If a local car dealership sells new and used car the total number of cars currently at the dealership is 114.The dealership reported that they have 5 new cars for every 1 used car on the lot, how many total used cars are currently on the lot?

The domain of the function in the graph is {yl1≤y≤9}.  Option b is the correct answer.

Graph:

The domain of a function is the collection of all conceivable values that can be used as inputs, or alternatively, it is the full range of potential values for independent variables.

A graph is an organized visual representation of any data in mathematics. The relationship between the variable quantities is depicted on the graph. In a graph theory, the set of items that are somehow connected to one another is represented by a graph. The vertices or nodes of the objects are essentially mathematical notions, and the edges between the nodes represent the relationships between the nodes. In mathematics and statistics, there are various types of graphs that are used to visually display data. The study of points and lines is known as graph theory. It is a branch of mathematics that focuses on the investigation of graphs. The mathematical truth is shown visually in this picture. Relationships are studied using graph theory.

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

The sequence of transformations that turn the figures is (b) a reflection over line n followed by a dilation through vertex X by scale factor greater than 1

From the question, we have the following parameters that can be used in our computation:

The figures 1 and 2

To transform the figures, we can use the following sequence of transformations:

The reason for the dilation is because figure 2 is greater than figure 1

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a. The probability of drawing a red ball from Box 1 is 30%.

b. If a red ball is drawn from Box 1, the probability of drawing another red ball from Box 2 on the second round is 60%.

c. If the first draw from Box 1 was black, the conditional probability of drawing a red ball from Box 3 on the second draw is 80%.

d. The probability of drawing two red balls at both draws, without any prior information, is 46%.

e. The probability of drawing a red ball at the first draw and a black ball at the second draw, without any prior information, is 21%.

a. The probability of drawing a red ball from Box 1 can be calculated by dividing the number of red balls in Box 1 by the total number of balls in Box 1. Therefore, the probability is 3/(3+7) = 3/10 = 0.3 or 30%.

b. Since a red ball was drawn from Box 1, we only consider the balls in Box 2. The probability of drawing a red ball from Box 2 is 6/(6+4) = 6/10 = 0.6 or 60%. Therefore, the probability of drawing another red ball when the first ball drawn from Box 1 is red is 60%.

c. If the first draw from Box 1 was black, we only consider the balls in Box 3. The probability of drawing a red ball from Box 3 is 8/(8+2) = 8/10 = 0.8 or 80%. Therefore, the conditional probability of drawing a red ball from Box 3 when the first ball drawn from Box 1 was black is 80%.

d. Before any draws, the probability of drawing two red balls at both draws can be calculated by multiplying the probabilities of drawing a red ball from Box 1 and a red ball from Box 2. Therefore, the probability is 0.3 * 0.6 = 0.18 or 18%. However, since there are two possible scenarios (drawing red balls from Box 1 and Box 2, or drawing red balls from Box 2 and Box 1), we double the probability to obtain 36%. Adding the individual probabilities of each scenario gives a total probability of 36% + 10% = 46%.

e. Before any draws, the probability of drawing a red ball at the first draw and a black ball at the second draw can be calculated by multiplying the probability of drawing a red ball from Box 1 and the probability of drawing a black ball from Box 2 or Box 3. The probability of drawing a red ball from Box 1 is 0.3, and the probability of drawing a black ball from Box 2 or Box 3 is (7/10) + (2/10) = 0.9. Therefore, the probability is 0.3 * 0.9 = 0.27 or 27%. However, since there are two possible scenarios (drawing a red ball from Box 1 and a black ball from Box 2 or drawing a red ball from Box 1 and a black ball from Box 3), we double the probability to obtain 54%. Adding the individual probabilities of each scenario gives a total probability of 54% + 10% = 64%.

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A. x1, x2, x3, s1, s2 ≥ 0

B. New table au:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

a) Writing the problem in equation form and adding slack variables:

Maximize Z = 3x1 + 2x2 + x3

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

b) Solving the problem using the simplex method:

Step 1: Convert the problem into canonical form (standard form):

Maximize Z = 3x1 + 2x2 + x3 + 0s1 + 0s2

Subject to:

3x1 - 3x2 + 2x3 + s1 = 3

-x1 + 2x2 + x3 + s2 = 6

x1, x2, x3, s1, s2 ≥ 0

Step 2: Create the initial tableau:

x1 x2 x3 s1 s2 RHS

s1 | 3 -3 2 1 0 3

s2 | -1 2 1 0 1 6

Z | 3 2 1 0 0 0

Step 3: Perform the simplex method iterations:

Iteration 1:

Pivot column: x1 (lowest ratio = 3/1 = 3)

Pivot row: s2 (lowest ratio = 6/2 = 3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

s2 = -s2/3

x2 = x2 + (2/3)s2

x3 = x3 - (1/3)s2

s1 = s1 - (1/3)s2

Z = Z - (3/3)s2

New tableau:

x1 x2 x3 s1 s2 RHS

x1 | 1 -2/3 -1/3 0 1/3 2

s2 | 0 7/3 4/3 1 -1/3 2

Z | 0 2/3 2/3 0 -1/3 2

Iteration 2:

Pivot column: x2 (lowest ratio = 2/7)

Pivot row: x1 (lowest ratio = 2/(-2/3) = -3)

Perform row operations to make the pivot element equal to 1 and other elements in the pivot column equal to 0:

x1 = -3x1/2

x2 = x2/2 + (1/7)x1

x3 = x3/2 + (4/7)x1

s1 = s1/2 - (1/7)x1

Z = Z/2 - (2/7)x1

New tableau:

x1 x2 x3 s1 s2 RHS

x2 | 0 1 4/7 3/14 -1/14 1/2

s2 | 1 0 3/7 -1/14 3/14 3/2

Z | 0

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Answer:

-1/8

Step-by-step explanation:

Let's assign this "number" the variable n:

8n + 3 = 2

8n = -1

n = -1/8

The thing that Marlene should to find the square root of 42 will be B. She should find an average of 6.4 and 6.5.

It should be noted that the main thing that can be deduced from the information is to find the square root of 42 based on the information given.

In this case, some earlier numbers have been given and their square roots are illustrated.

Therefore, the thing that Marlene should to find the square root of 42 will be that she should find the average of 6.4 and 6.5.

It should be noted that the square root of 42 falls between 6.4 and 6.5.

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Answer: it is B. 39t + 54

Step-by-step explanation:

9(4t + 6) + 3t --- (distribute the 9 to 4t and 6 (9(4t) + 9(6))

36t + 54 + 3t --- (combine like terms, 36t + 3t)

39t + 54

Answer:

Because they have an # in it

Answer:I'm pretty sure the answer is C.110!

The most nearly correct answer for the variance is (D) 130.

To find the variance, we can use the relationship between the standard deviation and the variance:

\(Variance = Standard Deviation^2\)

Given that the sample standard deviation is 11.6, we can square it to find the variance:

Variance ≈\((11.6)^2\)

≈ 134.56

Now, let's examine the answer choices provided:

(A) 46: This is not close to 134.56.

(B) 52: This is not close to 134.56.

(C) 110: This is not close to 134.56.

(D) 130: This is the closest answer to 134.56.

Therefore, the most nearly correct answer for the variance is (D) 130.

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Answer:

F

Step-by-step explanation:

In scientific notation the answer is always going to be a whole number and a decimal point then another number then times 10

Ex: 8.27x10

Answer:

F

Step-by-step explanation:

Answer:

y = 1/2x+11

Step-by-step explanation:

The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.071 (7.1%).

A sampling distribution is a probability distribution of a statistic obtained from a larger number of samples drawn from the same population.

The following are the characteristics of the sampling distribution:

The sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search can be interpreted as follows:

Only 60% of the students in a graduating class of 250 will find employment in the first round of a job search. Suppose we take a sample of 20 friends who have recently graduated. Since it is a random sample, it is possible to obtain different values of the sample proportion of your friends who will find employment in the first round of a job search. The distribution of all the possible sample proportions is called the sampling distribution.

The mean of the sampling distribution is equal to the population proportion of 60%. The standard deviation of the sampling distribution can be determined using the formula:

standard deviation = √(p(1-p)/n),

Where p is the population proportion, and n is the sample size.

Standard deviation = √(0.60 x 0.40/20) ⇒ 0.012 (1.2%)

Therefore, the sampling distribution of the sample proportion of your friends who will find employment in the first round of a job search will have a mean of 0.60 (60%) and a standard deviation of 0.012 (1.2%).

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Answer:

They did not walk the entire trail.

Step-by-step explanation:

We can first convert 2.4 to a fraction.

(List of decimal places to make the explanation easier to follow)

.0 - tenths

.00 - hundredths

.000 - thousandths

We can split 2.4 into 2+0.4

Start by converting 0.4...

Since the "4" is in the tenths place this means that the fraction would be 4/10.

We can simplify this by dividing 4/10 by 2/2. Notice we can only do this because 2/2 is equivalent to one, so in a sense we are only dividing the fraction by 1.

\(\frac{4/2}{10/2}=\frac{2}{5}\)

Now we add the 2 back on to get...

2 2/5

We can turn it into an improper fraction (multiply the first "large" number by the denominator of the fraction and then add the numerator)

12/5

Now, convert the second fraction...

18/8

We can simplify this by again dividing the fraction by 2/2...

9/4

Now we compare which is greater using the cross multiplication method (numerator of the first fraction multiplied by denominator of the second fraction and numerator of the second fraction multiplied by the denominator of the first fraction):

12*4

9*5

48>45

Therefore 12/5 is greater meaning the hikers did not walk the entire trail

Answer:

Step-by-step explanation:

Let's turn 2 2/8 into decimal.

Now, let's compare both the decimals.

Since 2.4 is greater than 2.25, the two hikers did not complete the entire trail. They were 0.15 miles away to finish.

When multiplying exponential expressions with the same base, you add the exponents. Thus,

(x^14)(x^3) = x^(14+3) = x^17

Therefore, n=17.

To simplify the given expression, we can use the rule that says "when we multiply two terms with the same base, we add their exponents". Applying this rule, we get:

(x^14)(x^3) = x^(14+3) = x^17

Thus, the value of n is 17. This is because when we multiply x^14 and x^3, we are essentially multiplying x by itself 14 times and then multiplying the result by x three more times. So, the total number of times we are multiplying x is 14+3=17, which means the final answer has an exponent of 17.

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Answer:

X= 1/2 Y= 5

Step-by-step explanation:

8x+7y=39-------------(1)--------×2

4x-14y= -68-----------(2)-------×1

16X + 14Y = 78--------(3)

4X- 14Y = -68----------(4)

Addy equation (4) and (3)

20X = 10

dividing bothsides by 20

20X/20= 10/20

X = 1/2

substitute the value of X into equation (1)

8X+7Y = 39

8(1/2)+7Y= 39

4+7Y = 39

7Y = 39-4

7Y = 35

dividing bothsides 7

7Y= 35/7

Y = 5

The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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It took Paul a total of 12 hours and 40 minutes to complete all three parts of the Ironman triathlon.

Paul’s time for swimming in the Ironman triathlon was 1 hour 25 minutes. Her time for biking was 5 hours longer than her swimming time, so her biking time was (1 hour + 5 hours) = 6 hours 25 minutes. She ran for 4 hours 50 minutes. The total time it took her to complete all three parts of the race is (1 hour 25 minutes) + (6 hours 25 minutes) + (4 hours 50 minutes) = 12 hours 40 minutes.

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Answer:

t = -1/8.

Step-by-step explanation:

t / 5/12 = -3/10          Invert the 5/12 and multiply:

12t / 5 = -3/10

Cross multiply:

12t * 10 = 5 * -3

120t = -15

t = -15/120 = -1/8.

Answer:

Maybe some red, lime green, tan-ish brown, blue, crimson, navy blue

Step-by-step explanation:

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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the correct balanced equation and the concentrations or pressures of the reactants and products at equilibrium, I can assist you in calculating Kp.

To determine the value of Kp for the equation C(s) + CO2(g) ⇌ 2CO(g), we need to know the balanced equation and the corresponding equilibrium expression.

However, the equation you provided (C(s) + 2H2O(g) ⇌ CO2(g) + 2H2(g)) is different from the one mentioned (C(s) + CO2(g) ⇌ 2CO(g).

Therefore, we cannot directly calculate Kp for the given equation.

If you provide the correct balanced equation and the concentrations or pressures of the reactants and products at equilibrium, I can assist you in calculating Kp.

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Answer:

Step-by-step explanation:

\(2123.72 = 4 \times 3.14 \times {r}^{2} \)

\(2123.72 = 12.57 {r}^{2} \)

\( \frac{12.57 {r}^{2} }{12.57} = \frac{2123.72}{12.57} \)

\( {r}^{2} = 168.95\)

\(r = 13.0\)

\( \frac{4}{3}\pi {r}^{3} \)

\( \frac{4}{3} \times 3.14 \times {13}^{3} = 9202.77 {m}^{3} \)

Answer:

these two apply:

10x + 12 = 38 and

10x = 26

Step-by-step explanation:

7x+6+3x+6 = 38

10x + 12 = 38

10x = 26

x = 2.6

Answer:

\({ \rm{f(x) = - x - 1}} \\ \\{ \rm{f(6) = - 6 - 1}} \\ \\ { \rm{f(6) = - 7}}\)

Answer:

f(6) = -7

Step-by-step explanation:

It is given that x = 6. Plug in 6 for x in the given equation:

f(x) = -x - 1

f(6) = -(6) - 1

Note that when you are subtracting two negative numbers, you are really adding the two numbers:

f(6) = -(6) - 1

f(6) = -7

When x = 6, f(x) = -7

~

To start, let's sketch the graph of the curve y = x from x = 0 to x = 20. This is simply a diagonal line that passes through the points (0,0) and (20,20), as shown below:

```
   |
20  |    *
   |   *  
   |  *  
   | *    
   |*    
0  --------------
  0   10   20
```

Now, we want to revolve this curve around the x-axis to create a solid shape. Specifically, we want to create a paraboloid, which is a three-dimensional shape that looks like an upside-down bowl.

To find the volume of this paraboloid, we need to use calculus. The basic idea is to slice the solid into very thin disks, and then add up the volumes of all the disks to get the total volume.

To do this, we'll use the formula for the volume of a cylinder, which is:

V = πr^2h

where r is the radius of the cylinder and h is its height. In our case, each disk is a cylinder with radius r and height h, where:

- r is equal to the y-value of the curve (i.e. r = y = x), since the disk extends from the x-axis to the curve.
- h is the thickness of the disk, which is a very small change in x. We can call this dx.

So, the volume of each disk is:

dV = πr^2dx
  = πx^2dx

To find the total volume of the paraboloid, we need to add up the volumes of all the disks. This is done using an integral:

V = ∫(from x=0 to x=20) dV
 = ∫(from x=0 to x=20) πx^2dx

Evaluating this integral gives us:

V = π/3 * 20^3
 = 8000π/3

So the exact volume of the paraboloid is 8000π/3.

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The total number of possible outcomes containing exactly 3 heads when a coin is flipped eight times where each flip comes up either heads or tails are 56.

There are two possible outcomes i.e. heads and tails when a coin is flipped. If the coin is flipped 8 times, the total number of outcomes will be:-

\(2^8=256\)

We need exactly 3 heads , and hence exactly 5 tails, like

H H H T T T T T

Here H represents heads and T represents tails.

But H and T can come in any combination, for example:-

H T H H T T T T

Hence, total possible outcomes containing exactly 3 heads and 5 tails will be determined using the combinations formula :-

\(^{8}C_{3}=\frac{8!}{3!5!}=\frac{8*7*6*5!}{3*2*5!}=8*7=56\)

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Answer:

Step-by-step explanation:

h^2=x^2+y^2 which just means the the hypotenuse of a right triangle squared is equal to the sum of its squared sides.

\(h^2=10^2+15^2\\ \\ h^2=100+225\\ \\ h^2=325\\ \\ h=\sqrt{325}\\ \\h=5\sqrt{13}\\ \\ h\approx 18.03\)

h=