Write what the variable n represents in each expression.
L. Lisa can run the 100-yard dash 5 seconds faster than Jerry. Lisa's time is n-5
seconds.
M. Pedro is 3 times younger than his father. Pedro is n + 3 years old.
N. Lucia has $10.00 less than her sister. Lucia has n-10 dollars.
O. Jack is 2 times taller than his younger brother. Jack is 2 x n inches tall.

The population mean weight of the packages is 6.74 pounds and the population proportion of packages that weigh less than 5 pounds is approximately 0.301.

To calculate the population mean, we need to multiply each weight value by its corresponding frequency (number of packages), sum up these products, and divide by the total number of packages.

Population mean = Sum of (Weight × Packages) / Total number of packages

Population mean = 1967.5 / 292

Population mean = 6.74 pounds

To find the population proportion of packages that weigh less than 5 pounds, we need to sum up the frequencies (packages) of weights less than 5 pounds and divide it by the total number of packages.

Packages with weight less than 5 pounds: 5 + 16 + 28 + 22 + 17 = 88

Population proportion = Packages with weight less than 5 pounds / Total number of packages

Population proportion = 88 / 292

Population proportion = 0.301

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Answer:

There is no real solution

Step-by-step explanation:

Square numbers are never negative

Answer:

D. This equation has no real solution

Step-by-step explanation:

Because a squared number can not be negative

If it were x^2=144 the answer could be 12 or-12

The probability of both coins landing on heads when two coins are tossed is 1/4, or 0.25, or 25%.

When two coins are tossed, there are four possible outcomes: both coins can land on heads (HH), both coins can land on tails (TT), the first coin can land on heads and the second coin on tails (HT), or the first coin can land on tails and the second coin on heads (TH).

Since we are interested in the probability of both coins landing on heads, we need to determine the number of favorable outcomes (HH) out of the total number of possible outcomes.

Out of the four possible outcomes, only one outcome is favorable (HH). Therefore, the probability of both coins landing on heads is 1 out of 4.

In fraction form, this can be written as 1/4. The probability can also be expressed as a decimal, which is 0.25, or as a percentage, which is 25%.

It's important to note that in this case, we assume that the coins are fair and unbiased, meaning that the probability of landing on heads is equal to the probability of landing on tails, which is 1/2 or 0.5 for each coin individually.

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Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Answer:

D. 9 in

Step-by-step explanation:

The volume of a sphere is given by the formula[tex]\bold{ V = \frac{4}{3} \pi r^3}[/tex] where r is the radius of the sphere.

In this case, we know that the volume is[tex] 972\pi[/tex] cubic inches.

Substituting this into the formula, we get:

[tex]972\pi = \frac{4}{3} \pi r^3[/tex]

Dividing both sides by π, we get:

[tex]972 = \frac{4}{3} r^3[/tex]

Multiplying both sides by [tex]\frac{3}{4}[/tex], we get:

[tex]729 = r^3[/tex]

Taking the cube root of both sides, we get:

r = 9

Therefore, the radius of the sphere is 9 inches.

The domain and range of the given function are Domain: (−∞,∞),{x|x∈R} and Range: [−2,∞),{y|y≥−2}.

A polynomial function of the form f(x) = ax² + bx + c is called a quadratic function. We already know that the x-intercepts of a quadratic function are given by the quadratic formula (or can be found by factoring). In this worksheet we learn that the graph of any quadratic function is a parabola.

From the given graph, the vertex is (0, -2).

So, the quadratic equation is f(x)=x²-2.

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,∞),{x|x∈R}

Range: [−2,∞),{y|y≥−2}

Therefore, the domain and range of the given function are Domain: (−∞,∞),{x|x∈R} and Range: [−2,∞),{y|y≥−2}.

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The Jenna has  entered a total  concerted length of timber that measures 354inches.

To calculate the total  concerted length of timber Jenna has  entered, we need to convert all the  measures to a  harmonious unit.    

Let's convert the  measures to  elevation for easier  computation.  Neighbor Jim's board is 8 and1/2  bases long, which is equal to8.5  bases. Since there are 12  elevation in a  bottom, the length of Jim's board in  elevation is8.5 * 12 =  102  elevation.

Neighbor Malia has two boards, each measuring 126  elevation.  Now we can add up the lengths of all the boards to find the total  concerted length.  

Total combined length =  Jim's board length Malia's board length Malia's board length  =  102  elevation 126  elevation 126  elevation  =  354  elevation.

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The probability of choosing a ball numbered 30 is determined as 0.

The probability of an event is a number that indicates how likely the event is to occur.

Also we can defined probability as  the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Mathematically, the formula for probability is given as;

Probability =  number of favorable outcomes / total number of outcomes of an event.

In the given question;

There are zero 30 between 1 to 29.

Probability = 0 / 29

Probability = 0

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Answer: not defined/undefined

Step-by-step explanation:

a whole number cannot be divided by zero, thus the answer will always be undefined

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:

C. 16/20

Step-by-step explanation:

Given:

To find:

Sine Theta

Sine of Theta is defined as the ratio of the perpendicular to the hypotenuse.

In this case, the perpendicular is 16 and the hypotenuse is 20.

Sin theta : Perpendicular/Hypotenuse

Therefore, Sin Theta = 16/20

Answer:

  C:  y = -(x +3)² -1

Step-by-step explanation:

You want the vertex-form equation of the parabola with vertex (-3, -1) and opening downward.

For vertex (h, k), the vertex form equation of a parabola is ...

  y = a(x -h)² +k

Given that (h, k) = (-3, -1), the equation will have the form ...

  y = a(x -(-3))² + (-1)

  y = a(x +3)² -1 . . . . . . . . . . matches choice C

The value of 'a' will be negative when the parabola opens downward. Here, its value is -1.

  y = -(x +3)² -1

__

Additional comment

Once you identify the left-shift of 3 units as resulting in an equation with (x +3)² as a component, you can make the appropriate answer choice without considering anything else. Of course, the fact that the curve opens downward immediately eliminates choices A and B.

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The time it will take for the account balance to reach $42,125.54 is 20 years.

The time it will take for the account balance to reach $42,125.54 is calculated by applying the following formula.

[tex]A = Pe^{rt}[/tex]

where;

The time it will take for the account balance to reach $42,125.54 is calculated as;

42,125.54 = 8,505 e^(0.08t)

42,125.54 / 8,505 = e^(0.08t)

4.953 = e^(0.08t)

Take ln of both sides;

ln(4.953) = 0.08t

1.6 = 0.08t

t = 1.6 / 0.08

t = 20 years

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Answer:

Los Angeles, 479,689.21, 46.9

Step-by-step explanation:

A: 1,356,000/372.4 v.s. 3,884,000/503 = Los Angeles

B: 479,689.21 or 4,729.1 * 100.1
C: 837,442/17,855=46.9

The value of x that satisfies the equation x = 12 log₆ (8x) is x = 0.

We have,

To find the value of x in equation x = 12 log₆ (8x), we can solve it algebraically.

Here's how:

Start by isolating the logarithm term by dividing both sides of the equation by 12:

x/12 = log₆ (8x)

Now, rewrite the logarithmic equation in exponential form:

6^(x/12) = 8x

Apply the properties of exponents to simplify the equation further:

(2^3)^(x/12) = (2^3)^x

2^(3x/12) = 2^(3x)

Since the bases are equal, we can equate the exponents:

3x/12 = 3x

Next, cross-multiply to get rid of the fraction:

3x = 12 * 3x

Simplify:

3x = 36x

Subtract 36x from both sides:

3x - 36x = 0

Simplify:

-33x = 0

Divide both sides by -33:

x = 0

Therefore,

The value of x that satisfies the equation x = 12 log₆ (8x) is x = 0.

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The amount of tax that is added to the cost of the computer is 159.72

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

Computer cost = 968

Tax percentage = 16.5%

Using the above as a guide, we have the following:

Tax amount = Computer cost * Tax percentage

substitute the known values in the above equation, so, we have the following representation

Tax amount = 968 * 16.5%

Evaluate

Tax amount = 159.72

Hence, the amount of tax that is added to the cost of the computer is 159.72

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To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Kenneth's speed given that he was able to walk 2 miles in 40 minutes was 0. 05 miles per minute.

To calculate Kenneth's speed, there is a need to divide the distance he walked by the time it took. This would show how fast he was walking such that he could cover the distance in that time.

Kenneth walked 2 miles in 40 minutes.

His speed was therefore:

Speed = Distance / Time

Speed = 2 miles / 40 minutes

Speed = 0. 05 miles per minute

In conclusion, Kenneth's speed is 0. 05 miles per minute.

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Answer:

C

Step-by-step explanation:

I hope this helps!

Answer:

C.) a great circle

Step-by-step explanation:

The value of length of EF is,

⇒ EF = 6.25

We have to given that,

Here, lines 1, m, and n are parallel,

And, AB = 8, BC = 5, and DE = 10,

Now, By using proportionality theorem we get;

⇒ AB / AC = DE / DF

Substitute all the values, we get;

⇒ 8 / (8 + 5) = 10 / (10 +EF)

⇒ 8 / 13 = 10 / (10 + EF)

⇒ 8 (10 + EF) = 10 × 13

⇒ 80 + 8EF = 130

⇒ 8 EF = 130 - 80

⇒ 8 EF = 50

⇒ EF = 50 / 8

⇒ EF = 6.25

Therefore, The value of length of EF is,

⇒ EF = 6.25

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One current issue which relates to Malaysian Public Sector accounting is  Political support and willingness of the key stakeholders to initiate and carry out the reform.

Public sector accounting is a process used by government agencies and municipalities to record financial transactions. It focuses on tracking funds generated from tax revenues and expenditures related to projects or appropriations.

The issue is Political support and willingness of the key stakeholders to initiate and carry out the reform.

This, in some cases, might imply the support from the highest level of authorities, such as a President or a Prime Minister. In most of the cases, the Ministry of Finance (MoF) assumes the leading role in PSA reform implementation. Other key players, including the Treasury, Supreme Audit Institutions, and Professional Accounting Organizations (PAO), need to be also identified and involved to ensure the success of the reform process.

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In slope intercept form, the line's equation is y = 2x + 1. We must apply the formula y = mx + b to formulate an equation in slope intercept form. The slope of the line is represented by m, while the y-intercept is represented by b.

We need two locations on the line to find the slope. Assume we have points (2,5) and (4,9). We may calculate the slope using the following formula:

m = (9 - 5) / (4 - 2) m = (9 - 5) / (4 - 2)

m = 2

As a result, the slope of the line is 2.

We must now identify the y-intercept, which is the point at where the line crosses the y-axis.

We can utilise one of the points we already have to discover this. Let's start with (2,5).

y = mx + b

5 = 2(2) + b

5 = 4 + b

b = 1

As a result, the y-intercept is 1.

Now we can enter the numbers we discovered for m and b into the formula:

y = mx + b

y = 2x + 1

As a result, the slope intercept form equation of the line is y = 2x + 1.

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Answer:

A and C. Hope this helps!

In interval notation, this can be written as (0, 6), which corresponds to option A.

To determine over which interval of the domain the function is negative, we need to examine the behavior of the linear function between the x-axis intercept and the y-axis intercept.

Given that the linear function intersects the y-axis at (0, 4) and the x-axis at (6, 0), we can calculate the slope of the line using the formula:Slope = (change in y) / (change in x) = (0 - 4) / (6 - 0) = -4 / 6 = -2/3

Since the slope of the line is negative, we know that the function is decreasing as x increases. Therefore, the function is negative over the interval of the domain where x is greater than 0 and less than 6, excluding the endpoints.O

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Answer:

(2x + 21)/24

Step-by-step explanation:

To add or subtract functions, a common denominator must be achieved. We can do this by multiplying the numerator and denominator of the first term by 2 and the numerator/denominator of the second term by 3 so the denominator for both terms is 24.
(4x + 3)2/24 - (2x + 5)3/24

Now, simplify the expression

(8x + 6 - 6x + 15)/24

(2x + 21)/24

One could afford to borrow $34,892.

To calculate the loan amount one could afford, we will use formula for the present value of an annuity. The formula is [tex]PV = PMT * [(1 - (1 + r)^{-n}) / r][/tex]

Plugging values:

PV = $250 × [(1 - (1 + 0.625%)^(-240)) / 0.625%]

PV ≈ $250 × [1 - (1 + 0.00625)^(-240)] / 0.00625]

PV ≈ $250 × [1 - 0.1277] / 0.00625]

PV ≈ $250 × 0.8723 / 0.00625]

PV ≈ $34,892.

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Answer: a) To find out how many dollars Mr Anil got with Rs 540,000, we'll divide the amount in Nepali rupees by the exchange rate.

Therefore, Mr Anil got 4,500 dollars with Rs 540,000.

b) After the devaluation of the Nepali rupee by 5%, the new exchange rate would be 5% less than the previous rate.

New exchange rate = Previous exchange rate - (Previous exchange rate * 5%)

The new exchange rate after the devaluation is 1$ = Rs 114.

c) To calculate how much Mr Anil gained or lost, we need to compare the initial exchange rate with the new exchange rate.

Gained or lost = Number of dollars * (New exchange rate - Initial exchange rate)

Mr Anil lost 27,000 rupees due to the devaluation of the Nepali rupee.

d) If the bank took a 2% commission on the transaction, we need to calculate the commission amount and adjust the gain or loss accordingly.

After the devaluation of the Nepali rupee and considering the 2% commission, Mr Anil would lose 27,090 rupees.

Answer:

C) 6 cm.

Step-by-step explanation:

Let's define some variables.
Let AH = h, MH = x.

The attached file is a drawing of the givens.

A triangle's area is found using the formula [tex]A = \frac{b \times h}2[/tex], where:
A = The area of the triangle
b = The base of the triangle
h = The height of the triangle (In our case, AH)

We'll use the given lengths and area of triangle TAH to find the height:

[tex]12 = \frac{8 \times h}2\\12 = 4h\\h = 3[/tex]

We will now do the same but with triangle MAH to find MH:

[tex]9 = \frac{3 \times x}2\\18 = 3x\\x = 6[/tex]

The length of MH is 6 cm.