4}{5}\\x=\frac{45}{50}\\x=\frac{9}{10}\)

Convert the above fraction in to percentage.

\(\begin{aligned}x=\frac{9}{10}\times 100\\x=90\% \\\end\)

Thus, the fraction of her stamp collection is given \(\frac{9}{10}\)  or \(90\%\).

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Yes, snow and "cold" weather are independent events. The probability of snow and a "cold" day is 15.

Based on the given probabilities, we can determine if snow and "cold" weather are independent events. Independent events occur when the probability of both events happening together is equal to the product of their individual probabilities.

P(snow) = 0.30

P(cold) = 0.50

P(snow and cold) = 0.15

If snow and cold are independent, then P(snow and cold) = P(snow) * P(cold).

0.15 = 0.30 * 0.50

0.15 = 0.15

Since both sides of the equation are equal, snow and "cold" weather are independent events.

Your answer: b. yes

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This theorem helps us identify unknown segment lengths while other segment lengths are known, which is helpful when trying to solve various problems involving intersecting chords inside of a circle.

Statement 1: The chords AB and CD cross at E in the circle O.

Reason 1 is obvious.

Draw in the chords CB and AD in statement two.

Second, a segment is determined by two points. To finish the figure, we draw chords CB and AD.

AED and CEB meet at E, according to statement 3.

Three: Lines that intersect create vertical angles.

Triangle CEA and Triangle AED are congruent, according to Statement 4.

Angle-Angle (AA) similarity is the fourth factor.

Conclusion 5: ED/EB = CE/AE.

Reason number five: Similar triangles' corresponding sides are proportionate.

Sixth statement: CE + ED = AE * EB.

Sixth reason: The equality's multiplication property.

By carrying out the aforementioned processes, we have demonstrated that AE * EB = CE * ED, which is the theorem saying that when two chords meet in a circle, the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord.

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the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

A car travels a distance = 100 feet .

1 feet = 0.000189 miles

100 feet = 0.0189 miles

Time taken by the car = 2.8 seconds.

1 second = 0.000277 hour

2.8 seconds = 0.00077 h0urs

distance = speed x time

speed  = distance / time

speed = 0.0189 miles/ 0.00077 h0urs

speed = 24.54 miles / hour

then, the velocity of car is 24.54 miles / hour.

the velocity of the car travels a distance of 100 feet in miles per hour is 24.54 miles / hour.

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The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

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Answer:

h(x) =1

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

plato

The value of x for the equation is,

⇒ x = 3/4

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ 1.5 (4)²ˣ = 12

Now, We can solve for x as;

⇒ 1.5 (4)²ˣ = 12

Divide by 1.5;

⇒ (4)²ˣ = 12/1.5

⇒ (4)²ˣ = 8

⇒ (2)⁴ˣ = 2³

By comparing we get;

⇒ 4x = 3

⇒ x = 3/4

Thus, The value of x for the equation is,

⇒ x = 3/4

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There are "P(20, 10) - P(15, 10)" options (ways) to distribute the coupons so that at least one woman receives a coupon.

What do you mean by permutation?

A permutation of a set in mathematics is, broadly speaking, the rearrangement of its elements if the set already has an ordered structure into a sequence or linear order. The act or procedure of altering the linear order of an ordered set is referred to as a "permutation."

There are P(20, 10) ways to distribute the coupons if they are different, with the only restriction being that no more than one coupon can be given to a shopper. To ensure that all of the coupons go to the guys, there are P(15, 10) ways to distribute them. In order to ensure that at least one coupon is given to a woman, there are P(20, 10) - P(15, 10) options to distribute the coupons.

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Complete Question

10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15 of the shoppers are men.

If the coupons are different, how many ways are there to distribute the coupons so that at least one woman receives a coupon?

Answer

K= ºC+273.15

Step-by-step explanation:

Learned it from my science teacher.

By unit conversion method, One unit of kelvin (K)= Celsius(ºC)+273.15.

What is unit conversion?

A unit conversion is used to express the same property in a different unit of measurement. For instance, you could use minutes instead of hours to represent time or feet instead of miles to indicate distance. It commonly occurs when measurements are provided in one system of units, such as feet, but are required in a different system, such as chains.

Now,

using unit conversion for kelvin to Celsius

we convert kelvin into Celsius using the formula

kelvin (K)= Celsius(ºC)+273.15.

Therefore,

            when in Celsius value is 1              

            kelvin=1+273.15

             kelvin=274.15

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Answer:

7664025600

Step-by-step explanation:

I basically just multiplied first then added the sums. Also you can use a calculator to make sure ur answer is right.

Answer:

answered

Step-by-step explanation:

Answer:

ummmmmm

Step-by-step explanation:

what is the question? Kinda confused

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Use parentheses that may or may not contain parameters directly after the function name to invoke the function.

As part of GAIA, the AI created for Project Zero Dawn in reaction to the Faro Plague, the subordinate functions are a part. The Faro Swarm's deactivation and the planet's terraforming are all objectives of Project Zero Dawn, and they are all accomplished through their extensive suite of subfunctions, each of which is dedicated to a particular purpose.

There are nine supporting roles.

A top engineer on the Zero Dawn project known as an Alpha created each of the nine subordinate functions. They were supported by a project development team made up of professionals in their industry who were well-known throughout the world.

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Answer:

im pretty sure its D. use assets

Step-by-step explanation:

hope this helps:)

Answer:

The second one

Step-by-step explanation:

The first graphic would be correct if the connector was "AND" instead of "OR"

"AND" --> Both conditions must ALWAYS be fulfilled

"OR" ---> It's only necessary that one of the conditions is fulfilled

Answer:

(x,y)=(-28/11,16/11)

Step-by-step explanation:

hope this helps!

Answer:

x=0, y=2. (0, 2).

Step-by-step explanation:

y=12x+2

2y=x+4

------------

2(12x+2)=x+4

24x+4=x+4

24x-x=4-4

23x=0

x=0/23

x=0

y=12(0)+2

y=0+2

y=2

Answer:

24.15 is 7/20 or 35% of 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

PLACES HUNDREDS TENS ONES

Digits 8 1 3

Multipliers 100 10 1

Place Values 800 10 3

Answer:

m-6=x

Step-by-step explanation:

a. The new equilibrium income, Y₂, given the increase in government purchases, can be determined by calculating the change in autonomous expenditure (AG) and multiplying it by the multiplier.

b. The graph will show the initial aggregate expenditure (AE₁) and the new aggregate expenditure (AE₂) after the increase in government purchases. The difference between the change in government purchases (AG) and the change in equilibrium income (AY) can be visually represented by the vertical distance between the two equilibrium levels on the graph.

a. To determine the new equilibrium income, Y₂, we need to calculate the change in autonomous expenditure (AG) and multiply it by the multiplier. In this case, the change in government purchases is 2,000 pesos. Since the slope of the planned expenditure function is 2/8, the multiplier is the reciprocal of the slope, which is 8/2 = 4.

Therefore, the change in equilibrium income (AY) is equal to AG multiplied by the multiplier:

AY = AG * multiplier = 2,000 * 4 = 8,000 pesos.

The new equilibrium income, Y₂, is equal to the initial equilibrium income, Y₁, plus the change in equilibrium income (AY):

Y₂ = Y₁ + AY = 800,000,000 + 8,000 = 800,008,000 pesos.

b. On the graph, the horizontal axis represents the level of income (Y), and the vertical axis represents aggregate expenditure (AE). The initial equilibrium level of income, Y₁, is where AE₁ intersects the 45-degree line, which represents the level of income equal to aggregate expenditure. After the increase in government purchases, the new equilibrium level of income, Y₂, is where the new AE₂ curve intersects the 45-degree line.

The vertical distance between the two equilibrium levels, Y₂ and Y₁, represents the change in equilibrium income (AY). The change in government purchases (AG) is represented by a shift of the AE curve. The graph visually demonstrates the difference between the change in government purchases (AG) and the resulting change in equilibrium income (AY).

Using the Keynesian cross model, we have determined the new equilibrium income, Y₂, by calculating the change in autonomous expenditure (AG) and multiplying it by the multiplier. The difference between the change in government purchases (AG) and the change in equilibrium income (AY) can be shown and explained through a graph, illustrating the shift in aggregate expenditure and the vertical distance between the initial and new equilibrium levels.

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We reject the null hypothesis as the sample mean is significantly different from the hypothesized population mean.

To test the null hypothesis that American League infielders average the same as all other major league players, we compare the sample mean hitting an average of 0.250 with the hypothesized population mean of 0.324.

Using a significance level of 0.05, we conduct a one-sample z-test. The formula for the z-test statistic is given by:

z = (sample mean - population mean) / (standard deviation/sqrt (sample size))

By substituting the values into the formula, we calculate the z-test statistic as (0.250 - 0.324) / (0.024 / sqrt(50)).

Next, we determine the critical z-value corresponding to the chosen significance level of 0.05.

If the calculated z-test statistic falls in the rejection region (z < -1.96 or z > 1.96), we reject the null hypothesis.

Comparing the calculated z-test statistic with the critical z-value, we find that it falls in the rejection region. Therefore, we reject the null hypothesis and conclude that the hitting average of American League infielders is significantly different from the average of all other major league players.

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The number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is A. 640,488.

It should be noted that a place value is the value that is represented based on the position of a number.

In this case, the digit of 6 in 62,045 is 60000. From the options, the digit of 6 in 640488 is 600000. This is 10 times the value.

Therefore, the number where the digit 6 have a value that is 10 times as great as the digit 6 in the number 62,045 is 640,488. The correct option is A.

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Answer:

problem 2

Step-by-step explanation:

The feeding time constraint for cats can be written symbolically as:

12 minutes/day * number of cats <= 8 hours/day

The feeding time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

The pampering time constraint for cats can be written symbolically as:

16 minutes/day * number of cats <= 8 hours/day

The pampering time constraint for dogs can be written symbolically as:

20 minutes/day * number of dogs <= 8 hours/day

Step-by-step explanation:

it is given r=s

then, t =100.

2s+t=180°

2s=180-100

2s=80°

s=40° = r

hope this helps you.

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation: