1. A cargo ship sails from a point A on a bearing of 038⁰T for 5km to a point B. At B the ship changes course and sails for 7km on a bearing of 158ºT to a point C. Find the distance AC and the bear

A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable.

In experimental research, an independent variable is a variable that the researcher manipulates or systematically varies in order to study its effect on the dependent variable. It is called "independent" because it is not influenced by any other variables in the experiment, and its effects on the dependent variable can be observed and measured independently of any other factors.

Only when a possible design confound fluctuates systematically with the independent variable does internal validity come under threat. In other words, it might be challenging to distinguish between the effects seen on the dependent variable and the independent variable if there is a component that fluctuates consistently or predictably with changes in the independent variable. Internal validity is less likely to be threatened by random or unplanned variation.

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A threat to internal validity occurs only if a potential design confound varies systematically with the independent variable. This means that if the confound varies randomly or haphazardly, it is less likely to affect the results of the study.

This means that the confound is consistently related to the independent variable, making it difficult to determine if the observed effects are due to the independent variable or the confound. If the confound varies spontaneously or haphazardly, it is less likely to pose a threat to internal validity, as it would not be consistently associated with the independent variable.

However, if the confound is related to the independent variable in a consistent and predictable way, it can introduce bias and undermine the internal validity of the study. It is important for researchers to carefully control for potential confounds and ensure that any observed effects are truly due to the independent variable and not some other factor.

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Answer: The answer to this problem is the second choice “As the x-value increases by 1, the y-value decreases by 1/2, the x-intercept is -2.

Have a nice day!

Influential scores, indicated by large residuals, have a significant impact on the regression line when removed from the data. These points, characterized by extreme x or y-values, can alter the slope and intercept of the regression line, emphasizing their importance in regression analysis.

The correct statements about influential scores are i and ii.

i. Influential scores have large residuals because they have a strong effect on the regression line. This means that if we remove an influential score from the data, it will significantly change the slope and intercept of the regression line.

ii. Removal of an influential score sharply affects the regression line because influential scores have a large impact on the regression line. If we remove an influential score, it will significantly change the slope and intercept of the regression line.

iii. This statement is not true. An x-value that is an outlier in the x-variable may be indicative of a point being influential, but a y-value that is an outlier in the y-variable can also be indicative of a point being influential.

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The sampling method described below appears to be flawed because it is a voluntary response sample.

Survey sampling, as used in statistics, is the process of choosing a sample of constituents from a target population to perform a survey. The word "survey" can be used to describe a wide range of observational methods or procedures. Most frequently, a questionnaire meant to assess people's traits and/or opinions is employed in survey sampling. The topic of survey data collecting is various methods of contacting sample participants after they have been chosen. Sampling is done to cut down on the expense and/or labor required to survey the complete target population.

Voluntary response sample: The researcher asks members of a population to participate; participants can choose whether or not to participate.

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Answer:

G 0.48 hour

music 12% - tennis 10% = 2%

2% x 24 hrs = 0.48 h

Answer:

0.48

Step-by-step explanation:

Answer:

First = 49/4

Second = 539

Step-by-step explanation:

The dot product is 539, and the scalar projection of a onto b is 49/4

Vector is a quantity that has both magnitude and direction.

The scalar projection of a onto b is given by

\(\dfrac {a.b}{|b|}\)

a.b = |a| |b| cos\(\rm \theta\)

a.b = 21 *44 *(7/12)

a.b = 539

The dot product of a and b is 539.

The scalar projection is

= 539 / 44

= 49/4

Therefore, the dot product is 539, and the scalar projection of a onto b is 49/4.

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Answer:

x=6

Step-by-step explanation:

4(2x - 1) + 7 = 6x + x + 9

8x - 4 + 7 = 6x + x + 9

8x-6x-x=9+4-7

x=6

Answer:

X = 1

Step-by-step explanation:

4(2x-1)+7=6x+x+9

8x-4+7=6x+x+9

8x+3=7x+9

Subtract -8 from 8x and 7x

3=-1x+9

Subtract 9 from the 3 and the 9

-6=-1x

Divide the -6 by the -1

X=1

I hope this helps you out!

In the graph of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

The simple linear regression equation represents a linear relationship between a dependent variable and an independent variable. It can be written as y = ß0 + ß1x, where ß0 is the intercept and ß1 is the slope of the regression line.

The slope (ß1) determines the rate of change in the dependent variable (y) for each unit change in the independent variable (x). It represents the steepness or inclination of the regression line. The sign of ß1 indicates whether the line has a positive or negative slope, indicating the direction of the relationship between the variables.

Thus, in the context of the simple linear regression equation, the parameter ß1 is the slope of the true regression line.

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Answer:

4x+3=0 or x=-3/4

Step-by-step explanation:

9x+26+7x-17=2x-3x+5x

arrange all numbers with coefficient x at one side let's say the left hand side and constant or real numbers at the right hand side in doing that we get

9x+7x-2x+3x-5x=17-26

12x=-9

(12x)/3=-9/3

4x=-3

x=-3/4

Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

Answer:

-2q+5, choice a

Step-by-step explanation:

Lena received a $70 gift card from a coffee store and after buying some coffee that cost $8.02 per pound, she had $29.90 left on her card. So, Lena bought 5 pounds of coffee.

To find out how many pounds of coffee Lena bought, we can use the following steps:

$70 - $29.90 = $40.10

8.02 per pound × a = $40.10

a = \(\frac{$40.10}{$8.02}\)

  = 5 pounds

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Answer: 0.25

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

multiply by the recipricol

3x 4/3

3's cancel eachother out

answer is 4

The least of the integers in arithmetic mean of n consecutive odd integers is 3.

The formula to calculate average or arithmetic mean of evenly distributed set is -

Average = sum of first and last term/2

Keep the values in formula to find the least integer. Since these are consecutively arranged, the first number will be the least number.

10 = first number + 17/2

First number + 17 = 10×2

Performing multiplication on Right Hand Side

First number + 17 = 20

First number = 20 - 17

Performing subtraction

First number = 3

Hence, the least integer is 3.

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In random assignment design the subjects are not randomly assigned to an experimental group and control group.

The complete question:

"A researcher wishes to examine the effects of a new medical treatment on patients with Alzheimer's disease. The researcher plans to examine the effects on a group of randomly selected subjects. What is wrong with this design?

Select all that apply.

A. Subjects are not randomly assigned to an experimental group and

control group.

B. A control group is not used.

C. Only one researcher is used.

D. An entire population is not used."

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Step-by-step explanation:

Using Trigonometry,

tan33° = Opposite/Adjacent = GF/DF.

Therefore GF = DF * tan33°

= 235tan33° = 152.6.

Angle GEF = Angle EDG + Angle DGE

= 33° + 34° = 67°. (Exterior Angle Theorem)

Using Trigonometry,

sin67° = Opposite/Hypotenuse = GF/EF.

Therefore EF = GF / sin67°

= 152.6 / sin67° = 165.8.

Hence the answer is the 1st option.

Answer:

the answer is A. GF =152.6 and EG=165.8

GF= 235*(tan(33))

EG= 152.6/(sin(67))

Answer:

Simplifying

3x + -5 = 6x + -13

Reorder the terms:

-5 + 3x = 6x + -13

Reorder the terms:

-5 + 3x = -13 + 6x

Solving

-5 + 3x = -13 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

-5 + 3x + -6x = -13 + 6x + -6x

Combine like terms: 3x + -6x = -3x

-5 + -3x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0

-5 + -3x = -13 + 0

-5 + -3x = -13

Add '5' to each side of the equation.

-5 + 5 + -3x = -13 + 5

Combine like terms: -5 + 5 = 0

0 + -3x = -13 + 5

-3x = -13 + 5

Combine like terms: -13 + 5 = -8

-3x = -8

Divide each side by '-3'.

x = 2.666666667

Simplifying

x = 2.666666667

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

The co-terminal angle to 5π/6 in the unit circle is C. 17π/6

Co-terminal angles in a unit circle are angles that share the same terminal point

Given the angle 5π/6, we desire to find the angle that shares the same terminal point in the unit circle. We proceed as follows.

We know that x = 5π/6 + 2π

Taking the L.C.M which is 6, we have that

x = (12π + 5π)/6

x = 17π/6

So, the angle is C. 17π/6

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Answer:

A: first choice

x^4

Step-by-step explanation:

When you divide two powers with the same base, you subtract the exponents, not divide.

The step x^8/x^4 is correct.

The next step should be x^(8 - 4), not x^8/4.

The correct simplification is x^4.

Answer:

A: first choice

x^4

The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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The given expression is a simplified algebraic equation: (1/2) * a^2 - 3b + 2c. It represents a combination of variables a, b, and c with their respective coefficients.

Utilizing symbols and operations, an algebraic equation illustrates the equivalence or inequivalence of two expressions. These generated expressions may hold variables that have varying values.

The premise centered around calculus is to arrive at a solution by acquiring the correct value(s) of these variable(s), ultimately fulfilling the outlined specification in the problem. Algebraic equations can range from uncomplicated linear problems to elaborate polynomials and trigonometric functions.

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Answer:

the value of f(8) is 31

Step-by-step explanation:

To find the value of f(x) = 3x + 7 for x = 8, we need to substitute 8 in for x in the equation and perform the arithmetic.

f(x) = 3x + 7

f(8) = 3(8) + 7

f(8) = 24 + 7

f(8) = 31

\(f(x)=3x+7\) x = 8

Substitute 8 with x:

\(f(8)=3(8)+7\)

\(f(8)=24+7\)

\(\fbox{f(8) = 31}\)

Answer:

the answer is 3

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

im pretty sure

Problem 5

Answer: Yes the points are coplanar

------------------------

Explanation:

Note how all four points are in the same plane, aka face, along the top of the 3D block. The term "coplanar" simply means "all in the same plane", so that's why the points are coplanar.

In contrast, the set of points {H,J,K,Z} are not all coplanar because H,J,K are in the top plane, while Z is not.

===========================================================

Problem 6

Answer: line segments WX, XY, and XK

------------------------

Explanation:

All three lines mentioned above involve the letter X in some fashion. The order doesn't matter. Also, those lines intersect at the common point X.

===========================================================

Problem 7

Answer: point W

------------------------

Explanation:

The plane WXYZ is the bottom face, in which we can think of as the floor of the building. The segment HW is from the floor and goes up vertically. We can consider this to be like a pole beam of the structure. The plane and segment both have point W in common. Note that the letter "W" is found in the sequences WXYZ and HW, and it's the only common letter.

===========================================================

Problem 8

Answer: The points are not collinear

------------------------

Explanation:

To be collinear, the points must all be on the same straight line. We see that isn't the case with points W, X and Y.

===========================================================

Problem 9

I'm not entirely sure what your teacher is asking here, so I would ask for a second opinion.

Answer:

2 times 25 and 5 times 10, then add would give u $100 in total.

Any piece of luggage must have a length, width, and height combined that is less than or equal to 150 cm. A traveler requests to take a package with the maximum permitted volume. if the length and width are to be equal, then the dimensions would be 48*96*72

Any piece of luggage must have a length, breadth, and height combined that is 216 cm or less.

L+W+H=216 (because we want the max volume, we may ignore the "less than part" and set them equal) (since we want the max volume, we can ignore the "less than part" and set them equal)

L = W if the length and width are equal.

Let's construct this new equation by swapping L for W.

Arrange H to the left so that H=216-2W when 2W+H = 216

Consequently, what is volume V=L*W*H=W=W2*(216-2W) =216W2-2W3 div./dW=432W-6W?

2\s432W-6W^2=0

72w-w2=0 divided by 6 on both sides.

W = 72 L H = 72 cm

L=2W is the only item that has altered.

Given that L+W+H=216 and that V=L*W*H=2W*W*(216-3W) =432W2-6W, 3W+H=216

864W-18W2 x 3 V prime

Set V prime to 0, solve it by dividing both sides by 18, and you'll get W = 48. dimensions will be

48, 96, and 72 cm in width ,lenght and height

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1. The inverse function, f^(-1)(x) = (x + 2)/5.

2. The derivative of the inverse function, (f^(-1))'(x) = 1/5.

3. (f^(-1))'(3) = 1/5.

We know that a function is invertible if and only if it is one-to-one and onto. In this case, we can easily see that f(x) is a one-to-one function because different inputs always give different outputs, and it is also onto because any real number can be obtained as an output. Therefore, f(x) is invertible.

To find (f^-1)'(3), we need to use the formula for the derivative of the inverse function:

(f^-1)'(3) = 1 / f'(f^-1(3))

First, we need to find f^-1(x). We can do this by solving the equation y = 5x - 2 for x in terms of y:

y = 5x - 2

y + 2 = 5x

x = (y + 2) / 5

Therefore, f^-1(x) = (x + 2) / 5.

Now we can find f'(x):

f(x) = 5x - 2

f'(x) = 5

Next, we need to find f^-1(3):

f^-1(3) = (3 + 2) / 5 = 1

Finally, we can use the formula to find (f^-1)'(3):

(f^-1)'(3) = 1 / f'(f^-1(3)) = 1 / f'(1) = 1 / 5

Therefore, the answer is b) 1/15.

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Answer:

dependant brainliest pls

Step-by-step explanation: