You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is -0.833. Can you be confident that your predicted value will be reasonably close to the actual value. Why or why not.

The lengths of the diagonals are approximately 10.6 cm and 31.8 cm.

To solve this problem, we can use the formula for the area of a rhombus, which is A = (d₁ x d₂)/2, where A is the area, and d₁ and d₂ are the lengths of the diagonals.

We are given that the area of the rhombus is 168 square centimeters, so we can substitute this value into the formula:

=> 168 = (d₁ x d₂)/2.

We are also given that one diagonal is three times as long as the other, so we can express the length of one diagonal in terms of the other: d₁ = 3d₂.

Substituting this expression for d₁ into the formula for the area, we get:

168 = (3d₂xd₂)/2 336 = 3d₂²2 d₂² = 112 d₂ = √(112) = 10.6 (to the nearest tenth of a centimeter)

Using the expression for d₁ in terms of d₂, we can find the length of the other diagonal:

d₁ = 3d₂ = 3(10.6) = 31.8 (to the nearest tenth of a centimeter)

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Answer:

3a-3b

Step-by-step explanation:

In such a scenario, relying on celestial observations such as the position of the sun, moon, and stars would likely be the primary means to estimate the time of year. Additionally, monitoring weather patterns, temperature fluctuations, and any other observable environmental changes on the island could provide some clues. However, determining the exact time of year would be more challenging without additional reference points or indicators.

If one were stranded on a desert island without a calendar or clock, there are several natural indicators they could use to determine the time of year:

By combining these observations and patterns, one could make a reasonable estimation of the time of year, despite the lack of a calendar or clock.

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Difference of -148 and 27 is -175.

Correct option is C.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-).

It is used to find difference of numbers.

Given numbers,

-148 and 27

Difference of numbers

= -148 - 27

= -175

Hence -175 is difference of the numbers -148 and 27.

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Answer:-175

Step-by-step explanation:

The function to be graph is

The function above is a linear equation, to graph this kind of function you only need to know two points and draw a line that goes through them

Let's use the cases in which x=1 and x=0, for simplicity

Those two are the point we will use to draw the graph

The two points on the plane look like this:

And the line we can draw through those two points looks like this:

Based on the number of members and the ratio in which they chose the types of film, the number who chose Action in the second week more than the first week is 6 people.

Assuming that the number of members is 99 members, the number who chose Action on the second week were:

= (7 / (5 + 7 + 6)) x 99

= 39 people

The number who chose Action in the first week:

= (5 / (2 + 5 + 8)) x 99

= 33

The difference is:

= 39 - 33

= 6 people

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a)

The value of dy/dx = sec² x

b)

tan 61° is approximately equal to √3 + 2°.

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

a)

We have y = tan x.

Differentiating both sides with respect to x, we get:

dy/dx = sec² x

Now, when x = 60°, we have:

dy/dx = sec² 60° = 2

This means that when Δx = 1°, Δy = (dy/dx) Δx = 2 x 1° = 2°.

b)

Using the approximation in part a, we can find an approximate value of tan 61° as follows:

tan 61° ≈ tan 60° + Δy

= y + Δy (since y = tan 60°)

= tan 60° + 2°

= √3 + 2°

Therefore,

a)

dy/dx = sec² x

b)

tan 61° is approximately equal to √3 + 2°.

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Step-by-step explanation:

Angle M = Angle R

47x - 17 = 32x + 28

15x = 45

x = 3

Angle M = 47(3) - 17 = 124°

Angle R = Angle M = 124°

Angle Q = 180 - Angle M = 56°

Angle N = Angle Q = 56°

The Upper Control Limit (UCL) for the X-chart is approximately 14.028.

To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).

The control limits for the X-chart can be determined using the following formulas:

\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)

\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)

In these formulas:

X-double-bar represents the overall average measurement.

MR-bar represents the average moving range.

A2 is a constant that depends on the sample size.

The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

In your case, the overall average measurement is 12.5, and the average moving range is 0.5.

Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)

\(\approx 3.267 - (0.15 \times 1.414)\)

≈ 3.267 - 0.2121

≈ 3.0559

Now, we can calculate the control limits for the X-chart:

\(UCL = X-double-bar + A2 \times MR-bar\)

\(= 12.5 + 3.0559 \times 0.5\)

= 12.5 + 1.52795

≈ 14.028

Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.

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The largest wedge in a pie chart will be Purple.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The color with the largest number of students is the one that will be represented by the largest wedge in the pie chart.

From the given data,

We see that the color with the largest number of students is purple, with 18 students.

Therefore,

The largest wedge in a pie chart will be Purple.

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Step-by-step explanation:

Given, 3x−2<2x+1

⇒3x−2x<1+2

⇒x<3orx∈(−∞,3)

The lines y=3x−2 and y=2x+1 both will intersect at x=3

Clearly, the dark line shows the solution of 3x−2<2x+1.

Answer:

Lo puedes poner en español?

Answer:

xnnxnfjfjtkkgknnvkc

Step-by-step explanation:

xjjdnnfbjz njsnnfjjfifk nsjfnnxjxjnfn hrbcbjqoldjcur bbcnbbbdn hdhdhruuireujr jsnnxkkkshefdh bxnfnc

Value of equation T - 40 = 3 T equals to 43.

Equation is a declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics. Simple algebraic equations with merely addition or multiplication to differential equations, exponential equations with exponential expressions, and integral equations are examples of different types of equations. They are employed to represent a number of physics laws. also see equation system. Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given

Equation

T - 40 = 3

Adding 40 on both sides,

T = 40 + 3

T = 43

Value of equation T - 40 = 3 is 43.

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Answer: C

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

To find the diameter of a circular swimming pool with a given radius, we need to use the formula: diameter = 2 x radius. In this case, the radius is given as 25.48 ft. Therefore, the diameter of the pool can be calculated as follows: diameter = 2 x 25.48 = 50.96 ft.

It's important to note that the length of the pool is not directly relevant to finding its diameter. The length usually refers to the distance between the two ends of the pool, while the diameter is the distance across the widest part of the pool. However, the length can be useful in determining the surface area and volume of the pool, which are important for maintenance and chemical treatment.

In summary, the diameter of the circular swimming pool with a radius of 25.48 ft is approximately 50.96 ft.

To find the diameter of a circular swimming pool, you need to use the given radius. The radius is the distance from the center of the circle to its edge. In this case, the radius of the swimming pool is 25 feet.

The diameter is simply twice the radius, as it is the distance across the entire circle, passing through the center.

To find the diameter, you can use the following formula:

Diameter = 2 * Radius

Substitute the given radius (25 feet) into the formula:

Diameter = 2 * 25 ft

Diameter = 50 ft

So, the diameter of the circular swimming pool is 50 feet.

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The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.

The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).

For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.

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Answer:

125/64

Step-by-step explanation:

I hope this helps

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

\(x =\frac{E-8f}{7}\)

Answer:

x = \(\frac{E-8f}{7}\)

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

\(\frac{E-8f}{7}\) = x

Answer:

gooddddd luuuuuuuccccccckkkkk

Answer:

<K = 55     <L = 55     <M = 70

Step-by-step explanation:

As it is an isosceles triangle, Two sides of the triangle will be equal and their angles will be equal too.

L and K are both = (4x + 3)

All angles in a triangle add up to 180

(4x + 3) + (4x + 3) + (5x + 5) = 180

4x + 3 + 4x + 3 + 5x + 5 = 180

13x + 11 = 180

13x = 180 - 11

13x = 169

x = 169/13

x = 13

<K = 4x + 3 = 4(13) + 3 = 55

<L = 4x + 3 = 4(13) + 3 = 55

<M = 5x + 5 = 5(13) + 5 = 70

The distance between the bird and its prey is 19 feet. The solution has been obtained by using trigonometry.

What is trigonometry?

The study of the sides, angles, and connections of the right-angle triangle is the main goal of the field of mathematics known as "trigonometry."

We are given that the angle on f depression between a bird and its prey is 70%.

This means that Theta = 70°

Also, the height of the bird from the ground is 18 feet.

Using trigonometry, we get

⇒sin theta = perpendicular side/hypotenuse

⇒sin 70 = 18/hypotenuse

⇒Hypotenuse = 18/sin 70

⇒Hypotenuse = 19.1 ≈ 19 feet

Hence, the distance between the bird and its prey is 19 feet.

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Answer:

3 ft

Step-by-step explanation:

We can use a ratio to solve

Using x as the length of the model

1           x

----- = -----------------

12            36 ft

Using cross products

1 * 36 = 12x

Divide each side by 12

36/12 = 12x/12

3 =x

Answer:

Step-by-step explanation:

\(\frac{1}{x}\) : \(\frac{12}{36}\)

12x and 36

divide 36 by 12

36/12 = 3

3in

Answer:

Step-by-step explanation:

(a) For y''+4y=sin2t+(2t+1)cos2t+tsint, we need to find a particular solution Y(t) using the method of undetermined coefficients.

Since the right-hand side of the equation contains sin(2t), cos(2t), and tsin(t), we can assume that the particular solution has the form:

Y(t) = A sin(2t) + B cos(2t) + Ct sin(t) + Dt cos(t) + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(b) For y''-4y'+4y=t^2(e^(2t)-1), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains t^2e^(2t) and t^2, we can assume that the particular solution has the form:

Y(t) = (At^2 + Bt + C)e^(2t) + Dt^2 + Et + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

(c) For y''+2y'+2y=3e^(-t)+2e(-t)cos(t)+4(t^2)e^(-t)sin(t), we need to find a particular solution Y(t) using the method of undetermined coefficients. Since the right-hand side of the equation contains e^(-t), e^(-t)cos(t), and t^2e^(-t)sin(t), we can assume that the particular solution has the form:

Y(t) = Ae^(-t) + (Bt + C)e^(-t)cos(t) + (Dt + Et^2) e^(-t)sin(t) + F

where A, B, C, D, E, and F are undetermined coefficients to be determined.

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The value is approximately equal to 12.0711°

While measuring angles, we use various units of measurements such as the degrees or the SI unit radians as per our convenience.

When we use the degree system, we can use the degree-minute-second or the degree decimal system as per our requirement of precision.

The angle in degree - minutes - seconds is 12°4'16"

We know that \(\frac{1}{60}\) of a degree is minute and \(\frac{1}{60}\) of a minute is a second.

Hence, \(\frac{1}{3600}\) of a degree is a second.

Therefore the angle \(\theta\) in degrees and decimal fractions of degrees will be:

\(\theta\) = \(12+\frac{1}{60}\) × 4 + \(\frac{1}{3600}\) × 16

 = \((12+\frac{1}{15}+\frac{1}{225} )\)°

The value is approximately equal to 12.0711°

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The given question is incomplete, complete question is:

The angle 12 degrees 4'16" is given in degrees, arcminutes, and arcseconds. How do you rewrite them in degrees and decimal fractions of degrees?

Answer:

They only add up to 128.2, so if they are asking for the final angle to equal 180, then it would equal 51.8.

Hope that this helps!

Answer:

more information

Step-by-step explanation:

Answer:

2, 2, 11, -57

Step-by-step explanation:

There is a 0.973 percent chance that there are more cautious internet users.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of sample

According to research provided, 70% of internet users are more cautious with their personal data when utilizing a public wi-fi hotspot. Therefore, there is a 0.70 percent chance that a randomly selected internet user will be cautious with their personal information.

The probability will be calculated as:-

P = 1 - ³C₀(0.70)⁰(0.30)³

P = 1 -  ( 0.30 )³

P = 1 - 0.027

P = 0.973

Therefore, there is a 0.973 percent chance that there are more cautious internet users.

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