Please help! Having trouble with this question.

What is i* if i = 0?

A. 0


B. 6


C. 8


D. 9


E. none of these

Answer:

72 games in total

Step-by-step explanation:

hope this helps :)

Using percentage, we can find that there is an error of 5% in the librarian's estimate.

The denominator of a percentage, also known as a ratio or a fraction, is always 100. For instance, Sam would have received 30 points out of a possible 100 if he had received a 30% on his maths test. In ratio form, it is expressed as 30:100, and in fraction form, as 30/100. Here, "percent" or "percentage" is used to translate the percentage symbol "%." The percent symbol can always be changed to a fraction or decimal equivalent by using the phrase "divided by 100".

As per the question,

Estimated books:

For George Washington = 65

For Abraham Lincoln = 80.

Actual books:

For George Washington = 67

For Abraham Lincoln = 71.

Now total estimated books = 65 + 80 = 145

Now, total actual books =- 67 + 71 = 138.

Difference between them:

= 145 - 138

= 7

Now percent of error = 7/145 × 100

= 0.048 × 100

= 4.8

≈5%

Therefore, there is an error of 5% in the librarian's estimate.

To know more about percentage, visit:

https://brainly.com/question/24159063

#SPJ1

The confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

What is the confidence interval?

A confidence interval is a range of values that is likely to contain the true value of an unknown population parameter, such as the population mean or population proportion. It is based on a sample from the population and the level of confidence chosen by the researcher.

In general, when dealing with inferences for two population proportions, the confidence interval method and the critical value method are equivalent. These two methods provide a range of plausible values (confidence interval) for the difference between two population proportions and involve the calculation of critical values to determine the margin of error.

On the other hand, the p-value method is not equivalent to the confidence interval and critical value methods. The p-value method involves calculating the probability of observing a test statistic as extreme as, or more extreme than, the one obtained from the sample data, assuming the null hypothesis is true. It is used in hypothesis testing to determine the statistical significance of the difference between two population proportions.

To summarize:

- Confidence interval method: Provides a range of plausible values for the difference between two population proportions.

- Critical value method: Uses critical values to determine the margin of error in estimating the difference between two population proportions.

- P-value method: Determines the statistical significance of the observed difference between two population proportions based on the calculated p-value.

Hence, the confidence interval and critical value methods are equivalent in providing an interval estimate, the p-value method is used for hypothesis testing and evaluates the strength of evidence against the null hypothesis.

Learn more about the confidence interval here:

https://brainly.com/question/20309162

#SPJ4

The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

For similar question on coefficient matrix:

https://brainly.com/question/13127746

#SPJ11

Therefore, the rectangular coordinates for point P are (2.828, 2.828).

Rectangular coordinates are used to locate points on the coordinate plane. A point P can be represented using rectangular coordinates as (x, y). Let us look at an example to understand this concept better:Example:Let us consider the point P that lies on the coordinate plane.

If the point P has a distance of 4 units from the origin and an angle of 45 degrees with the positive x-axis, what are the rectangular coordinates, (x, y) for P?Solution:We know that the rectangular coordinates for a point P can be represented as (x, y).

We are given that the point P has a distance of 4 units from the origin and an angle of 45 degrees with the positive x-axis.Using this information, we can find the value of x and y.

Using trigonometry, we know that x = r cos(theta) and y = r sin(theta), where r is the distance from the origin to the point P, and theta is the angle that the line segment connecting the origin to the point P makes with the positive x-axis.In this case, r = 4 and theta = 45 degrees.Substituting these values in the formula for x and y, we get

:x = r cos(theta) = 4 cos(45) = 4 * (1/sqrt(2)) = 2.828y = r sin(theta) = 4 sin(45) = 4 * (1/sqrt(2)) = 2.828

For such more question on segment

https://brainly.com/question/280216

#SPJ8

Answer:

6

Step-by-step explanation:

6

The required equation is x + 5 = (7/2) ×  x which represents "Five more than a number is equal to seven halves of the number", where x is the number.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The given statement is that the value of x + 5 is equal to 7/2 times the value of x.

The equation could be:

x + 5 = (7/2) ×  x

Where x is the number.

You can also solve this equation by isolating the variable (x) on one side. To do this, you can subtract x from both sides, which gives you:

5 = 7/2 × x - x

Then, you can simplify the right side of the equation:

5 = 7/2 × x - x

5 = (7/2 -1) × x

5 = (5/2)x

x = 2

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

10

Step-by-step explanation:

10 is the greatest common factor that you can divide into both 40 and 50.

Answer:

10

Step-by-step explanation:

Try and find the prime factorization of 40 and 50.

40=2*2*2*5

50=2*5*5

Multiply the prime  factors that are common to both numbers.

2*5=10

Answer:

(a) $ 1191

(b) $ 1966.8

Step-by-step explanation:

Principal, P= $ 10000

Rate of interest, r = 6 % per year

time, t = 3 years = 36 months

(a) Interest per  year

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{100} \right )^{3}\\\\A = 10000 \times 1.191\\\\A = 11910.2\)

Interest is given by = $11910.2 - $10000 = $ 1910.6

(b) interest per month

The amount is given by

\(A = P \times \left ( 1+\frac{r}{100} \right )^{t}\\\\A = 10000 \times \left ( 1+\frac{6}{1200} \right )^{36}\\\\A = 10000 \times 1.1967\\\\A = 11966.8\)

Interest paid is = $ 11966.8 - $ 10000 = $ 1966.8

The terms ka, kd, P, and n in the Langmuir isotherm equation represent the adsorption rate constant, desorption rate constant, pressure, and a constant related to the adsorption process, respectively.

The Langmuir isotherm is a mathematical model that describes the adsorption behavior of a monolayer of particles on a solid surface in ultra-high vacuum (UHV) conditions. The coverage θ, which represents the fraction of the surface covered by adsorbate particles, is given by the equation θ(P) = 1 + (kd/ka)P\(^(^1^/^n^)\), where ka is the adsorption rate constant, kd is the desorption rate constant, P is the pressure of the gas in the system, and n is a constant related to the adsorption process.

The term ka represents the rate at which particles adsorb onto the surface. It is a measure of how fast the adsorption process occurs. A higher value of ka indicates a faster adsorption rate, meaning that the particles are more likely to stick to the surface.

On the other hand, kd represents the rate at which particles desorb or detach from the surface. It is a measure of how easily the adsorbed particles can be removed from the surface. A higher value of kd indicates a higher desorption rate, suggesting that the adsorbed particles are more likely to detach from the surface.

P refers to the pressure of the gas in the system. The Langmuir isotherm assumes that the adsorption process is directly proportional to the pressure of the gas. As the pressure increases, more gas molecules are available for adsorption, resulting in an increase in the coverage θ.

The parameter n is a constant that characterizes the adsorption process. It reflects the heterogeneity or uniformity of the surface and the interaction between the adsorbate particles and the surface. A value of n equal to 1 indicates a monolayer adsorption process with uniform affinity for all adsorbate particles, while values different from 1 suggest deviations from ideal behavior.

Learn more about Isotherm

brainly.com/question/33356290

#SPJ11

The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.

We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".

g^2 = 50^2 + 22^2

g^2 = 2500 + 484

g^2 = 2984

g ≈ 54.65

So the guy wire must be about 55 feet long.

The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is

50/22 = 25/11

Therefore, the slope of the guy wire is 25/11.

To know more about guy wire here

https://brainly.com/question/15504383

#SPJ4

Answer:

(0,1)

Step-by-step explanation:

The line meets the y-axis at the point (0,1)

Answer:

1116

Step-by-step explanation:

0.93(1200)

1116

Discounts are used to reduce the price of an item

The price after a 7% discount is £1116

The given parameters are:

Cost = £1200

Discount = 7%

So, the price after the discount is:

Price = Cost * (1-  Discount)

This gives

Price = £1200 * (1-  7%)

Evaluate the product

Price = £1116

Hence, the price after a 7% discount is £1116

Read more about discount at:

https://brainly.com/question/843074

Answer:

C

Step-by-step explanation:

Tangent of an angle is the opposite side over the adjacent side.

Tangent of angle beta is 8/15

In this case, we are given only a partial list of observations. To determine if the process is in control, we would need the complete set of observations to evaluate their values in relation to the control limits.

To construct a control chart and determine if the process is in control, we need to calculate the control limits using the given observations.

Let's start by calculating the average (x(bar)) and standard deviation (σ) of the observations:

Observations: 10, 3, 9, 9, 8, 4

Step 1: Calculate the average (x(bar)):

x(bar) = (10 + 3 + 9 + 9 + 8 + 4) / 6 = 43 / 6 ≈ 7.17

Step 2: Calculate the standard deviation (σ):

1. Calculate the squared deviation for each observation:

\((10 - 7.17)^2, (3 - 7.17)^2, (9 - 7.17)^2, (9 - 7.17)^2, (8 - 7.17)^2, (4 - 7.17)^2\)

= 6.9129, 18.9129, 2.5929, 2.5929, 0.6889, 10.5889

2. Calculate the average of the squared deviations:

(6.9129 + 18.9129 + 2.5929 + 2.5929 + 0.6889 + 10.5889) / 6 ≈ 7.9198

3. Calculate the square root of the average squared deviation:

σ = √(7.9198)

≈ 2.81

Now that we have the average (x(bar)) and standard deviation (σ), we can construct the control chart using two sigma limits. The control limits are calculated as follows:

Upper Control Limit (UCL) = x(bar) + (2 * σ)

Lower Control Limit (LCL) = x(bar) - (2 * σ)

UCL = 7.17 + (2 * 2.81)

≈ 12.79

LCL = 7.17 - (2 * 2.81)

≈ 1.55

Based on the control chart, if any of the observations fall above the UCL or below the LCL, it would indicate an out-of-control process.

To know  more about set visit:

brainly.com/question/30705181

#SPJ11

The saving plan is an illustration of linear equations.

In his calculations, Jerome was faultless.

The equation is represented as;

Where:

x represents the number of months

The following procedures are used to identify Jerome's mistake (s)

Given

Addition property: Add -500 to both sides

Simplify

Division property: Divide both sides by 375

Simplify

Substitution: Substitute 3500 for y

Simplify

The steps above show that: He did not make any mistake

Learn more about linear equations here:

https://brainly.com/question/28900064

#SPJ4

Sadie would need to make 97 on her next test to have an average of 90 in her math class.

In Mathematics, the average of these math test scores can be calculated by using the following formula:

Average = Sum of math test score/Number of math test scores

Note: Let the variable s represent Sadie's score on the fifth (5th) test.

By substituting the given parameters into the average test scores formula, we have the following;

Average = (77 + 100 + 92 + 84 + s)/5

Average = (353 + s)/5

Since Sadie wants to obtain an average of 90 in her 5 math class, an equation that represents this situation can be written as follows;

(353 + s)/5 = 90

By cross-multiplying, we have:

353 + s = 450

s = 450 - 353

s = 97.

Read more on mean here: brainly.com/question/9550536

#SPJ1

Answer:

im going to say c 55%

Step-by-step explanation: please let me know if its wrong so i can fix it thanks

The division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 will have a quotient of 2x³ + x² +3x -5 and a remainder of 47 using the remainder theorem.

The remainder theorem states that if a polynomial say f(x) is divided by x - a, then the remainder is f(a).

We shall divide the 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 as follows;

x⁴ divided by 3x equals 2x³

3x + 4 multiplied by 2x³ equals 6x⁴ + 8x³

subtract 6x⁴ + 8x³ from 6x⁴ + 11x³ + 13x² - 3x + 27 will give us 3x³ + 13x² - 3x + 27

3x³ divided by 3x equals x²

3x + 4 multiplied by x² equals 3x³ + 4x²

subtract 3x³ + 4x² from 3x³ + 13x² - 3x + 27 will give us 9x² - 3x + 27

9x² divided by 3x equals 3x

3x + 4 multiplied by 3x equals 9x² + 12x

subtract 9x² + 12x from 9x² - 3x + 27 will give us -15x + 27

-15x divided by 3x equals -5

3x + 4 multiplied by -5 equals -15x - 20

subtract -15x - 20 from -15x + 27 will result to a remainder of 47

using the remainder theorem, x = -4/3 from the the divisor 3x + 4

thus:

f(-4/3) = 6(-4/3)⁴ + 11(-4/3)³ + 13(-4/3)² - 3(-4/3) + 27 {putting the value -4/3 for x}

f(-4/3) = (1536/81) - (704/27) + (208/9) + (12/3) + 27

f(-4/3) = (1536 - 2112 + 1872 + 324 + 2157)/81 {simplification by taking the LCM of the denominators}

f(-4/3) = (5919 - 2112)/81

f(-4/3) = 3807/81

f(-4/3) = 47

Therefore, the quotient of after the division of 6x⁴ + 11x³ + 13x² - 3x + 27 by 3x + 4 is 2x³ + x² +3x -5 and there is the remainder of 47 using the remainder theorem.

Learn more about remainder theorem here:https://brainly.com/question/25289437

#SPJ1

Answer:

\(10 \times 3.5 = 22x\)

Step-by-step explanation:

It is given that:

Parker wishes to construct a \(\text{playhouse}\) for his sister. The width and the height of the house is not scaled to the yard space.

So the width of the play house = 22 centimeters

The height of the play house = 10 centimeters

Bu the space in the \(\text{yard is large}\) enough that a play house can be constructed so that it have a width of \(3.5\) meters.

So the cross multiplication of the proportion that parker uses to find the height of the playhouse is given by : \(10 \times 3.5 = 22x\)

Answer:

The answer is C, (10) (3.5) = 22 x

Hope this helped!

P. S. : Can I get brainliest please?

hope it help you..if it help then plz mark as brainliest

Yes, it is possible for three vectors of different magnitudes to add up to zero.

For three vectors to add up to zero, their magnitudes and directions must be carefully chosen. The vectors can have different magnitudes but must be arranged such that their sum cancels out.

To illustrate this, let's consider three vectors A, B, and C. Each vector has a different magnitude but when combined, their sum results in zero.

Let's say vector A has a magnitude of 3 units, vector B has a magnitude of 2 units, and vector C has a magnitude of 1 unit. To achieve a zero resultant vector, we can arrange these vectors in the following way:

Vector A is directed to the right with a magnitude of 3 units.

Vector B is directed to the left with a magnitude of 2 units.

Vector C is directed upwards with a magnitude of 1 unit.

By carefully choosing the directions and magnitudes, the sum of these vectors will be zero. Vector A cancels out the leftward component of vector B, and vector C cancels out the downward component of the resultant vector formed by A and B.

Therefore, it is possible for three vectors of different magnitudes to add up to zero if their directions and magnitudes are appropriately chosen to cancel each other out.

Learn more about magnitudes here

https://brainly.com/question/30576104

#SPJ11

The approximate length of the minor arc AB is given as follows:

B. 15.7 cm.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for this problem is given as follows:

r = 10 cm.

Hence the circumference for the entire circle is given as follows:

C = 2π x 10

C = 62.8 cm.

The minor arc AB has an angle of 90º, which is 90/360 = one fourth of the circle, hence the length is given as follows:

62.8/4 = 15.7 cm.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

To accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, a balance or scale with a precision of at least 0.1 g should be used.

1. Balance or scale with appropriate precision: To measure approximately 1.00 g of sodium hydroxide within a 10% margin of error, it is important to use a balance or scale that provides sufficient precision. A balance or scale with a precision of at least 0.1 g would be suitable for this purpose. Such a device would allow measurements to be made with an accuracy of 0.1 g, ensuring that the measurement of 1.00 g of sodium hydroxide falls within the desired 10% margin of error.

2. Measurement procedure: To accurately measure approximately 1.00 g of sodium hydroxide, follow these steps:

- Place a clean and dry weighing boat or container on the balance or scale.

- Tare the balance or scale to zero to subtract the weight of the weighing boat.

- Carefully add sodium hydroxide to the weighing boat until the displayed weight reaches approximately 1.00 g.

- Make small adjustments, adding or removing sodium hydroxide, to achieve the desired weight as closely as possible.

- Once the weight is stable and close to 1.00 g, record the measurement.

By using a balance or scale with an appropriate precision and following a careful measurement procedure, it is possible to accurately measure approximately 1.00 g of sodium hydroxide within a 10% margin of error.

Learn more about sodium hydroxide : brainly.com/question/10073865

#SPJ11

Answer:

The sum of all positive integers is

5 + 6 + 7 + 8 + 9 + 10

              = 45

Step-by-step explanation:

Because \(\sqrt{24} = 4.89\) and \(\sqrt{102} = 10.09\)

So positive numbers between 4.9 and 10.09 are

 5+6+7+8+9+10 = 45

Brainliest will be appreciated.

Answer:

the point -5 is the vertex on the graph because it is the y-intercept.

Step-by-step explanation:

Answer:-16

dsfgdsggsgdsgsdg

Answer:

\(x^2 - 8x + 7 = 0\)

Step-by-step explanation:

Let the boy's present age be x.

Let his dad's present name be y.

Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:

(y - 1) = 8(x - 1) ______ (1)

Now, his dad's age is the square of his age:

y = \(x^2\) _________(2)

From (1):

y = 8x - 8 + 1

y = 8x -7

Put this in (2):

\(8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0\)

This problem has been represented in the form of a quadratic equation.