if f(x) =4x^3+3x-2 then what is the remainder when f(x) is divided by x-4

Answer: B. 9.69892 × 10^7

You'd have to move the imaginary decimal at the end of the number 96,989,200 seven times in order to get only one number that isn't zero before the decimal point.

While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Answer:

f the value of x increases then the value of the expression decreases. Therefore, if the value of x increases then the value of the expression decreases.

Step-by-step explanation:

Answer:172.72

Step-by-step explanation:

68 inches = 172.72 centimeter

How to convert inches to centimeter ?

Add 2.54 centimeters to the provided inch value to convert it to centimeters. For instance, multiply 7 by 2.54 to translate from inches to centimeters.

What is centimeter ?

The International System of Units' centimeter (SI symbol cm), sometimes known as a centimeter (international spelling) or centimeter (American spelling), is a unit of length (SI),

Exactly how big is one inch?

A yard and a foot are equivalent to an inch. A metric inch is precisely 2.54 centimeters. One whole inch is made up of two half inches and four quarter inches.

what is a inch ?

The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). It is the same as 1/36 of a yard 

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The perimeter of the garden is 46 units.

To calculate for the perimeter of the garden, we have to solve for the measures of each of the sides of the four-sided polygon. That is calculated by getting the distances between consecutive points.

The equation for the distance is:

d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)

Distance from G and A,

d = sqrt ((4 - -8)² + (8 - 3)²)

d = 13

Distance from A to R,

d = sqrt ((10 - 4)² + (0 - 8)²)

d = 10

Distance from R to D,

d = sqrt ((-2 - 10)² + (-5 - 0)²

d = 13

Distance from D to G,

d = sqrt ((-8 --2)² + (-5 -3)²)

d = 10

Summing up all the four calculated distances will give us an answer of 46.

Thus, the perimeter of the garden is 46 units.

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Answer: 46 meters.

Step-by-step explanation: I just did it on edge 2023. Hope this helps!

The perimeter of the trapezoid is 100

We would have to solve for the perimeter of the trapezoid.

The perimeter p = sum of the four sides = a + b + c+ d

from the question we have

2 (2x + 8) = 7x - 2

4x + 16 = 7x - 2

- 3x = -16 - 2

x = 6

EF = 2x + 8

= 2(6) + 8

= 12 + 8

= 20

AB = 7x - 2

= 42 - 2

= 40

AE = 1/2AC = 1/2AB = 20

BF = 1/2 CB = 1/2 AB = 20

The perimeter would be

20 + 20 + 20 + 40

= 100

The perimeter = 100

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The probability that the first card is a king and the second card is a king, given that the sampling is done without replacement, is 1/221 or approximately 0.45%.

When two cards are randomly selected from a standard 52 card deck without replacement, there are 52 possible choices for the first card and 51 possible choices for the second card. The probability of selecting a king on the first draw is 4/52, or 1/13, since there are four kings in the deck.

If a king is drawn on the first draw, there will be 51 cards remaining in the deck, including three kings. So, the probability of drawing a king on the second draw, given that a king was drawn on the first draw, is 3/51.

To find the probability of both events occurring, we multiply the probabilities:

P(First card is a king and second card is a king) = P(First card is a king) x P(Second card is a king given that the first card was a king)

P(First card is a king and second card is a king) = (4/52) x (3/51) = 1/221

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only the last figure (i.e figure e) is shaded

The shaded region is a triangle

Area of a triangle

= ½ × b × h

= ½ × 14 × 5

= ½ × 70

= 35yd²

Answer:

None because they both walked the same distance

Step-by-step explanation:

Given: 80/100 (Cathy)  and 0.8 (Alice)

divide 80 by 100 to get 0.8 for Cathy which is equal to the distance for Alice.

The property of the triangle congruence state that a ≅ B then B ≅ A are:

The triangle is a polygon that has 3 edge and vertices. Triangle is one of the basic shape in the geometric. The area of the triangle is formulated as base of the triangle * height of triangle x 0,5. The value of three triangle edge degree is 180°.

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Answer:

y=-3

Step-by-step explanation:

-3(y-5)

expands to make -3y+15

-3y+15=24

-3y=9

y=-3

Answer:

draw another segment I think. __________

Step-by-step explanation:

Answer:

coefficient is a number in front of a variable. For example, in the expression x 2-10x+25, the coefficient of the x 2 is 1 and the coefficient of the x is -10. The third term, 25, is called a constant.

The option that best describes this data set is option B: categorical and univariate.

Categorical data refers to data namely divided into distinct classifications or groups. In this case, the water usage dossier is divided into five categories established the sources of water habit in the household: toilet, washer, shower, dishwasher, and tap.

Therefore, the water usage basic document file is considered categorical as well as univariate, as it is divided into distinct classifications based on start of water usage and includes singular variable, that is water usage per day.

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Answer:

option B: categorial and univariate

Step-by-step explanation:

i took the test :)

hope this helps xx

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

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*see attachment for the dimensions of the cone given.

Answer:

7.9 in³

Step-by-step explanation:

Given:

Height of cone = 4 in.

Diameter of cone = 2¾ in

Radius (r) = ½ of 2¾ = 1.375 in

Required:

Volume of the cup

Solution:

Volume of the cup = volume of a cone

Volume of a cone = ⅓πr²h

Plug in the values of π, r and h into the formula.

Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)

p = 8 and q = 4, Nul A is a subspace of R^8 and Col A is a subspace of R^4.

We can use the rank-nullity theorem, which states that for a matrix A with m rows and n columns, the sum of the dimensions of its null space and column space equals n, i.e.,

dim(Nul A) + dim(Col A) = n.

For the given matrix A = [1 2 3 4 5 7 -5 -1 0 3 3 4], find its reduced row echelon form:

[ 1 0 -3 -2 0 0 5 1 0 0 0 0 ]

[ 0 1 2 3 0 0 -3 -1 0 0 0 0 ]

[ 0 0 0 0 1 0 2 1 0 0 0 0 ]

[ 0 0 0 0 0 1 0 1 0 0 0 0 ]

The columns of A corresponding to the pivot columns of the reduced row echelon form form a basis for the column space of A, which has dimension 4. Therefore, we have q = 4.

The columns of A corresponding to the free variables of the reduced row echelon form form a basis for the null space of A, which has dimension 8. Therefore, we have p = 8.

We have p = 8 and q = 4, such that Nul A is a subspace of R^8 and Col A is a subspace of R^4.

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Aggregate Demand (AD) is a macroeconomic concept that represents the total demand for goods and services in an economy. The X factor in the AD equation represents exports, which are an important part of the economy.

AD is calculated by adding up the individual components of demand, which include consumer spending (C), investment spending (I), government spending (G), and net exports (X-M). The X-M component represents the difference between exports (X) and imports (M).

The X component in the equation represents exports, which are the goods and services produced domestically and sold to foreign countries. Exports are an important part of the economy as they generate income and create jobs. The M component in the equation represents imports, which are the goods and services purchased from foreign countries and consumed domestically. Imports can have a negative impact on the economy as they represent a drain on resources and can lead to a trade deficit. The X factor in the equation is used to represent exports because it is a variable that can change over time. Factors that can affect exports include exchange rates, tariffs, and global demand for certain products. If the exchange rate between two currencies changes, it can make exports more or less expensive for foreign buyers, which can affect the level of exports. Tariffs are taxes on imports, which can make domestic products more competitive in foreign markets.

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Answer:

∠DEF = 31.8°

Step-by-step explanation:

∠DEF and the other angle (58.2°) are complementary.

So,

∠DEF + 58.2° = 90°

∠DEF = 90° - 58.2°

\(\rule[225]{225}{2}\)

Answer:

m∠DEF = 31.8°

Step-by-step explanation:

We have two angles that form a right angle. I'm going to call the leading arrow of the bottom line "Point G". So angles DEF and FEG form a right angle, measuring a total of 90°

To find DEF, we subtract the known angle FEG from 90° because the two angles are complementary angles.

m∠DEF = 90° - 58.2°

m∠DEF = 31.8°

Responder:

$ 555,911.5

Explicación paso a paso:

Dado

Principal = $ 545,680

Interés = 2,25%

Tiempo = 10 meses = 10/12 años

Debemos buscar la cantidad después de 10 meses.

Monto = Principal + Intereses

Interés = PRT / 100

Interés = 545,680 * 2,25 * 10/1200

Intereses = 12,277,800 / 1200

Interés = 10.231,5

Cantidad = 545,680 + 10,231.5

Cantidad = 555,911.5

por lo tanto, la cantidad después de 10 meses es $ 555,911.5

Answer:

1. a = 5, b = 8

2. d = 2

Step-by-step explanation:

1. The sum of adjacent angle is 180 degree

115 + 8b +1 = 180

8b = 180 -116

b = 8

Similarly

14a - 5 + 115 = 180

14a = 180 -110

14a = 70

a = 14

2. Intersecting diagonals divide each other into equal halves

3d + 5 = 5d + 1

2d = 4

d = 2

Answer:

18.78

Step-by-step explanation:

Just subtract

Answer:

19.5-0.72=18.78

Step-by-step explanation:

i hope this helps! i've been putting off work for a while too; i feel ya. good luck! :)

Answer:

\(20^{\circ}\)

Step-by-step explanation:

We can see here that the two unknown angles are on the straight line . So its measure will be 180° .

\(\implies (4x + 20^{\circ})+(x-15^{\circ}) = 180^{\circ} \\\\\implies 5x + 5^{\circ} = 180^{\circ} \\\\\implies 5x = 175^{\circ} \\\\\implies x =\dfrac{175^{\circ}}{5}\\\\\implies x = 35^{\circ} \)

Now the angle F and the angle (x-15)° are vertically opposite angles . So they will be equal .

\(\implies x - 15^{\circ} \\\\\implies 35^{\circ} - 15^{\circ} \\\\\implies \boxed{ 20^{\circ} } \)

An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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The solution is, the percent error of the measurement is 4.5%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

To calculate the error, we first need to subtract Christopher measurement of the line by the actual length of the line to find the absolute error:

11.1 - 10.6 = 0.5

The absolute error is 0.1 inches.

Now, to know the percent error, we need to divide this value of error by the actual length of the line:

0.5 /11.1

= 0.045

= 4.50%

= 4.5%

So the percent error of the measurement is 4.5%

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Answer:

Step-by-step explanation:

Answer: $26.24

Step-by-step explanation:

Same method

Answer:

1. the best teacher

teach from the heart ❤️

not from the book

2. a good education can change anyone.

a good teacher can change everything.

3.teaching is a work of a Heart

Answer:

about 254.47

Step-by-step explanation

Circle are equation: pi(r)^2

pi(9)^2 = 254.47

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

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