The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?

In a nonexperimental method, relationships between variables are studied by making observations or measures of the variables of interest.

Research without either the manipulation of an independent variable, the random assignment of individuals to conditions or orders of conditions, or both, is referred to as non-experimental research.

The non-experimental study is entirely dependent on variables that the researcher has no control over. By whatever means, they cannot manipulate, control, or change the subjects. Thus, all they can do is continue their research while monitoring and interpreting their subjects.

It is safe to assume that a non-experimental research design is used when there is no specific cause-effect study problem and the researcher simply wants to grasp a topic in depth without constraining it with variables. They examine the natural phenomena as they take place.

Therefore, in a nonexperimental method, relationships between variables are studied by observing or measuring the variables of interest.

To learn more about non-experimental research, visit: https://brainly.com/question/28039772?referrer=searchResults

#SPJ4

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

The value of f(1) is equal to 7

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here f(x)=8x-2/2x putting x=1 we get

f(1)= 8-2/2

     = 7

Hence f(1) is equal to 7

Learn more about functions here:

https://brainly.com/question/28303908

#SPJ1

The probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

The Bayes theorem's assumption that the prior probabilities are known with certainty is one of its limitations. These probabilities, however, could not be known or be impossible to predict precisely in many real-world settings. Moreover, Bayes' theorem makes the assumption that each occurrence is independent, which may not necessarily be true in real-world circumstances.

Given that,

P(D) = 0.001

P(D') = 1- 0.001 = 0.999

P(T|D) = 0.99 (the test is 99% effective in detecting the disease)

P(T'|D') = 0.995

The Baye's theorem is given as follows:

P(A|B) = P(B|A) * P(A) / P(B)

Substituting the values:

P(T) = (0.99 * 0.001) + (0.005 * 0.999) = 0.00594

P(D|T) = (0.99 * 0.001) / 0.00594 ≈ 0.166

Hence, the probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

Learn more about Bayes theorem here:

https://brainly.com/question/29598596

#SPJ1

The complete question is:

Answer:

What exactly do you not understand maybe i can help

Step-by-step explanation:

The Radical Form (√x)  ,the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

The equation √x - 2 + 4 = x for x, we can follow these steps:

1. Begin by isolating the radical term (√x) on one side of the equation. Move the constant term (-2) and the linear term (+4) to the other side of the equation:

  √x = x - 4 + 2

2. Simplify the expression on the right side of the equation:

  √x = x - 2

3. Square both sides of the equation to eliminate the square root:

  (√x)^2 = (x - 2)^2

4. Simplify the equation further:

  x = (x - 2)^2

5. Expand the right side of the equation using the square of a binomial:

  x = (x - 2)(x - 2)

  x = x^2 - 2x - 2x + 4

  x = x^2 - 4x + 4

6. Move all terms to one side of the equation to set it equal to zero:

  x^2 - 4x + 4 - x = 0

  x^2 - 5x + 4 = 0

7. Factor the quadratic equation:

  (x - 1)(x - 4) = 0

8. Apply the zero product property and set each factor equal to zero:

  x - 1 = 0   or   x - 4 = 0

9. Solve for x in each equation:

  x = 1   or   x = 4

Therefore, the solutions to the equation √x - 2 + 4 = x are x = 1 and x = 4.

To know more about Radical form .

https://brainly.com/question/29153583

#SPJ8

Unknown, This is physically impossible to answer.

You need to give more information than that, or an image.

also what type of triangle is it obtuse acute right e.t.c.

Please put more information so i can answer this the correct way.

10 and 13 are the measure of the values of x and y respectively

The given diagram is a parallelogram with unknown values x an y.

Since the measure of sum of angles in a triangle is 180 degrees, hence we will take the measure of the angles in the triangle EFY to have:

70 + 7x - 5 + 45 = 180

110 + 7x = 180

7x = 180 - 110

7x = 70

x = 10

Similarly for the triangle EDY;

45 + 70 + 5y = 180

115 + 5y = 180

5y = 180 - 115

5y = 65

y = 13

Hence the measure of the values of x and y are 10 and 13 respectively

Learn more on parallelograms here: https://brainly.com/question/970600

#SPJ1

The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

<95141404393>

The length of Hayden shadow is 31.875 inches.

Equation is an expression which is used to show the relationship between two or more variables and numbers.

Let y represent Charlie height and x represent his shadow.

y ∝ x

y = kx

Charlie is 64 inches tall and casts a shadow of 30 inches. Hence:

y = 2.13x

If Hayden is 68 inches tall, hence:

The length of Hayden shadow is 31.875 inches.

Find out more on equation at: https://brainly.com/question/13763238

Answer:

8

Step-by-step explanation:

5x - 2y

5 ( 2 ) - 2 ( 1 )

10 - 2

8

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

\(\frac{1}{32768}\)

Step-by-step explanation:

\((4^{-2})^{5}\)

\((\frac{1}{4^{2} }) ^{5}\)

\((\frac{1}{8})^{5}\)

\(\frac{1}{32768}\)

Answer:

(1) 1 (2) 0

Step-by-step explanation:

Looking at 1) 2+x²+x;

The coefficient of x is 1 because we see +x in the express which is the same as 1 × x = x.

2) Looking at 2) 2-x²+x³

There is no expression with x but we have x^2 , x^3 . Hence the coefficient of x is 0 because 0×x =0

Answer:

1) 1 and 2) -1

Step-by-step explanation:

1) 2+x²+x

2) 2-x²+x³

Answer:

7.9m

Step-by-step explanation:

Area of square = length^2

62.41 = L^2

L= √62.41

so, L= 7.9m

Answer:

The answer is in pictures.

hope it helps:)

By decomposing the function into a series of sine functions with different frequencies. The graph of this function consists of line segments with slopes of 1 and -1. By using the Fourier sine series, we can represent this function as an infinite sum of sine terms with varying coefficients, capturing the periodic nature of the function.

1. To find the Fourier sine series of f(x) = |x| on the interval 0 < x < 1, we need to express it as an infinite sum of sine functions. Since f(x) is an odd function, the Fourier sine series will be used. The general form of the Fourier sine series for a function f(x) on the interval 0 < x < L is given by: f(x) = ∑[n=1 to ∞] Bn sin(nπx/L), where Bn is the coefficient corresponding to the nth term of the series. In our case, since L = 1, the series becomes: f(x) = ∑[n=1 to ∞] Bn sin(nπx)

2. To determine the coefficients Bn, we integrate both sides of the equation over the interval (0, 1) and use the orthogonality property of sine functions. Since the integral of the product of two different sine functions over the interval (0, 1) is zero, we obtain:

∫[0 to 1] f(x)sin(nπx)dx = ∑[n=1 to ∞] Bn ∫[0 to 1] sin^2(nπx) dx

3. Using the identity sin^2(nπx) = (1/2) - (1/2)cos(2nπx), the integral on the right-hand side simplifies to: (1/2)Bn = ∫[0 to 1] f(x)sin(nπx)dx. We can now compute the coefficients Bn by evaluating the integral on the right-hand side. By substituting f(x) = |x| into the integral, we get: (1/2)Bn = ∫[0 to 1] |x|sin(nπx)dx

4. To obtain the Fourier sine series representation, we need to calculate the coefficients Bn. However, calculating these coefficients can be quite involved and requires integrating the absolute value function multiplied by sine functions. Once the coefficients are determined, the Fourier sine series can be written as an infinite sum of sine terms, capturing the periodic behavior of the function f(x) = |x|. By summing up these sine functions with their respective coefficients, we can recreate the graph of the original function f(x), which consists of line segments with slopes of 1 and -1.

Learn more about Fourier sine series here: brainly.com/question/32261876

#SPJ11

Answer:

1. 2880

2. 16

Step-by-step explanation:

1. Split the bottom into 3 pieces since both sides are the same and the top is 5 inches. So the bottom will be 5 inches each.

Then calculate the rectangle by 5 * 12 * 24 = 1440

After that calculate one triangle prism by doing

5 * 12 * 24 / 2 = 720

Since they are the same multiply it

720 * 2 = 1440

Now find the total volume by adding them up

1440 + 1440 = 2880

2. You need 9 * 20 * ? to find the volume. Since the volume is the same which is 2880. Do 9 * 20 = 180 after that do 2880/180 to find 16.

Answer:

a) 15.52mm

b) 25.8275mm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, or the area to the left side of the curve. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, that is, the area to the right side of the curve.

A) What wing-span has an area of 0.1005 on it left side under the standard normal curve?

This is X when Z has a pvalue of 0.1005. So it is X when Z = -1.28.

\(Z = \frac{X - \mu}{\sigma}\)

\(-1.28 = \frac{X - 20}{3.5}\)

\(X - 20 = -1.28*3.5\)

\(X = 15.52\)

This wing-span is 15.52mm.

B) What wing-span has an area of 0.0480 on it right side under the standard normal curve?

This is X when Z has a pvalue of 1 - 0.0480 = 0.9520. So this is X when Z = 1.665.

\(Z = \frac{X - \mu}{\sigma}\)

\(1.665 = \frac{X - 20}{3.5}\)

\(X - 20 = 1.665*3.5\)

\(X = 25.8275\)

This wing-span is 25.8275mm.

Answer:

u=90

Step-by-step explanation:

Answer:

-92

Step-by-step explanation:

first you subtract 140 from 232 and that gies you

-u=92

then you divide by negitive 1

Answer:

Below.

Step-by-step explanation:

3 x 3 - 7 = 8 x 9

=> 9 - 7 = 72

=> 2 ≠ 72

The question could be mistyped. That is why the answer is coming like 2 ≠ 72, please fix it.

Answer:

Total profit after 10 years = \(\$5,277,064\)

Step-by-step explanation:

Let \(a_n\)  represent the profit in the nth year

Then \(a_{n+1}\)  represents the profit in year  \(n+\)1

\(\text{Common ratio } r = \dfrac{a_{n+1}}{a_n}\)

The sum of a geometric sequence is given by
\(S_n = a_1 \cdot \dfrac{1 - r^n}{1-r}\)

where
\(a_1 =\) first term
\(r =\) common ratio
\(n =\) number of terms

Calculation of r

To calculate r we see that the profit increases by 16% every year

16% = 16/100 = 0.16

If profit increases by 0.16, then next year's profit
= this year's profit(1 + 0.16)

= this year's profit x 1.16

r = 1.16 the ratio of a term to the previous term

In this problem we are given the first term as
\(a_1 = 247,500\) \(\text{ = profit in first year}\)
\(n = 10 =\) number of years

\(r = 1.16\)

Plugging these values into equation [1] for the sum we get
\(\begin{aligned}S_n &= a_1 \cdot \dfrac{1 - r^n}{1-r}\\\\&= 247500 \cdot \dfrac{1-1.16^{10}}{1-1.16}\\\\& = 247500 \cdot \dfrac{-3.41143}{-0.16}\\& = 247500 \cdot 21.3215\\& = 5277064\end{aligned}\)

Therefore the total profit after 10 years
= $5,277,064

Based on this facts, we may conclude that the cube is most likely fair because the experimental probability is quite close to the theoretical probability.

The theoretical chance of rolling a 2 may be estimated by dividing the number of potential outcomes by the number of ways to roll a 2.

Since the number cube has 10 sides,

The total number of possible outcomes is 10.

Therefore,

The theoretical probability of rolling a 2 is 1/10 or 0.1.

The experimental probability of rolling a 2 may be estimated by dividing the total number of rolls by the number of times a 2 was rolled.

In this case,

The number 2 appeared 520 times out of 5000 rolls.

Therefore,

The experimental probability of rolling a 2 is 520/5000 or 0.104.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

The inverse of the matrix a-1 = (1/9x + 45) × adj(a).

To find the inverse of the matrix a = [[9], [x], [-5], [-9]], we need to use the following formula:

a-1 = 1/det(a) × adj(a)

Where det(a) is the determinant of matrix and adj(a) is the adjoint of matrix a.

The determinant of a is 9x - 5(-9) = 9x + 45, so the inverse of a is:

a-1 = (1/9x + 45) × adj(a)

To know more about inverse of the matrix refer here:

https://brainly.com/question/4017205

#SPJ11

The differential equation that models this situation is dx/dt = kx(M - x) (option c).

To determine the differential equation that models the situation, let's analyze the problem statement.

The rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized.

Let's denote the number of words memorized as "a" and the number of words not yet memorized as "M - a" (where M is the total number of words in the list).

The problem states that the rate of memorization is proportional to the product of "a" and "M - a". We can express this mathematically as:

Rate of memorization ∝ a * (M - a)

To convert this proportionality into an equation, we introduce a positive constant k:

Rate of memorization = k * a * (M - a)

The left side of the equation represents the rate of change of the number of words memorized (da/dt), and the right side represents the product of "a" and "M - a" multiplied by the constant k.

Therefore, the differential equation that models this situation is:

da/dt = k * a * (M - a)

Comparing this with the given options, we can see that the correct choice is option C:

dx/dt = k * x * (M - x)

The complete question is:

At any time t > 0 the rate at which a person can memorize a list of M words is proportional to the product of the number of words memorized and the number of words that have not been memorized. If a denotes the number of words memorized at time t, which differential equation models this situation? Assume k is a positive constant.

A. dx/dt = kx

B. dx/dt = kx(x - M)

C. dx/dt = kx(M - x)

D. dx/dt = kt(M - t)

To know more about differential equation:

https://brainly.com/question/32524608

#SPJ4

Answer:

Step-by-step explanation:

factoring

e =

(a+1)(a-1-3(a+1))
= (a+1)(a-1-3a-3)

= (a+1)(-2a-4)

= -2(a+1)(a+2)

Answer: Should be 13

Step-by-step explanation:

The length of the segment M′E′ when segment ME  is rotated 270∘ counterclockwise about the origin is 13 inches.

Rotation of a figure is the transformation of it about a point in either clockwise or anticlockwise direction. By rotating, a figure changes the point of the figure.

For example, let suppose a line segment has the end point (0,3) and (0,6). By rotating it from one of its end point (0,3) 90 degree clockwise will change its location.

The new location of the line will be (0,3) and (3,3) as it is rotated  90 degree clockwise. Here, the initial length of the line is 3 units. After the rotation, the length is still 3 units long.

So, it can be concluded that rotation of a figure does not change the length of it.

The rotation of a line segment does not change the length of it. Hence, the length of the segment M′E′ when segment ME  is rotated 270∘ counterclockwise about the origin is 13 inches.

Learn more about the rotation of figure here;

https://brainly.com/question/26249005

Answer:

x = -2±i

Step-by-step explanation:

By causation we consider the events that causes another event to ocurr.

In this case, we can see that options A and D are scenarios that represents a causation between the two data sets

Answer:

k =14

Step-by-step explanation:

56/14 = 4