A person has 8 friends, of whom 5 will be invited to a party. how many choices are there if 2 of the friends are feuding and will not attend together?

In the situation, if you took another sample of 157 students and asked them for measurements of thumb and height, it is unlikely that you would get the exact same F ratio.

The F ratio is a statistical value that compares the variance between groups to the variance within groups. Here's why it might be different:

1. Sampling variability: Since you are taking another sample of 157 students, there is a chance that the measurements will be slightly different from the original sample. The new sample might have students with different thumb lengths and heights, which could lead to different variances and thus a different F ratio.

2. Measurement errors: Even if the actual relationship between thumb length and height remains constant, the process of measuring these variables can introduce errors. Errors in measurement can cause discrepancies in the data, leading to a different F ratio.

3. Population diversity: If the new sample is drawn from a different population, there could be differences in the relationship between thumb length and height in that population. This would also result in a different F ratio.

To summarize, while it is possible to get a similar F ratio in a new sample, it is unlikely that the F ratio would be exactly the same due to sampling variability, measurement errors, and potential population differences.

Learn more about Measurement errors here:

brainly.com/question/28109798

#SPJ11

The values into the derivative function is

- F'(1) = -21(1)^2 - 6 = -21 - 6 = -27

- F'(2) = -21(2)^2 - 6 = -21(4) - 6 = -84 - 6 = -90

- F'(3) = -21(3)^2 - 6 = -21(9) - 6 = -189 - 6 = -195

Simplifying the answer, we find that the derivative of S(x) = 7x - 9 is simply 7. Therefore, S'(x) = 7.

To find S'(1), S'(2), and S'(3), we substitute the respective values into the derivative function:

- S'(1) = 7

- S'(2) = 7

- S'(3) = 7

Now let's move on to finding R'(x) and the corresponding values of R'(1), R'(2), and R'(3).

**R'(x) = 6x.**

Using the four-step process to find the derivative of R(x) = 9 + 3x^2, we differentiate term by term. The derivative of 9 is 0, and the derivative of 3x^2 is 6x. Thus, R'(x) = 6x.

Substituting the values into the derivative function, we get:

- R'(1) = 6(1) = 6

- R'(2) = 6(2) = 12

- R'(3) = 6(3) = 18

Finally, let's determine F'(x) and the values of F'(1), F'(2), and F'(3).

**F'(x) = -21x^2 - 6.**

Using the four-step process to find the derivative of F(x) = -7t^3 - 6t + 8, we differentiate term by term. The derivative of -7t^3 is -21t^2, and the derivative of -6t is -6. The derivative of the constant term 8 is 0. Thus, F'(x) = -21x^2 - 6.

Substituting the values into the derivative function, we get:

- F'(1) = -21(1)^2 - 6 = -21 - 6 = -27

- F'(2) = -21(2)^2 - 6 = -21(4) - 6 = -84 - 6 = -90

- F'(3) = -21(3)^2 - 6 = -21(9) - 6 = -189 - 6 = -195

By following the four-step process, we obtain the derivatives and the corresponding values as requested.

Learn more about derivative here

https://brainly.com/question/31136431

#SPJ11

Answer:

k f78iiujyhtgrf

Step-by-step explanation:

Step-by-step explanation:

let length of the pool be l feet and width be w feet.

l = 2w + 1 --(1)

2(l + w) = 74 --(2)

sub (1) into (2):

2(2w + 1 + w) = 74

6w = 72

w = 12

therefore, length is 25feet and width is 12feet

Topic: Simultaneous eqn

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

9514 1404 393

Answer:

Step-by-step explanation:

The angles share a ray as well as a vertex. So, they are adjacent.

The two angles have a sum of 90°, so ...

  4x° + 2x° = 90°

  6x = 90 . . . . . . . . collect terms

  x = 15 . . . . . . . . . . divide by 6

Answer:

34.2° C

Step-by-step explanation:

12 + 8.4 + 13.8 =

= 20.4 + 13.8

= 34.2

Answer:

hello

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(1) \frac{tan A + Sin A}{tan A - Sin A}=\frac{\frac{sin A}{cos A}+sinA}{\frac{sinA}{cos A}-sin A}\\\\=\frac{\frac{sin A + Sin A CosA}{Cos A}}{\frac{sinA-sinAcosA}{cosA}}\\\\=\frac{sin A + Sin A CosA}{Cos A}*\frac{cosA}{sinA-sinAcosA}\\\\=\frac{sinA+sinAcosA}{sinA-sinAcosA}\\\\=\frac{sinA(1+cosA)}{SinA(1-cosA)}\\\\\frac{1+cosA}{1-cosA}\\\\=\frac{1+\frac{1}{secA}}{1-\frac{1}{secA}}\\\\=\frac{\frac{secA+1}{secA}}{\frac{secA-1}{secA}}\\\\=\frac{secA+1}{secA-1}\)

The data types for the given examples are as follows:Time-series data,Cross-section data,Pooled cross sections data,Panel data,Time-series data respectively.

The data on daily new cases of COVID-19 and hospital admissions in New York City from March 1, 2021, to April 29, 2022, represents time-series data. It consists of observations recorded over time at regular intervals, tracking the changes in the variables over the specified period.

The data on the opening and closing prices for each of the S&P 500 companies on August 9, 2022, represents cross-section data. It captures a snapshot of the variables at a specific point in time, providing information on different entities (in this case, the S&P 500 companies) simultaneously.

The annual data on the county government's expenditures for all 67 counties in Florida from Fiscal Years 2006 through 2020 represents pooled cross sections data. It combines data from different cross-sectional units (counties) for each year, allowing for comparisons across counties and over time.

The monthly data on the median number of days property listings spend on the market and the median listing price in Texas from February 2016 to July 2022 represents panel data. It includes observations of the variables over time for a specific geographical unit (Texas), enabling analysis of both time-series patterns and cross-sectional differences.

The annual data on the birth rate in OECD countries over a 10-year period represents time-series data. It tracks the birth rates across multiple countries over time, allowing for the analysis of trends and patterns in birth rates within the specified timeframe.

Learn more about cross sections here:

https://brainly.com/question/13029309

#SPJ11

Answer:

4x+3y=12

Step-by-step explanation:

y=mx+b

m=-4/3,b=4

y=mx+b

y=-4/3x+4

3(y=-4/3x+4)

3y=-4x+12

4x+3y=12

please rate it,thanks.

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

\(\huge \boxed{g=\frac{x-2}{3} }\)

Answer:

\(g=\frac{x-2}{3}\)

Step-by-step explanation:

Hi there!

\(x=3g+2\)

We can make g the subject by using inverse operations to cancel values out. For example, 2 is being added to 3g. To move it, we can subtract 2 from both sides:

\(x-2=3g+2-2\\x-2=3g\)

Now, to move the 3, divide both sides by 3:

\(\frac{x-2}{3}=\frac{3g}{3} \\\frac{x-2}{3}=g\)

I hope this helps!

Answer:

Step-by-step explanation:

9 times

6,7,8,9 (4 times starting at 5)

Answer: 1.25

Step-by-step explanation:

you divide/combine 5 and 4 to get Ur anwser 1.25.  Yet it's the same thing as asking ,"How much is 5 divided by 4?" just think of it to yourself as how many times you can fit 4 into 5. One tip you can use is 4(x) = 5 and x will equal 1.25.

The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

To know more about direct labor:

https://brainly.com/question/13126873

#SPJ4

Answer:

B. s = 24t

Step-by-step explanation:

Since s varies directly with t, therefore, equation that will represent the relationship would take the form of s = my

m = rate of change

✔️Find the rate of change:

Rate of change using two given pairs, (0.5, 12) and (2.5, 60),

Rate of change (m) = ∆s/∆t = (60 - 12)/(2.5 - 0.5) = 48/2 = 24

✔️Substitute m = 24 into s = mt

s = 24t

Answer:

5/13

Step-by-step explanation:

Cos = opp/hyp

5 is opposite of angle R and 13 is the hypotenuse.

Answer:

hyygyggygggygy

Step-by-step explanation:

tytyuhuhu787.

Step-by-step explanation:

1. -5(a - 9) = -5a + 45

2. \(\frac{-8.3-(+2.7)}{\frac{1}{5} } = \frac{-8.3-2.7}{0.2} =\frac{-11}{0.2}=-55\)

3.13p + 13 - p = (13p - p) + 13 = 12p + 13

4. -11b - 3(-4b + 1) = -11b + 12b - 3 = b - 3

5.

\(-2n+\frac{1}{6}-4\frac{1}{2}n = (-2n-4\frac{1}{2}n)+\frac{1}{6} = [-\frac{4}{2} n-(\frac{8}{2}+\frac{1}{2} )n]+\frac{1}{6} = -\frac{4}{2} n- \frac{9}{2} n+\frac{1}{6} =-\frac{13}{2}n\\+ \frac{1}{6}\)

6. It didn't show all the information on the question.

7. \(-\frac{3}{5}(20r-5)-(-6r) =-12r+3+6r = (-12r+6r)+3=-6r+3\)

8. \(-\frac{5}{6}x+\frac{4}{9}+\frac{2}{3}x+\frac{1}{3}=(-\frac{5}{6}x+\frac{2}{3}x)+(\frac{4}{9}+\frac{1}{3})=(-\frac{5}{6}x+\frac{4}{6}x)+(\frac{4}{9}+\frac{3}{9})=-\frac{1}{6}x+\frac{7}{9}\)

9.It didn't show all the information on the question.

1. (4a - 5)+(3a + 6) = 7a + 1.
To solve, you simply combine the like terms (4a and 3a) to get 7a, and then combine the constants (-5 and 6) to get 1.

2. (6x + 9)+ (4x^2 - 7) = 4x^2 + 6x + 2.
To solve, you combine the like terms (6x and 4x^2) to get 4x^2 + 6x, and then combine the constants (9 and -7) to get 2.

3. (6xy + 2y + 6x) + (4xy - x) = 10xy + 2y + 6x - x = 10xy + 2y + 5x.
To solve, you combine the like terms (6xy and 4xy) to get 10xy, then combine the constants (2y and -x) to get 2y - x, and finally combine the like terms (6x and 5x) to get 11x. The final answer is 10xy + 2y + 5x.

Know more about constants  here:

https://brainly.com/question/27983400

#SPJ11

Answer: 20%

Step-by-step explanation:

The solution of the system is (x,y) = (-1,5).

What is linear equation ?
A linear equation is an equation of a straight line in two variables, typically x and y. It can be written in the form:

y = mx + b

where m is the slope (or gradient) of the line, and b is the y-intercept, which is the point where the line intersects the y-axis.

According to question:
We are given the system of equations:

4x - 2y = -14 (1)

3x - y = -8 (2)

We can solve this system using any method such as elimination, substitution, or matrices. Here, we will use the substitution method.

From equation (2), we can express y in terms of x as:

y = 3x + 8 (3)

Now we substitute equation (3) into equation (1) and solve for x:

4x - 2(3x + 8) = -14

4x - 6x - 16 = -14

-2x = 2

x = -1

Now, we substitute x = -1 into equation (3) to find y:

y = 3(-1) + 8

y = 5

Therefore, the solution of the system of equations is x = -1 and y = 5. We can check the solution by verifying that it satisfies both equations:

4(-1) - 2(5) = -14 (satisfied)

3(-1) - 5 = -8 (satisfied)

Hence, the solution of the system is (x, y) = (-1, 5).

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

Given :

Chicken costs $3.20 per pound, and beef costs $4.59 per pound.

To Find :

When purchasing 3 pounds, which meat is more expensive and by how much.

Solution :

Price of 3-pound chicken.

Price of 3-pound beef.

Now, the difference in price :

P = $13.77 - $9.6 = $4.17 .

Therefore, beef is more expensive than chicken by $4.17 .

Hence, this is the required solution.

Answer:

if a pound of beef cost 4.59 we multiply this by 3 and get 13.77 the price of 3 pounds, if we do the same for chicken and multiply 3.20 by 3 we get 9.60

13.77-9.60=4.17

3 pounds of beef is $4.17 more than 3 pounds of chicken

In the context described, increases in snow levels are represented by positive numbers, while decreases in snow levels are represented by negative numbers.

Positive numbers are used to indicate upward or increasing quantities. Therefore, when snow levels rise or increase, they are recorded with positive numbers. This convention allows for a consistent and intuitive representation of data, where higher values correspond to larger amounts of snow. It simplifies comparisons and calculations, as positive numbers can be directly added or compared to determine the extent of the increase.

Conversely, negative numbers are used to denote downward or decreasing quantities. When snow levels decrease, they are recorded with negative numbers. This convention helps to maintain consistency in representing the direction and magnitude of changes in snow levels. It enables easy identification and distinction between increases (positive numbers) and decreases (negative numbers), facilitating the analysis of snowfall patterns over time.

By adopting this convention, researchers, meteorologists, and other professionals working with snowfall data can effectively communicate and interpret changes in snow levels using a standardized and easily understandable format.

Learn more about positive numbers here:

brainly.com/question/17887499

#SPJ11

PQR = 150°

Hi there !

PQR = PQS + SQR

12x - 6 = 16 + 9x + 17

12x - 9x = 16 + 17 + 6

3x = 39

x = 13

PQR = (12×13 - 6)° = (156 - 6)° = 150°

Good luck !

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

Answer:

\(\huge\boxed{A.\ f^{-1}(x)=\dfrac{x-3}{5}}\)

Step-by-step explanation:

\(f(x)=5x+3\to y=5x+3\\\\\text{exchange}\ x\ \text{with}\ y\\\\5y+3=x\\\\\text{solve for}\ y\\\\5y+3=x\qquad|\text{subtract 3 from both sides}\\\\5y+3-3=x-3\\\\5y=x-3\qquad|\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup y}{5\!\!\!\!\diagup}=\dfrac{x-3}{5}\\\\y=\dfrac{x-3}{5}\to f^{-1}(x)=\dfrac{x-3}{5}\)

Considering the definition of an equation and the way to solve it, your age is 12 years old.

Equation is called the mathematical equality that exists between two expressions, made up of different elements, both known (data) and unknown (unknowns), which are related through mathematical numerical operations.

When any of the values of the variables of the equation fulfills the equality, this situation will be called as an equation solution. To solve an equation, keep in mind:

Being "y" the you age, and knowing that:

the equation in this case is:

10= 1/3y + 6

Solving:

10 -6= 1/3y

4= 1/3y

4 ÷ 1/3= y

12= y

Finally, you find that your age is 12 years old.

Learn more about equations:

brainly.com/question/2453121

brainly.com/question/4983716

brainly.com/question/13314678

#SPJ1