Antoine is renting a car for a day to drive to his sister's college and back. He estimates that the college is about 60 miles away. Low Price Rentals charges a $49 rental fee plus $0.16 per mile driven. Easy Rental charges a $25 fee plus $0.50 per mile.


Compare the two rental options.


Which company offers a better deal? How do you know?


Select the option that correctly answers both questions.




Responses




Easy Rental, because it will charge $55.00 for the trip, while Low Price Rentals will charge $58.60 (wrong answer)






Easy Rental, because it will charge $34.60 for the trip, while Low Price Rentals will charge $79.00






Low Price Rentals, because it will charge $68.20 for the trip, while Easy Rental will charge $85.00






Low Price Rentals, because it will charge $44.20 for the trip, while Easy Rental will charge $109.00

The value of x such that the probability of the sample mean being between 13.6-0.89 and 13.6+0.89 is 0.6827 is approximately x = 0.89.

Central Limit Theorem states that as the sample size increases the distribution of the sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

Therefore, for a sample of 8 two-lined salamanders, the standard deviation of the sample means is:

σ = σ/√n = 2.2/√8 = 0.89

We are looking for the value of x such that the probability of the sample mean being between 13.6-x and 13.6+x is 0.6827. This corresponds to the area under the normal curve within x standard deviations of the mean.

We can use a standard normal table or calculator to find the value of x corresponding to 0.6827. The result is approximately x = 0.89.

So, the value of x such that the probability of the sample mean being between 13.6-0.89 and 13.6+0.89 is 0.6827 is approximately x = 0.89.

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Answer:

Step-by-step explanation:

multiple by the domanatior to get the answer

The amount of the sales tax is $9.75.

The percentage is defined as a ratio expressed as a fraction of 100.

The taxable amount of the sale: $150

Sales tax percentage: 6.5%

To calculate the sales tax, you can multiply the taxable amount of the sale by the sales tax percentage.

Sales Tax = Taxable Amount × Sales Tax Percentage

Sales Tax = $150 × 6.5%

Sales Tax = $150 × 0.065

Apply the multiplication operation, and we get

Sales Tax = $9.75

So, the amount of the sales tax is $9.75.

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Answer: B. 200

Step-by-step explanation:

Since "rafts" and "tubes" takes up exactly 50% of the circle graph, the answer is 50% of 400, or 200. The correct answer is option B. 200

The cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.

The average rate at which the prices of goods and services change within a year is called the average inflation rate.

Given that, a meal in a restaurant cost $40 in 2000, we need to find its price in 1992 dollars,

The dollar had an average inflation rate of 2.45% per year between 1992 and today,

The year change = 2000 - 1992 = 8

Therefore, the $40 in 1992 =

= 40 - (40 × 8 × 2.45 / 100)

= 40 - (7.84)

= 32.16

Hence, the cost of the meal that cost $40 in 2000 would have cost $32.16 in 1992.

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The outputs for the given inputs are:

Input:   -2  -1   0  1

Output: 2   2  0  4

What is a linear function?

A linear function is a mathematical function that has a constant rate of change, or slope, between its input and output variables. In other words, the output of a linear function changes at a constant rate as the input changes.

The given function y = x(x + 3) is not a linear function because it contains a squared term (x^2) and thus has a non-constant rate of change.

To complete the table for the given function, we substitute each input value into the equation and simplify:

Input: -2

Output: (-2)(-2 + 3) = 2

Input: -1

Output: (-1)(-1 + 3) = 2

Input: 0

Output: (0)(0 + 3) = 0

Input: 1

Output: (1)(1 + 3) = 4

Therefore, the outputs for the given inputs are:

Input:   -2  -1   0  1

Output: 2   2  0  4

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Answer:

D.

Step-by-step explanation:

The two parallel sides of the trapezoid are referred to as the bases of the trapezoid; the other two sides are called the legs of the trapezoid.

Therefore, the answer is D.

Hope it helped!

Answer:

351.68

Step-by-step explanation:

Given:

The radius of the cylinder = r = 4 cm

Height of the cylinder = h = 7 cm

The volume of the cylinder is given by the formula:

V = πr²h

Using π = 3.14

so, the volume of the cylinder will be:

[tex]3.14 X4^{2} X7 = 3.14 X 16 X 7 = 351.68[/tex]

Volume of the cylinder = 351.68

By applying probability concept, it can be concluded that the experimental probability of rolling each is P(1) = 1/6, P(2) = 1/7,  P(3) = 1/3,  P(4) = 2/21,  P(5) = 1/7, and P(6) = 5/42.

Probability is a value used to measure the degree of occurrence of a random event.

P(E) = n(E)/n(S)

n(E) = number of desired events

n(S) = total number of events

We have the following information about a die rolling 42 times:

One    Two    Three   Four     Five     Six

 7          6          14         4          6        5

The theoretical probability of rolling any number on a six-sided die is  7/42 or 1/6.

Now we can calculate the probability of each side by substituting the value in the table into the equation:

P(E) = n(E)/n(S)

P(1) = 7/42

      = 1/6

P(2) = 6/42

      = 1/7

P(3) = 14/42

      = 1/3

P(4) = 4/42

      = 2/21

P(5) = 6/42

      = 1/7

P(6) = 5/42

Thus, the experimental probability of rolling each is P(1) = 1/6, P(2) = 1/7,  P(3) = 1/3,  P(4) = 2/21,  P(5) = 1/7, and P(6) = 5/42.

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Answer:the answer is 90

Step-by-step explanation:

Answer:9

Step-by-step explanation:

63, 69, 75 and 81 is the first four terms of the seqence

Given the recursive formula of the given sequence

an = 63 + (n - 1)*6

We need to determine the first four terms of the sequence

When n = 1;

a1 = 63 + (1 - 1)*6

a1 = 63

When n = 2;

a2 = 63 + (2 - 1)*6

a2 = 69

When n = 3;

a3 = 63 + (3 - 1)*6

a3 = 75

When n = 4;

a4 = 63 + (4 - 1)*6

a4 = 81

Hence the first four terms of the sequence are 63, 69, 75 and 81.

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a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm

b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm

c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm

What is the hyperbola?

Hyperbola is the locus of all those points in a plane such that the difference in their distances from two fixed points in the plane is a constant.

To calculate the parameters a, b, c, and e for a hyperbolic orbit, we need to know the perihelion distance (p), semi-latus rectum (l), and eccentricity (e) of the orbit.

l = p / (1 + e)

where e is the eccentricity of the orbit. We can solve for e using the given distances:

e = (p - l) / l = (120 Gm - 281.25 Gm) / 281.25 Gm = -0.57

a = l / (1 - e²)

b = √(a^2 * e²)

c = √(a^2 - b²)

a = 281.25 Gm / (1 - (-0.57)²) = 667.3 Gm

b = √(667.3 Gm² * (-0.57)²) = 420.3 Gm

c = √(667.3 Gm² - 420.3 Gm²) = 558.0 Gm

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Answer:

Below

Step-by-step explanation:

Gravel is  4 / (4+3+2) = 4/9 ths of the total

    4/9 x 27 m^3 = 12 m^3 gravel

Similarly  sand is 3/9th    3/9 * 27 = 9 m^3

  and the rest is cement   6 m^3

A. The current account balance is a deficit of 130

B. The financial account balance is a deficit of 70

C. The trade balance is a deficit of 50.

D. The net factor payments are a deficit of 30.

Balance of payments is the method by which countries measure all of the international monetary transactions within a certain period.

(a) The current account balance can be calculated as follows:

Current Account Balance = (Exports of goods + Service exports) - (Imports of goods + Service imports + Income payments to foreigners - Income receipts from abroad)

= (275 + 50) - (325 + 40 + 70 - 40)

= 325 - 455

= -130

So, the current account balance is a deficit of 130.

(b) The financial account balance can be calculated as follows:

Financial Account Balance = Increase in home country assets abroad - Increase in foreign assets in home country

= 350 - 420

= -70

So, the financial account balance is a deficit of 70.

(c) The trade balance can be calculated as follows:

Trade Balance = Exports of goods - Imports of goods

= 275 - 325

= -50

So, the trade balance is a deficit of 50.

(d) The net factor payments can be calculated as follows:

Net Factor Payments = Income receipts from abroad - Income payments to foreigners

= 40 - 70

= -30

So, the net factor payments are a deficit of 30.

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The list in highest tο lowest οrder is as follows :

0.2

27%

25​

Percentage is a way οf expressing a number as a fractiοn of 100. It is often used to cοmpare or describe relative values, such as prοportions, growth rates, or percentages of a whole.

Percentage is calculated by dividing a part of sοmething by the whole and then multiplying by 100. Fοr example, if a class has 25 students and 5 οf them are absent, we can find the percentage οf absent students by dividing the number οf absent students (5) by the tοtal number of students (25) and then multiplying by 100

Accοrding to given information:

The list in οrder from highest to lowest is:

0.2

27%

25​

Petruta Ciοran 13

8%

0.19 << < < <<

4

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Answer:

about 1.67

Step-by-step explanation:

24x=40

The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.

What is plane?

In two dimensions, a plane can continue on forever. The lack of breadth. A plane is an example of coordinate geometry. A point's location in a plane is determined by its coordinates.

A plane is a two-dimensional, flat surface that never ends in mathematics. A plane is a two-dimensional equivalent of a three-dimensional equivalent that contains three spatial dimensions, a line, and a point. Planes can resemble subspaces in some higher-dimensional situations, as if the room's walls had been substantially stretched. These walls have their own existence, exactly as in the context of Euclidean geometry.

A flat surface in three dimensions can be represented using the plane equation. There are several approaches for determining the equation for a given function.. The equation for the plane can be expressed in either cartesian form or vector form.

Hence, the general form of the equation is A(x−x1)+B(y−y1)+C(z−z1)=0

Now,

For given two points in (x1,y1),(x2,y2) in coordinate plane

distance between them will be = √((x2-x1)²+(y2-y1)²)

So, distance between  N=(-2,-1) and L=(3,-4)=√((3+2)²+(-4+1)²)

=√(25+9)

=√34

hence,

          The distance between N=(-2,-1) and L=(3,-4) in coordinate plane will be √34 unit.

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Yes, Liam is correct as the graph depicts a positive correlation as the temperature increases the ice cream sales also increases.

A correlation between two variables shows a statistical connection between them. Causation is the process whereby a change in one variable causes a change in another.

While conducting research, you may have come across the proverb "correlation doesn't imply causality." Although correlation and causality are related ideas, understanding how they differ helps improve your capacity to assess and critically analyze scientific data.

Armonte said the graph depicts causation and yes Armonte is correct as causation means that changes in one variable bring about changes in the other; there is a cause-and-effect relationship between variables. The two variables are correlated with each other and there is also a causal link between them.

So here the change in the temperature brought about the change in the ice cream sales. As the temperature rose the ice cream sales too started increasing.

Now two reasons as to why this represents causation instead of correlation:

Therefore, the graph shows a positive correlation, but it represents causation.

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A polynomial f (x) of degree 4 that has the following zeros, 0, 6 (multiplicity 2), -2 is: x (x+2) (x-6)²

A polynomial is an expression in mathematics that solely uses the operations of addition, subtraction, multiplication, and powers of positive-integer variables. It consists of indeterminate's and coefficients. Nearly all areas of mathematics employ them to express numbers, and calculus is one of those branches where they play a crucial role.

given that,

a polynomial f(x) of degree 4 and has the zeros are 0, 6 (multiplicity 2), -2

We know that If a polynomial P(x) is, of degree 4 and has Zeros are a, b, c (multiplicity 2) then polynomial P(x) will be:

P(x) = (x - a)' (x - b)' (x - c)²

P(x) = (x - a)' (x - b)' (x - c)²

So, here polynomial of degree 4 will be:

F(x) = (x- (-2)) [x-6]² (x-0)

F(x) = x (x+2) (x-6)²

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"What is the area of the floor in this classroom?" is not a statistical question.

Statistical Reasoning is the first course in statistics for students whose college and career paths require knowledge of the fundamentals of the collection, analysis, and interpretation of data.

All statistical questions contain gathering numerical statistics (normally from a set of human beings) after which studying it to attract conclusions approximately the reviews of human beings of a positive phenomenon because the statistics vary relying on the reaction of every person.

This method isn't required to decide the location of the ground due to the fact this has a completely unique solution and might certainly be located via way of means of measuring the peak and width of the school room after which multiplying each number.

therefore, this doesn't mean accumulating loads of statistics and the statistics does now no longer vary.

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Answer: (b) To find the cost per lock, we need to divide the total cost by the number of locks.

For Home Hardware, the cost per lock is 120 / 4 = $30.00.

For Rona, the cost per lock is 192 / 6 = $32.00.

So, Home Hardware has the lower cost per lock at $30.00, compared to Rona's cost of $32.00.

(i) Some other factors to consider when buying a lock include:

Security: The level of security offered by the lock is important to consider, especially for locks that will be used for homes, businesses, or other valuable assets.

Durability: It's important to choose a lock that is durable and resistant to weather and wear-and-tear.

Ease of use: Consider the ease of use of the lock, including how easy it is to install and how user-friendly the lock mechanism is.

Brand reputation: Consider the reputation of the brand, as well as customer reviews and ratings of the product.

Warranty: Look for a lock that comes with a warranty, and consider the length and terms of the warranty.

Step-by-step explanation:

The estimated overhead costs for ICU and other are $970 per patient day, or $19,400,000 divided by 20,000 patient days.

There is a connection between one set of values about one variable and an other number of values. direct variation With the equations y = mx + b, you have the direct variant function y = mx (often written y = kx). Equations that describe the relation between independent variables in a language also explain how those variables vary between one another. There are various types of variations, including linear, inverse, joint, among combination variations. If y and x are said to be directly connected, then y must equal kx, where k is a number that is every now and again referred to as the perpetual of variation. If y and x have such an inverse connection, then y equals k/x, where k is just the variance constant.

given

1a. Every patient day, the predetermined overhead rate is $970.

compute the combined expected overhead expenses for the ICU and other:

ICU: $3,200,000 plus $236 each patient-day multiplied by 2,000 patient-days equals $3,672,000.

$14,000,000 plus ($96 for each patient day)

(15,728,000 patient-days) divided by 18

Add the anticipated overhead expenses for ICU and Other:

$3,672,000 + $15,728,000 = $19,400,000

19,400,000 divided by 20,000 patient days equals 970 each patient day.

1b. The overall expense allocated to Patients A and B.

The estimated overhead costs for ICU and other are $970 per patient day, or $19,400,000 divided by 20,000 patient days.

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a). The formula that expresses v in terms of t is v = 22 - 2t, b).  As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.

What is the volume?

'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3, etc. Sometimes, volume is also termed capacity.

a). The volume of water in the tank, v, decreases by 2 gallons per hour, so the formula for v in terms of t is v = 22 - 2t.

b). As t increases from 3 to 5, v varies from 16 to 12. That is, as t goes from 3 to 5, v decreases from 22 - 2(3) = 16 to 22 - 2(5) = 12.

c). As t varies from 3 to 5, t changes by 5 - 3 = 2, and v changes by 16 - 12 = 4.

Hence,  a). The formula that expresses v in terms of t is v = 22 - 2t, b).  As t increases from 3 to 5, v varies from 16 to 12, c). As t varies from 3 to 5, v changes by 16 - 12 = 4.

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The area of the sector is evaluated to be equal to 220 square centimeters.

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius and π = 22/7.

We have the angle of the sector = 175° and radius = 12 cm, hence the area of the sector is calculated as follows:

(175°/360°) × 22/7 × 12 × 12

we simplify by division and multiplication

(35/72) × 22/7 × 12cm × 12cm

{35/7 = 5 and 72/12 = 6}

(5/6) × 22 × 12cm²

{12/6 = 2}

5 × 22 × 2cm²

220 cm².

Therefore, the area of the sector is evaluated to be equal to 220 square centimeters.

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The probability that the word formed STATISTICS will be; 1/10! = 1/3628800

The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. According to the probability formula, the likelihood that an event will occur is equal to the proportion of favourable outcomes to all outcomes.

The total number of tiles in a bag is; 10

WE are given that once a tile is drawn, we will not place the tile back in the bag.

We should find the probability that randomly selected tiles spell the word, STATISTICS, that is a 10 letter word.

Now when we draw the first tile,

1 st tile = 1/10

Now there are only 9 tiles left.

2nd tile probability = 1/9

Now only 8 tiles left then

3rd tile probability = 1/8

Therefore the probability that the word formed is STATISTICS would be

= 1/10 * 1/9 * 1/8 * 1/7 * 1/6 * 1/5 * 1/4 * 1/3 * 1/2

= 1/10! = 1/3628800

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The complete statement is -

If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.

Elastic demand is when the price of a product has a large impact on the quantity purchased.

Given is that the demand for apples is highly elastic and the supply is highly inelastic.

If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.

Therefore, the complete statement is -

If the demand for apples is highly elastic and the supply is highly inelastic, then if a tax is imposed on apples, it will be paid largely by the sellers of apples.

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Answer:

y=1/5x +4

Step-by-step explanation:

Write an equation for the line that is parallel to the given line and passes through the given point. y = 5x + 10; (2, 14) y=1/5x +4

For the inequality k≥0, all the integers which satisfies the given inequality are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The inequality,

k ≥ 0

The inequality k ≥ 0 means that k is greater than or equal to 0. This can be represented on a number line as follows:

-------------k-------------

where the line represents all real numbers and the arrow points to the right to indicate that k can be any real number greater than or equal to 0.

All one-digit integers that satisfy the inequality k ≥ 0 are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

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The traveler's luggage should weigh around 806.722 ounces.

To convert kilograms to ounces, you can use the conversion factor of 35.274 ounces per kilogram.

Here's the formula to convert kilograms to ounces:

Ounces = Kilograms * 35.274

When it comes to measuring weight, the metric system and the imperial system use different units of measurement. The metric system uses kilograms as its unit of measurement for weight, while the imperial system uses ounces.

To convert between the two systems, it is necessary to know the conversion factor between kilograms and ounces. One kilogram is approximately equal to 35.274 ounces. This means that to convert from kilograms to ounces, you can multiply the number of kilograms by 35.274.

In the case of the traveler in Spain, they wanted to ensure that their luggage did not exceed 23 kilograms in weight. To determine this weight in ounces, they multiplied 23 kilograms by the conversion factor of 35.274 ounces/kilogram, which gives a result of 806.722 ounces.

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