Which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

The equation for the line of best fit is: C. y = 0.894x + 0.535.

In order to determine the equation for the line of best fit, we would create a table of values based on the given x-values and y-values as follows;

x          y            x²        y²          xy__

5          4          25        16       20

6          6           36       36       36

9          9           81        81        81

10         11          100       121       110

14          12        196       144      168  

Sum                  438       398     415

Next, we would calculate the mean of the x and y variables as follows;

Mean = [∑(x)]/n

Mean = 44/5

Mean, \(\bar{x}\) = 8.8

Mean = [∑(y)]/n

Mean = 42/5

Mean, \(\bar{y}\) = 8.4

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) = (5-8.8)(4-8.4) + (6-8.8)(6-8.4)+(9-8.8)(9-8.4)+(10-8.8)(11-8.4)+(14-8.8)(12-8.4)

∑(x - \(\bar{x}\))(x - \(\bar{y}\)) =45.4

∑(x - \(\bar{x}\))² = (5-8.8)²+(6-8.8)²+(9-8.8)²+(10-8.8)²+(14-8.8)²

∑(x - \(\bar{x}\))² = 50.8

Now, we can determine the slope coefficient for the line of best fit:

Slope (b) = 45.4/50.8

Slope (b) = 0.894.

Lastly, we would determine the intercept (a) as follows;

\(a = \bar{y} - b\bar{x}\)

a = 8.4 - (0.894)8.8

a = 0.535

Therefore, the required equation is y = 0.894x + 0.535.

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Answer:

I came up with -12

Step-by-step explanation:

8 workers = 6 days to complete

x workers = 4 days faster to complete

6/4=1.5 days faster

1.5 x 8 = 12 workers needed to complete the wall in fours days

The coefficient of variation for A is 20.37% and for B is 15.98%.

What is coefficient of variation?

In statistics, the relative standard deviation (RSD), commonly referred to as the coefficient of variation formula (CV), is a standardized way to assess how widely spaced out a probability distribution or frequency distribution is. Lower values of the coefficient of variation indicate that the data is highly stable and less variable.

We know that formula for coefficient of variation is

CV = Standard Deviation / Mean

A. $31,100, $25,800, $36,300, $30,200, $30,000, $19,800, $22,300, $22,600, $34,900, $21,700, $36,900, $30,800, $31,700, $37,100

Mean = 411200 / 14

Mean = $29371.42

Similarly,

Standard Deviation = $5984.52

So,

CV = 5984.52 / 29371.42 * 100

CV = 20.37%

B. 3.18, 4.24, 4.27, 4.38, 3.87, 4.75, 3.43, 3.35, 4.16, 4.81, 2.98

Mean = 43.42 / 11

Mean = $3.94

Similarly,

Standard Deviation = $0.63

So,

CV = 0.63 / 3.94 * 100

CV = 15.98%

Hence, the coefficient of variation for A is 20.37% and for B is 15.98%.

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The optimal strategy would be to fit several models to the data using equation mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.

In a mathematical equation, the equals sign (=), which connects two claims and denotes equality, is utilized. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a space. Mathematical expressions can be used to describe the relationship between the two sentences on either side of a letter. The logo and the particular piece of software frequently correspond. like, for instance, 2x - 4 = 2.

The following exponential model could be a good fit for the data in the image:

\(f(x) = 7.5 * e^(0.1x) (0.1x)\)

The data is assumed to develop exponentially with a base of e in this model, with a growth rate of 10% for each unit increase in x.

It is crucial to remember that this is only one potential model and that other exponential models with other parameters could also be able to satisfactorily match the data. The optimal strategy would be to fit several models to the data using mathematical software or tools, and then assess the goodness of fit using statistical metrics like R-squared or Mean Squared Error.

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Answer:

Area of the minor segment = 2.505324230749 cm²

Step-by-step explanation:

Area of the minor segment

= Area of the sector ABC - Area of the triangle ABC

……………………………………………………………………………………

• Area of the sector ABC

= Area of the whole circle ÷ 8

= (π×8²) ÷ 8

= 8π

______

•• Area of the triangle ABC

= (1÷2) × CA × CB × sin(45)

= (1÷2) × 8 × 8 × (√2/2)

= 16√2

______

Thus

Area of the minor segment

= 8π - 16√2

= 2.505324230749

answer:

78

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Answer:

$78

Step-by-step explanation:

13 * 6 is 78

I hope that helps broski

Answer:

1) 55.1cm     2)149.6cm

Step-by-step explanation:

We have the expression

To solve it we must remember the property:

Here we have

Using the property it will be

Now we solve it inside the parenthesis

Therefore r = 1000, the correct answer is the letter C.

Answer:

24

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

7 + (-8) + 2 + (-1)

is the same as:

7 - 8 + 2 - 1

Simplify these:

-1 + 1

Solve:

0

The difference in overall gain between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price is $239.50.

To determine the difference in overall gain or loss between selling stock A at the current day's high price or low price and selling stock B at the current day's high price or low price, we need to calculate the selling prices of the stocks.

Stock A:

High price = $105.19

Low price = $103.25

Close price = $103.38

Stock B:

High price = $145.18

Low price = $143.28

Close price = $144.05

The investor purchased 50 shares of stock A at $90 per share and 75 shares of stock B at $145 per share.

To calculate the selling prices, we need to multiply the number of shares by the respective selling price.

Selling price of stock A at the high price: 50 shares \(\times\) $105.19 = $5,259.50

Selling price of stock A at the low price: 50 shares \(\times\) $103.25 = $5,162.50

Selling price of stock B at the high price: 75 shares \(\times\) $145.18 = $10,888.50

Selling price of stock B at the low price: 75 shares \(\times\) $143.28 = $10,746.00

Now, let's calculate the difference in overall gain or loss:

Difference in overall gain = Selling price at the high price - Selling price at the low price

= ($5,259.50 + $10,888.50) - ($5,162.50 + $10,746.00)

= $16,148.00 - $15,908.50

= $239.50

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The function f(x) = x² then the required function exists g(x) = -x²- 4.

The function exists described as y = f(x).

In mathematics, a function from a set X to a set Y allocates to each element of X exactly one element of Y. The set X exists named the domain of the function and the set Y exists named the codomain of the function. Functions stood originally for the idealization of how a variable quantity relies on another quantity.

For every x there exists a certain value of y.

From the graph g(x) exists reflection of f(x) at y = -4.

So g(x) = -f(x) - 4, the negative sign for reflection.

g(x) = -x² - 4

The required function exists g(x) = -x² - 4.

Therefore, the correct answer is option D. g(x) = -x² - 4.

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The complete question is:

F(x) = x². What is g(x)?

A. g(x) = x² - 4

B. g(x) = x² + 4

C. g(x) = -4x²

D. g(x) = -x² - 4

Answer:

Reptile, any member of the class Reptilia, the group of air-breathing vertebrates that only have:

2. Answer: 1.3 meters

1.8 - 0.5 = 1.3 meters

3. Answer: 9

3 - (-6) = 3 + 6 = 9

4. Answer: 31/12 or 2 7/12

-5/12 - (-9/3) = -5/12 + 9/3 = -5/12 + 3 = 31/12 = 2 7/12

36 of the insects are purple

4 x 45 . = 35

5 . 1

5 goes into 45 9 times so 4 x 9 =36

The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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Answer:

B) y = -3/7x + 41/7

Step-by-step explanation:

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The estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units

To estimate when the population will exceed 6371, we can set up the inequality:

p(t) > 6371

where p(t) is the population at time t, as given by the equation \(p(t) = 1950e^{0.16t}\)

Substituting the expression for p(t) into the inequality, we get:

\(1950e^{0.16t} > 6371\)

Next, we can divide both sides of the inequality by 1950 to isolate the exponential term:

\(e^{0.16t} > 6371 / 1950\)

To solve for t, we can take the natural logarithm (ln) of both sides, which will eliminate the exponential term:

\(ln(e^{0.16t} > ln(6371 / 1950)\)

Using the property of logarithms that ln(e^x) = x, we get:

\(0.16t > ln(6371 / 1950)\)

Now, we can divide both sides of the inequality by 0.16 to solve for t:

\(0.16t / 0.16 > ln(6371 / 1950) / 0.16\)

Simplifying, we get:

\(t > ln(6371 / 1950) / 0.16\)

Using a calculator, we can find the approximate value of \(ln(6371 / 1950) / 0.16\), which is approximately 20.33 (rounded to two decimal places).

So, the estimate for when the population will exceed 6371 is t > 20.33. This means that at a time greater than 20.33 units

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Explanation:

The equation of a line in slope-intercept form is:

Where m is the slope and b is the y-intercept.

The formula for the slope of a line with points (x1, y1) and (x2, y2) is:

In this case the slope is:

For now we have:

To find the y-intercept b, we have to replace (x,y) for one of the given points and solve for b. If we use point (1,2):

Answer:

The equation of the line is: y = -3x + 5

Answer:

y=\neg;[3]x+5

Step-by-step explanation:

Answer:

s> 144 2/3

Step-by-step explanation:

I took the test in k12 and i got it right so yea !

Answer: the other person was right

Step-by-step explanation:

The probability that both outcome 1 and outcome 2 occur at least once is  1 - (0.4)^n

Let A be the event that outcome 1 never occurs, and B be the event that outcome 2 never occurs. Then, the probability that neither outcome 1 nor outcome 2 occur at least once is the probability of the intersection of A and B, which we can find using the multiplication rule:

P(A and B) = P(A) × P(B | A)

where P(B | A) is the probability that outcome 2 never occurs given that outcome 1 never occurs.

Since each trial has 3 possible outcomes, the probability of outcome 1 occurring on any one trial is 0.5, and the probability of outcome 2 occurring on any one trial is 0.2. Therefore, the probability of outcome 1 never occurring on any one trial is 0.5, and the probability of outcome 2 never occurring on any one trial is 0.8. Thus:

P(A) = (0.5)^n

P(B | A) = (0.8)^n

Therefore:

P(A and B) = (0.5)^n × (0.8)^n = (0.4)^n

Finally, we can use the complementary probability to find the probability that both outcome 1 and outcome 2 occur at least once:

P(both 1 and 2 occur at least once) = 1 - P(neither 1 nor 2 occur at least once)

= 1 - P(A and B)

= 1 - (0.4)^n

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Applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

In geometry, a chord is defined as the line segment that joins two points on the circumference of a circle.

In a circle, if two chords are congruent, then they are equidistant from the center of a circle, according to the congruent chords theorem.

In the circle given, chords JK = LM = 12 units. This means both chords are congruent, therefore, they are equidistant from the center of the circle S.

According to the congruent chords theorem, NS = PS, thus:

8 = 2x - 6

8 + 6 = 2x

14 = 2x

Divide both sides by 2

14/2 = 2x/2

7 = x

x = 7

LP = 1/2(12)

LP = 6 units.

In summary, applying the congruent chords theorem, the value of x is: 7.

Length of segment LP is: 6 units.

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Answer:

From Thursday to Friday, the change in the depth was 19/16 inches

or as a mixed number, 1 3/16 inches

Step-by-step explanation:

From Monday to Thursday, the depth of a snowdrift changed by 2 3/8 inches

now, 2 3/8 = 2(8/8)+(3/8) = 16/8 + 3/8 = (16+3)/8

so, 2 3/8 = 19/8 inches = depth change from monday to thursday

From Thursday to Friday, the depth changed by half as much,

so,

depth change from Thursday to Friday = 1/2(depth change from Monday to Thursday)

depth change from thursday to friday = 1/2(19/8) = 19/16 inches

Answer:

Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Step-by-step explanation:

your welcome

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

The expression is 4 ₊ 12/x.

Given, the question says , four more than the quotient of 12 and a number x.

= 4 ₊ 12/x.

The outcome of dividing two numbers is the quotient.Three is the result of dividing six by two. In Latin, the word "quotient" implies "how many times." That makes a lot of sense since when you divide two numbers, you are calculating "how many times" the second number enters the first.

A term can be a number, a variable, the product of two or more variables, or the combination of a number and a variable. A single phrase or a collection of terms can make up an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.

hence we framed the expression as 4 ₊ 12/x.

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Answer:

48cm

Step-by-step explanation:

8x6=48

Answer:

$132.12

Step-by-step explanation:

19.43 pesos = $1

2567 pesos = ?

1. First divide 2567 by 19.43 to find the exact number of dollars:

2567 ÷ 19.43 = 132.1152856

2. Round this value to 2 decimal places:

132.1152856 ≈ $132.12

Step-by-step explanation:

19.43 pesos = 1 U.S. dollar

So 1 peso = \(\frac{1}{19.43}\) U.S. dollar

2567 pesos = \((\frac{1}{19.43} )(2567)\) U.S. dollar

= 132.115286 U.S. dollar

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