If KLM = ONM which of the following is true? (Please refer to the picture for the full question as I cannot type all of it)

Answer: No solution

Step-by-step explanation:

9514 1404 393

Answer:

  a) a straight line

  b) a hyperbola

Step-by-step explanation:

a) When a = v/r is plotted against v as the independent variable, it will be a straight line through the origin with a slope of 1/r.

__

b) When a = v/r is plotted against r as the independent variable, it will be a hyperbola with a "constant of proportionality" of v. Here, a is inversely proportional to r.

The Solomon four-group design includes two control groups: one that is not pretested and does not receive treatment, and another that is not pretested but receives treatment.

In the Solomon four-group design, there are two treatment groups and two control groups. The purpose of this design is to examine the interaction effect between pretesting and treatment.

The first control group does not receive any treatment, while the second control group also does not receive treatment but is pretested. These two control groups help to measure the impact of pretesting on the dependent variable.

The two treatment groups receive the treatment being studied, with one group being pretested and the other group not being pretested. By comparing the pretested and non-pretested treatment groups, researchers can determine if there is an interaction effect between pretesting and the treatment.

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Answer:

-3.4

Step-by-step explanation:

"| |" are absolute value which means |-4| is actually 4. However, if there is a  negative outside of the lines, than the answer is negative.

Answer:

Yes

Step-by-step explanation:

Answer:

yes you can make an isosceles triangle

Answer:

3k/2 - k+3/3=8- k+2/4

(3k/2)x3 - (k+3/3)x2=(8)x4 - k+2/4

9k-2k-6/6 = 32-k-2/4

7k-6/6 = 30-k/4

(7k-6)x4 = (30-k)x6

28k - 24 = 180 - 6k

34k = 204

k = 204/34

k=6

Step-by-step explanation:

First, you multiply both sides by the numbers there to both the numerator and denominator, to get the same denominator. Then, simplify the answers in the second step. Next, cross multiply by multiplying the numerator of the left side to the denominator of the right side; and multiplying the numerator of the right side of the denominator of the left side. When you reach the fifth step, move -6k to the left side it will turn to +6k and add with 28k to get 34k. Move -24 to the right side it will turn +24 and add with 180 to get 204. Lastly, divide 204 by 34 to get k = 6.

Answer:

confidence interval = ( -0.38 , 0.08 )

Step-by-step explanation:

Given data :

n1 = 55 , n2 = 60 ,

Let P1 ( proportion of SUV sales at store A ) = 30 / 55 = 0.55

P2 ( sample proportion of SUV sales at store B ) = 42/60 = 0.70

The Z-value at 99% confidence Interval = 2.58

Determine the 99% confidence interval for difference in proportion

applying the formula below

( P1 - P2 ) ± Z ( \(\sqrt{p1( 1-p1)/n1 + p2(1-p2)/n2}\)

Input values above into equation

confidence interval = ( -0.38 , 0.08 )

The solution to the exponential equation 23x = 6 is x ≈ 1.585

Exponential refers to a mathematical operation or function that involves a constant base raised to a variable exponent. In other words, exponential functions are functions of the form f(x) = ab^x, where b is a positive constant and x is the exponent.

To solve the exponential equation 23x = 6, we can use logarithms. Specifically, we can take the logarithm of both sides of the equation with base 2, which is the base of the exponent, to eliminate the exponent and solve for x.

Here are the steps to solve the equation:

Step 1: Take the logarithm of both sides of the equation with base 2.

log2(23x) = log2(6)

Step 2: Use the rule of logarithms that states logb(xy) = y*logb(x) to simplify the left side of the equation.

x*log2(2^3) = log2(6)

Step 3: Simplify further by using the fact that logb(b) = 1.

3x*log2(2) = log2(6)

Step 4: Simplify further by using the fact that log2(2) = 1.

3x = log2(6)

Step 5: Divide both sides by 3 to isolate x.

x = (1/3)log2(6)

Step 6: Use a calculator to approximate the value of x.

x ≈ 1.585

Therefore, the solution to the equation 23x = 6 is x ≈ 1.585.

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The distance from the wall, that the ladder slipped during the day, would be 21 cm.

First, use the Pythagorean theorem to find the original height of the ladder from the wall:

50² + b² = 300²

2, 500 + b ² = 90, 000

b ² = 90, 000 - 2, 500

b = √ 87, 500

b = 295. 8 cm

We can then find the new distance from the wall to be :
= 50 + 70

= 120 cm

The new height of the ladder to show the slip would be:

120² + b² = 300²

14,400 + b ² = 90, 000

b ² = 90, 000 - 14, 400

b = √ 75, 600

b = 275 cm

The distance slipped is:

= 295. 8 - 275

= 21 cm

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The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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The error Justin made in his calculation is "He should have added the values in the numerator before dividing by 2".

The correct answer choice is option B

(x + y + 5) / 2

Where,

x and y are his parents’ current heights in inches,

Mom’s height = 54 inches

Dad’s height = 71 inches

Substitute into the expression

(71 + 54 + 5) / 2

= 130/2

= 65 inches

Justin's work:

( 71 + 54 + 5 ) / 2

= 71 + 27 + 5

= 103 inches

Therefore, Justin should have added the numerators before dividing by 2.

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The option that cannot have a Poisson distribution is The length of a movie. Thus, the correct answer is A.

The Poisson distribution is a discrete probability distribution that is used to describe the probability of a given number of events occurring in a fixed period of time or space if these events occur with a known constant rate and independently of the time since the last event.

In the case of the length of a movie, it is not a discrete event that can be counted, but rather a continuous measurement, so it cannot be described using the Poisson distribution.

Options b, c, and d are all discrete events that can be counted and therefore can be described using the Poisson distribution.

Thus, the correct answer is A. the length of a movie

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The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.

Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:

Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.

Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.

It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.

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The options are analyzed as follows:

1: The overline 0.729 means:

This is a non- terminating recurring decimal hence it is rational.

2: The nuumber 0.0195347... is a non terminating and non recurring decimal hence it is irrational.

3. The number -12 is rational since it is an integer.

4.The number 4.565656... is a non terminating recurring decimal hence it is rational.

5. The number given by:

Since square root of 2 is irrational and 3 is rational the product is irrational.

Also the decimal is non terminating non recurring hence it is irratonal.

So the options 2 and 5 are irrational.

Answer:

a reduction

Step-by-step explanation:

this is because its growing smaller

Answer: The table provided does not show a linear relationship

Step-by-step explanation:

Because the x moves in set intervals of 2, the y must also move in set intervals, but does not.  Alternatively, you may simple paste a copy of the table and choices.

Answer:

19/25

Step-by-step explanation:

7/10 + 6/100

= 70/100 + 6/100

= 76/100

= 19/25

So, the answer is 19/25

\(\bf \colorbox{black} {\bf {\textcolor{blue}{ }{ \bf { \textcolor{orange}{ }{ \bf{ \textcolor{cyan}{mathematics = }}}}}}}\)

(3×2-2)+(5×2+5×-1)=

(6-2)+(10-5)=

4+5=

\( \bf \textcolor{green}{ \underbrace{9}}\)

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

Let's simplify ~

\(\qquad \sf  \dashrightarrow \:(3 \times 2 - 2) + (5 \times 2 + 5 \times ( - 1))\)

Use BODMAS/PEDMAS rule here :

\(\qquad \sf  \dashrightarrow \:(6- 2) + (10 + ( - 5))\)

\(\qquad \sf  \dashrightarrow \:4 + (10 - 5)\)

\(\qquad \sf  \dashrightarrow \:4 + 5\)

\(\qquad \sf  \dashrightarrow \:9\)

Hope it helps you ~

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Answer:

angle AXG will be 40°

because AXG is vertically opposite to FXD

so they both will be equal

Given: Points (-9, 6) and (-3, 9)

Find:  The slope of the line that goes through those two points

Solution: In order to find the slope of the line that goes through the points that were provided we have to use the slope formula.  This formula subtracts the y-coordinates from each other and also the x-coordinates from each other to determine the rise/run which would give us the rate of change.

Plug in the values

Simplify the expression

Therefore, looking at the given options we can see that the best fitting one would be option A, 1/2.

Answer:

a) ½

Step-by-step explanation:

The slope of a line can be found using the following formula:

\(\sf m=\dfrac{y_2-y_1}{x_2-x_1}\)

We are given the points (-9, 6) and (-3, 9):

where:

y₂ = 9, y₁ = 6

x₂ = -3, x₁ = -9

Substitute the given values into the formula:

\(\sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{9-6}{-3-(-9)}\ \textsf{[simplify]}\\\\m=\dfrac{9-6}{-3+9}\ \textsf{[simplify]}\\\\m=\dfrac{3}{6}\ \textsf{[reduce]}\\\\m=\dfrac{3\div3}{6\div3}\\\\m=\dfrac{1}{2}\)

Therefore, the slope of the line through the points (-9, 6) and (-3, 9) is ½

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The money factor will be used to calculate Bob’s payment is 0.0033.

Given

Bob is thinking about leasing a car.

The lease comes with an interest rate of 8%.

The money factors can be converted to interest rates by multiplying by 2,400.

In the same vein, if the car dealer uses an interest rate, this can be converted to a money factor by dividing by 2,400.

\(\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}\)

Therefore,

The money factor will be used to calculate Bob’s payment is;

\(\rm APR = 2400 \times money\ factor\\\\Money \ factor = \dfrac{ARP}{2400}\\\\Money \ factor = \dfrac{0.08}{2400}\\\\Money \ factor =0.0033\)

Hence, the money factor will be used to calculate Bob’s payment is 0.0033.

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Answer:

✅ C. 0.00333

CORRECT ⬇️

Answer:

\(x=117.9^o\)

Step-by-step explanation:

Since you are given the three sides, use the law of cosines, that is:

\(2\,(50)\,(55) \,cos (x)=50^2+55^2-90^2\\cos(x)=\frac{-2575}{5500} =-\frac{117}{250} \\x=arccos(-\frac{117}{250})\\x=117.9^o\)

Answer:

  C.  142°

Step-by-step explanation:

You want the angle between vectors u=3i+√3j and v=-2i-5j.

There are a number of ways the angle between the vectors can be found. For example, the dot-product relation can give you the cosine of the angle:

  u•v = |u|·|v|·cos(θ) . . . . . . where θ is the angle of interest

You can find the angles of the vectors individually, and subtract those:

  u = |u|∠α

  v = |v|∠β

  θ = α - β

When the vectors are expressed as complex numbers, the angle between them is the angle of their quotient:

  \(\dfrac{\vec{u}}{\vec{v}}=\dfrac{|\vec{u}|\angle\alpha}{|\vec{v}|\angle\beta}=\dfrac{|\vec{u}|}{|\vec{v}|}\angle(\alpha-\beta)=\dfrac{|\vec{u}|}{|\vec{v}|}\angle\theta\)

This method is used in the calculation shown in the first attachment. The angle between u and v is about 142°.

A graphing program can draw the vectors and measure the angle between them. This is shown in the second attachment.

__

Additional comment

The approach using the quotient of the vectors written as complex numbers is simply computed using a calculator with appropriate complex number functions. There doesn't seem to be any 3D equivalent.

The dot-product relation will work with 3D vectors as well as 2D vectors.

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Answer:

Ang EDF

Ang DEF

Ang EFD

hope it helps

Answer: 51 sq units

Step-by-step explanation:

after plotting the vertices, the height of the triangle is 6 and the base is 17

A = 1/2(6)(17)

A = 51 sq units

The length of BC = 4 units and the length of BZ = 2.5 units.

In this question, we have been given a triangle ABC

We have been given the angle bisectors be BY and CZ.

Also, AB = 8, AY = 6, and CY = 3

We need to find the length of BC and BZ.

We apply the angle bisector theorem,

According to the angle bisector theorem we have;

AY/CY = AB/BC,

BZ/AZ = BC/AC

Consider,

AY/CY = AB/BC

6/3 = 8/BC

BC = 8/2

BC = 4 units

Now,

AC = CY + AY

AC = 3 + 6

AC = 9

and,

AZ = AB - BZ

AZ = 8 - BZ

consider BZ/AZ = BC/AC,

BZ/(8 - BZ) = 4/9

9 BZ = 32 - 4 BZ

(9 + 4)BZ = 32

13 BZ = 32

BZ = 2.5

Therefore, the length of BC = 4 units and the length of BZ = 2.5 units.

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Answer:

Step-by-step explanation:

Reflection over x-axis results in:

Therefore the new function is: