Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2

The probability that each bill is a $1 bill is given as follows:

1/16.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.

The bills are replaced, hence we consider that for each trial, there is a 1/4 probability of selecting a $1 bill, as one out of the four bills are of $1.

Hence the probability that each bill is a $1 bill is obtained as follows:

p = 1/4 x 1/4

p = 1/16.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

472.222222222

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

i need help with that to

Step-by-step explanation:

Answer:

12/60 simplified is 1/5

Step-by-step explanation:

The most common way to simplify is to divide, as the / is a sign to divide, meaning 12/60 translates to 60 divided by 12. Hope you understand :)

The burgers is sold each for 3.75 dollars , while the fries is solde for 1.25 dollars each

We would have to solve for the price of each of the items using the simultaneous linear equation method

2 burgers and 3 fries for $11.25

we would have:

Use the elimination method to solve the system of equations:

2 x+ 3 y = 11.25

7 x + 5 y = 32.50

Step 1 - Multiply Equation 1 by 7:

7 * (2x+3y=11.25) --> 14x + 21y = 78.75

Step 2 - Multiply Equation 2 by 2:

2 * (7x+5y=32.50) --> 14x + 10y = 65

Step 3 - s

14x + 21y = 78.75

-(14x + 10y = 65)

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

21y - 10y = 78.75 - 65

Step 4 - simplify and solve for y:

11y = 13.75

y  = 13.75 / 11

y = 1.25

Step 5 - now that we have solved for y, let's rearrange Equation 1 to solve for x:

2x = 11.25 - 3y

Divide each side by 2

2x / 2 = 11.25 - 3y / 2

x  =  11.25 - 3y / 2

Step 6 - we determined y = 1.25. Plug it into our Rearranged equation 1:

x  =  11.25 - 3(1.25) / 2

x  =  11.25 - 3.75 / 2

x  =  7.5 / 2

x = 3.75

Since x is the burgers which is 3.75 dollars while y is the fries which is 1.25 dollars

Read more on simultaneous linear equation here:https://brainly.com/question/26310043

#SPJ1

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

What is probability?

When we do not really know how something will turn forth, we can talk about the probability of one outcome or the likelihood of several.

Given that,

the coin is flipped = 2,500 times.

heads =1,223 times and tails= 1,277 times.

and

A die was rolled = 60 times

one—11 times, two—9 times, four—12 times, five—12 times, and six—8 times.

The empirical probability of flipping heads on the coin AND rolling a four on the die = (1223/2500) + (8/60)

=0.623

The empirical probability of flipping heads on the coin AND rolling a four on the die is 0.623.

Learn more about probability here:

https://brainly.com/question/24756209

#SPJ1

Answer:

The total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Step-by-step explanation:

Given

Principle P = $60

Rate r = 5% = 5/100 = 0.05

Time period t = 12 years

To determine

New Balance A = ?

Using the formula

A = P(1 + rt)

A = 60(1+(0.05×12))

A = $96.00

Therefore, the total amount accrued, principal plus interest, from simple interest on a principal of $60.00 at a rate of 5% per year for 12 years is $96.

Part A

If Emily needs 24 feet of wire, then she has to spend $14.4

Part B

If Andy needs 13 yards of wire, then he has to spend $23.4

From the given graph choose one option

The length of the wire = 120 inches

The cost of 120 inches of wire = $6

Cost of 1 inch of wire = 6/120

= $0.05

Part A

The length of the wire = 24 feet

Convert the feet to inches

24 feet = 288  inches

The cost of 288 inches of wire = 0.05×288

= $14.4

Part B

The length of the wire = 13 yards

Convert the yards to inches

13 yards = 468 inches

The cost of 468 inches of wire = 0.05×468

= $23.4

Hence,

Part A

If Emily needs 24 feet of wire, then she has to spend $14.4

Part B

If Andy needs 13 yards of wire, then he has to spend $23.4

Learn more about conversion here

brainly.com/question/9481766

#SPJ1

Answer:

5

Step-by-step explanation:

There will be five equal part because Iyene takes 2 parts and nokob takes 3 parts

Thus, the total parts which have been shared is 2+3=5

Further more, every part is

\( \frac{280}{5} = 56\)

Hence, there is 5 parts have been shared and every part is 56 dollars

Answer:

5 equal parts

Because one of the dudes will get 2 and the other one will get 3 parts

3+2 is 5

280/5=56 (1 part)

so iyene will get 56*2=112 and nokob will get 56*3=168

SOLUTION:

Case: Minimum and Maximum functions

Given:

Required: To find the minimum Unit cost

Method: we apply completing square on the function

Step 1: First we find the square of half the coefficient of x

Step 2: Add and subtract the value to the Right Hand Side

Step 3: From the equation

The quantity need to be produced to get the minimum unit cost is 220.

The value of the minimum cost therefore is obtained at C(220).

This would give:

C(220)= $19863

Final answer:

The minimum unit cost is $19863. Ignore the dollar sign($) when entering your answer.

The function f(x)* = 1 + x^2 is defined for all real numbers x, so the domain is all real numbers, or (-∞, ∞).

In determining the function's output values, one must consider its collection of feasible results to extract the range. Reviewing f(x)* exhibits a minimum value of 1 due to x^2 being perpetually non-negative, while adding another factor merely preserves positivity.

Concurrently as x skyrockets, so too does the value of f(x)* given that approaching infinity generates infinitely larger powers than any constant coefficient subordinated by it. Consequently, the overall range of f(x)* becomes [1, ∞), enwrapping all feasible solutions equivalent or superior to 1.

Learn more about domain on

https://brainly.com/question/26098895

#SPJ1

Here are the completed tables for each sequence:

Sequence 1 Sequence 2 Ordered Pair

5                    15                   (5, 15)

6                        14               (6, 14)

7                        13             (7, 13)

8                    12                 (8, 12)

9                   11                (9, 11)

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x.

The corresponding terms in the two sequences are related by a linear function. The slope of the line is 1, which means that for every 1 increase in y, there is a 1 increase in x. This means that the two sequences are increasing at the same rate.

Learn more about Sequence on

https://brainly.com/question/6561461

#SPJ1

When we have a population  data set it is like the scrambled phrase. statistic is the process of using visual, numerical, and tabular display to unscramble the data and discover the message behind it.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable. The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets can also be made up of a group of files or documents.

The analysis and manipulation of data is the essence of statistics. As we just covered in the introduction, statistics is the study of the calculation and analysis of numerical data. Let's examine other statistical definitions provided by various authors in this article.

Learn more about Data Set:

https://brainly.com/question/16987184

#SPJ4

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

To know about more translate and reflect https://brainly.com/question/12381163

#SPJ1

Answer:

Step-by-step explanation:

(16.2t+3.4u+2.9)cm

Step-by-step explanation:

A triangle is a plane shape that has three sides. The perimeter of a triangle is gotten by taking the sum of all the lengths of the three sides. Let the length of the three sides by s1, s2 and s3, the perimeter of the triangle will be expressed as;

P = s1+s2+s3

Given the side lengths

s1 = (8.1t-6.1)cm

s2 = (8.1t+7.1)cm

s3 = (3.4u+1.9)cm

Perimeter of the triangle = 8.1t-6.1+8.1t+7.1+3.4u+1.9

collect the like terms

P = 8.1t+8.1t+3.4u-6.1+7.1+1.9

P = 16.2t+3.4u+2.9

Hence the expression that represents the perimeter, in centimeters, of the triangle is  (16.2t+3.4u+2.9)cm

Answer:

1.11 will be the answer

Step-by-step explanation:

Answer:

3 may be the answer of given

Answer:

3.3

Step-by-step explanation:

on edmentum this is correct

Answer:

Cos θ = 13/15

Tan θ= 12/13

Step-by-step explanation:

We are given;

Sin θ = 12/15

From trigonometric ratios, we know that;

Sin θ = opp/hyp

Cos θ = adj/hyp

Tan θ = opp/adj

Thus, since Sin θ = 12/15, then;

Adjacent side = √(15²- 12²)

Adhacent side = √169

Afjacent side =13

Thus;

Cos θ = 13/15

Tan θ= 12/13

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Answer:

9/8

Step-by-step explanation:

She is knitting /3 for 3/8

Therefore, the answer is 9/8

In 120 different ways can the sequence of songs be played.

The art of arranging sound is called music. It is one of the defining characteristics of all human societies' cultures. Styles that highlight, de-emphasize, or exclude common components of organized sound, such as rhythm, loudness, and pitch, can be used to characterize the music.

Tempos and meters can be used to specify rhythm, and pitch variation and juxtaposition are frequently coordinated.

Individual sounds have timbres or textures that significantly affect the music's overall personality.

Music player:

A tool or program that plays digital audio files.

Solution -

To find the ways, multiply  5×4×3×2 .

⇒   20 × 3 × 2

⇒ 120

Therefore, songs can be played in 120 ways.

Know more about music here:

brainly.com/question/26373912

#SPJ1

The two angles are related in that they are supplementary angles

Supplementary angles would add tuo to 180 degrees according to the angle Theorem.

Adding the two given angles :

These angles are supplementary

The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.

Hence, the angles are related as they are supplementary angles .

Learn more on angles : https://brainly.com/question/11955149

#SPJ1

The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.

The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.

Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).

The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.

The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.

The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).

Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.

For more questions on Deviation .

https://brainly.com/question/24298037

#SPJ8

Answer:

16

Step-by-step explanation:

d = 800

t = ( 1 / 500 ) d

t = ( 1 / 500 ) 800

 = 800 / 500

t = 1.6 hours

The survryed was on 850 teenagers

Number of teenage that evade light hard rock = 32% of 850

=32/100 x850

=272

The total cash due at signing if the dealership requires down payment, security deposit, first month's payment and the acquisition fee at signing  is 2400 + 375 + 500 = 3275

When you buy a car, you don't make monthly payments at the beginning. Plus, you don't care how much the buyout costs when you close the lease, that's after you've had it for two years.

You must take care of the deposit, this is your good faith commitment to the rental car. In addition, you may have to pay a deposit based on your credit, and the acquisition fee is what you would pay a broker or dealer to get the car to you if you wanted it from somewhere else.

Therefore,

2400 + 375 + 500 = 3275

For more information about dealership, visit https://brainly.com/question/1918419

#SPJ9

Answer:

Step-by-step explanation:

Solving by factoring is a strategy used to solve quadratic in form polynomials, which are equations that can be written in the form of ax^2 + bx + c = 0. The goal of this strategy is to factor the equation into two binomials that are equal to zero. Once the equation is factored, we can use the zero product property to set each binomial equal to zero and solve for the roots or solutions of the equation.

The process of factoring begins by finding the greatest common factor of all the terms in the equation. Once the GCF is identified, it can be factored out of the equation. Next, we look for two binomials that multiply to give the remaining terms in the equation and add to give the remaining constant term.

For example, consider the equation: 3x^2 + 6x - 9 = 0.

To factor this equation, we first find the GCF of all the terms, which is 3. We can factor out 3 from all the terms, giving us: 3(x^2 + 2x - 3) = 0.

Now, we look for two binomials that multiply to give x^2 + 2x - 3 and add to give -2. We can see that (x-3)(x+1) satisfies this condition.

By factoring the equation, we have now factored the polynomial into (x-3)(x+1) = 0. We can use the zero product property to set each binomial equal to zero and solve for the roots: x-3 = 0 and x+1 = 0. The solutions are x=3 and x=-1.

By using the factoring strategy, we were able to solve the quadratic in form polynomial 3x^2 + 6x - 9 = 0 and find the roots x=3 and x=-1. This strategy can be applied to any quadratic in form polynomial and is a useful tool in solving equations.

Given:

The functions are

\(f(x)=4x^2+7x-5\)

\(g(x)=-9x^2+4x-13\)

To find:

The functions \((f+g)(x)\) and \((f-g)(x)\).

Solution:

We know that,

\((f+g)(x)=f(x)+g(x)\)

\((f+g)(x)=4x^2+7x-5-9x^2+4x-13\)

\((f+g)(x)=(4x^2-9x^2)+(7x+4x)+(-5-13)\)

\((f+g)(x)=-5x^2+11x-18\)

And,

\((f-g)(x)=f(x)-g(x)\)

\((f-g)(x)=(4x^2+7x-5)-(-9x^2+4x-13)\)

\((f+g)(x)=4x^2+7x-5+9x^2-4x+13\)

\((f+g)(x)=(4x^2+9x^2)+(7x-4x)+(-5+13)\)

\((f-g)(x)=13x^2+3x+8\)

Therefore, the required functions are \((f+g)(x)=-5x^2+11x-18\)

and \((f-g)(x)=13x^2+3x+8\).

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s