Can someone please answer this

Answer:

x=-1

Step-by-step explanation:

0=-6x-14-3x+5

0=-9x-9

-9x=9

x=-1

The height of the curve for a given value of x is closely related to the probability of an observation falling in an interval around x.

The height of the curve, also known as the probability density function (PDF), represents the relative likelihood of different values occurring in a distribution. In probability theory, the area under the curve within a specific interval represents the probability of an observation falling within that interval.

Therefore, the height of the curve at a particular value of x reflects the probability of an observation being close to that value.

The concept of the PDF and its relationship to probability is fundamental in statistical analysis. By examining the height of the curve at different points, we can assess the likelihood of observing specific values or ranges of values.

This information is crucial for making inferences, estimating probabilities, and conducting hypothesis testing in various fields such as finance, biology, and social sciences.

Learn more about Probability

brainly.com/question/31828911

#SPJ11

Answer:

\(\textsf{1.} \quad {x(x+2)(x-3)\)

\(\textsf{2.} \quad 3x(x-1)(x-8)\)

\(\textsf{3.} \quad 4x(2x-1)(x-5)\)

Step-by-step explanation:

To factorize the given cubic expression x³ - x² - 6x, first factor out the common term x:

\(x(x^2-x-6)\)

Now factorize the quadratic expression (x² - x - 6) by using the technique of splitting the middle term.

The product of the coefficient of the leading term and the constant is -6. Therefore, find two numbers that multiply to -6 and sum to -1.

The two numbers are -3 and 2, so rewrite the middle term as -3x + 2x:

\(\begin{aligned}x^2-x-6&=x^2-3x+2x-6\\&=x(x-3)+2(x-3)\\&=(x+2)(x-3)\end{aligned}\)

Therefore, the fully factorised expression is:

\(\boxed{x(x+2)(x-3)}\)

\(\hrulefill\)

To factorize the given cubic expression 3x³- 27x² + 24x, first factor out the common term 3x:

\(3x(x^2-9x+8)\)

Now factorize the quadratic expression (x² - 9x + 8) by using the technique of splitting the middle term.

The product of the coefficient of the leading term and the constant is 8. Therefore, find two numbers that multiply to 8 and sum to -9.

The two numbers are -8 and -1, so rewrite the middle term as -8x - x:

\(\begin{aligned}x^2-9x+8&=x^2-8x-x+8\\&=x(x-8)-1(x-8)\\&=(x-1)(x-8)\end{aligned}\)

Therefore, the fully factorised expression is:

\(\boxed{3x(x-1)(x-8)}\)

\(\hrulefill\)

To factorize the given cubic expression 8x³ - 44x² + 20x​, first factor out the common term 4x:

\(4x(2x^2-11x+5)\)

Now factorize the quadratic expression (2x² - 11x + 5) by using the technique of splitting the middle term.

The product of the coefficient of the leading term and the constant is 10. Therefore, find two numbers that multiply to 10 and sum to -11.

The two numbers are -10 and -1, so rewrite the middle term as -10x - x:

\(\begin{aligned}2x^2-11x+5&=2x^2-10x-x+5\\&=2x(x-5)-1(x-5)\\&=(2x-1)(x-5)\end{aligned}\)

Therefore, the fully factorised expression is:

\(\boxed{4x(2x-1)(x-5)}\)

Answer:

Question 3: M = -2, B = 1

Question 4: M = \(\frac{2}{5}\), B = -6

Question 5: M = 1, B = -5

Question 6: M = \(\frac{1}{3}\), B = 4

Step-by-step explanation:

Question 3 explanation: 2x + y < 1 ⇒ y < -2x + 1 ⇒ M = -2, B = 1

Question 4 explanation: 2x - 5y ≥ 30 ⇒ -5y ≥ -2x + 30 ⇒ y ≤ \(\frac{2}{5}\)x - 6 ⇒ M = \(\frac{2}{5}\), B = -6

Question 5 explanation: x - y > 5 ⇒ -y > -x + 5 ⇒ y < x - 5 ⇒ M = 1, B = -5

Question 6 explanation: 2x - 6y ≤ -24 ⇒ -6y ≤ -2x - 24 ⇒ y ≥ \(\frac{1}{3}\)x + 4 ⇒ M = \(\frac{1}{3}\), B = 4

The length of time required for money to quadruple in value at a simple interest rate of 6% per year is equal to 25 years.

To calculate this, we can use the following formula:

A = P(1 + r)^t

Where:

A is the final amount of money

P is the initial amount of money

r is the interest rate

t is the number of years

In this case, we have:

A = 4P

r = 0.06

t = ?

Solving for t, we get:

t = (log(4) / log(1 + 0.06))

t = 25 years

Therefore, it will take 25 years for money to quadruple in value at a simple interest rate of 6% per year.

Learn more about Simple Interest.

https://brainly.com/question/33318433

#SPJ11

The range thumb rule The minimum and maximum values for the usual value, which is two, are 812.14 and 885.85, respectively.

An efficient way to calculate the range from the standard deviation is to use the range rule of thumb. The range is normally around four times the standard deviation, according to this information. Inferring that your range is around eight if your standard deviation is 2, for example.

As an illustration of a binomial distribution, we'll utilize seeds.

According to given data;

Let "X" represent the number of tomato seeds that actually germinate based on the data provided.

With the knowledge provided above, we can now determine the:

The median number of seeds that we may anticipate to germinate

standard deviation (σ): sqrt of n*p*(1-p)

Once you calculate the mean and standard deviation, you can calculate the minimum usual value and the max usual value.

Now, in your problem:

n = 1415

p = 3/5

so,

the mean would be: (1415)(3/5) = 849

the standard deviation would be:  sqrt (mean)(1-3/5) = 18.4282

Next, we find the minimum and maximum usual values according to the equations you gave:

minimum:  mean - 2(standard deviation)

                = 849 - 2(18.4282)

                = 812.1436

maximum: mean + 2(standard deviation)

                = 849 + 2(18.4282)

                = 885.8564

to know more about range rule visit;

https://brainly.com/question/14182540

#SPJ9

Answer:

I believe its (-3,-2)...........

Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:

Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

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

Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:

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

Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.

Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:

y - y0 = m(x - x0)

Substituting the value of m found in step 1, we get:

y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)

This is the equation of the line parallel to AB passing through the point (x0, y0).

Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.

Step-by-step explanation:

A sample size of 76 would be required to estimate the population mean with a margin of error of 4 and a 98% level of confidence.

To determine the sample size required to estimate the population mean with a specific margin of error and level of confidence, we can use the formula:

n = (Z * σ / E)²

where

n = required sample size

Z = Z-score corresponding to the desired level of confidence

σ = standard deviation of the population

E = desired margin of error

here, we have that

the standard deviation (σ) is given as 15,

the margin of error (E) is 4 and

the level of confidence is 98% and For a 98% confidence level, the Z-score is approximately 2.33.

Plugging the values into the formula:

n = (2.33 * 15 / 4)²

n = (8.7375)²

n ≈ 76.34

n = 76

Learn more about sample size at

https://brainly.com/question/30647570

#SPJ4

Step-by-step explanation:

the sum of all external angles in a polygon is 360°.

a single external angle is therefore 360/n °.

the sum of all internal angles is

(n - 2) × 180

a single internal angle is then

(n-2) × 180 / n

with n being the number of sides.

the internal and the external angle are together 180°.

so, we know

x + 29x = 180

30x = 180

x = 6°

360/n = x

360/x = n

360/6 = 60

so, this polygon has 60 sides.

The fraction of packages weighing less than 30kg is 5/14.

A frequency table is a list of objects with the frequency of each item shown in the table.

The frequency of an occurrence or a value is the number of times it happens.

The total frequency of weights ⇒

0.85 + 0.85 + 0.8 + 1.1 + 1 + 1 0.7 + 0.7 = 7

Sum of frequency of weight less than 30 kg ⇒

0.85 + 0.85 + 0.8 = 2.5

Fraction 2.5/7 = 5/14

Hence "The fraction of packages weighing less than 30kg is 5/14".

To learn more about the frequency table,

brainly.com/question/12576014

#SPJ1

Answer:

1. They are equal to 90°

2. They are both right angles so they are equal to 90° and they are on a straight line

3. An isosceles triangle has two sides of equal length

4. Right angles on a straight line

5. Isosceles triangle has two angles that are equal

Answer:

Step-by-step explanation:

To find the missing numbers in the table, we need to calculate the number of items and the cost of each item for the missing row.

Let the missing row be for boots.

Boots

Cost of each (£)

Number bought

Total cost (£)

To find the cost of each pair of boots, we need to divide the cost of the known items (gumshields, headguards, shoulder pads) by the corresponding number of items bought and then take the average.

The total number of gumshields, headguards, and shoulder pads bought is:

7 + 10 = 17

The total cost of the gumshields, headguards, and shoulder pads is:

£194.85 + £149.90 = £344.75

The cost of each pair of boots can be calculated as follows:

Cost of each pair of boots = (Total cost of gumshields, headguards, and shoulder pads) / (Total number of gumshields, headguards, and shoulder pads)

Cost of each pair of boots = £344.75 / 17

Cost of each pair of boots = £20.28 (rounded to two decimal places)

To find the number of pairs of boots bought, we can divide the total cost of all items (£2006) by the cost of each pair of boots (£20.28):

Number of pairs of boots = Total cost / Cost of each pair of boots

Number of pairs of boots = £2006 / £20.28

Number of pairs of boots = 98.8

Therefore, the missing numbers in the table are:

Boots

Cost of each (£)

20.28

Number bought

99

Total cost (£)

2006

Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.

Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.

Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.

Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.

Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.

Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.

Know more about "chess":-

https://brainly.com/question/9389753#

#SPJ11

Answer:

??????????????????????????????????

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 3 = 1/2(x - 4)

y + 3 = 1/2x - 2

y = 1/2x - 5

Answer:

the answer its A=h b/2

Step-by-step explanation:

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

To know more about encoding task, visit

https://brainly.com/question/8567493

#SPJ11

Answer:

104°

Step-by-step explanation:

In order to find out the value of x we must figure out the other angles. The line on the extended side adds up to 180 degrees. Use that information to find the other angle.

180 - 128 = 52

The one angle is 52. Then, we know that a triangles angles always add up to 180 degrees as well. So create an equation:

180 - 52 - 24 = 104

Step-by-step explanation:    Hello There!

When we are given two side lengths and the included angle we use this formula to solve for the area

A = 1/2absin(C)

where a and b = the side lengths and c = the included angle

The triangle gives us the following information

side length - 10 ft

side length - 4 ft

included angle - 37

Given this information we plug it into the formula

A = 1/2 4 * 10sin(37)

10 * 4 = 40

40sin(37) = 24.07260093  

24.07260093  = 12.03630046

Finally we round to the nearest tenth and get that the area of the triangle is 12ft²

He has a 50/50 chance, so three

.

Answer:

waaa waaa

Step-by-step explanation:

i wont to play fortnite but i can because i have home work :(

The values of given conditions are:

1. median=70

2. Lower quartile=40

3. Upper quartile=87

4. Range=170

5. IQR=47

6. Lower outlier threshold=-20.5

7. Upper outlier threshold=160.5

In statistics, the median is the value separating the higher half from the lower half of a dataset. In other words, it is the middle value of a dataset when it is ordered in ascending or descending order.

Here,

To find the median time, we need to arrange the data in order from least to greatest and find the middle value.

10, 15, 30, 35, 40, 40, 45, 55, 60, 62, 64, 64, 66, 68, 70, 70, 72, 75, 75, 80, 82, 84, 90, 90, 105, 110, 120, 180

There are 28 values in the data set, so the median is the average of the 14th and 15th values:

Median = (70 + 70)/2

= 70

To find the lower quartile, we need to find the median of the lower half of the data set:

10, 15, 30, 35, 40, 40, 45, 55, 60, 62, 64, 64, 66, 68

There are 14 values in the lower half, so the lower quartile is the median of these values:

Lower quartile = (40 + 40)/2

= 40

To find the upper quartile, we need to find the median of the upper half of the data set:

72, 75, 75, 80, 82, 84, 90, 90, 105, 110, 120, 180

There are 14 values in the upper half, so the upper quartile is the median of these values:

Upper quartile = (84 + 90)/2

= 87

To find the range, we subtract the smallest value from the largest value:

Range = 180 - 10

= 170

To determine if there are any outliers in the data set, we need to calculate the interquartile range (IQR):

IQR = Upper quartile - Lower quartile

= 87 - 40

= 47

Any value that is more than 1.5 times the IQR below the lower quartile or above the upper quartile is considered an outlier.

Lower outlier threshold = Lower quartile - 1.5IQR

= 40 - 1.547

= -20.5

Upper outlier threshold = Upper quartile + 1.5IQR

= 87 + 1.547

= 160.5

To draw a box-and-whisker plot, we need to plot a box from the lower quartile to the upper quartile, with a line inside the box representing the median. We then draw whiskers extending from the box to the smallest and largest values that are not outliers. The box extends from 40 to 87, with a line at 70 representing the median. The whisker on the left extends to the smallest non-outlier value of 10, and the whisker on the right extends to the largest non-outlier value of 120.

To know more about median,

https://brainly.com/question/29156884

#SPJ1

Answer:

a10=3,814.7

Step-by-step explanation:

Use the formula an = a1(r)^n-1 and solve.

the 10th term of the given geometric Sequence is 3814.69.

A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.

Given A geometric sequence where first-term = 1 and the ratio is 2.5

From the general formula of the nth term of the geometric sequence:

aₙ = a₁rⁿ⁻¹

In our case,

a₁₀ = 1 * 2.5¹⁰⁻¹

a₁₀ = 2.5⁹

a₁₀ = 3814.69

therefore, the 10th term of the given Sequence is 3814.69.

Learn more about geometric sequence here:

https://brainly.com/question/13008517

#SPJ2

Answer:

M= 7/3 hope that helps ya out

If a categorical independent variable contains 4 categories, then four dummy variables will be needed to uniquely represent these categories. a. 1 b. 2 c. 3 d. 4

How many dummy variables are needed to represent the categorical variable?

We need 1 less dummy variable than outcomes for the categorical variable.

categorical variable has 2 outcomes

So, we need 2-1 = 1 dummy variable.

Note: If our categorical variable had 5 outcomes, we would need 5-1 = 4 dummy variables.

b. Write the multiple regression equation relating the dependent variable to the independent variables.

Note: Depending your your professor, this can be written one of the following ways...

yhat = a + b1 x1 + bx2

yhat = b0 + b1 x1 + b2 x2

yhat = beta0hat + beta1hat x1 + betahat2 x2

where x1 is the ratio variable

and x2 is the dummy variable

c. Interpret the meaning of the coefficients in the regression equation.

b0 = the predicted value of y when x1 and x2 both equal 0.

b1 = the change in y when x1 increases by 1 unit holding x2 constant.

b2 = the predicted difference in y between the two possible outcomes of the categorical variable holding x1 constant

learn more about of variable here

https://brainly.com/question/14454720

#SPJ4

1. The first partial derivatives are: ∂/∂x = 20 * cosh(20x + 4y) , ∂/∂y = 4 * cosh(20x + 4y) 2. The first partial derivatives of are:Fx(x, y) = 16y - 16x, Fy(x, y) = 16y - 16x + 26

To find the first partial derivatives of the given functions, we'll differentiate with respect to the variables indicated. Let's solve each problem separately:

1. Find the first partial derivatives of the function: 2 = sinh(20x + 4y)

To find ∂/∂x, we differentiate with respect to x while treating y as a constant:

∂/∂x (2) = ∂/∂x (sinh(20x + 4y))

Applying the chain rule, we have:

∂/∂x (2) = ∂/∂x (sinh(u)) * ∂(20x + 4y)/∂x

           = 20 * cosh(20x + 4y)

Similarly, to find ∂/∂y, we differentiate with respect to y while treating x as a constant:

∂/∂y (2) = ∂/∂y (sinh(20x + 4y))

Using the chain rule again, we have:

∂/∂y (2) = ∂/∂y (sinh(u)) * ∂(20x + 4y)/∂y

           = 4 * cosh(20x + 4y)

Therefore, the first partial derivatives are:

∂/∂x (2) = 20 * cosh(20x + 4y)

∂/∂y (2) = 4 * cosh(20x + 4y)

2. Find the first partial derivatives of the function: F(x, y) = ∫[x to y] (16t + 13)dt + ∫[x to y] (16t - 13)dt

To find the partial derivatives of an integral, we need to apply the Fundamental Theorem of Calculus. The first partial derivatives of the given function will be the integrands evaluated at the upper limit (y) minus the integrands evaluated at the lower limit (x).

Fx(x, y) = ∂F/∂x = (16y + 13) - (16x + 13) = 16y - 16x

Fy(x, y) = ∂F/∂y = (16y + 13) - (16x - 13) = 16y - 16x + 26

Therefore, the first partial derivatives are:

Fx(x, y) = 16y - 16x

Fy(x, y) = 16y - 16x + 26

Learn more about derivatives here: https://brainly.com/question/25324584

#SPJ11

The complete question is: Find both first partial derivatives. 2 = sinh(20x + 4y) əz ax az dy 11 =Find both first partial derivativesF(x, y) = ∫[x to y] (16t + 13)dt + ∫[x to y] (16t - 13)dt.  Fx(x, y) = fy(x, y) =