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If the correlation between two variables in a sample is r=1, the best description of the resulting scatterplot is that the points lie perfectly on a straight line with a positive slope.

A correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. When the correlation coefficient is 1,

it indicates a perfect positive linear relationship between the variables. In this case, every data point in the scatterplot falls precisely on a straight line with a positive slope.

The scatterplot represents the relationship between the two variables, with each data point plotted based on its corresponding values for the two variables.

With a correlation coefficient of 1, all the data points in the scatterplot align exactly on a straight line. This implies that as one variable increases, the other variable also increases in a consistent and proportional manner.

The scatterplot will exhibit a tight, upward-sloping pattern, where there is no variability or scatter around the line.

This indicates a strong and predictable relationship between the variables. Each point in the scatterplot will have the same x and y values, resulting in a perfect positive correlation.

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Answer: -0.75

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The length of x is 4.1.

Given:

Base = 9 + 4.5 = 13.5

From figure:

= \(\sqrt{9^{2}+5^{2} }\)

= \(\sqrt{81+25}\)

= \(\sqrt{96}\)

= 9.797

4.5 opposite is equal to 4.5.

5 opposite equal to 5 and remaining to x - 5.

According to pythagorean theorem:

= \(\sqrt{4.5^{2}+(x-5)^{2} }\)

\(13.5^{2} +x^{2} =(\sqrt{96}+\sqrt{4.5^{2} +(x-5)^{2} })^{2}\)

\(\sqrt{13.5^{2} +x^{2} }\) - \(\sqrt{96} = \sqrt{20.25+x^{2} +25 -10x}\)

squaring on both sides

182.25 + \(x^{2}\) - 96 = \(x^{2}\) - 10x + 45.25

10x = 45.25 + 96 - 182.25

10x = 41

x = 4.1.

Therefore the value of x is 4.1.

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The square of the centimeter of the area is calculated by the square of the centimeter. The area of the rectangle is calculated by the formula width x length. So the rectangles area is 94cm  

Squares have only one side that is squared to find the area of the shape. But in rectangle there will be two sides given that width and length of the shape. So to find the area the width and the length of the rectangle is given so the numerical must be multiplied. In the given question the width of the rectangle is 8.5 and the length of the rectangle is 11.

o the area of the rectangle can be found by the formula= w x l

=8.5 x 11

=93.5

approximately can be taken as 94 cm.

A rectangle can is a four sided shape that includes the length, width and height and that opposites sides are equal in the rectangle. The adjacent sides of the rectangle is perpendicular and the angle is right angle that is it is measured as 90 degree. A rectangle can be a parallelogram but parallelogram can not be equal to the rectangle.

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The question has an area because the square because the square has only one side and the area of the square can be found by squaring one side of square. So the actual question should be What is the area, in rectangle centimeters, of an 8.5 inch by 11 inch sheet of paper?

Answer:

253

Step-by-step explanation:

Answer:

Gray Widow made $111,357,284.5 in theaters on opening weekend.

Step-by-step explanation:

75% more revenue in theaters than it did via streaming video.

The sum of the revenues is 100%.

So the theaters were responsible for the following percentage:

\(P = 50 + \frac{75}{2} = 50 + 37.5 = 87.5\)

How much money did Gray Widow make in theaters on opening weekend?

87.5% of the total revenue, that is, 0.875 out of $127,265,468.

0.875*127,265,468 = $111,357,284.5

Gray Widow made $111,357,284.5 in theaters on opening weekend.

The height of the Seattle Space Needle is approximately 604 feet.

Let's say h is the height of the Seattle Space Needle. According to the problem, 1450 feet is 240 percent of h, or 2.4h in decimal form, which we can write as:2.4h = 1450Next, we'll divide each side of the equation by 2.4 to isolate h:h = 1450 ÷ 2.4This results in h ≈ 604.17 feet. Because we need to round our answer to the nearest foot, we can say that the height of the Seattle Space Needle is approximately 604 feet.

To find the height of the Seattle Space Needle, we can set up an equation using the given information. If h represents the height of the Seattle Space Needle, then 1450 feet is 240% of h, or 2.4h. Using algebra, we can solve for h by dividing both sides of the equation by 2.4 to isolate h. The resulting equation is h = 1450 ÷ 2.4. Simplifying this expression gives us h ≈ 604.17 feet. Since we need to round our answer to the nearest foot, we can say that the height of the Seattle Space Needle is approximately 604 feet.

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Solution

We have the following expression:

y= height of the pool and x= time in seconds

And we know that the turtle path is given by:

We can do the following:

And we can solve for x on this way:

We can factorize and we got:

And we can do the following to solve the problem:

Then we can conclude that the answer is:

5/2 < x < 5

Between 5/2 and 5 seconds the swimmer dive is below the turtle that represent 5/2 seconds

Answer:

To find the probability that on two consecutive mornings the person will miss the bus at least one morning, we can use the complement rule. The complement of missing the bus is catching the bus. Therefore, the probability of missing the bus on both mornings is (0.4) x (0.4) = 0.16. The probability of not missing the bus on both mornings is (1 - 0.4) x (1 - 0.4) = 0.36. To find the probability of missing the bus at least one morning, we can subtract the probability of not missing the bus on both mornings from 1: P(missing bus at least once) = 1 - P(not missing bus on both mornings) P(missing bus at least once) = 1 - 0.36 P(missing bus at least once) =

The measure of CFD is 66°.

It should be noted that vertically opposite angles are equal.

Therefore, AFE may be equal to BFD.

In this case, AFE is given as 108° while one of the other angles is given as 42°.

Therefore, the value of CFD will be:

= 102° - 42°

= 66°

The value of CFD is 66°.

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To sketch the curve with the given vector equation r(t) = t, 6 − t, 2t and indicate with an arrow the direction in which t increases, we need to find the points on the curve and then connect those points.

1. Let's put t = 0 in the given vector equation r(t) = t, 6 − t, 2t to find the first point on the curve.

r(0) = 0, 6, 0

Thus, the point on the curve is (0,6,0).

2. Let's select some values of t and put them in the given vector equation to find some additional points on the curve.

When t = 1,r(1) = 1, 5, 2

When t = 2,

r(2) = 2, 4, 4

When t = 3,

r(3) = 3, 3, 6

When t = 4,

r(4) = 4, 2, 8

When t = 5,

r(5) = 5, 1, 10

When t = 6,

r(6) = 6, 0, 12

Thus, we have found some points on the curve, which are (0,6,0), (1,5,2), (2,4,4), (3,3,6), (4,2,8), (5,1,10), and (6,0,12).

3. Now, we can connect these points to sketch the curve.

4. Finally, we indicate with an arrow the direction in which t increases.

We can see that as t increases, the curve moves in the direction of the arrow, which is along the positive x-axis. Thus, we can conclude that the direction in which t increases is along the positive x-axis.

Answer:

Therefore, the curve and the direction in which t increases are shown below in the image.

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Answer:

1.20 percent

Step-by-step explanation:

Answer:

a) π

b) 33.4

Step-by-step explanation:

C = πd

1) substitute 105 for C: 105 = πd

2) plug in approximate value of 3.14 for π: 105 = (3.14) d

3) isolate to solve for d: 105/3.14 = d

4) simplify: 105/3.14 ≈ 33.4

Simplified it would be \(\frac{11}{10}\).

Answer:

− (8b − x) (5b + x)

Step-by-step explanation:

A - Growth (25%)

B- Growth (75%)

C - Growth

D - Growth (100%)

E - Growth (99%)

An rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay.

The term "exponential decay" in mathematics refers to the process of a constant percentage rate reduction in an amount over time. It can be written as y=a(1-b)x, where x is the amount of time that has passed, an is the initial amount, b is the decay factor, and y is the final amount.

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a) TRUE. The quadratic regression model = b0 + b1x + b2x2 allows for one sign change in the slope capturing the influence of x on y. This means that the slope of the line can either increase or decrease as x increases, depending on the sign of the coefficient b2.

b) TRUE. The quadratic regression model = b0 + b1x + b2x2 reaches a maximum when b2 < 0. This is because the coefficient b2 determines the shape of the curve, and when it is negative, the curve opens downwards and reaches a maximum point.
c) TRUE. The fit of the regression equations = b0 + b1x + b2x2 and = b0 + b1x + b2x2 + b3x3 can be compared using the coefficient of determination R2. R2 is a measure of how well the regression model fits the data, and can be used to compare the fit of different models. However, it is important to note that R2 should not be the only factor used to compare models, and other criteria such as residual plots and significance of coefficients should also be considered.

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The correct expression for Jorge's age is (14 ÷ 2) + 3

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, Maya is 14 years old. Her brother Jorge is 3 years more than half her age.

We need to determine an expression for Jorge's age,

So, If you divide her age by two and add 3 then you will get Jorge age and that is what the question is asking,

i.e. (14 ÷ 2) + 3

Hence, the correct expression for Jorge's age is (14 ÷ 2) + 3

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Answer:

So the answer is going to be 68.  The reason is because 3 is 68 and since want the angel that is going to be coming off of that it would need to be the same because they are reflections of eachother.

Step-by-step explanation:

Answer:

2.5 scoops of flour

Step-by-step explanation:

We know

A recipe calls for 2 3/4 cups of flour

2 3/4 = 11/4

Stephanie has 1/4 cup

How many scoops of flour would Stephanie need?

11/4 - 1/4 = 10/4 = 5/2 = 2.5 scoops of flour

So, Stephanie needs 2.5 scoops of flour.

Given the decimal value 8.05.

First we need to express as a fraction as shown;

8.05 = 805/100

Write in ots simplest form

805/100 = 5 * 161/5*20

805/100 = 161/20

Hence the decimal 8.05 as an improper fraction is 161/20

Express as mixed fraction;

161/20 = [(20*8) + 1]20

161/20 = (20*8)/20 + 1/20

161/20 = 8 + 1/20

161/20 = 8 1/20

Hence the deco

The average monthly temperature for July is $90 degrees Fahrenheit.

To calculate the average monthly temperature for July, we need to determine the value of y when t corresponds to July.

In the given equation, y = 70.5 + $19.5sin[(π/6)(t - 4)], t represents the number of months, with t = 1 representing January.

Since July is the seventh month of the year, we can substitute t = 7 into the equation to find the average monthly temperature for July:

y = 70.5 + $19.5sin[(π/6)(7 - 4)]

= 70.5 + $19.5sin[(π/6)(3)]

= 70.5 + $19.5sin[π/2]

= 70.5 + $19.5(1)

= 70.5 + $19.5

= 90

Hence the temperature in july is 90 degree farenheit.

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Answer:

Let the number(second) be "P"

The first number= 4×P = 4P

4P + P = 50

5P = 50

P = 50

5

P = 10(second number)

First number = 4×10 = 40

Therefore the numbers are 40 and 10

Answer:

$305.9022863 or $305.90 (rounded to 2 decimal places)

Step-by-step explanation:

It is a compound interest, meaning an interest accumulates on an initial amount every period. The formula  

A= P(1+R)^n

A= the total amount P=Initial amount       R= rate  n=time period

P=$100 R=15% or 0.15(decimal)  n=8 (years)  

A= 100 (1.15)^8

A= 100(3.059022863)

A=305.9022863

The amount you will have after 8 years is $220

The formula for calculating simple interest is expressed as:

SI =PRT

P is the principal = $100

T is the time = 8 years

R is the rate. = 15%

SI = 100 * 8 * 0.15
SI = $120

Amount after 8years = $100 + $120
Amount after 8years = $220

Hence the amount you will have after 8 years is $220

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Given statement  is :- The value of f(0) is -3.

Among the given options, the correct answer is C. -7.

The F0 value is defined as the thermal lethality time required to eliminate all microorganisms present in foods, by exposing them to a temperature of 121.1ºC and it is expressed in minutes. In fact, F0 can also be expressed as F121.1, and both forms are correct.

"F0" is defined as the number of equivalent minutes of steam sterilization at temperature 121.1 °C (250 °F) delivered to a container or unit of product calculated using a z-value of 10 °C.

To find the value of the function f(x) at x = 0, we need to determine which part of the piecewise function to use.

Since x = 0 is less than 9, we use the function f(x) = x - 3 when x < 9.

Plugging in x = 0 into f(x) = x - 3, we get:

f(0) = 0 - 3

f(0) = -3

Therefore, the value of f(0) is -3.

Among the given options, the correct answer is C. -7.

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Step-by-step explanation:

I am not sure I understand the question with all the typos and potentially missing parts.

as I understand it, it will take her 4 hours to reach her destination when going 15 mph.

and the question is how long the trip will take, if she travels at 12 mph.

4 h × 15 m/h = 4 × 15 m = 60 miles

that is the distance of her trip.

when going slower, the distance is of course still the same, only the needed time changes :

x h × 12 m/h = 60 m

x × 12 m = 60 m

x = 60/12 = 5 hours

the trip would take her 5 hours to complete (instead of 4).

An outlier can falsely indicate correlation when there is none by distorting the overall trend. It can also mask correlation when present by offsetting the relationship.

An outlier is a data point that deviates significantly from the overall pattern or trend in a dataset. It can have different effects on the appearance of correlation depending on its characteristics and position.

An outlier can falsely indicate the presence of correlation when there is none by distorting the overall trend. If an outlier falls in a position that aligns with the expected correlation, it may create the illusion of a relationship. This is represented by option C, where the outlier is located in a place where the correlation would predict.

Conversely, an outlier can mask the presence of correlation when it actually exists. If the outlier is far separated from the rest of the data points, it can disrupt the overall pattern and weaken the observed correlation. This corresponds to option B, where the outlier is significantly separated from the main cluster.

In general, it is reasonable to ignore outliers when studying correlations if they are deemed to be influential or resulting from measurement errors or other exceptional circumstances. However, careful consideration and judgment are necessary before excluding outliers, as they may contain valuable information or represent genuine characteristics of the data.

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