What are the solutions of the equation x2-30=x

The finite population correction factor (FPC) is a factor used when the sample size is more than 5% of the population size. It corrects for the bias that can occur when taking a sample from a finite population.

Applying the FPC to the sample mean results in the standard error for the sample mean being equal to the population standard deviation divided by the square root of the sample size times the FPC.
In other words, the standard error for the sample mean is equal to:
Standard Error = Population Standard Deviation/√(Sample Size*FPC)
The FPC is calculated by taking the reciprocal of the following formula:
FPC = (N-n)/(N-1), where N is the population size and n is the sample size.
In conclusion, applying the FPC to the sample mean reduces the bias that can occur when taking a sample from a finite population, and the resulting standard error for the sample mean is equal to the population standard deviation divided by the square root of the sample size times the FPC.

For more such questions on finite population correction

https://brainly.com/question/29741435

#SPJ11

Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.

To compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.

So, the probability of passing the quiz is:

P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)

= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷

= 0.0035

Therefore, the result is c. 0.0035.

The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).

Learn more about Probability of Passing Quiz here:

https://brainly.com/question/30308932

#SPJ4

Answer:

Step-by-step explanación

0.02

When the mean number of points scored per game next season is 60, the model predicts that the mean home attendance will be 11902

The function that predicts the attendance is given as:

\(y = -7628+325.5x\)

When the mean number of points scored per game next season is 60, it means that the value of x is 60

i.e. x = 60

Substitute 60 for x in the function

So, we have:

\(y = -7628+325.5 \times 60\)

Evaluate the product

\(y = -7628+19530\)

Add -7628 and 19530

\(y = 11902\)

Hence, the model predicts that the mean home attendance will be 11902

Read more about linear functions at:

https://brainly.com/question/15602982

The coach can use this information to help determine the uniform size for each player based on their height. For example, if a player's height is 78 inches, they would need a Size Medium uniform. If a player's height is 82 inches, they would need a Size Large uniform. This correlation between height and uniform size will make it easier for the school to purchase the correct sizes for each player and ensure that they are comfortable and properly fitted in their uniforms.

The product of 56.2 and 9.2057 to the appropriate number of significant digits is 517.00.

The significant digits in a number are the digits that contribute to its precision. When multiplying numbers, the result should be rounded to the same number of significant digits as the factor with the least number of significant digits.

In this case, 56.2 has three significant digits, and 9.2057 has five significant digits. The factor with the least number of significant digits is 56.2. Therefore, the product should be rounded to three significant digits.

Multiplying 56.2 by 9.2057 gives 517.38134. Rounding this result to three significant digits gives us 517.00. The trailing zeros after the decimal point are significant in this case as they indicate the precision of the result. Hence, the correct answer is 517.00.

To learn more about significant digits refer:

https://brainly.com/question/28052368

#SPJ11

The chemiosmotic synthesis of ATP is a process that occurs in the mitochondria and involves the production of ATP through the flow of protons (H+) across a membrane. This process is driven by a proton gradient established by the electron transport chain.

During cellular respiration, electrons are passed along the electron transport chain, pumping protons from the mitochondrial matrix into the intermembrane space. This creates a proton gradient across the inner mitochondrial membrane. The protons then flow back into the matrix through ATP synthase, a complex enzyme embedded in the membrane. As the protons move through ATP synthase, their energy is used to phosphorylate ADP to ATP.

In summary, the chemiosmotic synthesis of ATP relies on the flow of protons across a membrane, driven by the electron transport chain. This process enables the coupling of electron transfer with ATP synthesis, providing cells with the energy currency required for various biological processes.

Learn more about chemiosmotic  here

brainly.com/question/14994444

#SPJ11

Which of the following statements accurately describes the chemiosmotic synthesis of ATP?

to solve for surface area find the area of all sides and add them together, start with the the triangles. Half of 10 is 5 so do 5x14 to get 70, since this is a triangle you would half it but because we only solved one side of the triangle we would keep 70 for the combined area of both. Now multiply 70 by 4 since there are 4 sides of the triangle and get 280. To find the bottom do 10x10 to get 100 and add that to 280. The total surface area should be 380in squared

Answer:

380

Step-by-step explanation:

s= B + 1/2 P (slant height)

B is area of base which is 10x10 which is 100

P is perimeter of base which is 10+10+10+10 = 40

100+1/2 (40)(14)

100+ 20(14)

100+280 = 380

There are 2 dimes in the purse that contains $2.20

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

Let quarters be = x

The dimes be = 1/4 * x

25x+10x/4 = 220

(100x + 10x) /4 = 220

110x/4 = 220

110x = 220*4

110x = 880

x = 880/110

x = 8

The dimes be = 1/4 * x

The dimes be = 1/4 * 8

The dimes be = 2

Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607

#SPJ4

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

Learn more about unit conversions

brainly.com/question/28600662

#SPJ11

Answer:

um15

Step-by-step explanation:

when it add and subtract is 15

Given the equation:

8x + 7y = -50

We will check the options to find which order pair is the solution of the equation

Point (-6 , -1)

8 * -6 + 7 * -1 = -48 - 7 = -55 ≠ -50

Point ( 0 , -6)

8 * 0 + 7 * - 6 = -42 ≠ -50

Point (-6, 0 )

8 * - 6 + 7 * 0 = -48 ≠ -50

Point (-1 , -6)

8 * -1 + 7 * -6 = -8 - 42 = -50

so, the order pair which is a solution for the equation is (-1 , -6 )

=====================================================

Explanation:

The triangular face has area of base*height/2 = 4*10/2 = 40/2 = 20 square cm.

Multiply this prism base area by the depth of the prism to get 20*2 = 40 cubic cm.

It might help to place the triangular prism so the triangular face is along the ground, so you can think of that face as the floor of this triangular room. The volume of this room is equal to the floor area times the height of the room.

volume of the room = (floor area)*(height of the room)

volume of the prism = (base area)*(height of the prism)

For any prism, the base faces are always parallel and congruent to each other.

Answer:

The key features needed to determine if these two linear functions intersect would be their y-intercept and their slopes. We need this information because it would allow us to graph these two linear functions, and if we can graph them, we can see if these lines intersect. 

Step-by-step explanation:

Took the "quiz"

(Please mark Brainliest)

Answer:

$20-$18=$2 discount

2/20×100%=10% discount

Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

Read more on function here: brainly.com/question/3632175

#SPJ1

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

The slope of the line passing through (1, 4) and (3, 2) is -1. Therefore, the simplified slope of item number 1 is -1,so the correct option is (b).

The slope of a line, which measures how steep it is, is calculated by dividing the change in the y-axis (vertical direction) by the change in the x-axis (horizontal direction) between any two points on the line.

Now, we shall solve the question by  two-point formula method:-

1. (1, 4) and (3,2)

Slope = (y2 - y1) / (x2 - x1) = (2 - 4) / (3 - 1) = -2/2 = -1

2. (2,5) and (4,-7)

Slope = (y2 - y1) / (x2 - x1) = (-7 - 5) / (4 - 2) = -12/2 = -6

Therefore, the slope of the line passing through (2,5) and (4,-7) is -6.

3. (-5, 3) and (2,7)

Slope = (y2 - y1) / (x2 - x1) = (7 - 3) / (2 - (-5)) = 4/7

Therefore, the slope of the line passing through (-5, 3) and (2,7) is 4/7.

4. (3,-4) and (-2, 8)

Slope = (y2 - y1) / (x2 - x1) = (8 - (-4)) / (-2 - 3) = 12/(-5) = -2.4

Therefore, the slope of the line passing through (3,-4) and (-2, 8) is -2.4.

To know more about points visit:

https://brainly.com/question/1590669

#SPJ1

Answer:

  $918.86

Step-by-step explanation:

You want the value of an account in which $800 is invested for 5 years earning interest of 2.78% compounded quarterly.

The account value is given by the formula ...

  A = P(1 +r/n)^(nt)

where P is the principal amount, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.

  A = $800(1 +0.0278/4)^(4·5) ≈ $918.86

The value of the account after 5 years is $918.86.

The Complete is showing the length of the fence and the cost.

Length of fencing  4  6      7    9  10

Cost:                       36 54  63 81  90

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Length of fencing  4  6  7  x  10

Cost:                       36 y z 81 w

Now, Using proportion

4/ 36 = 6/y

4y = 36(6)

y = 54

and, 4/36 = 7/z

4z = 36 (7)

z = 63

and, 4/36 = x /81

x = 9

and, 4/36 = 10/w

360 = 4w

w= 90

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ1

Answer:

295.936

Step-by-step explanation:

First find out what 544^2 is.  That is 295,936.  There are 100 ml in 1 liter.  So divide 295,936 by 100 to see how many liters are in 295,936 ml.  

295,936÷100=295.936

Answer:

B. x-1/15x

Step-by-step explanation:

Answer:

The answer to this question would be B. x-1/15x

Step-by-step explanation:Hope that this helps:)

Answer:

distance: 7.81 miles

Explanation:

simply use distance formula:  \(\sf \sqrt{(y_2 -y_1)^2 + (x_2-x_1)^2}\)

using the equation:

\(\hookrightarrow \sf \sqrt{(8-3)^2+(10-4)^2}\)

\(\hookrightarrow \sf \sqrt{(5)^2+(6)^2}\)

\(\hookrightarrow \sf \sqrt{25+36}\)

\(\hookrightarrow \sf \sqrt{61}\)

\(\hookrightarrow \sf 7.81 \ miles\)

The probability of choosing a 5 and then a 6 is 1/49

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

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

The true population mean is (222.52, 227.48) with a 95% confidence interval.

The critical factor for a 90% confidence interval for the true population mean is given by;

Critical factor = (x-μ)/(s/√n)

where, x = sample mean repair cost

s =  standard deviation of a sample

n = sample of stereos

μ  = critical value

⇒ P(-1.96< (x-μ)/(s/√n) < 1.96) = 0.95

⇒ P(-1.96×(s/√n) < (x-μ) < 1.96×(s/√n)) = 0.95

⇒ P(x - 1.96×(s/√n) < μ < x + 1.96×(s/√n)) = 0.95

95% confidence interval for

⇒ μ = (x - 1.96×(s/√n) , x + 1.96×(s/√n))

Here, x = 225, s  = 8.5, and n = 45

⇒ μ = (225- 1.96×(10.81/√13) , 225+ 1.96×(10.81/√13))

⇒ μ = (222.52, 227.48)

Hence, the true population mean is (222.52, 227.48) with a 95% confidence interval.

Learn more about the critical value here:

brainly.com/question/15417413

#SPJ4

The question seems to be incomplete the correct question would be

Calculate the 95% confidence interval for the true population mean based on a sample with x=225, s=8.5, and n=45.

To solve this problem both units must have the same units.

So, let's convert quarts to gallons

1 quart ----------------------- 0.25 gallon

34 quarts -------------------- x

x = (34 x 0.25) / 1

x = 8.5 gallons

8.5 gallons or 34 quarts > 8 gallons

Answer:

12, 14

Step-by-step explanation:

Let x = smaller positive even integer.

Then x + 2 is the next greater even integer.

Add the squares of the numbers.

x² + (x + 2)²

Set the sum equal to 340.

x² + (x + 2)² = 340

x² + x² + 4x + 4 = 340

2x² + 4x - 336 = 0

x² + 2x - 168 = 0

We need to factor the left side. We need 2 factors of -168 that add to 2.

168 = 2³ × 3 × 7

2² × 3 = 12

2 × 7 = 14

14 × (-12) = -168

14 + (-12) = 2

The factors are 14 and -12.

x² + 2x - 168 = 0

(x - 12)(x + 14) = 0

x - 12 = 0  or  x + 14 = 0

x = 12  or  x = -14

x = 12

x + 2 = 12 + 2 = 14

Answer: 12, 14

The height of the building is 71 meters.

We can solve this problem using the similar triangles. The height of the building can be determined by setting up the following proportion:

(the height of pole) / (length of pole's shadow) = (height of building) / (length of building's shadow)

Substituting the given values:

2.8 / 1.49 = (height of building) / 37.5

To find the height of the building, we can cross-multiply and solve for it:

(2.8 * 37.5) / 1.49 = height of building

Calculating the expression on the right side:

(2.8 * 37.5) / 1.49 ≈ 70.7013

Rounding to the nearest meter, the height of the building is approximately 71 meters.

Learn more about heigth building at https://brainly.com/question/7289008

#SPJ11

Using the provided data, We should consider the mid-value for the number of students and take the average of percentage to find the estimate number, The answer is 168.

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It is used to make decisions, predictions and gain knowledge from data. It involves using statistical methods to collect, summarize, and draw conclusions from data. It is used in various fields such as business, economics, social science, engineering, and medicine. It helps to make sense of complex data and make informed decisions.

In statistics, an estimate is a value that is calculated from a sample of data in order to approximate a population parameter. The most common examples of estimates are sample mean, sample proportion, sample standard deviation, and sample variance. These estimates are used to infer information about the population from which the sample was drawn. For example, an estimate of the population mean is calculated by taking the average of a sample of data and using that value to infer the value of the population mean.

mid-value of 500-600 = 550

average % = 30.5%

Athletes number = 30.5% of 550

=168

To learn more about estimates visit:

https://brainly.com/question/28338974

#SPJ4

Answer:

Step-by-step explanation:

Mean income of 99 people = $ 400

Sum of income of 99 people = 400 * 99 = $ 39600

Income of a woman = $ 1500

Income of 100 people = 39600 + 1500 = $41100

Mean of 100 people = 41100/100 = $411

411 - 400 = $11

Mean income increases by $11