Karen works at a car dealership. She makes only $5 an hour, but for every car she sells, she makes $1,000 in commission. If Karen worked 200 hours this month and made a total of $6,000, how many cars did Karen sell this month?

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

 For this triangle   base =  9 m   height =  8 m

1/2 ( 9 ) ( 8) = 36 m^2

Total 816 triangles that can be formed using diagonals from a common vertex of a 21-gon.

In mathematics, a diagonal is a line joining two vertices of a polygon or solid whose vertices do not lie on the same edge. Diagonals are generally defined as oblique lines or slanted lines connecting the vertices of a shape. A diagonal is defined as a horizontal shape with sides/edges and corners. 

Solution of the given problem:

Firstly, choose 3 vertices of 21-gon which are not adjacent to each other.

Secondly, connect all three vertices to a common vertex.

Now, there are 18 vertices that are not adjacent to common vertex and there are now 18 diagonals that can be drawn to the common vertex up to these vertices.

To form a triangle using these diagonals, we need to choose 3 of these 18 vertices, this can be calculated using the binomial coefficient formula:

18 choose 3 = 18! / (3! * (18 - 3)!) = (18 * 17 * 16) / (3 * 2 * 1) = 816

Thus, total 816 triangles can be formed.

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Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A.

Yes, the vector v is necessarily orthogonal to w if v is in the image of the symmetric matrix A and w is in the kernel of A. This is due to the fact that for any symmetric matrix A, the image (column space) and kernel (null space) are orthogonal subspaces. Since v is in the image of A and w is in the kernel of A, their dot product must be zero, indicating orthogonality.

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Cutworm larvae, which can be harmful to plants, are approximately 4×10^-2 meters in length. In contrast, beneficial nematodes used to control cutworms are significantly smaller, measuring only about 2×10^-3 meters in length.

Beneficial nematodes serve as a natural predator to cutworm larvae, offering an effective means of biological control in gardens.

Despite their small size, these microscopic organisms play a crucial role in managing cutworm populations.

They are able to penetrate the bodies of cutworm larvae and release bacteria, which cause infections and ultimately lead to the death of the larvae.

By introducing beneficial nematodes to the soil, gardeners can employ an environmentally friendly method to combat cutworm infestations without resorting to chemical pesticides.

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Answer:

The first answer choice= y = 50x

Step-by-step explanation:

Because you find a point on the graph that is exactly on a point and divide the y by the x and you get the constant. THen in the answer choices only  y = 50x is a larger number than 25 which in this case is the constant!

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The square root of the decimal number is √0.0016 = 0.04

Here we can find the square root of the decimal number:

N = 0.0016

Notice that we can write this number as:

0.0016 = 16*10⁻⁴

Now we can take the square root of that, so we will get:

√(16*10⁻⁴)

We can distribute the square root to get:

√16*√10⁻⁴

These two are easy, we will get:

√16*√10⁻⁴ = 4*10⁻² = 0.04

That is the square root.

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The statement "the first step in the sampling design process is to determine the sample size" is false because according to the text, the first step in the sampling design process is to clearly define the target population.

The first step in the sampling design process is typically to define the target population and the research objectives.

This involves specifying the characteristics of the population under study and identifying the specific research questions or objectives that the sampling will address.

Once the target population and research objectives are established, the next steps in the sampling design process typically involve determining the appropriate sampling method (such as random sampling, stratified sampling, or cluster sampling) and selecting the sampling frame (the list or source from which the sample will be drawn).

After these initial steps, researchers can then consider factors such as the desired level of precision, confidence level, and variability in the population to determine the appropriate sample size.

The determination of the sample size usually comes after clarifying the research objectives and selecting the appropriate sampling method.

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Answer:

\(1. = \frac{18}{12} \)

\(2. = \frac{39}{30} \)

\(3. = \frac{5}{15} \)

\(4. = \frac{18}{14} \)

\(5. = \frac{13}{20} \)

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

  (c)  $1062.50

Step-by-step explanation:

The total of the rental and security deposits amounts to two and a half months' rent:

  2.5 × $425 = 1062.50

It will cost Blake $1062.50 to move in.

Answer:

Credit to the guy that has already answer. HE IS CORRECT!! THE ANSWER IS D=7/9 AND 6!!!!!!!!!!!!!!!

Step-by-step explanation:

click on the link below it shows a screenshot of the correct answer!!

Stay Safe Guys!!!!

a)4

so it's seven factorial divided by 7-5 factorial

Answer:

10cm

Step-by-step explanation:

Answer:

x ≈ 16.4 cm

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan26° = \(\frac{opposite}{adjacent}\) = \(\frac{8}{x}\) ( multiply both sides by x )

x × tan26° = 8 ( divide both sides by tan26° )

x = \(\frac{8}{tan26}\) ≈ 16.4 cm ( to 1 dec. place )

So, the probability of ending up with a three-digit number that is divisible by 4 is 1/24.

To find the probability of ending up with a three-digit number that is divisible by 4 when spinning the spinner three times, we need to consider the possible outcomes that satisfy this condition and divide it by the total number of possible outcomes. Let's analyze the given spinner and its possible outcomes:

Spinner: [1, 2, 3, 4, 5, 6]

To form a three-digit number, the hundreds digit will be determined by the first spin, the tens digit by the second spin, and the units digit by the third spin. A number is divisible by 4 if the last two digits (tens and units digits together) form a number divisible by 4. Therefore, we need to find the number of possible outcomes for the tens and units digits that satisfy this condition.

Possible outcomes for the tens digit: [2, 4, 6]

Possible outcomes for the units digit: [2, 4, 6]

Combining the possible outcomes for the tens and units digits, we have a total of 9 (3 possibilities for the tens digit multiplied by 3 possibilities for the units digit) favorable outcomes. The total number of possible outcomes for each spin is 6 (since there are 6 numbers on the spinner). Since we are spinning the spinner three times independently, the total number of possible outcomes for spinning it three times is 6^3 = 216. Therefore, the probability of ending up with a three-digit number divisible by 4 is:

Probability = favorable outcomes / total outcomes

Probability = 9 / 216

Probability = 1 / 24

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Answer:

The most likely result is that there will be no winners in the stadium.

Step-by-step explanation:

The odds of winning are 1 in 1 million, which means that there is a 99.9999% chance that any given person will not win. If there are 100,000 people in attendance at the game, then the expected number of winners is 0.1.

Here's ur perfect answer

Solutions cannot be more concentrated than a solution that has a %T of 10%

Solutions cannot be less concentrated than a solution that has a %T of 90%.

Beer's Law:

Beer's law (sometimes called Beer-Lambert's law) states that absorption is proportional to the path length b through the sample and the concentration c of the absorbing substance: The constant of proportionality is sometimes designated by the symbol a, which makes Beer's law literal.

The linearity of the law is limited by chemical and instrumental factors. The reasons for the nonlinearity are: Absorbance deviation at high concentrations (>0.01 M) due to electrostatic interactions between adjacent molecules.

Limitation of Beer's Law:

The linearity of the law is limited by chemical and instrumental factors.

Causes of non-linearity include:

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Answer:

Step-by-step explanation:

3x=-15

x=-5

Answer:

-5

Step-by-step explanation:

Answer: y=1/3x-2

Step-by-step explanation:

y=Mx+b

1/3 is rise over run

-2 is the y intercept

Based on the given information, it is explicitly mentioned whether the sample was randomly selected. This means that, based on the sample data, we can estimate the range within which the true proportion of interested participants is likely to fall with 95% confidence.

In statistics, a sample refers to a subset of a population that is selected for analysis or study in order to make inferences about the entire population. It is often not feasible or practical to collect data from an entire population, so a sample is used as a representative subset to gather information and draw conclusions about the larger population.

Here,

(a) The parameter that the confidence interval will estimate is the proportion of people in the area who are interested in participating in the LARPing event.

(b) The conditions that must be met to use a confidence interval procedure for a proportion are:

Random Sample: The survey respondents must be randomly sampled from the population of interest. This ensures that the sample is representative of the population.

Large Sample Size: The sample size must be sufficiently large, typically with at least 10 successes and 10 failures in the sample. This ensures that the sampling distribution of the sample proportion is approximately normal.

Independence: The responses of the survey respondents must be independent of each other. This means that one respondent's answer should not influence the answer of another respondent.

Based on the given information, it is not explicitly mentioned whether the sample was randomly selected or whether the sample size is large enough, and whether the responses are independent. This information would need to be provided or assumed in order to determine if the conditions for using a confidence interval procedure for a proportion have been met.

(c) The appropriate critical value can be found using a table or calculator. For a 95% confidence interval, the critical value is 1.96. The standard error of the sample proportion can be found using the formula:

SE = √(p(1-p)/n)

where p is the sample proportion and n is the sample size. Plugging in the values from the problem, we get:

SE = √(0.288(1-0.288)/1500)

= 0.020

(d) The 95% confidence interval can be calculated using the formula:

sample proportion ± (critical value) x (standard error)

Plugging in the values from the problem, we get:

0.288 ± 1.96 x 0.020

= 0.288 ± 0.0392

The 95% confidence interval is (0.2488, 0.3272).

(e) The interpretation of the confidence interval constructed in part (d) would be: We are 95% confident that the true proportion of people in the area who are interested in participating in the LARPing event lies between the lower and upper bounds of the confidence interval. The larger the confidence interval, the less precise our estimate, but the higher our level of confidence in the range.

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The new points after the translation are (0, -4), (0, 0), (5, -5) and (5, 0) and the image is added as attachment

Translation is the movement of a point either up, left, right or down on the coordinate plane.

If a point A(x, y) is translated a units left and b units down, the new point is A'(x - a, y - b)

From the question, the vertices of the rectangle are (2, 3), (2, 7), (7, 2) and (7, 7).

The translation T<-2, -7>; is a translation of 2 units left and 7 units down.

This means that

The new points are (0, -4), (0, 0), (5, -5) and (5, 0).

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Answer:

See below

Step-by-step explanation:

The triangles ΔTYW and ΔZYW are congruent because

- SAS theorem

18.

19.

20.

21.

22. This question is incomplete

136 - 56 = 80 songs kept

Ratio of songs kept to songs deleted is:

80:56

Simplify by dividing each number by 8:

The simplest form is: 10/7

Answer:

C. $352.80

Step-by-step explanation:

Multiply 14 x 12 which you get 168..

Now Multiply again.. 168 x the number of how much is every square foot which is 2.10.. 168 x 2.10 = 352.8 ($352.80)

Step-by-step explanation:

The coordinates of the point is (15, 12).

      Point dividing the line segment AB in the ratio of 1 : 4 will have the coordinates as (15, 12)

        \(h=\frac{mx_2+nx_1}{m+n}\), \(k=\frac{my_2+ny_1}{m+n}\)

If a segment having extreme ends A(7, -2) and B(47, 68) is divided by a point P(h, k) in the ratio of 1 : 4

h = \(\frac{1(47)+4(7)}{1+4}\)

h = 15

k = \(\frac{1(68)+4(-2)}{1+4}\)

k = 12

   Therefore, coordinates of the point dividing the segment AB in the ratio of 1 : 4 will be (15, 12).

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Answer:

D.) Equation (4)

Step-by-step explanation:

1. y= (2)+6  =8

2. y=2(2)+4 =8

3. y= 3(2)+2 =8

4. y=5(2)-4 =6

This looks super complicated, but it can actually be solved with the application of a couple of area equations.

Let's establish one fact before we start this question that may have been the reason why this was so confusing for you. No matter what kind of triangle, the area will always be \(\frac{1}{2}\) times the length of the base times height.

Alright, with that established, let's start trying to solve for the area.

In this question, we seem to have a triangle with a circle shape taken out of it. We are told to find the area of the shaded area.

The overall equation would be:

\(Area_{triangle}\) - \(Area_{circle}\)

This makes sense, right? If we find the area of the triangle and subtract the area of the circle within it, it should give us the total shaded area.

Now, let's begin solving for said shaded area:

\(Area_{triangle}\) - \(Area_{circle}\)

(\(\frac{1}{2}\) * base * height) - (π*\(r^{2}\))

The given base of the triangle is 40 km, the height 27 km, and the circle's diameter is 12. Therefore:

(\(\frac{1}{2}\) * 40 * 27) - (π * \((\frac{12}{2})^{2}\))

(540) - (π * \(6^{2}\))

540 - 36π

Use 3.14 as the value for pi:

540 - 36(3.14)

426.96

Round to the nearest tenth:

427.0

Shaded area = 427 (\(km^{2}\))

If you have any questions on how I got to the answer, don't be afraid to ask!

- breezyツ