A triangle has two sides of length 6 and 19. What is the largest possible whole-number length for the third side?

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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Answer:9

Step-by-step explanation:

the square root of 87 is 9.32737905309 which rounds to 9

B) 5x-4 = 3\(x^2\) has no real solution

To check real solution of a quadratic equation we have to check for discriminant value of each equation a\(x^2\) + bx +c is given by :

D =b^2 - 4ac.

if D<0 then equation have no solution.

now we need to check for each option the D value

Option A:

Therefore, the discriminant of the equation x^2 - 3x - 7 is (-3)^2 - 4(1)(-7) = 9 + 28 = 37.

Option B:

The discriminant of the quadratic equation 3x^2 - 5x + 4 is the value of b^2 - 4ac, which is (5)^2 - 4(3)(4) = 25 - 48 = -23. A negative discriminant (-23) would indicate that the equation has no real solutions, meaning it has no solutions in real numbers.

so option B  which is 5x-4 = 3\(x^2\) have no real solution.

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Complete question:

Which of the following equations has no real solutions?

A. \(x^2\) +3x=7

B. 5x-4 = 3\(x^2\)

C. \(x^2\) +1 = 3x

D. 2\(x^2\) +5x=3

The center lane with solid and broken yellow lines used by vehicles turning left in both directions is called a Two-way Left-Turn lane. The correct  option A. This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.

What is a two-way left-turn lane?A two-way left-turn lane is a center lane with solid and broken yellow lines used by vehicles making left turns in both directions. It is also known as a median lane, a center left-turn lane, and a center two-way left-turn lane.

This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.Only left-turning traffic should use the lane. It's illegal to drive in this lane for more than 300 feet, pass other cars in the lane, or turn left from other lanes when a two-way left-turn lane is present. It is used in order to lessen the amount of crashes and lower traffic congestion in both directions, hence it helps in making the traffic flow smoothly.

A center lane with solid and broken yellow lines used by vehicles turning left in both directions is known as a Two-way Left-Turn lane.

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Answer: 7

Step-by-step explanation:

7x1x1=7/1=7

The height of the flagpole is approximately 16.21 meters to the nearest hundredth of a meter. Let's denote the height of the flagpole as 'h'.

To find the height of the flagpole, we can use the trigonometric relationship between the angle of elevation and the height and shadow of an object.

We know that the tangent of the angle of elevation is equal to the ratio of the height to the shadow length:

tan(42°) = h / 18

To find the value of 'h', we can rearrange the equation:

h = 18 * tan(42°)

Using a calculator, we can calculate the value of tan(42°) ≈ 0.9004.

Now, substituting the value back into the equation, we have:

h ≈ 18 * 0.9004 ≈ 16.2072

Therefore, the height of the flagpole is approximately 16.21 meters to the nearest hundredth of a meter.

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Answer:

v3+2v2−21v+21/v+6

Step-by-step explanation:

There are no solutions to this equation

Answer:

32

Step-by-step explanation:

I just know that it's the answer

Answer:

1. Always translate the question stem, set up equations (limit the number of variables) and breakdown the question stem of possible

2. Never overlook the constraints the question provides.

Now the question stem tells us that on the

1st day Joe earned = x

2nd day = 2x

3rd day = 4x

4th day = 8x

Question stem: Did Joe earn less than $35 on the 4th day -----> 8x < 35 ----> x < 4.375

Since x is an integer, the question becomes 'Is x <= 4

Statement 1 : Joe earned more than $120 in total for the first five days he worked in December.

x + 2x + 4x + 8x + 16x > 120

31x > 120 ---> x > 3.9....

This gives us both a YES and a NO since x can be 4 or any integer greater than 4

Statement 2: Joe earned less than $148 on the 6th day he worked in December

32x < 148 ----> x < 4.625

Since x is an integer, x <=4. Sufficient.

hope this helps

-lvr

The slope of the ideal vector, determined by examining the coefficients of the variables in the regression equation is:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6.

In this case, the regression equation is:

Overall Preference = -2.1 + 2.3 * Cleaning Ability + 1.0 * Cost + 0.6 * Disinfecting Ability

The coefficients of the variables represent the weights or importance assigned to each variable in determining the overall preference. Therefore, the slope of the ideal vector would be the coefficients of the variables in the regression equation.

Based on the given regression equation, the slope of the ideal vector would be:

Cleaning Ability: 2.3

Cost: 1.0

Disinfecting Ability: 0.6

These values indicate the relative importance or impact of each variable on the overall preference for Slippery Soap.

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Answer:

The answer is 6.

Step-by-step explanation:

A negative and a negative makes a positive when the problem is written as
x - (-x)

So 2 - (-4) equals 2 + 4

which is simply 6

Answer:

6

Step-by-step explanation:

Two negatives cancel out a positive.

2-(4) should turn into 2 +4

2+4 =6

Answer:

-6x^2-1

Step-by-step explanation:

Find value

f(x)=-2x^2. g(x)=3x-1. Find g(f(x))

Solution:

f(x)=-2x2

g(x)=3x-1

g(f(x))=?

f(x)=-2x2,g(x)=3x-1,gof(x)=?

gof(x)=g(f(x))

Solution:

f(x)=-2x2

g(x)=3x-1

g(f(x))=?

f(x)=-2x2,g(x)=3x-1,gof(x)=?

gof(x)=g(f(x))

=g(-2x2)

=3⋅(-2x2)-1

=-6x2-1

gof(x)=-6x^2-1

Step-by-step explanation:

Radius of the circle is 20mm.

Use the formula for the area of the circle.

A = r^2 * π

A = 20^2 * π

A = 1256.64 mm^2 (2 d.p.)

The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C

How to determine vector field?

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.

Taking the curl of F, we have:

curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

Evaluating the partial derivatives, we get:

curl(F) = (z - z) i + (x - x) j + (y - y) k

= 0

Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:

f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)

∫xzeyzj dy = xy²ezj + g₂(x, z)

∫xyeyzk dz = xyzek + g₃(x, y)

Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:

f(x, y, z) = xeyzi + xy²ezj + xyzek + C

Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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To solve for the diameter and radius of a cone with a volume of 8 and a height of 6, we need to use the formulas for the volume and surface area of a cone.

The volume of a cone is given by the formula:

V = 1/3 * π * r^2 * h

where V is the volume, r is the radius, h is the height, and π is the mathematical constant pi (approximately 3.14).

We know that the volume is 8 and the height is 6, so we can plug these values into the formula and solve for the radius:

8 = 1/3 * π * r^2 * 6

r^2 = 8/(π*6/3)

r^2 = 4/π

r = √(4/π)

r ≈ 0.798

The radius is approximately 0.798.

To find the diameter, we simply multiply the radius by 2:

d = 2 * r

d ≈ 1.596

Therefore, the diameter is approximately 1.596 and the radius is approximately 0.798.

The given function is f(x) = (4-x)/29. We need to find the x-values where f is not continuous and determine whether the discontinuities are removable or nonremovable.

For this function, there are no nonremovable discontinuities. The only type of discontinuity that could occur is a removable discontinuity. This occurs when a point is undefined, but the limit exists and is finite. In other words, the function can be made continuous by redefining it at that point.

To find any possible removable discontinuities, we need to find the values of x for which the denominator becomes zero, because division by zero is undefined. The denominator is always 29, which is never zero, so there are no values of x for which the denominator is zero. Therefore, there are no removable discontinuities.

In conclusion, the function f(x) = (4-x)/29 is continuous for all values of x, and there are no removable or nonremovable discontinuities.

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Answer:

Combine like terms

2 + − 4

3x − 4y

Answer:

\(3x-4y\)

Step-by-step explanation:

\(2x+x-4y\)

If a term doesn't have a coefficient , it is considered that the coefficient is 1

\(2x+1x-4y\)

Why is it considered that the coefficient is 1?

Remember that any term multiplied by 1 remains the same:

\(1.x=x\)

Step 1

The equality can be read in the other way as well , so any term can be written as a product of 1 and itself:

\(x=1 . X \\\)

Step 2

Usually, we don't need to write multiplication sign between the coefficient and the variable , so the simpler form is:

\(x=1x\)

That is why we can write the term without the coefficient as a term with coefficient 1.

Let's go back to your problem now

Collect like terms by adding their coefficients

\((2+1)x-4y\)

Add the numbers

\(3x-4y\)

PLEASE MARK ME AS BRAINLIEST

Answer:

The first one will be 16.9

The second one will be

\(8 \sqrt{2} \)

Step-by-step explanation:

Hope this Helped

Answer:

The store sold 20 more ink jet printers than laser printers.

Step-by-step explanation:

Since the store sold 100 printers, you can say that the result of adding up the numbers of each type of printers sold is equal to 100, which is:

x+y=100, where:

x is the number of ink jet printers sold

y is the number of laser printers sold

Also, you know the amount the profit the store gets for each type of printer and the total profit received on Monday which means that adding up the results of multiplying each type of printer for its price is equal to the total profit, which can be expressed as:

40x+55y=4,600

Now, you have two equations:

x+y=100 (1)

40x+55y=4,600 (2)

You have solve this system of equations to find the number of ink jet and laser printers that were sold. First, you have to solve for x in (1):

x=100-y (3)

Then, you have to replace (3) in (2) and solve for y:

40(100-y)+55y=4,600

4000-40y+55y=4,600

15y=600

y=600/15

y=40

Finally, you can replace the value of y in (3) to find the value of x:

x=100-40

x=60

Now that you know that the store sold 60 ink jet printers and 40 laser printers, you can find the difference between this numbers to be able to know how many more ink jet printers were sold:

60-40=20

According to this, the answer is that the store sold 20 more ink jet printers than laser printers.

The polar curve is r = 100/(θ^2) + 1 for θ ≥ 0. We need to find the instantaneous rate of change of r with respect to θ when θ = 0.To find the instantaneous rate of change of r with respect to θ, we need to find the derivative d r/dθ of the function r.

Using the quotient rule of differentiation, we get: d r/dθ = [d/dθ(100/(θ^2))] - [d/dθ(1)] / (θ^2)²= [-200/(θ³)] / (θ^4)= -200/(θ^7)Now, we need to find the instantaneous rate of change of r with respect to θ when θ = 0. To do that, substitute θ = 0 in the derivative we just found. We get :d r/dθ |θ=0 = -200/(0^7) = -200/0 (which is not defined)Therefore, the instantaneous rate of change of r with respect to θ when θ = 0 is undefined (since we cannot divide by zero).Hence, the correct option is not given in the options above.

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Answer:

D. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

A. quadratic; y = 2.5x2

Step-by-step explanation:

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

   = -2.5

  = 2.5

  = 7.5

2nd difference,

   = 5

  = 5

  = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

The equation given, 5x + 10y, does not represent the total amount of fiber in a package containing x apples and y oranges.

To calculate the total amount of fiber in a package containing x apples and y oranges, you would need to know the amount of fiber in each apple and orange and the number of apples and oranges in the package.

For example, if each apple contains 3 grams of fiber and each orange contains 2 grams of fiber, and there are x apples and y oranges in the package, the total amount of fiber in the package would be:

Total fiber = (3 grams of fiber per apple)(x apples) + (2 grams of fiber per orange)(y oranges)

Total fiber = 3x + 2y grams

what is number?

A number is a mathematical concept used to represent quantity or magnitude. Numbers can be used to count objects, measure distances or sizes, perform calculations, and describe various other mathematical concepts. The most basic types of numbers are the natural numbers, which include all positive integers (1, 2, 3, ...), and sometimes zero (0) as well. Other types of numbers include fractions, decimals, negative numbers, complex numbers, irrational numbers, and more. Numbers are a fundamental concept in mathematics and are used extensively in many fields, including science, engineering, economics, and finance.

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Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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Answer:

(0,-5)

2(0) - 5

y = -5 when x = 0

To find the values of f(a), f(a-1), and f(a+1) when f(x) = x^2 + 4x + 6, So, the values are:  f(a) = a^2 + 4a + 6, f(a-1) = a^2 + 6a + 3, f(a+1) = a^2 + 6a + 11.

we simply substitute the given values of a into the function.
1. f(a) = a^2 + 4a + 6
2. f(a-1) = (a-1)^2 + 4(a-1) + 6 = a^2 + 2a + 1 + 4a - 4 + 6 = a^2 + 6a + 3
3. f(a+1) = (a+1)^2 + 4(a+1) + 6 = a^2 + 2a + 1 + 4a + 4 + 6 = a^2 + 6a + 11
So, the values are:
1. f(a) = a^2 + 4a + 6
2. f(a-1) = a^2 + 6a + 3
3. f(a+1) = a^2 + 6a + 11

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If K is the midpoint of JL, JK = MN, LM = 3JK, and JN = 78, The value of LN will be 52. Option C is correct.

The area of arithmetic operations encompasses the study of numbers and their operations, which are essential to all other branches of mathematics. These systems use the four operations of addition, subtraction, multiplication, and division as their foundation.

It is given that, K is the midpoint of JL, JK = MN, LM = 3JK, and JN = 78,

The entire line, or JN, equals 78. We discovered that LM equals three points and that JK, KL, and MN are all equal. The line, therefore, has a total of 6 sections. For a sixth of the line, you get 13 by dividing 78 by 6. Now, all you need to do to find LN is be aware that LM is 13 times three. Simply add one additional 13 from Minnesota.As a result,

LN=13 x 4

LN= 52

Thus, the value of LN will be 42. Option C is correct.

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