Ace Car Rentals charges $20 per day plus a $10 service charge to rent one of its compact cars. The total cost can be represented by the equation y = 20x + 10, where x is the number of days and y is the total cost.

The mean of the sampling distribution of sample means is equal to the population mean.

In this case, it is 272 days.

a. The standard deviation (or standard error) of the sampling distribution of sample means can be calculated using the formula: σ_sample = σ_population / √n, where σ_sample is the standard error, σ_population is the population standard deviation, and n is the sample size. In this case, σ_sample = 14 days / √24 ≈ 2.86 days.

b. The graph of the sampling distribution of sample means will be a normal distribution with a mean of 272 days and a standard deviation of 2.86 days. The curve will be symmetrical around the mean value and will have a bell shape.

c. If the sample size is increased to 28, the mean of the sampling distribution remains the same (272 days) since it's equal to the population mean. However, the standard error will decrease because the sample size is larger: σ_sample = 14 days / √28 ≈ 2.65 days. The graph of this distribution will still be a normal distribution with a mean of 272 days, but it will be slightly narrower due to the smaller standard error of 2.65 days.

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The equation of the line passing through the point  P(-2,-2) and perpendicular to the given line y=-1/5x+9 is y = 5x + 8

the equation of a line in slope-intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = -  1/5x + 9 is in this form

with slope m = - 1/5

given a line with slope m then the slope of a line perpendicular to it is

slope of perpendicular to the given line = -1/m , hence

slope of perpendicular line = - 1 / (-1/5)  = 5

y = 5x + c ← is the partial equation

to find c substitute (- 2, - 2) into the partial equation

- 2 = - 10 + c ⇒ c = - 2 + 10 = 8

y = 5x + 8 ← equation of perpendicular line

Therefore, the equation of the line passing through the point  P(-2,-2) and perpendicular to the given line y=-1/5x+9 is y = 5x + 8

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Answer:

B. A 100° angle

Step-by-step explanation:

Im pretty sure its an 100 degree angle :)

B.

Answer:

5 minutes per mile

Step-by-step explanation:

15 divided by 3 = 5

Well, If you add them all up (3 + 5 + 8) it will be 16. Now we have to make it a fraction (out of blue pens). That will b 8/16. Now we simplify- 1/2. 1/2 as a percent is 50%. The probability is 50%.

To determine the components of the unit vector that points along the string, we need to break down the vector into its x and y components.

Given that the string makes an angle of 29 degrees to the vertical, we can define the unit vector as follows:

ˆr = ˆrx + ˆry

To find the x-component (ˆrx) of the unit vector, we can use the cosine of the angle:

cos(29°) = ˆrx

To find the y-component (ˆry) of the unit vector, we can use the sine of the angle:

sin(29°) = ˆry

Let's calculate the values:

ˆrx = cos(29°)

ˆry = sin(29°)

Using a calculator or mathematical software, we can find the numerical values of ˆrx and ˆry:

ˆrx ≈ 0.8829

ˆry ≈ 0.4695

Therefore, the components of the unit vector that points along the string are approximately:

ˆrx ≈ 0.8829

ˆry ≈ 0.4695

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Answer:

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

If ten workers are randomly selected, the probability exactly nine of them say that their jobs were sometimes or always stressful is 0.268 or 26.8%

The result of the recent poll is

80% of respondents said that their jobs were sometimes or always stressful

The 10 workers are randomly selected

Then we have to find the probability exactly nine of them say that their jobs were sometimes or always stressful

The equation

P(X) = nCx × P^x × (1-P)^n-x

Here n = 10

r  = 9

P = 0.80

Substitute the values in the equation

P(9) = 10C9 × 0.80^9 × (1-0.80)^(10-9)

= 10 × 0.134 × 0.20

= 0.268

= 26.8%

Therefore, the probability exactly nine of them say that their jobs were sometimes or always stressful is 26.8%

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Answer:

– 5 ≤ x < 3

Step-by-step explanation:

NOTE: The domain is all posible values indicated on the x-axis.

From the graph given in question above, it is evident that x lies between – 5 and 3.

A careful observation of the graph reveals that x is less than or equal to – 5 (i.e x ≤ – 5) since the tip of the line indicating that x is – 5 is shaded. On the other hand, x is less than 3 ( ie x < 3) since the tip of the line indicating that x is 3 is not shaded.

Thus, we say that:

x ≤ – 5

x < 3

Combining the above expression together, we have

– 5 ≤ x < 3

Answer:

25.2

Step-by-step explanation:

The probability that Deborah's first flight was delayed given that her luggage did not make the connecting flight is 0.253, or about 25.3%.

We can use Bayes' theorem to calculate the probability that Deborah's first flight was delayed given that her luggage did not make the connecting flight. Let D denote the event that the first flight is delayed, and L denote the event that the luggage does not make the connecting flight. Then we want to find P(D | L).
By the law of total probability, we have:
P(L) = P(L | D) * P(D) + P(L | D') * P(D')
where D' denotes the event that the first flight is on time. Using the given probabilities, we can plug in the values:
P(L) = 0.55 * 0.85 + (1 - 0.15) * (1 - 0.9) = 0.3245
Next, we can use Bayes' theorem:
P(D | L) = P(L | D) * P(D) / P(L)
Plugging in the values, we get:
P(D | L) = 0.55 * 0.15 / 0.3245 = 0.253
Therefore, the probability that Deborah's first flight was delayed given that her luggage did not make the connecting flight is 0.253, or about 25.3%.

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A graph of each of the function is shown below.

The domain is x = -2, x = 0, x = 1, x = 2.

The range is [-1, -1] U [3, 3].

In Mathematics, a piecewise-defined function is a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of the given piecewise-defined function, we can reasonably infer and logically deduce that it is constant over the interval x < -2 and x ≥ -2.

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Answer:

2.08 this is answer

Answer:

Step-by-step explanation:

1. Solution for 3(6a)a=3 equation:

Simplifying

3(6a) * a = 3

Remove parenthesis around (6a)

3 * 6a * a = 3

Multiply 3 * 6

18a * a = 3

Multiply a * a

18a2 = 3

Solving

18a2 = 3

Solving for variable 'a'.

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

Divide each side by '18'.

a2 = 0.1666666667

Simplifying

a2 = 0.1666666667

Take the square root of each side:

a = {-0.408248291, 0.408248291}

2.Solution for 5d(4)d=-2 equation:

Simplifying

5d(4) * d = -2

Reorder the terms for easier multiplication:

5 * 4d * d = -2

Multiply 5 * 4

20d * d = -2

Multiply d * d

20d2 = -2

Solving

20d2 = -2

Solving for variable 'd'.

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

Divide each side by '20'.

d2 = -0.1

Simplifying

d2 = -0.1

Reorder the terms:

0.1 + d2 = -0.1 + 0.1

Combine like terms: -0.1 + 0.1 = 0.0

0.1 + d2 = 0.0

a.Stored attribute b.Minimum cardinality c. entity type- relationship type d. strong entity type weak entity type e. degree cardinality f. required attribute optional attribute g. composite attribute multivalued attribute h. ternary relationship has a strict contrast .

a. Stored attribute represents a characteristic or property of an entity that is directly stored in a database. It can be easily accessed and retrieved. On the other hand, a derived attribute is not directly stored but is calculated or derived from other attributes. It is derived using formulas, calculations, or rules based on the stored attributes.

b. Minimum cardinality specifies the minimum number of occurrences an entity can have in a relationship. For example, a minimum cardinality of 1 means that an entity must have at least one occurrence in the relationship. Maximum cardinality, on the other hand, defines the maximum number of occurrences an entity can have in a relationship. It sets an upper limit on the number of associations an entity can have.

c. An entity type represents a distinct object in the real world, such as a customer, employee, or product. It has its own attributes and may participate in relationships with other entity types. On the other hand, a relationship type represents an association or connection between two or more entity types. It describes how entities are related or connected to each other.

d. A strong entity type exists independently and has its own primary key. It can be uniquely identified on its own without depending on any other entity types. A weak entity type, however, depends on a strong entity type for its existence. It does not have its own primary key and relies on a foreign key relationship with a strong entity type.

e. Degree refers to the number of entity types participating in a relationship. It represents the number of entity types connected by the relationship. Cardinality, on the other hand, describes the number of occurrences or instances of one entity type that can be associated with another entity type in a relationship. It specifies how many entities can participate in the relationship.

f. Required attributes are attributes that must have a value and cannot be left empty or null. They are necessary for the completeness and integrity of the data. Optional attributes, on the other hand, are attributes that may or may not have a value. They are not mandatory and can be left empty.

g. A composite attribute is an attribute that can be further divided into sub-attributes. It is composed of multiple components or parts, representing a hierarchical structure. On the other hand, a multivalued attribute can have multiple values for a single occurrence of an entity. It allows an entity to have multiple instances or occurrences of the attribute.

h. A ternary relationship involves three

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Answer:

10.75 psi i'm pretty sure

Step-by-step explanation:

i'm not sure if this will make sense though

p=kd <-direct variation

8.6 = k × 20               p= .43d

k= .43                         p= .43 (25)

                                           =10.75psi

Answer:

Yes.

Step-by-step explanation:

The area of the triangle shape poking out of plot B is the same area as the missing space in it. So yes, both plots of land should have the same area.

Answer:

The roots for the given equation are -8 and 3.

Step-by-step explanation:

The first thing we must do in order to find the roots is factor the equation. We can do this by first multiplying the first and last term together. Then, we find the factors of that product that multiply together to that product but also adds together to get the middle term in the equation.

x² * -24 = -24x²

-24x² = 8x * -3x

Now, we write our new equation by replacing 5x with 8x - 3x.

x² + 8x - 3x - 24

Group the first and second terms together and also group the last two terms together.

(x² + 8x) + (-3x - 24)

Factor each parentheses. You will know that you factored them correctly when the two terms in the final parentheses are the same.

x(x + 8) -3(x + 8)

Since the two terms in the parentheses are the same, hen we have correctly factored out the equation. Now, we form the equation so we can find the roots.

(x - 3)(x + 8)

Now, equal each term in the parentheses to zero.

x - 3 = 0

x + 8 = 0

Now, solve for x in each equation. The final answer for each equation will be our roots. The roots are the values of x in a quadratic equation.

x = 3

x = -8

So, the roots of this equation are {-8, 3}

Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

  $5.33

Step-by-step explanation:

You want to know Matthew's change from a $10 bill if he bought 6 donuts for $0.35 each, and a Coke for $2.57.

The amount of change is the difference between the amount tendered and the value of the purchase(s):

  10 - (6×0.35 +2.57) = 5.33

Matthew received $5.33 in change.

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The approach you are referring to is known as statistical inference. Statistical inference involves using probability-based methods to draw conclusions and make inferences about a population based on sample data.

In the context of data comparisons, statistical inference allows us to determine the strength of the relationship between attributes in different datasets. This can involve comparing means, proportions, correlations, or other statistical measures to assess the association or dependence between variables.

Some common inferential techniques include hypothesis testing and confidence intervals. Hypothesis testing involves formulating a null hypothesis and an alternative hypothesis and using statistical tests to determine if there is enough evidence to reject the null hypothesis in favor of the alternative. Confidence intervals provide an estimate of the range within which a population parameter is likely to lie based on the sample data.

Through statistical inference, we can quantify the uncertainty associated with our conclusions and make informed decisions or interpretations about the relationship between attributes in data sets. It allows us to move beyond the specific observations in our data and make generalizations about a larger population, taking into account the inherent variability and randomness in the data.

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The objective is to analyze the relationship between the two variables using MATLAB. The steps are plotting the data, finding the sample mean, variance, and standard deviation, estimating regression coefficients with and without an intercept, and calculating the correlation coefficient.

(a) To plot the stopping distance versus the speed of travel, you can use MATLAB's plot function to create a scatter plot with speed on the x-axis and stopping distance on the y-axis.

(b) MATLAB's mean, var, and std functions can be used to calculate the sample mean, variance, and standard deviation of both the stopping distance and speed of travel.

(c) The regression coefficients, a (intercept) and B (slope), can be estimated using the regress function in MATLAB. This function performs linear regression and provides the coefficients as output. The resulting regression line with an intercept can be plotted on the scatter plot from part (a).

(d) To estimate the regression coefficient without an intercept, you can use the same regress function but specify the 'zero' option to exclude the intercept term. This will provide the slope coefficient only, and you can plot this line on the scatter plot from part (a).

(e) The correlation coefficient between stopping distance and speed of travel can be estimated using formula (8.10) or by utilizing MATLAB's corrcoef function.

(f) To confirm the result from part (e), you can use the corrcoef function in MATLAB, providing the speed and stopping distance as input. This function calculates the correlation coefficient and allows you to compare it with the estimated value from part (e).

By following these steps and utilizing the appropriate MATLAB functions, you can analyze the relationship between the speed of travel and stopping distance for the given set of data.

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Answer:

Pretty sure its y=-2/3x+390

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

First, let's add up the ratios and use it to divide 120. That way we can find out how many people each ratio is.

17 +3 = 20

120/20 = 6

Each individual ratio is equal to 6.

17 * 6 = 102

3 * 6 = 18

102/120 = percentage of who passed

= 0.85

85 percent of learners passed.

Answer:

Graph B is the correct graph.

Answer:

126m

Step-by-step explanation:

The circumference of the circle would be the amount of fencing required for the circular garden.

Circumference, C = 2πr

π = \(\frac{22}{7}\)

C = 2*20*\(\frac{22}{7}\)

C = 125.71 m

We need 125.71 meters to fence the garden.