A circle has an area of 81 pi square units. what is the diameter of the circle?

Answer:

first one is 23

second is 20

Step-by-step explanation:

The driver's percent value-added time is approximately 18.57%.

The percent value-added time, we need to consider the total time spent in non-value-added activities (waiting in line, eyes tested, and photograph taken) compared to the total time spent, including value-added activities.

Total time spent = Time in line + Time for eyes test + Time for photograph = 57 minutes + 9 minutes + 4 minutes = 70 minutes

Value-added time = Time for eyes test + Time for photograph = 9 minutes + 4 minutes = 13 minutes

Percent value-added time = (Value-added time / Total time spent) * 100

= (13 minutes / 70 minutes) * 100

≈ 18.57%

To learn more about value-added time refer here:

https://brainly.com/question/29340992#

#SPJ11

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

The 99% confidence interval for the mean price of all transactions of a used car company selling second-hand cars, based on a sample of 30 transactions with a population standard deviation of 180 dollars, is $2437.24 to $2562.76. The correct interpretations of the confidence interval are If we repeat the study many times, approximately 99% of the calculated confidence intervals will contain the mean price of all transactions and the 99% confident that the mean price for this sample of 30 transactions lies in the interval. so, the correct answers are B and E.

Using the formula for a confidence interval with known population standard deviation, we have

Margin of error = z*(sigma/sqrt(n)) = 2.576*(180/sqrt(30)) = 62.76

Confidence interval = (sample mean - margin of error, sample mean + margin of error) = (2500 - 62.76, 2500 + 62.76) = (2437.24, 2562.76)

Therefore, the 99% confidence interval for the mean price of all transactions is (2437.24, 2562.76) dollars.

The correct interpretations of answer in above part are options B and E

We can be 99% confident that the mean price for this sample of 30 transactions lies in the interval. If we repeat the study many times, approximately 99% of the calculated confidence intervals will contain the mean price of all transactions.

To know more about confidence interval:

https://brainly.com/question/29680703

#SPJ4

--The given question is incomplete, the complete question is given

"  An online used car company sells second-hand cars. For 30 randomly selected transactions, the mean price is 2500 dollars. Part a) Assuming a population standard deviation transaction prices of 180 dollars, obtain a 99% confidence interval for the mean price of all transactions. Please carry at least three decimal places in intermediate steps. Give your final answer to the nearest two decimal places. Confidence interval: ). Part b) Which of the following is a correct interpretation for your answer in part (a)? Select ALL the correct answers, there inay be more than one. A. There is a 99% chance that the mean price of all transactions lies in the interval. B. We can be 99% confident that the mean price for this sample of 30 transactions lies in the interval. e. 99% of their mean sales price lies inside this interval. D. We can be 99% confident that all of the cars they sell have a price inside this interval. E. If we repeat the study many times, approximately 99% of the calculated confidence intervals will contain the mean price of all transactions. F. 99% of the cars they sell have a price that lies inside this interval. O G. None of the above.

A system of a linear equation is said tk be consistent if it had at least one solution is true

In a linear equation, the largest power of the variable is always equal to 1. It's also known as a one-degree equation. Typically, Ax + B = 0 is used to represent a linear equation with one variable. The variables x, A, and B in this case serve as constants and coefficients, respectively. The typical form of a linear equation with two variables is Ax + By = C. Here, x and y are the variables, A and B are the coefficients, and C is the constant. If there is at least one solution, a set of linear equations is considered to be consistent. This means that when all equations in the system are solved, at least one set of values for the variables can be found which satisfy all equations simultaneously. So, the statement is true.

Learn more about linear equation here

https://brainly.com/question/11897796

#SPJ4

On the number line, mark the endpoint at 10 with a closed circle.  

Next, draw a ray to the right of 10.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would collect like-terms and rearrange the expression as follows;

1,558 + 60x ≥ 2,158

60x ≥ 2,158 - 1,558

60x ≥ 600

x ≥ 10

Read more on inequality here: https://brainly.com/question/18731644

#SPJ1

Complete Question:

Solve the inequality from part A for x. 1,558 + 60x ≥ 2,158.

Then use the drawing tools to graph the solution set on the number line.

On the number line, ________________.  

Next, draw a ray to the ____ of 10.

Therefore, the relative accuracy of features plotted on the map is 500 meters.

To calculate the relative accuracy of features plotted on the map in meters, we need to convert the given accuracy from millimeters to meters.

Given:

Relative accuracy = 90%

Accuracy within 5 mm

To convert millimeters to meters, we divide by 1000:

5 mm = 5/1000 = 0.005 meters

Relative accuracy can be defined as the ratio of the actual accuracy to the map scale. In this case, the map scale is given as 1:100,000, which means that one unit on the map represents 100,000 units in reality.

To calculate the relative accuracy in meters, we multiply the actual accuracy (0.005 meters) by the map scale (100,000):

Relative accuracy = 0.005 meters * 100,000 = 500 meters

To know more about relative accuracy,

https://brainly.com/question/32502032

#SPJ11

Answer:

the answer for just eliminate the variables and to the solving tho get the answer as they get the answer to the number above

The speed of Kathy in the fundraiser walk is 3.6 mph.

The formula to calculate speed is distance divided by time. Let us assume that the distance walked by both is 'd'. Let the speed of Kate be 'k'. As given, Kathy walks 2 mph faster than Kate. Hence the speed of Kathy would be k + 2. To find the speed of Kathy, we can use the formula mentioned below: Distance traveled by Kate = Distance traveled by Kathy k × 8 = (k + 2) × 4.8Solving the equation, we get k = 1.2 mph. Using the speed of Kate, we can calculate the speed of Kathy: k + 2 = 1.2 + 2 = 3.2 mph. Therefore, the speed of Kathy is 3.2 mph.

Speed equals distance divided by time. Or, to put it another way, the time will be equal to the distance divided by the speed. The third can be calculated if you are familiar with two of the inputs. We can calculate a vehicle's speed by multiplying 120 times 2 to get 60 miles per hour, for instance.

Know more about speed, here:

https://brainly.com/question/17661499

#SPJ11

The fundamental counting principal there will be 2*2*2*4*2 = 64 possible lunches.

What is fundamental counting principal ?

According to this concept, the sum of the outcomes of two or more independent events is equal to the product of the outcomes of each individual event. For instance, a youngster picking from a menu of six ice cream flavors and three types of cones will have a total of 6 x 3 = 18 options.

Here size has two types  say  2

Here cheese has two types say 2

Here type of bun has two types say 2

Here side order has four types say 4

Here fruit drink has two types say 2

So, according to the fundamental counting principal there will be 2*2*2*4*2 = 64 possible lunches.

To learn more about fundamental counting principal visit:https://brainly.com/question/25193667

#SPJ4

A pair of intersecting lines that forms a pair of complementary angles is as drawn below.

Remember that complementary angles are defined as angles which sum is equal to 90°.

Besides, each of the pairs of opposite angles made by two intersecting lines are called vertical angles. Now, from congruent proofs, we know that that vertical angles are congruent. In another words, they have the same measure.

Thus, we have to draw two vertical angles that measure:

90° ÷2 = 45°

This image is as drawn below in the attached file.

Read more about Complementary angles at; https://brainly.com/question/16281260

#SPJ1

Answer:

Step-by-step explanation:

x - 16 = -30

x = -14

Answer:

3.

Step-by-step explanation:-16 + x = -30

The critical values for the confidence interval for the population standard deviation can be determined using the chi-square distribution. For a sample size of 13 and a significance level of 0.1, the critical values are 5.229 (lower critical value) and 22.362 (upper critical value).

To determine the critical values for the confidence interval for the population standard deviation, we can use the chi-square distribution. The chi-square distribution depends on the sample size and the significance level.

Given a sample size of 13 (n = 13) and a significance level of 0.1 (a = 0.1), we need to find the critical values that correspond to a cumulative probability of 0.05 (for the lower critical value) and 0.95 (for the upper critical value).

Using a chi-square distribution table or a statistical calculator, we find that the critical value for a cumulative probability of 0.05 with 12 degrees of freedom is approximately 5.229. This is the lower critical value.

Similarly, the critical value for a cumulative probability of 0.95 with 12 degrees of freedom is approximately 22.362. This is the upper critical value.

Therefore, the critical values for the confidence interval for the population standard deviation, with a sample size of 13 and a significance level of 0.1, are 5.229 (lower critical value) and 22.362 (upper critical value).

To determine the minimum score required for admission to the university, we need to find the SAT Writing score that corresponds to the top 30% of the distribution. Since SAT Writing scores are normally distributed with a mean of 491 and a standard deviation of 109, we can use the standard normal distribution.

The top 30% of the distribution corresponds to a cumulative probability of 0.7. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to a cumulative probability of 0.7 is approximately 0.524.

We can calculate the minimum score required for admission by multiplying the z-score by the standard deviation and adding it to the mean:

Minimum score = (0.524 × 109) + 491 ≈ 548.116

Rounding this value to the nearest whole number, we find that the minimum score required for admission is 548.

To learn more about chi-square refer:

https://brainly.com/question/4543358

#SPJ11

Answer:

the new perimeter of the land is 40m

Step-by-step explanation:

The computation of the new perimeter of the land is given below:

Since the square plot is 81m^2

It could be increased by 19m^2

So the total would be

= 81m^2 + 19m^2

= 100m^2

Each side is 10m

Now the perimeter is sum of all sides

= 10m + 10m + 10m + 10m

= 40m

hence, the new perimeter of the land is 40m

Answer:

Step-by-step explanation:

Essa conta poderia ser feita de várias maneiras. Uma delas é dividir 450 por 3 e depois multiplicar por 5. A resposta para esse problema é 750.

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

To know more about rectangles visit: brainly.com/question/29123947

#SPJ4

The equation that can be used to find x, the lesser number, is

(y - 8) * y = 240. And the two numbers can be 12 and 20 or

-12 and -20.

Let's assume the first number is x and the second number is y. According to the given information, the product of the two numbers is 240, so we have the equation xy = 240.

Additionally, it is stated that the first number is 8 less than the second number. This can be expressed as x = y - 8.

To find the equation that can be used to solve for x, we substitute the value of x from the second equation into the first equation:

(y - 8) * y = 240

This equation represents the relationship between the two numbers, where y is the greater number and y - 8 is the lesser number. By solving this equation, we can find the value of y and then calculate x as y - 8.

Now, let's solve the equation:

y² - 8y = 240

Rearranging the equation:

y² - 8y - 240 = 0

To solve this quadratic equation, we can factorize or use the quadratic formula. Factoring the equation, we have:

(y - 20)(y + 12) = 0

Setting each factor equal to zero, we have:

y - 20 = 0 or y + 12 = 0

Solving for y, we get:

y = 20 or y = -12

Since the first number (x) is 8 less than the second number (y), we have:

x = y - 8

Substituting the values of y, we get:

x = 20 - 8 or x = -12 - 8

Simplifying, we have:

x = 12 or x = -20

Therefore, the lesser number (x) can be either 12 or -20, depending on the context of the problem.

Learn more about quadratic formula here:

brainly.com/question/22364785

#SPJ11

Answer:

true

Step-by-step explanation:

False, receive a pay raise of 5% then receive a pay cut of 5%. after the two changes in pay, your salary is changed.

Given that,
To justify the given statement is false or true.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

here,
let the salary be x,
Salary after 5% raise = 1.05x
Salary after cut of 5% = [1 - 0.05] [1.05x]
Salary after a cut of 5% = 0.9975x
So the salary becomes 99.75% of the original salary x.

Thus, the given statement is false, receive a pay raise of 5% then receive a pay cut of 5%. after the two changes in pay, your salary is changed.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

For such more question on histograms

https://brainly.com/question/2962546

#SPJ8

Answer:10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

took the test

Answer:

Cups of carrot needed for 9 servings = 4.5 cups

Step-by-step explanation:

A recipe for sesame chicken calls for cup of chopped carrots

recipe 2 is for 4 servings

That is

2 cups of carrot = 4 servings

2 : 4

= 1 : 2

1 cup of carrot = 2 servings

how many cups of

carrots are needed for 9 servings?

Let x= number of carrot needed for 9 servings

1 : 2 = x : 9

1 /2 = x/ 9

Cross product

1*9 = 2*x

9=2x

Divide both sides by 2

9/2 = x

x= 4.5 Or 4 1/2

Answer:

x=-3y

x+3y=12

0=12

Step-by-step explanation:

The value of the numerical expression 7 − (−19) − 18 + (−19) + 18 will be 7.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The expression is given below.

⇒ 7 − (−19) − 18 + (−19) + 18

Simplify the expression, then the value of the expression is given as,

⇒ 7 − (−19) − 18 + (−19) + 18

⇒ 7 + 19 − 18 − 19 + 18

⇒ 7

The worth of the mathematical articulation 7 − (−19) − 18 + (−19) + 18 will be 7.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ4

According to the solving the angle with the house base of the ladder is 1.35 m. Hence the correct option is B. 1.35 m.

The formula for finding the distance between the base of the ladder and the house is:

\($$\sin\theta =\frac{opposite}{hypotenuse}$$\)

where θ = 30°, opposite = base of the ladder, and hypotenuse

= the ladder Length of the opposite side of the triangle is equal to the base of the ladder.

Hence the formula becomes:

\($$\sin 30°=\frac{base\ of\ the\ ladder}{2.7}$$\)

By solving the above equation, we can find the base of the ladder.

\($$base\ of\ the\ ladder=\sin 30°\times 2.7\)

=1.35\ m$$

Therefore, the base of the ladder is 1.35 m.

Hence the correct option is B. 1.35 m. Hence, the full solution is:

Answer: B. 1. 35 m

Explanation: Given, the height of the ladder is 2.7 m and the angle formed is 30°. To find out the distance between the base of the ladder and the house, we have to use the trigonometric ratio sine.

The formula for finding the distance between the base of the ladder and the house is:

\($$\sin\theta =\frac{opposite}{hypotenuse}$$\)

where θ = 30°, opposite = base of the ladder and hypotenuse

= the ladder length of the opposite side of the triangle is equal to the base of the ladder. Hence the formula becomes :

\($$\sin 30°=\frac{base\ of\ the\ ladder}{2.7}$$\)

By solving the above equation, we can find the base of the ladder.

\($$base\ of\ the\ ladder=\sin 30°\times 2.7\)

=1.35\ m$$

Therefore, the base of the ladder is 1.35 m. Hence the correct option is B. 1.35 m.

To know more about trigonometric ratio visit:

https://brainly.com/question/23130410

#SPJ11

Answer:

5.2

Step-by-step explanation:

Answer: No slope.

Step-by-step explanation:

No slope, the x values are the same yet they have different Y values so there isn't a slope and this isn't a function.

Answer:

25.

Step-by-step explanation:

FGH-G = 3x5x2 - 5 = 30 -5 =25.

Answer:

T (1,-8)

S (1,-10)

U (9,-8)

R (10,-9)