find area of the circle ​

Answer:

They gained 4 1/2 yards

Step-by-step explanation:

It was a positive gain because they didn't go back.

Answer:

Since the number is positive number they gained 4 1/2 yards

Step-by-step explanation:

hope this helped have a good day :) :)

There are 651 ways to select 6 people to form a committee from a group of 11 men and 9 women, with at least one woman in the committee.

To determine the number of ways to select 6 people to form a committee with at least one woman, we need to consider the different combinations of men and women that can be chosen.

First, let's consider the case where all 6 committee members are women. In this case, we have 9 women to choose from, and we need to select 6 of them. The number of ways to do this is given by the combination formula:

C(9, 6) = 9! / (6! * (9-6)!) = 84

Next, we consider the cases where there are 5 women and 1 man, 4 women and 2 men, 3 women and 3 men.

For 5 women and 1 man:

Number of ways to choose 5 women from 9: C(9, 5) = 9! / (5! * (9-5)!) = 126

Number of ways to choose 1 man from 11: C(11, 1) = 11! / (1! * (11-1)!) = 11

For 4 women and 2 men:

Number of ways to choose 4 women from 9: C(9, 4) = 9! / (4! * (9-4)!) = 126

Number of ways to choose 2 men from 11: C(11, 2) = 11! / (2! * (11-2)!) = 55

For 3 women and 3 men:

Number of ways to choose 3 women from 9: C(9, 3) = 9! / (3! * (9-3)!) = 84

Number of ways to choose 3 men from 11: C(11, 3) = 11! / (3! * (11-3)!) = 165

Finally, we sum up the different cases:

Total number of ways = 84 + 126 + 11 + 126 + 55 + 84 + 165 = 651

Therefore, there are 651 ways to select 6 people to form a committee from a group of 11 men and 9 women, with at least one woman in the committee.

Learn more about Combination:

https://brainly.com/question/28065038

#SPJ11

(a) The interpret the p-value in context of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower.

(b) The conclusion would make if a 0.05 is rejected because the p-value (0.0016) is less than the significance level.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01.

(a) The p-value of 0.0016 indicates that the probability of obtaining a sample mean hemoglobin level of 11.3 g/dl or lower, assuming that the true population mean is 12 g/dl (or higher), is only 0.0016. This suggests that the observed difference between the sample mean and the hypothesized population mean is statistically significant and unlikely to be due to chance alone.

(b) If using a significance level of 0.05, the null hypothesis (that the true population mean is 12 g/dl or higher) would be rejected because the p-value (0.0016) is less than the significance level. Therefore, it can be concluded that the sample provides evidence that the true population mean hemoglobin level is lower than 12 g/dl.

If using a significance level of 0.01, the null hypothesis would still be rejected because the p-value is less than 0.01. In this case, the evidence is even stronger, and the conclusion that the true population mean is lower than 12 g/dl would be even more robust.

Learn more about Anemia Study Results here:

https://brainly.com/question/28200198

#SPJ4

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

\(Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455\)

\(Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4\)

Total number of possible results:

\(results = 4*455\\results = 1820\)

The area of the shaded region of the semicircle is 108π mm²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a semicircle with a diameter of 24 mm, a circle is fitted in it, we need to find the measurement of the area which is shaded.

The diameter of the smaller circle = radius of semicircle.

Therefore,

Radius of smaller circle = 24/4 = 6 mm

To find the area of shaded region, we will subtract the area of the smaller circle from the area of semicircle.

Area of a circle = π × radius² {area of semicircle is just half of it}

Area of shaded region = π × 12² - π × 6²

= π(144-36)

= 108π

Hence, the area of the shaded region of the semicircle is 108π mm²

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ1

the correlation between the independent variables is less than 0.5

a. To develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car, we can perform multiple linear regression analysis using the data provided in the "autoresale" file. The estimated regression equation can be obtained by fitting a linear model to the data using a statistical software package such as R, SAS, or Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

Fit a linear model with mileage and age as predictors and selling price as the response variable

model <- lm(price ~ mileage + age, data = autoresale)

price = -3976.57 + (-0.06234 * mileage) + (-847.18 * age)

Therefore, the estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car is:

price = -3976.57 - 0.06234 * mileage - 847.18 * age

b. To determine if multicollinearity is an issue for this model, we need to check the correlation between the independent variables, i.e., mileage and age. The correlation can be calculated using a statistical software package or spreadsheet software such as Excel. Here is an example using R:

autoresale <- read.csv("autoresale.csv")

cor(autoresale$mileage, autoresale$age)

The correlation between mileage and age is -0.031

Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue for this model. Therefore, the answer is:

"Since the correlation between the independent variables is less than 0.5, we conclude that multicollinearity is not an issue."

learn about linear regression,

https://brainly.com/question/30401933

#SPJ11

Answer: w = 7

Step-by-step explanation:

Isolate the variables by dividing each side with the constants.

Hope this helps!

Answer:

yes

Step-by-step explanation:

to determine if (5, 7 ) is a solution substitute the x- coordinate 7 into the right side of both equations.

if the corresponding value of y for both is equal to the y- coordinate 7 then it is a solution to the system.

y = 3(5) - 8 = 15 - 8 = 7 ← equals y- coordinate

y = 2(5) - 3 = 10 - 3 = 7 ← equals y- coordinate

since both equations are true then (5, 7 ) is a solution to the system

To determine if the point (5, 7) is a solution to the system of equations y = 3x - 8 and y = 2x - 3, we can substitute the values of x and y from the point into both equations and check if they are satisfied.

Let's substitute x = 5 and y = 7 into both equations:

For the equation y = 3x - 8:

7 = 3(5) - 8

7 = 15 - 8

7 = 7

The equation is satisfied.

For the equation y = 2x - 3:

7 = 2(5) - 3

7 = 10 - 3

7 = 7

The equation is also satisfied.

Since both equations are satisfied when we substitute x = 5 and y = 7, we can conclude that (5, 7) is indeed a solution to the system of equations y = 3x - 8 and y = 2x - 3.

Answer:

3

Step-by-step explanation:

answer

use formula:

v^2 = u^2 + 2as

v = final velocity

u = initial velocity

a = acceleration

s = displacement

2.4 m/s^2 = 0 m/s^2 + 2a(18 m)

5.76 m^2/s^2 = 36a

a = 5.76 m^2/s^2 / 36 = 0.16 m/s^2

the initial acceleration of the cyclist was 0.16 m/s^2

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

Learn more about interior angles at:

https://brainly.com/question/24966296

#SPJ1

answer

the answer is 200

Answer:200

Step-by-step explanation:

Answer:

39.99 + 0.45a = 44.99 + 0.40a you're welcome (:

The statement 'For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is (X - µ0)/(σ/√n) when X is the sample mean' is true as in this case Z-test can be used.

For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is indeed (X - µ0)/(σ/√n) when X is the sample mean. This is because when the population variance is known, we use the Z-test to determine if the null hypothesis should be accepted or rejected. The Z-test statistic formula is given by Z = (X - µ0)/(σ/√n), where X is the sample mean, µ0 is the hypothesized population mean, σ is the population standard deviation, and n is the sample size.

Note: The question is incomplete. The complete question probably is: True or False: For a random sample of size 15 from a normal population with known variance, the test statistic with the null hypothesis of H0: µ = µ0 is (X - µ0/(σ/√n) when X is the sample mean.

Learn more about Test statistic:

https://brainly.com/question/4621112

#SPJ11

The solution to the differential equation is ln |y| = 4t - 4.

The given differential equation can be written as ∆y/∆t = y2(4t). This is a first-order separable differential equation, which can be solved using the separation of variables method. To do this, we first isolate the dy/dt term on one side of the equation. We can then separate the two variables (t and y) by moving all terms with t to one side and all terms with y to the other side. This gives us ∆y/y2 = 4∆t. We can then integrate both sides to find the solution.

Integrating both sides with respect to y gives us the following:

ln |y| = 4t + C,

where C is an integration constant. We can use the boundary condition to solve for C. The boundary condition states that y=8 when t=1, so substituting this into the equation above gives us ln |8| = 4 + C. Solving for C gives us C=-4.

Therefore, the solution to the differential equation is ln |y| = 4t - 4. Rearranging this equation gives us y = e4t-4, which is the solution to the differential equation.

Learn more about differential equation here:

https://brainly.com/question/14620493

#SPJ4

❄ Hi there,

\(\sf{\dfrac{1}{6}\approx0.167}\), rounded to 3 DP (decimal places)

\(\left\vert\textsf{Decimal Places = Number of digits after the decimal point}\vert\)

Why round? Because the entire number goes on for ever and ever.

So, we need to round. 1/6 rounded to 3 decimal places is 0.167. We have 3 numbers after the decimal point.

❄

We have to get the y alone. So we'll subtract 3x on both sides.

Our new expression is y<-3x+8

---

sorry if this doesn't help

The first inequality, \(y > 3x + 1\), denotes the area above the positively sloping line, \(y = 3x + 1\). The area line \(y = 3x - 3\)—which additionally has a positive slope—is represented by the second inequality, \(y < 3x - 3\).

The idea of inequality, which is the state of not feeling equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories.

Less than, larger than, fewer than or equivalent to, and more than or equivalent to are the four fundamental inequalities. Except for a particular formula for adding and subtracting, solving inequalities includes all the same processes as solving equations.

To know more about inequality visit:

https://brainly.com/question/30228778

#SPJ1

The shaded regions do not overlap, and there is no common region that satisfies both inequalities. Therefore, there are no solutions that satisfy both inequalities simultaneously.

What is inequality?

An inequality is a mathematical statement that shows the comparison between two expressions by using inequality symbols like "<", ">", "<=", or ">=". It suggests that one expression is either less than or greater than the other expression, or not equal to it.

The system of inequalities is:

y > 3x + 1

y < 3x - 3

On the coordinate plane, two solid straight lines are shown, and the regions to the left of the first line and to the right of the second line are shaded.

The first line has a positive slope and goes through (−2, −5) and (0, 1). To find the equation of this line, we can use the slope-intercept form:

y - (-5) = m(x - (-2))

y + 5 = m(x + 2)

1 - (-5) = m(0 + 2)

6 = 2m

m = 3

So, the equation of the first line is:

y + 5 = 3(x + 2)

y = 3x + 1

The second line has a positive slope and goes through (0, -3) and (1, 0). To find the equation of this line, we can use the slope-intercept form:

y - (-3) = m(x - 0)

y + 3 = mx

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

3 = m

So, the equation of the second line is:

y + 3 = 3x

y = 3x - 3

Now, we can shade the regions that satisfy each inequality:

y > 3x + 1: everything above the line y = 3x + 1 is shaded

y < 3x - 3: everything below the line y = 3x - 3 is shaded

The shaded regions do not overlap, and there is no common region that satisfies both inequalities. Therefore, there are no solutions that satisfy both inequalities simultaneously.

So, the correct answer is:

There are no solutions.

To learn more about inequality visit:

https://brainly.com/question/30238989

#SPJ1

The two general approaches are qualitative and quantitative.

Forecasting is a technique that uses past data as inputs to make future predictions by determining the direction of trends in the future.

It is an estimation methodology that uses judgment, other than numerical analysis. This type of forecasting depends upon the knowledge of most experienced employees and consultants to provide predictions for future outcomes.

It is a data-based math process that teams use to understand performance and predict future based revenue on the data and the patterns. Forecasting results gives businesses the ability to make informed decisions on strategies and processes to ensure continuous success

Learn more about Forecasting here:

https://brainly.com/question/28031685

#SPJ4

Answer:

7

Step-by-step explanation:

njshhtb jahhhdvjsjjbvgshh shhkakhgsv jjjjgfe

The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

To learn more about recursive formulas click here :

brainly.com/question/1470853

#SPJ11

Since the perimeter of the triangle is 50cm, the value of x is equal to 9 units.

In Mathematics and Geometry, the perimeter of a triangle can be calculated by using this mathematical equation:

P = a + b + c

Where:

P represents the perimeter of a triangle.

a, b, and c represents the side lengths of a triangle.

By substituting the given parameters or dimensions into the formula for the perimeter of a triangle, we have the following;

50  = x + 4 + 2x + 6 + x + 4

50 = 4x + 14

4x = 50 - 14

x = 36/4

x = 9 units.

Read more on perimeter of triangle here: brainly.com/question/27109587

#SPJ1

Hey there!

The answer is 6:54

The time on the clock shows 6:20, because the hour hand is after the 6, and the minute hand is on the 4 (which we multiply by 5 to get the minutes).

If it takes her 8 minutes to walk to the bus, 10 to pack lunch, and 16 to get dressed, that's a total of 8 + 10 + 16 minutes, or 34 minutes.

So, we add that to the minutes, so 20 + 34 = 54, therefore the time is 6:54 when she arrives.

Have a terrificly amazing day! :)

Answer:

Yanice should get up at 5:43 to be on time for the bus.

The football players get ready to go to class at 8:17 A.M.

Gymnastics is 50 minutes longer than the piano lessons.

Hope this helps ;)

Answer:

150

Step-by-step explanation:

because you have to subtract 450 - 300 to get the net force

Force F1= 450 N

Force F2 = -300 N

The net force formula is given by

FNet = F1 + F2

FNet  = 450 + (-300)

FNet  = 450-300

FNet = 150 N

Therefore, the net force is 150 N.

The minimum wage set by the government at $7.50 per hour does not result in a pay cut for unskilled workers, as it is below the equilibrium wage of $8.00 per hour.

The wage rate remains unchanged, and the labor market remains in balance.

The statement is false.

False.

The equilibrium wage in the market for unskilled labor is $8.00 per hour, which means that the market naturally sets the wage rate at this level, based on the forces of supply and demand.

The government then sets a minimum wage at $7.50 per hour.

Since the minimum wage is below the equilibrium wage, it does not directly impact the wage rate for unskilled workers.
The equilibrium wage represents the point at which the supply of labor (the number of workers willing to work at a given wage) equals the demand for labor (the number of workers that employers are willing to hire at a given wage).

In this case, both workers and employers are satisfied with the $8.00 per hour wage, and the labor market is balanced.
The government sets a minimum wage below the equilibrium wage, it essentially sets a wage floor that is not binding. Employers are still willing to pay the equilibrium wage of $8.00 per hour, and workers are still willing to accept this wage.

The wage for unskilled workers remains at $8.00 per hour, and there is no pay cut of 50 cents per hour.

For similar questions on Wages

https://brainly.com/question/29251394

#SPJ11

Answer:

Total move back spaces = 40

or

Total moves = -40

Step-by-step explanation:

Given:

Move back spaces = 5

Number of total turn = 8

Find:

Total move back spaces

Computation:

Total move back spaces = 5 x 8

Total move back spaces = 40

or

Total moves = -40