The radius of a circle is 4 feet. What is the circle's area?
=4 ft
Use 3.14 for a

Step-by-step explanation:

One possible equivalent equation to the given formula is:

uppercase B = 3 uppercase V ÷ h

To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:

3/h * uppercase V = 3/h * (one-third uppercase B h)

Simplifying the right-hand side:

3/h * (one-third uppercase B h) = uppercase B

Substituting back in the original formula gives:

uppercase B = 3/h * uppercase V

answer: 28561^2in the area involves multiplying by the 4 sides of the shaded square and the shaded is the colored square.

1 cup for each of the 20 students.

1 x 20= 20

20 cups

4 cups =1 quart.

20/4 = 5

Answer: 5 quarts

The probability that exactly seven claims will be filed during the next week is approximately 0.1038 or 10.38%.

To determine the probability of exactly seven claims being filed during the next week, we need to use the Poisson distribution. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space when the events occur with a known average rate and independently of the time since the last event.

In this case, we are given that the average number of claims filed per week is seven. This average rate is also the parameter λ (lambda) of the Poisson distribution.

The probability mass function (PMF) of the Poisson distribution is given by:

P(X = k) = (e^(-λ) * λ^k) / k!

Where X is the random variable representing the number of claims filed, k is the specific number of claims we are interested in (in this case, k = 7), e is the base of the natural logarithm (approximately 2.71828), and k! represents the factorial of k.

Substituting the given average rate of seven claims per week into the equation, we have:

P(X = 7) = (e^(-7) * 7^7) / 7!

Calculating this expression will give us the probability of exactly seven claims being filed during the next week.

P(X = 7) ≈ 0.1038

Therefore, the probability that exactly seven claims will be filed during the next week is approximately 0.1038 or 10.38%.

This means that, on average, we can expect approximately 10.38% of weeks to have exactly seven claims filed based on the given average rate of seven claims per week.

For more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

Answer:

- +=_

914-27=887

887 answer this fraction

The solution to the equations are b = 15, b = 22, c = 21 and n = 28

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

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

Next, we collect the like terms in each of the equation

This gives

b = 31 - 16

b = 50 - 28

c = 54 - 33

n = 52 - 24

Lastly, we evaluate the like terms

b = 15

b = 22

c = 21

n = 28

The above are the solutions to the equations

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Question

Solve the following equations:

31 - b = 16

28 + b = 50

33 + c = 54

52 - n = 24

The answers are:

27. P(6) = 0.2 , 28. P(even number) = 0.6 , 29. P(6) = 1/10 , 30. P(even number) = 5/10 = 0.5

The experimental probability of getting a 6 is 0.2, because 2 out of 50 displays were 6s.

The experimental probability of getting an even number is 0.6, because 30 out of 50 displays were even numbers.

The theoretical probability of getting a 6 is 1/10, because there is 1 chance out of 10 that the calculator will display a 6.

The theoretical probability of getting an even number is 5/10, because there are 5 chances out of 10 that the calculator will display an even number.

As you can see, the experimental probabilities are close to the theoretical probabilities. This is because the calculator was programmed to randomly display a digit from 0 to 9, so the results should be evenly distributed. However, there is always some chance of variation, so the experimental probabilities may not be exactly equal to the theoretical probabilities.

For such more questions on even

https://brainly.com/question/30408882

#SPJ8

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8

Answer:

The last one

Step-by-step explanation:

Answer:

D, Divide both sides by -4.6

Step-by-step explanation:

You want to get the x and the regular integers on separate sides of the equals sign, so you divide the -4.6 to get the x on its own side of the equals sign. That's the first step to solving the equation.

The simplified expression is 120x³ + 120x².

To simplify the expression 5x(2x+2)12x, we can use the distributive property of multiplication over addition and simplify the resulting terms.

First, we distribute 5x to the expression (2x+2), which gives us:

5x(2x+2) = 10x² + 10x

Next, we can multiply the result by 12x:

12x(10x² + 10x) = 120x³ + 120x²

Therefore, the simplified expression is 120x³ + 120x².

We can see that the original expression was a multiplication of three factors, and we used the distributive property to simplify it by expanding and multiplying the resulting terms. The final expression has a common factor of 120x², which we can factor out to get 120x²(x+1).

To know more about an expression follow

https://brainly.com/question/29099058

#SPJ1

The sample size for the confidence interval is given as follows:

n = 185.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The margin of error is given as follows:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

The parameters for this problem are given as follows:

\(M = 0.071, \pi = 0.41\)

Hence the sample size is obtained as follows:

\(0.071 = 1.96\sqrt{\frac{0.41(0.59)}{n}}\)

\(0.071\sqrt{n} = 1.96\sqrt{0.41 \times 0.59}\)

\(\sqrt{n} = \frac{1.96\sqrt{0.41 \times 0.59}}{0.071}\)

\((\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.41 \times 0.59}}{0.071}\right)^2\)

n = 185.

More can be learned about confidence intervals at https://brainly.com/question/25890103

#SPJ1

Answer: A: 31

Step-by-step explanation:

2m+9p-11
(plug in m=3, p=4)
2(3)+ 9(4)-11
6+36-11

42-11

31

Answer:

The function would be odd

The answer is neither.

Let's take an odd number and substitute.

Now, let's take an even number.

Since both even and odd numbers are possible, it is neither.

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

for such more question on trapezium

https://brainly.com/question/22351006

#SPJ8

Answer:

all the answers are in the image above

Step-by-step explanation:

see above image

Answer:

180:300

Step-by-step explanation:

You first divide 480 by 8 because 3+5= 8 and then you multiply that answer (60) by 3 to get 180 and then you multiply it by 5 to get 300. So you get the ratio of 180:300.

The distance that would be covered after t seconds = 1.5t meters

The speed of the race=distance/time =1.5m/s

The time given = t seconds

The distance (d) = ?

From the formula of speed = distance/time, make distance the subject of formula,

distance (d) = speed×time

= 1.5×t

= 1.5t meters

Therefore, the distance covered is 1.5t meters after t seconds.

Learn more about distance here:

https://brainly.com/question/7243416

#SPJ1

Answer:

y= -3

Step-by-step explanation:

x+y=-4

-

x-y=2

_________

eliminate x so ur left with

2y= -6

divide

y= -3

Answer:

Eliza gets 600 RS

Step-by-step explanation:

3:4 is the ratio, so divide 1050 into 7 parts. Each part is than 150 RS

Eliza has 4 of the 7 parts, so 150×4=600 RS

The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

Read more on positive correlation here: brainly.com/question/3753830

#SPJ1

The values Matilda use are A. x = 10 and y = 2

Since Matilda uses the polynomial identity (2x−y)² =4x²− 4xy + y² to show that 18² = 324, we choose the value of x = 10 and y = 2 since 2x - y = 2(10) - 2 = 20 - 2 = 18

Substituting the values of the variables into the polynomial identity, we have

(2x − y)² = 4x²− 4xy + y²

(2(10) − 2)² = 4(10)²− 4(10)(2) + 2²

(20 − 2)² = 4(100)− 4(10)(2) + 4

(20 − 2)² = 400 − 80 + 4

18² = 320 + 4

324 = 324

Since both the Left hand side and right hand side of the polynomial equation are equal, then x = 10 and y = 2

So, the values Matilda use are A. x = 10 and y = 2

Learn more about polynomial identities here:

https://brainly.com/question/22054283

Answer:

0.3164 = 31.64% probability that none of the selected adults say that they were too young to get tattoos.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either the say their were too young to get tattoos, or they do not say it. The answers for each adult is independent, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

25​% say that they were too young when they got their tattoos.

This means that \(p = 0.25\)

Four adults who regret getting tattoos are randomly​ selected

This means that \(n = 4\)

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{4,0}.(0.25)^{0}.(0.75)^{4} = 0.3164\)

0.3164 = 31.64% probability that none of the selected adults say that they were too young to get tattoos.

Answer:

Step-by-step explanation:

The 107.69 Euros will Roscoe have for trip to Germany.

It is required to find how many Euros will Roscoe have for trip to Germany.

What is arithmetic?

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

Roscoe is exchanging $ 121 for Euros.

If $2 can be exchanged for 1.78 Euros.

$2=€1.78

then $1= €0.89

For  $ 121=

=0.89*121

= €107.69

Therefore, the 107.69 Euros will Roscoe have for trip to Germany.

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

Learn more on length : https://brainly.com/question/23008020

#SPJ1

Answer:

13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set.

So, in order to find the range, you first order the data from least to greatest. Which it is already.

3, 7, 11, 14, 16

Then subtract the smallest value from the largest value in the set.

16 - 3 = 13

Hope this helps you out! : )

Given:

Total earning = $70

He spends \(\dfrac{1}{5}\) of the total amount on movies.

He then spends \(\dfrac{1}{2}\) of the remaining money on school clothes.

To find:

The remaining money.

Solution:

We have,

Total earning = $70

He spends \(\dfrac{1}{5}\) of the total amount on movies.

Money spent on movie is

\(\$70\dfrac{1}{5}=\$14\)

Remining money after movie is

\(\$70-\$14=\$56\)

He then spends \(\dfrac{1}{2}\) of the remaining money on school clothes.

Money spent on school clothes is

\(\$56\times \dfrac{1}{2}=\$28\)

Remining money after movie and school clothes is

\(\$56-\$28=\$28\)

Therefore, the remaining money is $28.

Answer:B

Step-by-step explanation: I did the test

The function is set of ordered pairs in which each X element has only a Y element.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The correct statement which does not represent a relation that is a function.

Since,

The vertical line test is used to determine the function exists or not. If the vertical line is moved across the graph one point of the graph is a function.  The line moving from point to point is a function.

Hence the option A is correct.

Thus, The function is set of ordered pairs in which each X element has only a Y element.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2