Kevin is remodeling his bathroom. He needs to cut a circular hole out of a countertop to place the sink, as shown in the figure. What will be the area of the countertop once Kevin cuts the hole, to the nearest square inch? Use 3.14 as an approximation for pi.

Answer:

ans:- 14

Step-by-step explanation:

let length = x

so, width= 2x -1

perimeter= 2(l +b)

82 = 2(x+ 2x-1)

41 = 3x - 1

3x = 42

x = 14

Answer:

tears ...........

........

Answer:

32/9

Step-by-step explanation:

The distribution of the data is skewed right, which means that the data is not evenly distributed across the range of values.

To calculate the skewness, we can use the formula Skewness = (Mean - Mode) / Standard Deviation. In this case, the mean is 599.2 seconds, the mode is 590 seconds, and the standard deviation is 110.88 seconds. Plugging these values into the formula, we get Skewness = (599.2 - 590) / 110.88 = 0.8094. This indicates that the data is skewed right, as the skewness is greater than 0. A right-skewed distribution typically occurs when the majority of data points are closer to the minimum value, while there are fewer data points near the maximum value. This can be seen in the graphical summary, where the majority of the data points are clustered around the lower end of the range and the tail extends to the right.

Learn more about distribution here:

https://brainly.com/question/29062095

#SPJ4

Answer:

The angle of that is 90°

Did you figure it out?

Answer:

4266

Step-by-step explanation:

Okay! let's start with finding what 3% of 5400 birds is

3% is .03 as a decimal. We can find 3% of 5400 by multiplying 5400 by .03

5400×.03= 162

If our rainforest is losing 3% a year, that means we are losing 162 birds a year.

Let's turn it into an equation! x will be the number of years

5400-162x= number of birds left after x years

Now put 7 in for x

5400-(162×7)= 4266 birds

Hope this helps!

AbbyMay :)

There are 9,999 natural numbers that have no more than 4 digits.

To determine the number of natural numbers that have no more than 4 digits, we consider the range of numbers from 1 to 9,999.

The natural numbers with no more than 4 digits include all numbers from 1 to 9 (which form the single-digit numbers), all numbers from 10 to 99 (which form the two-digit numbers), all numbers from 100 to 999 (which form the three-digit numbers), and all numbers from 1,000 to 9,999 (which form the four-digit numbers).

To calculate the total count, we can add the number of single-digit numbers, two-digit numbers, three-digit numbers, and four-digit numbers:

Single-digit numbers: 9 (from 1 to 9)

Two-digit numbers: 90 (from 10 to 99)

Three-digit numbers: 900 (from 100 to 999)

Four-digit numbers: 9,000 (from 1,000 to 9,999)

Adding these counts together:

9 + 90 + 900 + 9,000 = 9,999

Therefore, there are 9,999 natural numbers that have no more than 4 digits.

To know more about natural numbers, refer here:

https://brainly.com/question/16978976

#SPJ4

Answer:

0.15%

Step-by-step explanation:

99.7% of data within 3 standard deviations of mean.

that is within 3.89 and 12.77.

0.3% are either less than 3.89 or at least 12.77.

percentage of at least 12.77 = 0.3/2 = 0.15%.

0.15% of American women have shoe sizes of at least 12.77.

The variable x has a range of values of 7 < x < 25

The given parameter in the triangle represented by the figure

From the triangle, we can see that:

The red line bisects the side length BD to BC and CD

However, it does not bisect the angle at point C

By the representation of the line, we can see that

Angle BCA is less than angle DCA

Mathematically, this is represented as

BCA < DCA

So, we have

5x - 35 < 90

This gives

5x < 125

Divide by 5

x < 25

Also, the angle must be greater than 0

So, we have

5x - 35 > 0

This gives

5x > 35

Divide by 5

x > 7

Combine the inequality x > 7 and the inequality x < 25

The result is 7 < x < 25

Hence, the range of x is 7 < x < 25

Read more about angles at

https://brainly.com/question/7620723

#SPJ1

Answer:

the answer is option D......

There is no value of x that satisfies the given equation.

To solve the equation x² = 2² : x³ = 3³ : 10², we can simplify each ratio separately and then solve for x. Let's break it down step by step:

First, simplify the ratios:

x² = 4 : x³ = 27 : 100

Next, equate the ratios:

x² = 4 = x³ = 27 = 100

Since the equation x² = 4 implies that x is either 2 or -2, we need to test both values in the other ratios to find the correct solution.

For x = 2:

2³ = 8 ≠ 27, so this is not a valid solution.

For x = -2:

(-2)³ = -8 ≠ 27, so this is also not a valid solution.

Therefore, there is no value of x that satisfies the given equation.

For more such answers on Ratio

https://brainly.com/question/12024093

#SPJ11

Answer:

See below for proof of identity.

Step-by-step explanation:

Since both terms of \(\sin^3\theta+\cos^3\theta\) are perfect cubes, we can use the formula \(a^3+b^3=(a+b)(a^2-ab+b^2)\) where \(a=\sin\theta\) and \(b=\cos\theta\):

\(\displaystyle \frac{\sin^3\theta+\cos^3\theta}{\sin\theta+\cos\theta}\\\\\frac{(\sin\theta+\cos\theta)(\sin^2\theta-\sin\theta\cos\theta+\cos^2\theta)}{\sin\theta+\cos\theta}\\ \\\frac{(\sin\theta+\cos\theta)(1-\sin\theta\cos\theta)}{\sin\theta+\cos\theta}\\\\1-\sin\theta\cos\theta\)

Thus, the identity is proven.

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

Find out more on Triangles at https://brainly.com/question/9329173

#SPJ1

Answer:

i think it is many but i am not sure

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

A couple would probably budget for the wedding if they make $70,000 together, you can use the regression equation obtained from the analysis. The regression equation will provide you with the relationship between the couple's income and the wedding cost.

The excel regression tool using the cost as the dependent variable and the couple's income as the independent variable, only those weddings paid for by the bride and groom. A. Interpret all key regression results, hypothesis tests, and confidence intervals in the output. B. Analyze the residuals to determine if the assumptions underlying the regression analysis are valid. C. Use the standard residuals to determine if any possible outliers exist. D. If a couple makes $70,000 together, how much would they probably budget for the wedding?

Weddings Couple's Income Bride's age Payor Wedding cost Attendance Value Rating

$130,000 22 Bride's Parents $60,700. 00 300 3

$157,000 23 Bride's Parents $52,000. 00 350 1

$98,000 27 Bride & Groom $47,000. 00 150 3

$72,000 29 Bride & Groom $42,000. 00 200 5

$86,000 25 Bride's Parents $34,000. 00 250 3

$90,000 28 Bride & Groom $30,500. 00 150 3

$43,000 19 Bride & Groom $30,000. 00 250 3

$100,000 30 Bride & Groom $30,000. 00 300 3

$65,000 24 Bride's Parents $28,000. 00 250 3

$78,000 35 Bride & Groom $26,000. 00 200 5

$73,000 25 Bride's Parents $25,000. 00 150 5

$75,000 27 Bride & Groom $24,000. 00 200 5

$64,000 25 Bride's Parents $24,000. 00 200 1

$67,000 27 Groom's Parents $22,000. 00 200 5

$75,000 25 Bride's Parents $20,000. 00 200 5

$67,000 30 Bride's Parents $20,000. 00 200 5

$62,000 21 Groom's Parents $20,000. 00 100 1

$75,000 19 Bride's Parents $19,000. 00 150 3

$52,000 23 Bride's Parents $19,000. 00 200 1

$64,000 22 Bride's Parents $18,000. 00 150 1

$55,000 28 Bride's Parents $16,000. 00 100 5

$53,000 31 Bride & Groom $14,000. 00 100 1

$62,000 24 Bride's Parents $13,000. 00 150 1

$40,000 26 Bride's Parents $7,000. 00 50 3

$45,000 32 Bride & Groom $5,000. 00 50 5

Multiple R: The multiple correlation coefficient is 0.819, which indicates a strong positive relationship between couple's income and wedding cost.

R Square: The coefficient of determination is 0.671, which means that approximately 67% of the variation in wedding cost can be explained by couple's income.

Adjusted R Square: The adjusted R square is 0.650, which takes into account the number of independent variables in the model and is slightly lower than the R square.

Standard Error: The standard error of the estimate is 10,101.431, which represents the average deviation of the observed values from the predicted values.

The intercept coefficient is 24525.824, which represents the estimated wedding cost when the couple's income is zero. The coefficient for couple's income is 0.397, indicating that a one-unit increase in couple's income is associated with a $397 increase in wedding cost.

To know more about analysis here

https://brainly.com/question/30255503

#SPJ4

Answer:

i have no idea what is the question would you please provide me exact questions

Answer:

what?

Step-by-step explanation:

doesnt understand

The maximum amount you can earn is $540

a. y = 13.50x , 10 <= x <= 40
b. x = 10, y = 135; x = 20, y= 270; x = 30, y = 405; x = 40, y = 540
c. Domain: 10 <= x <= 40; Range: 0 <= y <= 540
d. The minimum amount you can earn in a week with this job is $135. The maximum amount you can earn is $540.

To learn about Domain

brainly.com/question/29452843

#SPJ11

Answer:

The probability that the socks picked is not blue is 11/14

Step-by-step explanation:

In this question, we are to calculate that a socks selected from random from the group of socks given in the question is not a blue socks.

This means the socks would either be a black or a white socks

Firstly, we find the total number of socks = 8 + 6 + 14 = 28 socks

Now the probability of picking a blue socks will be 6/28 = 3/14

We must understand that the probability of not picking a blue socks = 1 - the probability of picking a blue socks

Thus, the probability of not picking a blue socks will be 1 - 3/14 = 11/14

Answer:

The probability that a sock chosen at random is not blue P = 11/14 = 0.786

Step-by-step explanation:

Probability is the chances of getting a particular outcome.

Given:

Black socks = 8

Blue socks = 6

White socks = 14

Total = 8+6+14 =28

The probability that a sock chosen at random is not blue P;

P = number of non-blue socks ÷ total number of socks

Number of non blue socks = black + white socks = 8+14 = 22

Substituting the values;

P = 22/28 = 11/14

P = 11/14 = 0.786

In a four-page novel (about 2,000 words), you can expect to find approximately 100 words that have the form _ _ _ _ _ n _ (seven-letter words with "n" in the sixth position).

To estimate the number of words that have the form _ _ _ _ _ n _ (seven-letter words with "n" in the sixth position) in a four-page novel containing approximately 2,000 words, we need to make a few assumptions.

First, we assume that the words are evenly distributed throughout the novel. This means that each page contains roughly the same number of words.

Second, we'll consider that the length of the words in the novel varies, but for simplicity, we'll assume an average word length of five letters.

Now, let's break down the problem:

In a seven-letter word, with "n" fixed in the sixth position, we have one specific letter at a fixed position, leaving five remaining positions to be filled by any letter.

For each of the remaining five positions, there are 26 possible letters (assuming we consider only English letters).

So, the total number of possible seven-letter words with "n" in the sixth position is 26^5, which equals 118,813,760.

However, not all combinations of letters will form valid English words. To obtain a more realistic estimate, we can consider the frequency of words in the English language.

According to linguistic research and data, not all combinations of letters have the same likelihood of forming valid words.

Assuming an average English word length of five letters, we can estimate that roughly 20% of all possible combinations will form valid English words.

Applying this estimation, we can approximate the number of valid words with the desired form as 0.2 * 118,813,760, which equals approximately 23,762,752 words.

Now, to estimate the number of such words in a four-page novel of about 2,000 words:

We can assume that each page contains approximately 500 words (2,000 words / 4 pages).

To find the expected number of words with the desired form, we can multiply the number of words per page by the estimated proportion of valid words:

Expected number of words = 500 words/page * 23,762,752 words / 118,813,760 words = 100 words.

Learn more about average here: https://brainly.com/question/24057012

#SPJ11

The median of a sample will always equal the 50th percentile.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median. The statistical median is the number in the middle of a series of numbers. To find the median, sort each number by size; the number in the middle is the median. The median is the value in the middle of a set of data. First, organize and sort the data in ascending order from smallest to largest. Divide the number of observations by two to find the midpoint value. If there are an odd number of observations, round that number up to the nearest whole number, and the value in that position is the median.

Here,

A sample's median will always equal the 50th percentile.

To know more about median,

https://brainly.com/question/29156884

#SPJ1

Answer:

14.25 hours

Step-by-step explanation:

We know

2.25 hours = 1 yard

13.5 hours = 6 yards

1/3 yard = 2.25 / 3 = 0.75 hours

To find how long it takes him to complete 6 1/3 yards, we take

13.5 + 0.75 = 14.25 hours

So, he spent 14.25 hours mowing yards.

A valid proof requires showing that the conjecture holds true for all possible situations or providing evidence from multiple examples.

To prove that a conjecture is true, it is not sufficient to demonstrate its truth in just one example.

In mathematics, a conjecture is a statement that is believed to be true but has not been proven. To establish the validity of a conjecture, it is essential to provide evidence that supports its truth in all possible situations or through a rigorous proof.

Proving a conjecture true for all possible situations is a strong form of evidence. It means that the statement holds true regardless of any specific conditions or instances. By considering all possible cases, one can demonstrate the conjecture's validity across the entire domain of interest.

While a single example can provide some evidence and intuition towards the truth of a conjecture, it is not sufficient to establish its validity in general. A single example may be an exception or an instance that coincidentally satisfies the conjecture. Without further evidence or a systematic approach, relying on just one example can lead to incorrect conclusions.

To ensure the accuracy and reliability of a proof, mathematicians employ various techniques such as induction, contradiction, direct proof, and counterexamples. These methods allow for a comprehensive analysis of the conjecture's truth in multiple instances and generalizing the results to all possible situations.

In conclusion, proving a conjecture true requires demonstrating its validity in all possible situations or providing rigorous evidence from multiple examples. One example alone is insufficient as it does not account for all potential cases and may not represent the entire range of possibilities. A comprehensive and systematic approach is necessary to establish the truth of a conjecture.

Learn more about conjecture here:

brainly.com/question/29381242

#SPJ11

The correct option regarding the linear regression equation is:

No, the equation is not a good fit because the sum of the residuals is a large number.

To find the equation, we need to insert the points (x,y) in the calculator.

In possession of the equation, the residuals are given by the difference of the predicted values(with the equation) and the actual values.

The model represents a good fit if the sum of the residuals is close to 0.

For this problem, the sum of the residuals is given by:

90 - 50  - 100 - 100 + 150 - 50 = -60.

The sum is a large number, hence the model is not a good fit.

More can be learned about linear regression at https://brainly.com/question/22992800

#SPJ1

Answer:

its 605 miles

Step-by-step explanation:

If we take 110,408 and subtract 109,875 then it should equal 605

Answer:

Step-by-step explanation:

109,875

               =605

-110,480

Mark brainliest please if the answer is correct