si 3 es divisor de 12 se tiene que 12 es multiplo de 3​

The polynomial to be subtracted is derived from the multiplication of the first term of the quotient and is given as: x³ + 2x²

Polynomials are mathematical expressions consisting of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division.

The long division is as follows:

(x³ + 3x² + x) ÷ x + 2

The first quotient will be x².

Multiplying (x + 2) and x² gives the polynomial to be subtracted from the dividend.

(x + 2)×(x²) = x³ + 2x²

Therefore, the polynomial to be subtracted is x³ + 2x².

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Answer:c

Step-by-step explanation:

just did it

The value of SS for this population cannot be determined with the given information.

The sum of squares (SS) for a population is calculated by summing the squared differences between each individual score and the population mean.

However, the given information provides the population standard deviation (σx = 12) and the population variance (σx^2 = 54), but it does not provide the population mean (μ).

Without the population mean, we cannot accurately calculate the value of SS. Therefore, the value of SS for this population cannot be determined based on the given information.

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a) The graph of the ANOVA test is illustrated below.

b) The relationship between identification and empathy for

i)  Students who played neutral games is 0.328

ii. Students who played Half-Life is 0.035

iii. Students who played GTA is 0.149

Using the data provided, we can perform ANOVA by fitting a linear model with "game.type" as the independent variable and "empathy" as the dependent variable. We can then use the "anova" function in R to perform the ANOVA test. The results show that the p-value for the "game.type" variable is 0.000242, which is less than the significance level of 0.05. This indicates that there is a significant difference between the mean empathy scores for the different types of games.

To further investigate this difference, we can use Tukey's HSD post-hoc test to compare the means of each pair of game types. The results show that the mean empathy score for GTA games is significantly lower than the mean empathy score for neutral games (p-value < 0.001) and Half-Life games (p-value = 0.002), but there is no significant difference between the mean empathy scores for neutral and Half-Life games.

To explore the relationship between identification and empathy, we can first subset the data for individuals who played each type of game using the "subset" function in R. We can then create scatterplots to visualize the relationship between identification and empathy for each subset.

For students who played neutral games, the scatterplot shows a positive correlation between identification and empathy, suggesting that individuals who identified more with their game character also had higher empathy scores. However, the correlation is not significant (p-value = 0.328), indicating that we cannot reject the null hypothesis of no correlation.

For students who played Half-Life, the scatterplot also shows a positive correlation between identification and empathy, which is significant (p-value = 0.035). This suggests that individuals who identified more with their Half-Life game character also had higher empathy scores.

For students who played GTA, the scatterplot shows a negative correlation between identification and empathy, indicating that individuals who identified more with their GTA game character had lower empathy scores. However, the correlation is not significant (p-value = 0.149), indicating that we cannot reject the null hypothesis of no correlation.

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Answer:

Step-by-step explanation:

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

The factored form is (8x) (12x + 11)

Answer:

Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.

The GCF of 96x2 and 88x  ✔ 8x

Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)

The factored form of the expression is ✔ 8x(12x + 11)

A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13. The number 8 is not prime because it has four factors: 1, 2, 4 and 8. The number 1 is not a prime number because it only has one factor (itself).

The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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Solution:

Note that:

Find the speed of her bike of both the days and compare.

This means that:

Hence, the day after Monday is the day, she rode her bike faster than on Monday.

Answer:

The next day

Step-by-step explanation:

she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.

Answer:

6.245

Step-by-step explanation:

........... .....

Answer:

a) 1/3=2/6=3/9=6/18

b) 2/5=4/10=8/20=16/40

Answer:

the missing numbers be 60 and 6 respectively

Step-by-step explanation:

The computation of the missing numbers are shown below:

Let us assume the missing numbers be x

a/

, \(\frac{1}{2} \times 30 = \frac{1}{4} \times x\\\\15 = \frac{1}{4} \times x\\\\x = 60\)

b.

\(\frac{1}{3} \times 12 = \frac{2}{3} \times x\\\\4 = \frac{2}{3} \times x\\\\x = 6\)

Hence, the missing numbers be 60 and 6 respectively

Answer:

lol you didn't give the figure

Answer:

399.6 square miles

Step-by-step explanation:

The Area of a sector =

x/360° × πr²

r = 13.4 miles

x = 255°

Hence,

255°/360° × π × 13.4²

= 399.5739336 square miles

Approximately = 399.6 square miles

Answer:

399.6

Step-by-step explanation:

Answer:

\(\frac{2}{5}\)

Step-by-step explanation:

Constants are terms that do not contain variables in an equation, term, or expression.

Examples: 2, 4, -8, 16, 22, 0.3, \(\frac{1}{2}\), -2.2, π

As you can see, these are only integers, nothing more.

Non-examples: 2x, -y, yx, -7k, \(\frac{4}{5}b\), 6x², a, 8mn, p², p, 1.1p², 4 + b

These values contain variables, so they are not defined as constants.

Answer:0.333

Step-by-step explanation:4+8=12 so there is only 4 chances it can be male so 4/12=0.333

Answer:

\(\frac{1}{3}\)

Step-by-step explanation:

probability (P) is calculated as

P = (desired result ) ÷ ( number of possible results )

here desired result is choosing a male from 4 males

number of possible results = 4 + 8 = 12 , then

P( male) = \(\frac{4}{12}\) = \(\frac{1}{3}\)

Answer:

14 cm

The correct answer is B

Answer:

1.78 × 10^8

Hope it helps you...

Answer:

D) 84cm

Step-by-step explanation:

Square area = √(441cm²) = 21 cm

perimeter = 4*21 = 84 cm

True.

The method of least squares is used in regression analysis to determine the best-fitting line or curve that minimizes the sum of squared errors (SSE). The SSE is calculated by summing the squared differences between the observed values and the corresponding predicted values.

The goal of the least squares method is to find the line that minimizes this sum, indicating the line that has the smallest overall error.

Additionally, the least squares method ensures that the regression line has an average error of zero by taking into account the overall deviation from the line. This means that, on average, the predicted values from the regression line will be equal to the observed values.

So, it is true that the method of least squares specifies that the regression line has an average error of 0 and an SSE that is minimized.

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Hello!

\(\large\boxed{B. \text{ } One}\)

2x - y = 6

3x + 5y = -17

Solve systems of equations by elimination.

The easiest variable to eliminate would be y since we can simply multiply the first equation by 5:

5(2x - y = 6)

3x + 5y = -17

10x - 5y = 30

3x + 5y = -17

Eliminate y by adding both equations to each other:

10x - 5y = 30

3x + 5y = -17

-------------------

13x + 0y = 13

13x = 13

13x/13 = 13/13

x = 1

Therefore, there is only ONE solution to this system of equations because we only could derive one solution.

Answer:

One of the answers is HL, and the other answer is ΔBCA ≅ ΔDEC, or ΔCAB ≅ ΔCDE.

Step-by-step explanation:

Only right angles use HL as a postulate theorem.

Answer: The common ratio r is s2/5 = sqrt(s2), the fifth term is ar^4 = s8/5 = 25s4/5, and the nth term is ar^(n-1) = s2/5 * sqrt(s2)^(n-1).

Step-by-step explanation:

The general form of a geometric sequence is given by:

a, ar, ar², ar², ...

where a is the first term and r is the common ratio.

In this case, we have:

a = 1

ar = s2/5

ar² = s4/5

ar³ = s6/5

We can use the second and third equations to solve for r:

ar / a = (s2/5) / 1

r = s2/5

ar² / ar = (s4/5) / (s2/5)

r = sqrt(s4/5 / s2/5) = sqrt(s4/s2) = sqrt(s2)

Since we have two expressions for r, we can equate them and solve for s:

s2/5 = sqrt(s2)

s2 = (s2/5)²

s2 = s4/25

25s2 = s4

s4/5 = 25s2/5

Therefore, the common ratio r is s2/5 = sqrt(s2), the fifth term is ar^4 = s8/5 = 25s4/5, and the nth term is ar^(n-1) = s2/5 * sqrt(s2)^(n-1).

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Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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One possible equation for a rational function that has a discontinuity (hole) at x = -2 and an asymptote at x = 4 is f(x) = (x + 2)(x - 4) / (x + 2)

To build this equation, we start with a basic rational function, such as f(x) = (x - a) / (x - b)

where a and b are constants.

We know that this function has a vertical asymptote at x = b and a discontinuity (hole) at x = a, because the denominator becomes zero at x = b, but the numerator is nonzero, so the function becomes unbounded, and the denominator and numerator become zero at x = a, but the ratio can be simplified to a nonzero value.

To match the given conditions, we need to choose a = -2 and b = 4.

This gives us the denominator (x - 4) that has an asymptote at x = 4 and the factor (x + 2) in the numerator that creates a discontinuity (hole) at x = -2.

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Answer:

442

Step-by-step explanation:

First, you need to add these numbers together: 123+89+246. For which you get, 458. After, you need to subtract 900 from 458. This gives you the answer of 442.

The digital camera memory card for Matt's camera can store = 900 pictures

Picture's took on Friday= 123'

Picture's took on Saturday= 89

Picture's took on Sunday= 246

(Add the total picture's took on Friday, Saturday and Sunday)

Picture's took on Friday, Saturday and Sunday :- => 123+89+246=> 458

Hence, He took 458 pictures on Friday, Saturday and Sunday.

The digital camera memory card for Matt's camera can store = 900 pictures

The picture's he can take more in his camera:-

=> 900-458

=> 442

Therefore, The picture's he can take more in his camera is 442.

Answer:

Step-by-step explanation:

length of the rectangle = 2.5 m

breadth of the rectangle = 1.6 m

Perimeter of rectangle = 2( l + b )

= 2 × 4.1

= 8.2 m

Hope this helps

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Answer: B

Explanation:

Let's simplify step-by-step.

4(x+7)−7x+2

Distribute:

=(4)(x)+(4)(7)+−7x+2

=4x+28+−7x+2

Combine Like Terms:

=4x+28+−7x+2

=(4x+−7x)+(28+2)

=−3x+30

Answer:

=−3x+30

Answer:

diameter = 6.28 yards

Step-by-step explanation:

2 x 3.14 = 6.28

Therefore, the cost of one blanket is $30 and the cost of one sheet is $12.5

Unitary Method

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given,

The cost of three blankets = $90

The cost of two sheets and one blanket = $55

Let x be the cost of the sheet.

From the given details,

We know that, the cost of one blanket is \(\frac{90}{3} =30\)

So, if the cost of one blanket is $30, then 2x+30=55

Then

2x=55-30

2x=25

x=25/2

x=12.5

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Answer:

$6

Step-by-step explanation:

Round $42.58 to the nearest ten dollars to get $40. $40 ÷ 100 = $0.4 so this is one percent. $0.4 × 15 is $6 which is an estimate of 15% of $42.58.

The answer is $6 (unless if you are meant to add this to $42.58 - then the answer would be $48.58 - but I am not sure because of the wording of the question).

Based on the information that the smallest score in a population is x=5, and the largest score is x=10, the conclusion is that the standard  deviation is going to be smaller than the range of scores.

Given that in a population, the smallest score is x=5, and largest score is x=10, the range of scores is:

Range of scores=largest score-lowest score

                          =10-5

                           =5

Here the range of scores is 5, and the mean of the scores is likely to be between 5 and 10

Standard deviation which refers to the average spread of the distribution,  will now be considered to be smaller since the range of scores is low.

Because standard deviation is found from the mean, if the mean is between x=5 and x=10, the standard deviation must be lower than x=5.

Hence, smaller than the range of scores.

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