Aja's favorite cereal is running a promotion that says
1
11-in-
4
44 boxes of the cereal contain a prize. Suppose that Aja is going to buy
5
55 boxes of this cereal, and let
X
XX represent the number of prizes she wins in these boxes. Assume that these boxes represent a random sample, and assume that prizes are independent between boxes.
What is the probability that she wins at most
1
11 prize in the
5
55 boxes?
You may round your answer to the nearest hundredth.
P
(
X
≤
1
)
=
P(X≤1)=P, left parenthesis, X, is less than or equal to, 1, right parenthesis, equals

The above code will read the data in mylris.csv into a new variable named my_data and store it in the R environment. To activate all R diagnostics related to syntactic errors, use the following command below:options(show.error.messages = TRUE)

To calculate the means of the 4 numeric variables in iris, follow the steps below: First, you will need to load the iris dataset. You can do this by using the command below. data(iris)To find the mean of the numeric variables, you can use the function mean() which is available in R.

It calculates the arithmetic mean of a vector of values. To find the mean of the numeric variables in iris, you can use the following code below.mean

(iris$Sepal.Length)mean(iris$Sepal.Width)mean(iris$Petal.Length)mean(iris$Petal.Width)

The above code will display the means of the four numeric variables in iris.R provides multiple functions for calculating the mean. The most commonly used ones are mean(), colMeans(), and rowMeans().The mean() function takes a vector as an argument and calculates the arithmetic mean of the values in the vector.

The col Means() and rowMeans() functions take a matrix or a data frame as an argument and calculate the means of the columns or rows, respectively. RStudio provides multiple ways to help with coding. Code completion is one such feature. Code completion is a feature that allows you to autocomplete code while you are typing. RStudio offers multiple ways of code completion.

The most commonly used ones are Basic Completion, Contextual Completion, and Shorthand Completion.

To use the read.table command to read mylris.csv into a new variable, use the following code below:

my_data <- read.table("mylris.csv", header = TRUE, sep = ",")

The above code will read the data in mylris.csv into a new variable named my_data and store it in the R environment. To activate all R diagnostics related to syntactic errors, use the following command below:options(show.error.messages = TRUE)

The above command will enable R to display all error messages related to syntactic errors.

To know more about data visit-

https://brainly.com/question/29117029

#SPJ11

Answer:

c: on a number line, c is to the left of d

Answer:

x = 15.56

y = 15.56

Step-by-step explanation:

In the right angled triangle,

Taking 45 as the reference angle,

h = 22

p = y

b = x

sin45 = p/h

sin45 = y/22

y = sin45 x 22

y= 15.56

cos45 = b/h

cos45 = x/22

x = cos45 x 22

x= 15.56

Answer

4: 22 degrees

3: (9,2)

Step-by-step explanation:

The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0

Given: Smoothing constant α = 0.45, Forecast for period 10 = 297

We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.

The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)

Ft

Where,

At is the actual value for period t, and Ft is the forecasted value for period t.

We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10

F11 = 162.35 + 0.45(297) = 297.4

For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7

For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1

For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9

For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0

Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)

Know more about Smoothing constant:

https://brainly.com/question/32292658

#SPJ11

Answer:

m = -2

Step-by-step explanation:

As one goes from (2, 7) to (4, 3), we note that x increases by 2 and y decreases by 4.  Thus, the slope is m = rise / run = -4/2, or -2

The slope of the line connecting these two points is -2.

Answer:

$160.50

Step-by-step explanation:

You multiply $150 by .15 to find out what 15% of it  (10.50)

You add the values to get $160.50

10.5 is  the sales tax on clothing that costs $150

percentage, a relative value indicating hundredth parts of any quantity.

Given that Sales tax is calculated as a percentage of the sales price.

sales tax is 7%

We need to find the the sales tax on clothing that costs $150

Convert 7% to the decimal value by dividing with 100.

7/100=0.07

Now multiply 0.07 with 150

0.07×150

Zero point zero seven times of one hundred and fifty.

10.5

Hence, 10.5 is  the sales tax on clothing that costs $150

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

Answer:

BC

Step-by-step explanation:

if u think about it, its pretty easy, if I'm wrong probably mistake but i tried my best

Answer:

BC is the correct answer

hope it is helpful to you

Answer: Hello!

We know that

the equation for calculating the slope of a line is

m=(y2-y1)/(x2-x1)

look for any two points on the graph

let

A(0,0)

B(3,1)

m=(1-0)/(3-0)------> m=1/3

the slope  is 1/3 throughout the line

therefore  

the answer is the option

B-It is 1/3 throughout the line

Step-by-step explanation:

Mark me brainest please. Hope I helped! Hope you make an 100%

- Anna♥

By consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15.

Over a period of 5 years, assuming an annual deposit of $10,000 at an interest rate of 8%, you would accumulate a significant amount through compound interest.

To calculate the total amount after 5 years, we can use the formula for the future value of an ordinary annuity:

\( FV = P \times \left( \frac{{(1 + r)^n - 1}}{r} \right) \)

Where:

FV = Future value

P = Annual deposit

r = Interest rate per period

n = Number of periods

In this case, the annual deposit is $10,000, the interest rate is 8% (or 0.08 as a decimal), and the number of periods is 5 years. Plugging these values into the formula:

\( FV = 10000 \times \left( \frac{{(1 + 0.08)^5 - 1}}{0.08} \right) \)

After evaluating the expression, the future value (FV) after 5 years would be approximately $48,786.15.

Therefore, by consistently depositing $10,000 each year for 5 years at an interest rate of 8%, you would accumulate around $48,786.15. This demonstrates the power of compounding interest over time, where regular contributions can lead to significant growth in savings.

Learn more about Compound Interest here:

brainly.com/question/28655726

#SPJ11

Answer:

5 3/5 is a mixed number but its improper form is 28/5 with the explanation below;

Step-by-step explanation:

5 3/5 = [5 × 5(denominator)] + 3(numerator) /5

= 25 + 3 /5

= 28/5

please mark brainliest

Splitting strategy is one of the technique in mathematics  which help to add  the larger number , two-digit and three digit and so on.

Explanation:

Splitting strategy is one of the mathematical technique :

Therefore, the splitting strategy is mathematical technique to make out work effortless.

learn more about splitting strategy here

brainly.com/question/936663

#SPJ4

It has been proven that R is 46, below.

Suppose that l: y=kx + b

We know that y = -64/x^3 + 3

So, the slope of the curve C at point P is

y (4) = 2

Because the line l is the normal to C at point P

So, k.y(4) = -1, k = \(\frac{-1}{y(4)}\) = 1/2

So l:y = -1/2 x + b

Because P(4, 6) lies on l, so we have:

6= -1/2 x 4+ b, b= 8

So the equation of line l: y = -1/2 x + 8, and the coordinate of the point the l intercepts the x-axis is (16,0)

So the area of R is equal to

We use differentiation here

= (-16-(-26)) + (64- 28)

= 46.

Hence, proven.

Read more about geometry here:

https://brainly.com/question/19241268

#SPJ1

Answer:

B) 9

Step-by-step explanation:

f(2) means what is the value of y when x = 2.

Therefore, from inspection of the graph, when x = 2, y = 9

Answer:

x = -10

Step-by-step explanation:

y = 2x + 5

-15 = 2x + 5

-20 = 2x

-10 = x

Answer:

-10

Step-by-step explanation:

y = -10

Answer:

5

Step-by-step explanation:

The diameter and height in the picture are 2/5D and 2/5H, respectively

From the question, we have the following parameters that can be used in our computation:

Container = 2/5 smaller than in reality

This means that

Scale factor = 2/5

Using the above as a guide, we have the following:

Diameter = 2/5D where D = diameter in reality

Also, we have

Height = 2/5H where H = height in reality

Hence, the height in picture is 2/5H

Read more about scale factor at

brainly.com/question/15891755

#SPJ1

Complete question

The Ricoffy tin container with no dimensions indicated.The container is 2,5 times smaller than what it is in reality

Diameter of the tin on the picture = ? Height of the tin on the picture = ? Actual weight of coffee = 750 g 1.1 Measure the diameter of the tin in mm and write down the real diameter in mm​

Answer:

D

Step-by-step explanation:

You take the area of all sides and add there are two of each side, like a front and back, or top and bottom. And that's when you get the surface area.

Answer:

Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated

Step-by-step explanation:

Answer:

Step-by-step explanation:

complex numbers , real numbers , rational numbers , natural numbers , whole numbers

Since the roots are complex, the general solution of the differential equation can be written as: y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

To solve the initial value problem for the given differential equation 10y'' - 50y' + 65y = 0, we need to find the general solution of the equation and then apply the initial conditions to determine the specific solution.

The characteristic equation for the given differential equation is:

10r^2 - 50r + 65 = 0

Solving this quadratic equation, we find that the roots are complex:

r = (50 ± √(50^2 - 41065))/(2*10)

= (50 ± √(-300))/(20)

= (50 ± √(300)i)/(20)

Since the roots are complex, the general solution of the differential equation can be written as:

y(t) = e^(50t/20)(c1cos(√(300)t/20) + c2sin(√(300)t/20))

Now, let's apply the initial conditions to find the specific solution. Since the problem does not provide the initial conditions, we cannot proceed further without knowing the specific values for y(0) and y'(0).

Please provide the initial conditions, and I'll be able to find the specific solution and check if it satisfies the differential equation and initial conditions.

Learn more about differential here:

https://brainly.com/question/1164377

#SPJ11

B. 1.3

Hope that helped:)

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer:

-3.4 or -17/5

Step-by-step explanation:

3 and 2/5= 17/5 or 3.4

-7 and 1/5 = -34/5 or -6.8

On solving the provided question, we can say that equation that make the most sense to solve with the Zero Product Property is  4x² + 16x = 12

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

equation that make the most sense to solve with the Zero Product Property is

4x² + 16x = 12

as when putting x = 0 we get 12

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Answer:

Your right the answer is B a=60 , b=120

A ratio of 1:2 just means one value is twice that of the other.

Answer:

B (a=60, b=120)

Step-by-step explanation:

1. m∠AOB = 180°

2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.

3. a+b = 180, so x+2x = 180, 3x = 180, x = 60

4. x = a, so if x=60, then a = 60

5. if b=2x, then b = 2a, which is 2*60 = 120

Hope this helps

According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.

The equation is a mathematical statement or model that shows that two mathematical expressions are equal.

In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.

Cost of the new car = $25,000

Depreciation rate per annum = 20%

Value of the car = V

The price paid initially = P = $25,000

The annual rate of depreciation = r

Depreciation period = 4¹/₂ years

Equation model: V=P(1-r)^t

Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂

= $9,158.93

= $9,200

Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.

Learn more about equations at https://brainly.com/question/22688504

#SPJ1

Answer:

a) much smaller

b) little larger

c) little smaller

d) much larger

Step-by-step explanation:

Anything multiplied by a value less that 1 will reduce the size

Anything multiplied by a value larger than 1 will increase the size

(Basically, the larger the value, the less it is shrunk/the more it is expanded)

Answer:

y=5x+1

Step-by-step explanation:

we already know the slope so we can put it in the slope intercept form

y=5x

And now we can put the coordinate points in there to find the y intercept

-4=5(-1)

-4=-5

We need to add 1 to make this equation true so the y intercept is 1

The equation will be

y=5x+1

Hopes this helps please mark brainliest

Answer:

y=5x+1

Steps are in the picture