You are told that the following values represent four different correlation coefficients, r, labelled A to D as follows: A = -0.95 B = -0.3 C = 0.90 D = -0.88 Which of the following statements is corr

Answer: .

Step-by-step explanation:

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Answer:

I think 12 : 36 I not so sure though

Answer:

25

Step-by-step explanation:

Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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Given the list of symbols:

x, +, ( ), ÷

Let's determine the operations that should be completed first when solving an equation.

To solve an equation, we are always required to apply the PEMDAS theorem.

PEMDAS is an acronym for:

0. P,arentheses

1. E,xponents

2. M,ultiplication

3. D,ivision

4. A,ddition

5. S,ubtraction.

This shows the order in which the operations in an equation should be solved.

We can see that the first operation which is to be completed is the parenthesis.

Therefore, using the PEMDAS theorem, the operation that should be first completed when solving an equation is the parenthesis ().

ANSWER:

C. ( )

Answer: x = 5/2 or x = -1

Step-by-step explanation:

2x² - 3x - 5 = 0

↓ You split the middle term into 2 terms

2x² - 5x + 2x - 5 = 0

↓ Then factor the first 2 terms and last two terms separately

x(2x - 5) + (2x - 5) = 0

↓ And you factor it out

(2x - 5)(x + 1) = 0

↓ Then you have to apply the zero product property

2x - 5 = 0 or x + 1 = 0

↓ Rearrange variables to the left side of the equation

2x = 5

↓ Then divide both sides of the equation by the coefficient of variable

x = 5/2

or -------------------------------------------------------------

x + 1 = 0

↓ Rearrange variables to the left side of the equation

x = -1

Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

First of all, \(\frac{-1}{-2}\) is equal to \(\frac{1}{2}\) because a negative divided by a negative is positive. So now we've got \(2a^\frac{1}{2}\). Well, a fractional exponent, when simplified, is a root. For example, \(x^\frac{1}{3}\) is equal to \(\sqrt[3]{x}\), and \(x^\frac{2}{5}\) is equal to \(\sqrt[5]{x^2}\).

Now this is where people make mistakes. Remember, \(2a^\frac{1}{2}\) is really \(2*a^\frac{1}{2}\), which means only a is raised to the exponent. We would only raise 2a to the power of \(\frac{1}{2}\) if our term was \((2a)^\frac{1}{2}\). But since our term is \(2*a^\frac{1}{2}\) we raise a to the power of \(\frac{1}{2}\) which is the same as \(\sqrt[2]{a}\) or just \(\sqrt{a}\). Then we multiply that result by 2 and we have \(2\sqrt{a}\) which is fully simplified.

Answer:

8w/9

Hope that help <3

The answer statements,

a) True

b) False

c) True

IHI Insurance in the given question is implemented using the linear regression analysis because it is used in the question to calculate the value of the number of yearly claims led by policyholders for motor insurance (y) (x2).

As per the question, at random 500 policyholders were selected.

The range of ages of people are between 16 to 70 years

The price range for the cars is between $1100 to $52000

According to the linear regression equation given in the question,

⇒ I = 13 + (-0.5)x1i + (0.1)x2i

a) \(y^{i}\) = 13 + (0.5)x1i + (0.1)x2i

Given, x1i = 26, x2i = 20

⇒ \(y^{i}\) = 13 + (-0.5)(26) + (0.1)(20)

⇒ \(y^{i}\) = 2

Thus, it is not equal to the claim i.e. 28, so option b is false

According to the answer derived in option b,

We can see that the coefficient of x 1i is negative and such that it will be decreased by 0.5

Thus, option a is true

Now as the coefficient of x 2i is positive it will increase by 0.1

Thus, option c is true

Therefore, option a) is true, option b) is false and option c) is true.

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IHI Insurance has conducted a multiple linear regression analysis to predict the value of the number of annual claims incurred by a motor insurance policyholder (y)based on the age of the policyholder in years (x1) and the value of the car insured in thousands of dollars (x2). The analysis was based on a random sample of 500 policyholders. The ages in the sample ranged from 16 to 70 and the values of the cars in the sample ranged from $1,100 to $52,000. The multiple linear regression equation corresponding to IHI's analysis is y^i = 13 + (-0.5)x1i + (0.1)x2i.

Select whether the following statements regarding the multiple linear regression equation are true or false:

a 26-year-old policyholder with a car worth $20,000 is predicted to make 28 claims.

b) holding x2 constant, a one-year increase in x1 will result in a decrease of 0.5 in the predicted value of y.

c) holding x1 constant, a one thousand dollar increase in x2 will result in an increase of 0.1 in the predicted value of y.

It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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Answer:

121212

Step-by-step explanation:

f12121

Answer:

Step-by-step explanation:

Let's solve each problem one by one:

1. Adam has $2 and is saving $2 each day. Brodie has $8 and is spending $1 each day. After how many days will each person have the same amount of money?

Let's assume the number of days is represented by 'x'.

Adam's money after 'x' days = $2 + $2x

Brodie's money after 'x' days = $8 - $1x

To find the number of days when they have the same amount of money, we set up an equation:

$2 + $2x = $8 - $1x

Simplifying the equation:

$2x + $1x = $8 - $2

$3x = $6

x = $6 / $3

x = 2

Therefore, after 2 days, Adam and Brodie will have the same amount of money.

Answer: A. 5x + 4 = 3x - 2 (incorrect)

2. A number increased by 8 is equal to twice the same number increased by 7.

Let's represent the number by 'x'.

Equation: x + 8 = 2x + 7

Solving the equation:

x - 2x = 7 - 8

-x = -1

x = 1

Therefore, the number is 1.

Answer: D. x + 8 = 2x + 7 (correct)

3. Spot weighs 6 pounds and gains one pound each week. Buddy weighs 2 pounds and gains 2 pounds each week. After how many weeks will the puppies weigh the same?

Let's represent the number of weeks by 'x'.

Spot's weight after 'x' weeks = 6 + 1x

Buddy's weight after 'x' weeks = 2 + 2x

To find the number of weeks when they weigh the same, we set up an equation:

6 + 1x = 2 + 2x

Simplifying the equation:

x - 2x = 2 - 6

-x = -4

x = 4

Therefore, after 4 weeks, Spot and Buddy will weigh the same.

Answer: A. x + 6 = 2x + 2 (incorrect)

4. Five less than two times a number is equal to 4 less than the same number.

Let's represent the number by 'x'.

Equation: 2x - 5 = x - 4

Solving the equation:

2x - x = -4 + 5

x = 1

Therefore, the number is 1.

Answer: B. 2x - 5 = x - 4 (correct)

5. Ann has an empty cup and adds 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water?

Let's represent the number of seconds by 'x'.

Ann's water after 'x' seconds = 1x ounces

Bob's water after 'x' seconds = 12 - 2x ounces

To find the number of seconds when they have the same amount of water, we set up an equation:

1x = 12 - 2x

Simplifying the equation:

1x + 2x = 12

3x = 12

x = 12 / 3

x = 4

Therefore, after 4 seconds, Ann and Bob will have the same amount of water.

Answer: A. -2x + 12 = -x + 6 (incorrect)

6. Tom has

12 candies and eats 2 each minute. Sue has 6 candies and eats 1 every minute. After how many minutes will they have the same number of candies?

Let's represent the number of minutes by 'x'.

Tom's candies after 'x' minutes = 12 - 2x

Sue's candies after 'x' minutes = 6 - 1x

To find the number of minutes when they have the same number of candies, we set up an equation:

12 - 2x = 6 - 1x

Simplifying the equation:

-2x + 1x = 6 - 12

-x = -6

x = 6

Therefore, after 6 minutes, Tom and Sue will have the same number of candies.

Answer: A. -2x + 12 = -x + 6 (correct)

Answer:

37

Step-by-step explanation:

Angle 1 = Angle 2 = Angle 3 = Angle 4, we can infer.

A right angle is an angle with a measure that is exactly equal to 90 degrees (or /2).

We can observe that a transversal divides two parallel lines in the given diagram. Let's give the angles names:

The angle created by the junction of line m and line p is Angle 1, which is located in the top left corner.

The angle created by the intersection of line n and line p is Angle 2, which is located in the top right corner.

Line n and line q intersect at angle 3, which is located in the lower right corner.

The angle created by the junction of line m and line q is angle 4, which is located in the lower left corner.

As they are on the same side of the transversal and in corresponding locations with respect to the parallel lines, we can see that angles 1 and 2 are corresponding angles. When lines are cut by a transversal, corresponding angles are congruent, hence we know that:

1 + 2 = an angle.

Due to their placement on opposing sides of the transversal and in-between the parallel lines, angles 2 and 3 can also be seen to represent alternate internal angles. When lines are cut by a transversal, alternate inner angles are congruent, hence we know that:

2 + 3 = a right angle

As they are on the same side of the transversal and in corresponding locations with respect to the parallel lines, we can see that angles 3 and 4 are corresponding angles. When lines are cut by a transversal, corresponding angles are congruent, hence we know that:

Angle 3 = angle 4 =...

So, Angle 1 = Angle 2 = Angle 3 = Angle 4 follows.

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Answer:

244 cm³

Step-by-step explanation:

Step 1: Given data

Height of the prism with a pentagonal base (h): 8 cm

Area of the pentagonal base (A): 30.5 cm²

Step 2: Calculate the volume of the prism with a pentagonal base

We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.

V = A × h

V = 30.5 cm² × 8 cm = 244 cm³

The probability that at least 6 of these will have a mechanical defect is 0.1612.

For the given question;

At least six of the seven chosen has to have a mechanical defect.

So we add this same cases with exactly 6 mechanical defects and the cases with exactly 7 mechanical defects.

Number of possible approaches = ⁶C₂ + ¹⁹C₇ = 6!/2!4! + 19!/7!2!

= 27132 + 50388

= 77, 520

Calculated the total number of options to pick the seven keyboards as;

²⁵C₇ = 25!/7!18!

²⁵C₇ = 480,700.

As a result, the necessary probability = 77, 520/480,700 = 0.1612.

Thus, the probability that at least 6 of these will have a mechanical defect is 0.1612.

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The complete question is-

Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects.

If a sample of 7 keyboards is randomly selected, what is the probability that at least 6 of these will have a mechanical defect? (Round the answer to four decimal places.)

a). 115.26 is the upper bound of a 98% band (b). 93.36 to 116.63 is the 98% confidence interval (c). We have 98% confidence that the collected sample data will include the true worth of the population parameter.

By multiplying the total number of numbers by amount of all the numbers, one can approximate the average. A mean can be established by the average of such probabilities in a survey of data. In other words, an average is also known as the arithmetic mean. The average is referred to as having a mean.

\(\begin{aligned}& \mu=105 \\& \sigma_x=\frac{\sigma}{\sqrt{n}}=\frac{15}{\sqrt{9}}=5\end{aligned}\)

(a). The maximum 98% interval

\(=\mu+Z_{0.02} * S D=105+2.0537 * 5=115.2685\)

(b). 98 percent confidence band

\(\begin{aligned}& \left(\mu-Z_{\frac{0.02}{2}} * S D, \mu+Z_{\frac{0.02}{2}} * S D\right) \\& (105-2.3263 * 5,105+2.3263 * 5)=(93.3685,116.6315)\end{aligned}\)

(c). We have 98% confidence that the collected random sample would also include the true value of said population parameter.

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The complete question is-

Suppose you administer a certain aptitude test to a simple random sample of 9 students in your school, and that the average score is 105 . From past experience, scores on such a test among students like those at your school follow a Normal distribution. We want to determine the mean score \($\mu$\) of the population. Assume a standard deviation of \($\sigma=15$\) for the test.

(a). What is the upper critical value for a 98% confidence interval? (Show the key numbers in the sketch of the distribution.)

(b). Construct and interpret a 98% confidence interval for the mean score \($\mu$\). Follow the Inference Toolbox.

(c). Explain the meaning of 98 % confident.

Answer:

yes

Step-by-step explanation:

Answer:

x inntercept is 2

Step-by-step explanation:

Answer:

The answer is 140$ in her account. But if your asking what she owes and has in her account it's -110 since she still owes.

Step-by-step explanation:

Answer:$110

Step-by-step explanation: $250 owed- 180Payment =70. Then add the 40 spent (70+40) to get 110 owed

Answer:

Ayudame a ayudarte, sube la foto que no esté borrosa

para ayudarte

The response is written as (x,y)

To translate means to just move.

Answer:

A. Coordinates are (-1,-1)

b. Coordinates are (-1,-2)

c. coordinates are (3,-2)

d. coordinates are (3,2)

Step-by-step explanation:

You would begin by bringing each point down 4 and to the right 5. Then plot the new points. These are your new values.

Screenshot:

The perimeter of the playpen is 21 feet.

We have,

            -------------------

           |                      |

           |                      

   width                      |

           |                      |

           |                      |

            -------------------

                  length =

Let's label the width as w and one of the lengths as l.

Then we can use the formula for the area of a rectangle to find the other length:

Area = length x width

28 = l x w

l = 28 / w

Now we can substitute this expression for l into the formula for the perimeter of a rectangle:

Perimeter = 2 x length + 2 x width

Perimeter = 2(28/w) + 2w

Perimeter = 56/w + 2w

To find the value of w that gives the minimum perimeter, we can take the derivative of this expression with respect to w, set it equal to 0, and solve for w:

dP/dw = -56/w^2 + 2 = 0

56/w^2 = 2

w^2 = 28

w = √(28) = 2 √(7)

Now we can substitute this value for w to find the corresponding length:

l = 28 / w

l = 28 / (2 √(7))

l = 14 / √(7)

So the playpen has dimensions of approximately 2 √(7) by 14/ √(7), and the perimeter is:

Perimeter = 56/w + 2w

Perimeter = 56/(2 √(7)) + 2(2 √(7))

Perimeter = 28/ √(7) + 4 √(7)

Perimeter = (28 + 28)/ √(7)

Perimeter = 56/ √(7)

Perimeter ≈ 21.21 feet

Thus,

The perimeter of the playpen is 21 feet.

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The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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Answer:

-28

Step-by-step explanation:

-16 +(-12)

= -16 - 12

adding both of them,

= - 28

Answer:

  x = -3 or 7

Step-by-step explanation:

The zero product property tells you a product will be zero if and only if a factor is zero. This property is used to find the zeros of polynomial functions by factoring them, then considering the variable values that make the factors zero. The zero of a monic linear binomial factor will be the opposite of the constant in that binomial.

__

The factored form of the given polynomial is ...

  y = (x -7)(x +3)

The values of x that make these factors zero are ...

  x -7 = 0   ⇒   x = 7

  x +3 = 0   ⇒   x = -3

The zeros of the polynomial function are x = -3, and x = 7.

Answer:

240

Step-by-step explanation:

The rectangles area is 200 plus what the Triangles are which is 40. A=bxh/2

Answer:

240

Step-by-step explanation:

200 + 40

You can see the line in the middle of the triangles is perpendicular. Thus, below would be as well.

Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45