Neal buys a board game. He pays for the board game and pays $1.54.The sales tax rate is 5.5%. What is the original price of the board game, before tax?

Answer:

True

Explanation:

Answer:

2/25

Step-by-step explanation:

8% = 8/100 = 2/25

The arrival rate (λ) is approximately 0.5 jobs per hour, and the service rate (μ) is approximately 0.3125 jobs per hour.

The operating characteristics are approximately:
Lq = 1.3333
L = 2.1333
Wq = 2.6667
W = 5.3333

(a) To find the arrival rate (λ) and service rate (μ) in jobs per hour, we need to convert the given rates from jobs per day to jobs per hour.

Given:
Arrival rate: 2 jobs per 8-hour day
Mean repair time (service time): 3.2 hours

To convert the arrival rate to jobs per hour:
λ = (2 jobs / 8 hours) * (1 hour / 1/8 day)
λ = 0.5 jobs per hour

To find the service rate (μ), we can use the reciprocal of the mean repair time:
μ = 1 / (mean repair time)
μ = 1 / 3.2
μ ≈ 0.3125 jobs per hour

(b) Operating characteristics:
Lq: Average number of jobs in the queue
L: Average number of jobs in the system (queue + being served)
Wq: Average time a job spends in the queue
W: Average time a job spends in the system (queue + service time)

To calculate these operating characteristics, we can use the formulas for a single-server queue with exponential arrival and service times:

Lq = λ^2 / (μ * (μ - λ))
L = λ / (μ - λ)
Wq = Lq / λ
W = Wq + (1 / μ)

Plugging in the values:

Lq = (0.5^2) / (0.3125 * (0.3125 - 0.5))
L ≈ 0.25 / 0.1172
Wq = Lq / 0.5
W = Wq + (1 / 0.3125)

Evaluating the expressions:

Lq ≈ 1.3333
L ≈ 2.1333
Wq ≈ 2.6667
W ≈ 5.3333

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Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The value of n in the given equation, 5⁸ = 5ⁿ · 5⁴, is 4

From the question, we are to determine the value of n in the given equation.

From the given information,

The given equation is

5⁸ = 5ⁿ · 5⁴

This can be written as

5⁸ = 5ⁿ × 5⁴

By applying the multiplication law of indices, we get

5⁸ = 5ⁿ ⁺ ⁴

Since the bases are equal, we can equate the powers

8 = n + 4

Now,

Solve the linear equation for n

8 = n + 4

Subtract 4 from both sides of the equation

8 - 4 = n + 4 - 4

4 = n

Therefore,

n = 4

Hence, the value of n is 4

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Answer:

pentagons have five sides

Step-by-step explanation:

We want to find out why the statement disprove the conjecture

What the conjecture assumes is that for all polygons with more than 3 sides, all polygons here having their names ending in ‘gons’ have an even number of sides

The term pentagon refers to a 5-sided polygon

This polygon thus have more than 3 sides. Since 5 is not an even number, then we can conclude that the conjecture has been disproven

Answer:

(28x+16)cm

Step-by-step explanation:

2(8x+2)+2(6x+6)

16x+4+12x+12

28x+16

Perimeter = 2(Length + Breadth)

Perimeter = 2(6x + 6 + 8x + 2) cm

Perimeter = 2(14x + 8) cm

Perimeter = 28x + 16

To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Answer: 7/74

Step-by-step explanation:

P(G)=15/37*14/36

      = 1/37*7/2

      = 7/74

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The estimated crop yield from the simulation is 443 (option b).

To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.

Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81

To find the estimated crop yield, we sum up all the random numbers:

37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443

Therefore, the estimated crop yield from the simulation is 443. The correct option is b.

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Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer: The given polynomial is -2x³.

a) To write the polynomial in standard form, we arrange the terms in descending order of degrees:

-2x³

b) The degree of a polynomial is the highest exponent of the variable in the polynomial. In this case, the degree of the polynomial is 3.

c) The lead coefficient is the coefficient of the term with the highest degree. In this case, the lead coefficient is -2.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

substitute t and u with the number

15-9= 6

please like and rate and follow

Answer:

6

Step-by-step explanation:

If t = 15 and u = 9, then:

\(\large \textsf{$t-u = 15-9$}\\ \large \textsf{$\phantom{t-u}=6$}\)

Thus, the answer is 6

There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria. Hence, in total after 3 hours, we have 27 bacteria.

Bacteria are ubiquitous, largely free-living creatures that frequently only have one biological cell. They make up a significant portion of the prokaryotic microbial kingdom. Bacteria, which tend to be a few micrometres long and were among the initial organisms that appeared on Earth, are found in the majority of its habitats.

n = the number of bacteria at a given hour

at zero hour=1 bacteria.

1 bacteria after an hour is split in to 3 bacteria.

n(1)  = 3

n(2)  = 3 x 3  = 9 bacteria

n(3)  = 9 x 3  = 27 bacteria

Hence, in total after 3 hours, we have 27 bacteria

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The area of the rhombus is approximately 112.5 square centimeters.

In a rhombus, all internal angles are equal, so we know that the opposite angles are congruent.

Additionally, the diagonals of a rhombus bisect each other at right angles, forming four congruent right triangles.

Let's denote the length of one diagonal as 15 cm, and the lengths of the sides of the rhombus as a.

Using the Pythagorean theorem, we can find the length of the other diagonal.

Let's label it as d.

In each right triangle, the hypotenuse is the length of a side, which is a, and one leg is half the length of the diagonal, which is 15/2 = 7.5 cm.

Applying the Pythagorean theorem, we have:

a² = (7.5)² + (7.5)²

a² = 56.25 + 56.25

a² = 112.5

a = √112.5

a ≈ 10.61 cm

Thus, the length of each side of the rhombus is approximately 10.61 cm.

Since the diagonals of a rhombus are perpendicular bisectors of each other, the other diagonal (d) is equal to the square root of the sum of the squares of the two sides.

Hence:

d² = a² + a²

d² = 2a²

d = √(2a²)

d = √(2 \(\times\) 10.61²)

d ≈ √(2 \(\times\) 112.5)

d ≈ √225

d ≈ 15 cm

So, the length of the other diagonal is approximately 15 cm.

To find the area of the rhombus, we can use the formula:

Area = (diagonal₁ \(\times\) diagonal₂) / 2

Substituting the values, we get:

Area = (15 \(\times\) 15) / 2

Area = 225 / 2

Area = 112.5 cm²

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Answer:

The Founding of the Colonies.

French and Indian War.

Taxes, Laws, and More Taxes.

Protests in Boston.

Intolerable Acts.

Boston Blockade.

Growing Unity Among the Colonies.

First Continental Congress.

Step-by-step explanation:

There are 2 standard errors of the population​ proportion is occurs when the conditions of a survey sample satisfy those required by the central limit​ theorem, and there is a​ 95% probability.

Central limit theorem:

Central limit theorem or CLT theorem states that the distribution of sample means approximates a normal distribution as the sample size gets larger, regardless of the population's distribution.

Given,

If the conditions of a survey sample satisfy those required by the central limit​ theorem, then there is a​ 95% probability that a sample proportion will fall

Here we need to finds the number of standard errors of the population​ proportion.

Based on the central limit theorem, when we take the situation into consideration, we have identify the there are 2 standard error are happen in the population proportion.

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Answer:

$150.00

Step-by-step explanation:

Tenía $ 5.00

Mi mamá me dio $ 10.00 mientras que mi papá me dio $ 30.00.

Esto significa que luego tengo:

5 + 10 + 30 = $ 45.00

Mi tía y mi tío me dieron 100.00.

Entonces tuve:

45 + 100 = $ 145.00

Tenía otros $ 5.00.

Esto significa que en conjunto tuve:

145 + 5 = $ 150.00

Answer:

4+x

Step-by-step explanation:

you combine your like terms so you take 6x-3x and you end up with 3x than you take that 3x and subtract the 2x from it so you are left with just x so that would be 4+x

Step-by-step explanation:

11) A

The ratio of texts sent to calls made was 8:5.

12)

Noah 4 scoops of powder with 6 cups of water

4/6*100%=66.67%

Andre mixes 5 scoops of powder with 8 cups of water.

5/8*100%=62.5%

it can be seen that Noah's mixture have a stronger orange taste with a concentration of 66.67% while andre's mixture has a concentration of 62.5%.

Answer:

You could expect Trey to make 30 shots.

Step-by-step explanation:

To figure out the answer to your question, we have to divide 12 by 30 to figure out the percentage for the 75 free shots:

12 ÷ 30 = 0.4

Then, we take the 75 and multiply it by 0.4:

0.4 x 75 = 30

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Answer:

roster notation

Step-by-step explanation:

hope this helps

The price of the car after 6.5 years is $23,142.4

Given the formula of a car depreciating given as:

\(V = 32000(2.71)^{-0.05x\) where:

We need to find the value of the car when it is 6.5 years old.

Substitute x = 6.5 into the expression will give:

\(V = 32000(2.71)^{-0.05x}\\V = 32000(2.71)^{-0.05(5.6)}\\V = 32000(2.71)^{-0.325}\\V=32000(0.7232)\\V =23,142.4\)

Hence the price of the car after 6.5 years is $23,142.4

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Mean is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

The score he has to get on the 100-point final exam to have an

average of 80 or better is 104 points or more.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

We have,

Namid had an average of 74 on four history tests.

This means the total score on the four history papers.

Average score = Total score / Number of test

74 = Total score / 4

Total score = 74 x 4

Total score = 296

Now,

Average score = 80 and above

The mark to get on 100 points is to have an average score of 80 and above.

Let the marks be M.

(M + 296) / 5 = 80

M + 296 = 80 x 5

M + 296 = 400

M = 400 - 296

M = 104

Thus,

The score he has to get on the 100-point final exam to have an

average of 80 or better is 104 points or more.

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To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

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Answer:

the 3rd dot is correct........

Answer:

\(\frac{n}{2} - 6 + 10\)

n=20; The value of the expression is 14

Step-by-step explanation:

six less than means we're subtracting 6. So,

-6

the quotient means division. of a number and 2 means, the denominator is two. So,

\(\frac{n}{2}\)

increased by ten means we're adding 10. So,

+10

Now put it all together:

\(\frac{n}{2} - 6 + 10\)

Substitute n with 20:

\(\frac{20}{2} - 6 + 10\)

\(10 - 6 + 10\)

\(4 + 10\)

\(14\)