Please help me I need help

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

To know more about probability,

https://brainly.com/question/28005248

#SPJ11

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

for such more question on least squares

https://brainly.com/question/3617398

#SPJ8

Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

The confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88

A confidence interval in frequentist statistics is a range of estimates for an unknown parameter. A confidence interval is calculated at a specified degree of confidence; the most popular level is 95%, but other levels, such as 90% or 99%, are occasionally used.

Therefore, the correct choice is option B which states that From 0.99 to 0.90 the confidence interval size became smaller

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

It can be calculated as:

df=n-1=19

t critical value 0.12 (two tail) = 1.62797

M = 51.5

sM = √(6.842 / 20) = 1.53

μ = M ± Z (sM)

μ = 51.5 ± 1.62797 * 1.53

μ = 51.5 ± 2.49

Therefore, CI { 49.01 and 53.99 }

Therefore, the confidence interval size shrank from 0.99 to 0.90, is the right answer. Confidence interval: 0.88

To know more about Confidence Interval, refer to this link:

brainly.com/question/17212516

#SPJ1

Answer:

68 got it right on the test!!!

Step-by-step explanation:

To determine the number of smaller boxes that would contain the same amount of cereal as a larger box, we set the expressions representing the cereal content equal to each other. Solving the equation, we find that 15 smaller boxes are required to match the cereal quantity in the larger box.

To find the number of smaller boxes that equal the same amount of cereal in a larger box, we need to equate the two expressions and solve for n.

Setting the expressions equal to each other:

10 + 6.3n = 7 + 6.5n

Simplifying the equation:

6.3n - 6.5n = 7 - 10

-0.2n = -3

Dividing both sides by -0.2:

n = -3 / -0.2

n = 15

Therefore, 15 smaller boxes would equal the same amount of cereal as the larger box.

The problem states that the expressions 10 + 6.3n and 7 + 6.5n represent the amount of cereal in the new larger box. The variable n represents the number of smaller boxes.

To find how many smaller boxes are equivalent to the larger box, we need to set the two expressions equal to each other and solve for n. This equation represents the balance between the amount of cereal in the larger box and the combined amount of cereal in the smaller boxes.

By simplifying the equation and solving for n, we find that 15 smaller boxes are needed to equal the same amount of cereal as the larger box.

This means that if the cereal manufacturer wants to package the same amount of cereal as the larger box, they would need to use 15 smaller boxes instead. This calculation helps the manufacturer determine the number of smaller boxes needed to maintain the same quantity of cereal while changing the box size.

Learn more about expressions here:

brainly.com/question/28170201

#SPJ11

Time taken by Miguel car to drive is, 1.6 hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.

We know that;

⇒ Speed = Distance / Time

⇒ Time = Distance / Speed

Here, Speed = 53 miles per hour

Distance = 84.8 miles

Hence, We get;

⇒ Time = 84.8 / 53

⇒ Time = 1.6 hour

Thus, Time taken by Miguel car to drive is, 1.6 hour.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

The value of the probability of choosing a green lollipop and a purple lollipop is, 8 / 45

We have to given that;

One bag contains 3 red lollipops and 2 green lollipops.

And, The other bag contains four purple lollipops and five blue lollipops.

Hence, The probability of choosing a green lollipop is,

P₁ = 2 / 5

And, The probability of choosing a purple lollipop is,

P₂ = 4 / 9

Thus, The value of the probability of choosing a green lollipop and a purple lollipop is,

P = P₁ ×  P₂

P = 2/5 × 4/9

P = 8/45

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Step-by-step explanation:

Domain = x

Range = y

Domain: {2,4,5,9}

Range: {-2,0,2,4}

Function: No

Answer:

domain = { 2, 4, 5, 9 }

range = { -2, 0, 2, 4 }

function = one-to-many

Answer:

Step-by-step explanation:

Answer:

1. Mean:

6

2. Median:

7

3. mode:

8

range:

6

Explanation:

Mean:

To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4

The number of numbers there is 5 so I added these numbers and divide them by 5.

Median:

To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5

The middle number is 3 as u can see there

Mode:

In the mode, you find the number that appears the most.

for eg: 1,3,3,4,5

The number appearing here the most is the 3

Range:

you minus the highest number from the lowest number

eg: 1,2,3,4,5

5-1 is 4 so the answer for the range is 4

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

To learn more about   conical surface click here: brainly.com/question/29129362

#SPJ11

The hexadecimal representation of the binary number `0011101011110111101000001001110` is `3AF7A09E`.

Performing binary addition:

```

 1101

+  1011

-------

10100

```

Subtracting binary numbers using two's complement:

1. Rewrite the minuend (the number being subtracted from) as is.

2. Take the two's complement of the subtrahend (the number being subtracted).

3. Add the two numbers using binary addition.

Let's assume we want to subtract `1011` from `1101`:

1. Minuend: `1101`

2. Subtrahend: `1011`

  - Two's complement of `1011`: `0101`

3. Add the numbers using binary addition:

```

  1101

+ 0101

-------

 10010

```

So, subtracting `1011` from `1101` gives us `10010` in binary.

Converting binary digits into hexadecimal digits:

The given binary number is `0011101011110111101000001001110`.

Splitting the binary number into groups of 4 bits each:

```

0011 1010 1111 0111 1010 0000 1001 1110

```

Converting each group of 4 bits into hexadecimal:

```

3    A    F    7    A    0    9    E

```

Therefore, the hexadecimal representation of the binary number `0011101011110111101000001001110` is `3AF7A09E`.

Learn more about hexadecimal here

https://brainly.com/question/9543292

#SPJ11

Answer:

(0, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y + 5x = 1

5y - x = 5

Step 2: Rewrite Systems

y + 5x = 1

Step 3: Redefine Systems

y = 1 - 5x

5y - x = 5

Step 4: Solve for x

Substitution

Step 5: Solve for y

Answer:A function f(x) is even if f(-x) = f(x). The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin.

Step-by-step explanation:

The function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).This has been obtained using even-odd functions.

What are even-odd functions?

When the output value of a real-valued function, f(x), is equal to f(x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

We have an even function if we have an expression that is equivalent to f(x) and we have an odd function if we obtain an expression that is equivalent to -f(x).

If we take a function and substitute x for -x, simplify the result, and then compare it to what you started with, you can "determine algebraically" if the function is even, odd, or neither.

The function is even if you come out with exactly what you started with (i.e., if f (-x) = f (x), in which case all of the signs are the same. If you come out with exactly the opposite of what you started with (i.e., if f(-x) = -f (x), in which case all of the signs are switched), it is an odd function.

Hence, the function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).

Learn more about even-odd functions from the given link

https://brainly.com/question/8493048

#SPJ4

Answer:

simplified is -2

Step-by-step explanation:

......

Answer:

First one is 2^5 = 3x+5

Second is x = 2

Third one is x^3 = 64

last one is x = 4

Given:

Perimeter of rectangle is 78 feet

Let the width of the rectangle be w

Then the length of the rectangle be 2w

Now, the perimeter is given by the formula:

Substitute l= 2w and b=w

Given perimeter = 78 feet so,

Hence, the width of rectangle is 13 feet

The length of rectangle is 2w= 2(13)=26 feet.

Answer:

40 minutes: 28.75 miles

1 hour: 43.13 miles

Step-by-step explanation:

1. 23/32 = 0.71875 miles per minute

2. 0.71875 x 40 = 28.75

3. 0.71875 x 60 = 43.13

Answer:

40 square feet

Step-by-step explanation:

I gotcha bro

4 x 12 = 48

48 - 3 x 2 - 1 x 2 = 48 - 6 - 2 = 40

Answer:

none.

Step-by-step explanation:

if you examine the dots and solve, they are not equivalent

also it doesn't pass through the orgin

Answer:

St. Augustine

Step-by-step explanation:

The measure of arc BC is 40°.

Given that a rectangle ABCD is inscribed in a circle, the measure of arc AB is 140°,

We need to determine the measure of arc BC,

Since ABCD is a rectangle, angle DAB is a right angle (90°).

Also, the sides of the rectangle here are acting as the chords of the circle,

So, Chord AB = Chord DC

⇒ arc AB = arc DC = 140°

Also, according to the inscribed angle theorem,

The measure of the inscribed angle is half the measure of the central angle.

Therefore,

2 ∠DAB = arc BCD

arc BCD = 2 × 90°

arc BCD = 180°

arc BCD = arc BC + arc DC

180° = arc BC + 140°

arc BC = 40°

Hence the measure of arc BC is 40°.

Learn more about inscribed angle theorem, click;

https://brainly.com/question/5436956

#SPJ1

Algebraic expressions are mathematical statements made up of variables, constants, and operations, which can be simplified to -17x²+4x+5.

Given expression: -10x²+4x-7x²+5.A mathematical statement made up of variables, constants, and mathematical operations is known as an algebraic expression. It stands for a mixture of numbers and letters, where the letters are called variables and they can have various values. In algebra, relationships are represented and calculations are done using algebraic expressions.

The given expression can be simplified as:

Adding the like terms together,

we get,-10x²-7x²+4x+5

= -17x²+4x+5

Thus, the simplified expression is -17x²+4x+5.

To know more about Algebraic expressions Visit:

https://brainly.com/question/953809

#SPJ11

Answer:

C) 17.1 square units

Step-by-step explanation:

Use Heron's formula to calculate the area of the triangle:

\(Area = \sqrt{s(s-a)(s-b)(s-c)}\)  where  \(s=\frac{a+b+c}{2}\) which represents the semi-perimeter of the triangle:

\(s=\frac{9.9+6.1+6}{2}=11\)

Therefore:

\(Area = \sqrt{11(11-9.9)(11-6.1)(11-6)}\\\)

\(Area = \sqrt{11(1.1)(4.9)(5)}\\\)

\(Area = \sqrt{296.45}\\\)

\(Area = 17.2\)

Therefore, the closest answer choice is C) 17.1 square units

Using proportions, it is found that one mechanic could assemble 5 bicycles in 8 hours, and it would take 40 hours to assemble 25 bicycles.

The equation is: b = 0.625t.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, two mechanics can assemble 10 bicycles in 8 hours. How many bicycles could one mechanic assemble in 8 hours? Hence the rule of three is given by:

2 mechanics - 10 bicycles.

1 mechanic - x bicycle.

Applying cross multiplication:

2x = 10 -> x = 5 bicycles in 8 hours.

Hence the equation for the number of bicycles in t hours of a single mechanic is given by:

b = 5/8t = 0.625t.

For 25 bicycles, we have that:

25 = 0.625t.

t = 25/0.625.

t = 40 hours.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

There are 7 months in the year that have thirty-one days.

These months are January, March, May, July, August, October, and December.

There are seven months in the Gregorian calendar that have thirty-one days: January, March, May, July, August, October, and December.

This pattern of months with 31 days followed by months with fewer days repeats throughout the year.

This pattern was established by the Roman calendar, which had ten months totaling 304 days in a year.

The months of January and February were later added by King Numa Pompilius to align the calendar with the lunar year.

The months of January and February initially had 29 and 28 days respectively, but in 45 BC, Julius Caesar added one day to January and one day to August, which was originally a 30-day month, to make them both 31-day months.

In the Gregorian calendar, which is the most widely used calendar in the world, January, March, May, July, August, October, and December all have 31 days.

The remaining five months have fewer days, with February having 28 days most of the time, and 29 days in a leap year.

Knowing the number of days in each month is important for various reasons, such as planning events, scheduling appointments, and calculating pay periods.

There are several mnemonics used to remember the number of days in each month, such as "30 days hath September, April, June, and November, all the rest have 31, except February, with 28 days clear, and 29 in each leap year."

For similar question on calendar.

https://brainly.com/question/30081526

#SPJ11

Answer:

2√2

Step-by-step explanation:

If you mean 3√8, this is how you would simplify:

Know that √8=√(4*2)

Thus, √(4*2)=(√4)*(√2)=2√2

So 3√8 simplified is 2√2

Answer:

54

Step-by-step explanation:

180/pi * 3pi / 10 = 54.

It's as simple as that

(Note: You didn't specify if any of them were in bracket's, so then I assumed that there are none in this equation, hope you still enjoy the answer tho.)

Option B "Perpendicular Lines"  is correct.

"Perpendicular Lines" are two lines that intersect at a right angle, forming 90-degree angles between them. Thus, Option B holds the truth.

Perpendicular lines are a fundamental concept in geometry and they are defined as two lines that meet at a right angle; forming four 90-degree angles. This means that the slopes of the two lines are negative reciprocals of each other. Perpendicular lines are important in many areas of mathematics and physics because they allow us to calculate angles, distances and other geometric properties.

Perpendicular lines are useful in many practical applications such as: architecture, engineering and construction. By understanding the properties of perpendicular lines, one can better understand the geometry of our world and solve real-world problems.

Learn more about Perpendicular lines brainly.com/question/1202004

#SPJ4