If correct brainlist

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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221 degree is the direction of B to the nearest degree.

We have to find the vector B. We will substructure Equations

-9i - 8j - 5i - 4j = -14i -12j

                       = 2(-7i-6j)

From here you get the value of vector B. That is minus seven i and minus of six j. Now we can see that this is both. The signs are negative so it should lie in 3rd chord event.

And for third quarter went in their direction or we can say Angelo factor B is want A D. Plus theater. So when I. D. Plus and universal marvelous of -6 divided by -7 that provides us one or d. plus 41 degree. That is 221 degree.

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Answer:

It is a 67% decrease

Step-by-step explanation:

First subtract the new amount from the old one

\(15-5=10\)

Then divide the difference by the original amount.

\(10/15-0.67\)

Move the decimal point over two spots (multiply by 100) to get your percentage.

0.67=67%

So on solving the provided question we can say  that 3x³ is a polynomial as it have exponential power

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

here,

3x³ is a polynomial

as it have exponential power

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Answer:

x=10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

Answer:

An equation in the form y = mx + b is in the 'slope y-intercept' form where m is the slope and b is the y-intercept. We can rewrite our equation, y = 4, in slope y-intercept form as follows: y = 0x + 4. Here, it is clear that the slope, or m, is zero. Therefore, the slope of the horizontal line y = 4 is zero

The expression showing the prime factorization of 48 is 2×2×2×2×3, making the second option the right choice.

A prime number is any number that is divisible by only two numbers, and the two numbers are 1 and itself.

The prime factorization of any number is the number written as the product of only prime numbers.

In the question, we are asked to identify the expression, that shows the prime factorization of 48.

Thus, the expression showing the prime factorization of 48 is 2×2×2×2×3, making the second option the right choice.

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Answer:

0.245 ; 0.76 ; 0.669  

Step-by-step explanation:

  Occupations                 S&E      Non S &E       Total {Gender wise}

  Women                           76             424               500

 Men                                 169            331               500

Total {occupation wise}      245            755             1000 [Grand Total]

1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245

2) Prob (woman & works in S & E) , ie P (W ⋂ S) =  Total women in S & E / Total people  =  76 /  100 = 0.76

3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669

The probability that a randomly selected person works in an S&E occupation is 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.

The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745

Probability determines the odds that an event would happen.

The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)

500 / 1000 x (245 / 1000) = 0.12

The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)

= 500 / 1000 + (245 / 1000) = 0.745

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Answer: (y+3)=−23(x+3)

Step-by-step explanation:

slope = (y2 - y1 ) / (x2 - x1)

(-5 +3)/0+3)

-2/3

y = -2/3x + b

b = y-intercept

(y + 3)=−23(x +3)

(y+3)=−23(x+3)

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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The data collected from the customers in restaurants about the quality of food is an example of a(n); Observational Study

There are four types of statistical studies namely;

Observational studies

Surveys

Experiments

Meta-analytical studies.

1) An observational study involves observing and recording data on some variable(s) of interest.

2) A (sample) survey uses questioning to gather data.

3) An experiment also referred to as experimental study attempts to give an answer to a statistical question by manipulating all or part of the sample.

Now, we are told that some data was collected from the customers in restaurants about the quality of food.

This is a type of observational study because it involves observing and recording data on an interest which is quality of food

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Homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The homogeneity of variance assumption assumes that the two populations have equal variances. Therefore, the correct answer is option c, "The two populations have equal variances."

This assumption is often made in statistical tests that compare the means of two groups, such as the t-test.

When the variances of the two populations are equal, it allows for more precise estimates of the standard error and can improve the accuracy of the test results.

However, if the variances are not equal, it can lead to biased and unreliable results.

In such cases, alternative methods, such as Welch's t-test or the Brown-Forsythe test, can be used to adjust for unequal variances.

Hence, homogeneity of variance assumption assumes that the two populations have equal variances, so the correct answer is option c, "The two populations have equal variances.

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Answer:

yes

Step-by-step explanation:

If a is directly proportional to m and n, and inversely proportional to y, we can express this relationship mathematically as:

a ∝ m * n / yy.

when m = 4, n = 4, and y = 5, a is equal to 3.2.

If a is directly proportional to m and n, and inversely proportional to y, we can express this relationship mathematically as:

a ∝ m * n / yy

where ∝ means "is proportional to". We can introduce a constant of proportionality, k, such that:

a = k * m * n / y

To find the value of k, we can use the initial conditions:

a = 9 when m = 16, n = 9, and y = 3

Substituting these values, we get:

9 = k * 16 * 9 / 3

Simplifying, we get:

k = 1

Therefore, the relationship between a, m, n, and y is:

a = m * n / y

To find a when m = 4, n = 4, and y = 5, we can substitute these values into the equation:

a = 4 * 4 / 5

Simplifying, we get:

a = 3.2

Therefore, when m = 4, n = 4, and y = 5, a is equal to 3.2.

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Answer:

n =55/18

Step-by-step explanation:

18/11 = 5/n

Using cross products

18n = 11*5

18n = 55

Divide each side by 18

18n/18 = 55/18

n =55/18

Answer:

55/18

Step-by-step explanation:

Cross multiplying, we get:

18n = 11 * 5

18n = 55

= 55/18

= 55/18

Hope this helps!

Answer:

(0,-7)

Step-by-step explanation:

Factor out the x^2 and the 7x.

x(x+7)

Do the zero factor

x = 0

x = -7

Answer:

259.8

Step-by-step explanation:

9514 1404 393

Answer:

  C, B, D

Step-by-step explanation:

We can estimate the relative lengths of the segments using the difference of their coordinates:

  BC = (2-0, -5-6) = (2, -11)

  CD = (-8-2, -1-(-5)) = (-10, 4)

  DB = (0-(-8), 6-(-1)) = (8, 7)

Then the lengths of the segments will be ...

  BC = √(2^2 +11^2) = √125

  CD = √(10^2 +4^2) = √116

  DB = √(8^2 +7^2) = √113

DB is the shortest segment, so opposite the smallest angle, C.

The next-shortest segment is CD, opposite angle B.

The longest segment is BC, opposite angle D.

In order from least measure to greatest, the angles are C, B, D.

Answer:

3 / 4

Step-by-step explanation:

9 = 3 x 3

12 = 3 x 4

9 / 12

= ( 3 x 3 ) / ( 3 x 4 )

= 3 / 4

Answer:

3/4

Step-by-step explanation:

9= 3×3

12= 3×4

9/12

= (3×3) / (3×4)

= 3/4

For the given function f(x), x-intercepts are 1,2 and 6 and the y-intercept is -12

Given :

\(f(x) = x^{3} -9x^{2} +20x -12 \\\)

One of the factors of f(x) is (x-6)

Dividing f(x) by (x-6), we get :
\(\frac{x^{3} -9x^{2} +20x -12 \\}{x-6} = x^{2} -3x +2\)

Now expanding, \(x^{2} -3x +2\)

\(x^{2} -3x +2 = x^{2} -2x -x +2 =x(x-2) -(x-2) = (x-2)(x-1)\)

Hence, \(x^{3} -9x^{2} +20x -12 = (x-6)(x-1)(x-2)\)

For x-intercept, f(x) = 0 . Then

(x-6)(x-1)(x-2) =0

x = 1,2 and 6

For y-intercept, x=0 in f(x)

f(0) = -12

Hence, the x-intercepts are 1,2, and 6 and the y-intercept is -12.

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Answer:

It would be 0.09

Step-by-step explanation:

First, note the original Probability for picking a blue marble in the first try:

0.3

Now, if this were to happen again, knowing that no marbles would be taken out, it would be another chance of 0.3 for Aron to pick up a blue marble on his second pick up.

Due to these being independent events, you can do:

0.3*0.3 = 0.09

To get your answer, 0.09.

Answer:

27/90 = 3/10

Step-by-step explanation:

Calculate the probability that neither is blue

7/10 * 6 / 9

63/90

Now the remainder of the choices are what the probability is when both are blue

1 - 63 / 90

27/90 is the probability of choosing 2 blues.

Answer   70

Step-by-step explanation:

A trinomial is a polynomial with three terms that has a leading coefficient of 3 and a constant term of -5 is

3m²+m-5

Here the degree of the trinomial is 2, so the leading coefficient is the coefficient of the term with m², which is 3.

The constant term is the term without a variable, which is -5

To find the coefficient of middle term of the trinomial, formula is:

coefficient of middle term =

(sum of the coefficients of the first and last terms)

                                    2

The sum of the coefficients of the first and last terms is 3 - 5 = -2.

Dividing by 2, we get -1 as the coefficient of the middle term.

Putting all of this together, we can write the trinomial as:                     3m² +m - 5

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Mode is the number that occurs the most so here the mode is 56

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

80 minutes

Step-by-step explanation:

1/12 + 1/24 = 3/24

24/3 = 8 min

8 × 10 = 80