pls heeelp i dont want to fail

Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383.

Cοrrelatiοn refers tο the statistical relatiοnship between twο οr mοre variables. In οther wοrds, it measures hοw strοngly twο variables are related tο each οther. A cοrrelatiοn value ranges frοm -1 tο +1, with -1 indicating a perfectly negative cοrrelatiοn, 0 indicating nο cοrrelatiοn, and +1 indicating a perfectly pοsitive cοrrelatiοn. A cοrrelatiοn cοefficient οf 0 means there is nο linear relatiοnship between the twο variables.

The cοrrelatiοn cοefficient ranges frοm -1 tο +1, where -1 indicates a perfect negative cοrrelatiοn, 0 indicates nο cοrrelatiοn, and +1 indicates a perfect pοsitive cοrrelatiοn. Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383. This indicates a mοderate negative cοrrelatiοn between the variables.

The absοlute value οf the cοrrelatiοn cοefficient (0.383) suggests that the relatiοnship is nοt particularly strοng, but there is sοme evidence tο suggest that as οne variable increases, the οther variable tends tο decrease.

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A study compared two alloys for lead-free soldering, measuring the melting points of 21 pieces from each. Alloy 1 had a mean and standard deviation denoted as x₁ and s₁, respectively.

In this study, the researchers evaluated the melting points of solder made from two different alloys intended for lead-free soldering.

They collected a random sample of 21 pieces from each alloy and measured the temperature at which each piece melted.

The summary indicates that the mean and standard deviation of the sample for alloy 1 are represented as x₁ and s₁, respectively.

These values provide important information about the central tendency and variability of the melting points for the samples obtained from alloy 1, which can be used for further analysis and comparison with the other alloy.

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You need to mix 60 liters of the 40% alcohol solution with 60 liters of the 60% solution to get a 50% solution.

Let's solve the problem step by step:

Step 1: Define the variables:

Let x be the number of liters of the 40% alcohol solution that needs to be mixed.

Step 2: Write the equation based on the alcohol content:

In the final mixture, the amount of alcohol from the 40% solution and the amount of alcohol from the 60% solution should be equal.

Alcohol from the 40% solution + Alcohol from the 60% solution = Total alcohol in the mixture

0.40x + 0.60(60) = 0.50(x + 60)

Step 3: Solve the equation for x:

0.40x + 0.60(60) = 0.50x + 0.50(60)

0.40x + 36 = 0.50x + 30

0.10x = 6

x = 6 / 0.10

x = 60

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Answer:

a) 35,000 sq ft

Step-by-step explanation:

x = total area

the question is: 80% of what number equals 2800

.8x = 2800

x = 2800/0.8

x = 3500

To find the value of f(6), we can use the information given about the function f(x) and its derivative f'(x).The value of f(6) is 44/3.

Given that f'(x) is continuous, we can apply the Fundamental Theorem of Calculus. According to the theorem:

∫[a to b] f '(x) dx = f(b) - f(a)

In this case, we are given that:

∫[1 to 6] 6 f '(x) dx = 16

We can simplify the integral:

6 ∫[1 to 6] f '(x) dx = 16

Since f'(x) is the derivative of f(x), the integral of 6 f '(x) dx is equal to 6 f(x). Therefore, we have:

6 f(6) - 6 f(1) = 16

Substituting the given value f(1) = 12:

6 f(6) - 6(12) = 16

6 f(6) - 72 = 16

Next, we isolate the term with f(6):

6 f(6) = 16 + 72

6 f(6) = 88

Finally, we solve for f(6) by dividing both sides by 6:

f(6) = 88 / 6

f(6) = 44/3

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Answer:

0.24

Step-by-step explanation:

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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The side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

A function is a elation between a dependent and independent variable.

Given is to identify the correct side lengths of the figures.

We can write the side lengths as -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

Therefore, the side lengths that make the area of rectangles as modelled are -

{ 1 } - (x + 2)

{ 2 } - (x - 5)

{ 3 } - (x + 3)

{ 4 } - (x - 1)

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Answer:

John has 60minutes show 4:54 and Kim has wach her 45 minutes show what time does the show ends

\(6 {x}^{2} - 6x - 72 = \)

\(6( {x}^{2} - x - 12) = \)

\(6(x - 4)(x + 3)\)

An industry analysis of EasyJet helps to identify the forces that impact the company and determine the key drivers of change.

An industry analysis involves examining the external factors that influence a company's operations and competitiveness. In the case of EasyJet, several forces may impact the company's performance and drive change within the industry.

1. Competitive rivalry: EasyJet faces intense competition from other low-cost carriers and traditional airlines. Factors such as pricing strategies, service differentiation, and route networks can impact its market position.

2. Economic factors: Economic conditions, such as GDP growth, exchange rates, and fuel prices, affect the demand for air travel. Economic downturns or fluctuations can impact EasyJet's profitability and passenger numbers.

3. Regulatory environment: Government regulations, including safety standards, security measures, and environmental policies, can shape the operating environment for EasyJet and influence its operations and costs.

4. Technological advancements: Developments in technology, such as online booking systems, mobile applications, and aircraft efficiency improvements, can impact EasyJet's customer experience, operational efficiency, and cost structure.

5. Consumer behavior: Changes in consumer preferences, such as increased demand for sustainability, digital services, or customized travel experiences, can drive shifts in the market and require adaptations by EasyJet.

Analyzing these forces and understanding their impact on EasyJet allows the identification of key drivers of change. This knowledge can inform strategic decision-making, such as adapting pricing strategies, expanding into new markets, investing in technology, or addressing environmental concerns, to stay competitive and responsive to industry dynamics.

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To find the number of triangles with vertices of three different colors, we need to consider the combinations of colors we can choose from the given set of points.

We have 8 red points, 4 green points, and 6 blue points. To form a triangle with vertices of three different colors, we need to choose one point from each color group.

First, let's choose one red point. We have 8 options for this.

Next, let's choose one green point. We have 4 options for this.

Finally, let's choose one blue point. We have 6 options for this.

To determine the total number of triangles, we need to multiply the number of options for each color:

Total number of triangles = Number of options for red points × Number of options for green points × Number of options for blue points

                      = 8 × 4 × 6

                      = 192

Therefore, there are 192 triangles with vertices of three different colors.

It's worth noting that the order in which we choose the points does not matter because we are counting the number of distinct triangles. So, we are not considering permutations but rather combinations of colors.

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Answer:

10 possible lines

Step-by-step explanation:

Given

\(Points = \{a,b,c,d,e\}\)

Required

Number of lines

From the question, the number of points (n) are:

\(n = 5\)

If 3 points are not collinear (i.e. on a straight line), it means that only (5 - 3) of the points can be chosen

So, we have:

\(n = 5\)

\(r = 5 - 3\)

\(r =2\)

The number of lines is then calculated using combination formula.

\(^nC_r = \frac{n!}{(n-r)!r!}\)

We used combination because the analysis done above implies that 2 points are to be selected from a,b,c,d and e.

To select means combination

Having said that;

Substitute \(5\ for\ n\ and\ 2\ for\ r\)

\(^5C_2 = \frac{5!}{(5-2)!2!}\)

\(^5C_2 = \frac{5!}{3!2!}\)

\(^5C_2 = \frac{5*4*3!}{3!2!}\)

\(^5C_2 = \frac{5*4}{2!}\)

\(^5C_2 = \frac{5*4}{2*1}\)

\(^5C_2 = \frac{20}{2}\)

\(^5C_2 = 10\)

Hence, there are 10 possible lines

Answer:

(4r-3)(r-1)

r=1, 3/4

Step-by-step explanation:

hope this helps have a good day

There are 5 full square and 6 triangles that are half squares.

      5 + (6)(1/2) = 5 + 3 = 8

You could also break this into smaller shapes (like a big triangle on the top and a smaller triangle and rectangle on the bottom and use area formulas to calculate the area.  But counting works well in this example.

Answer: 8

Step-by-step explanation:

First you split up this shape into two different shapes, a triangle and trapezoid

Put a line through the coordinates (-2,2) to  (-1,2); the top is a triangle and the other is a trapezoid

Area of the trapezoid is A = .5x (base1 + base2) x height

base1 of the trapezoid goes from -4 to -1 which is 3

base2 goes from -2 to -1 which is 1

height is 0 to 2 whcich is 2

A = .5 x (3+1) x 2 = 4

Now area of a triangle is A = .5 x base x height

the base goes from -2 to 2 which is 4

the height goes from 2 to 4 which is 2

A = .5 x (4) x (2) = 4

Area of the Trapezoid + Area of the Triangle = Total Area

4 + 4 = 8

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

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Explanation

The equation of a circle with center (h,k) and radius r units is given by:

then

Step 1

find the diameter of the cirlce:

to do this, we can use the distance between two points formula:

if

the distance from A to B is

so,let

distance CD=

hence, the diameter of the circle is

Step 2

find the center of the circle:

the center of the circle is the midpoint of CD

so

replace

so, the center of the circle is (-3,-1)

Step 3

finally, replace in the formula to get the equation of the circle

let

replace

therefore, the answer is

I hope this helps you

Answer:

Step-by-step explanation:

It can be proven that RT is equal to 3/2 times OS from the information that we have since  RT and OS are parallel lines, and AO and RS are transversals.

We have the following:

ABCD is a square,

T and S are orthogonal projections,

also RT is parallel to OS,

R is the midpoint of AO.

Since R =  midpoint of AO,

we say  that the length of AR = RO, because  each of them is equal to (1/2)AO.

We apply  the intercept theorem in order to determine the relationship between RT and OS.

The intercept theorem states that if two parallel lines intersect with two transversals, then the ratio of the intercepted segments on the transversals is equal.

e AR = (1/2)AO,

hence RS = AO - AR

RS = AO - (1/2)AO

RS = (1/2)AO.

We compare the two statements below:

RT/RS = (1/2)AO / (1/2)AO = 1

OS/RS = AO / (1/2)AO = 2

We also notice that RT/RS = 1 and OS/RS = 2,

Therefore ,  RT = (3/2)OS

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Step-by-step explanation:

f ( X) = ( 2X - I ) / 2X ^ 2 - 9X + 10

= 2X-1 ) /( 2X- 5 ) ( x - 2 )

set of zeros of denominator are :

2X- 5 . = 0

X= 5/2

or

X-2=0

X=2

set of zeros of denominator = { 5/2 ,2 }

domain = R - { 5/2,2 }

Regression analysis is a statistical technique used to predict the value of a quantitative variable based on another quantitative variable i.e., the given statement is true.

Regression analysis is widely used when there is an interest in understanding how one quantitative variable, known as the dependent variable or response variable, is influenced by another quantitative variable, known as the independent variable or predictor variable.

The goal is to establish a mathematical relationship between the variables that can be used for prediction and inference.

In regression analysis, a model is built based on the observed data to estimate the relationship between the variables. The model takes into account the variability in the data and provides insights into the strength and direction of the relationship.

By analyzing the model's coefficients, such as the slope and intercept, predictions can be made about the dependent variable's values for different levels of the independent variable.

Regression analysis allows for the assessment of the significance of the relationship, the quantification of the effect of the predictor variable on the response variable, and the estimation of the prediction accuracy.

It provides a valuable tool for making informed decisions, conducting research, and understanding the underlying factors that contribute to the variability of the dependent variable.

Therefore, it is true that regression analysis is useful when predicting the value of a quantitative variable based on another quantitative variable.

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Answer:

elimination

Step-by-step explanation:

multiply 2nd eqn by 2 and take eqn 1 - eqn 2 and you'll get rid of x term, leaving only the y term and a constant, where you can then easily solve for y and sub to get x

Topic: simultaneous eqn

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\(\qquad \qquad\huge \underline{\boxed{\sf Answer}}\)

Here's the solution ~

Let's find the gradient of the shown line, using coordinates of any two points on it, like I'm gonna use (0 , 2) and (1 , -1)

Use the following equation :

\(\qquad \sf  \dashrightarrow \: gradient = \dfrac{y_2 - y_ 1}{x_2 - x_1} \)

\(\qquad \sf  \dashrightarrow \: g = \dfrac{2 - ( - 1)}{0 - 1} \)

\(\qquad \sf  \dashrightarrow \: g = \dfrac{2 + 1}{ - 1} \)

\(\qquad \sf  \dashrightarrow \: g = - 3\)

Hence, the gradient = -3 for the given line ~

Gradient means slope

Take 2 points

Slope:-

\(\\ \rm\hookrightarrow m=\dfrac{2+4}{-2}\)

\(\\ \rm\hookrightarrow m=-6/2\)

\(\\ \rm\hookrightarrow m=-3\)

By using addition and multiplication, the result obtained is

Kianna saves $3020 this year

What is addition and multiplication?

Suppose there are many numbers. To get the sum total of all the numbers, addition is used

Repeated addition is called multiplication

Addition and multiplication will be used here

Amount of money Kianna saves each month for the first 7 months = $215

Total amount of money Kianna saved in the first 7 months = $215 \(\times\) 7

                                                                                                  = $1505

Amount of money she saves each month for the last 5 months = $305

Amount of money she saves in the last 5 months = $305 \(\times\) 5 = $1515

Total amount of money Kianna saves this year = $(1505 + 1515)

                                                                              = $3020

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Answer:

Step-by-step explanation:

5 seconds later acceleration of the car is 6m/h^2

We know that the initial velocity of a car is 50 mph.

In the end, the final velocity of a car is 80 mph.

The time difference is 5 seconds.

For the calculation of the acceleration, we have this formula,

α = δv/t

so here, according to our data, velocity and time are,

u = 50 mph

v = 80 mph

t = 5 s

Finally, the acceleration of the car can be calculated by,

α = (80 - 50) / 5

α = 30 / 5

α = 6 m/h^2

From the above calculations, the car's acceleration is 6 m/h^2.

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Answer:

What do you need help with?

Step-by-step explanation:

Answer (x + 7) • (x + 2) • (x - 3) • (x - 6)

Answer:

40% decrease

Step-by-step explanation:

First, let's find the value decrease of the item from yesterday to today

$65 - $39 = $26

That means that $65 was 100% of the price and decreasing it by 26 gets us to 39

We need to find the percentage of 39 in 65

39/65 = 0.6 or 60%

If 39 is 60% of 65, then there was a 40% decrease form 100%

To check we can calculate the percentage of 26 in 65:

26/65 = 40%

There was a 40% decrease

-Chetan K

Answer:

A solution to the system is (–1, –2).

One of the equations is y = x –1.

One of the equations is 3x + y = –5.

Step-by-step explanation:

A solution to the system is (–1, –2).

One of the equations is y = x –1.

One of the equations is 3x + y = –5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

According to the question,

1. The system contains infinitely many solutions.

This stands wrong because according to the graph, there exists only one solution- where the lines intersect.

This would only be correct if the lines never intersect.

2. A solution to the system exists (-1, -2).

This exists true because this stands as the only point where the lines intersect.

3. A solution to the system exists (0, -1).

This is correct because the y-intercept for the red line stands at -1 and the slope of the equation is 1.

4. One of the equations exists 3x+y = -5.

If you put this into slope-intercept form, you will discover that the equation exists y =-3x -5.

This stands correct because the y-intercept of this stands -5 and the slope of this stands -3.

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