12 cm
I5 cm
5 cm
The prism is made from metal.
The density of the metal is 6.6 grams per cm.
Calculate the mass of the prism,

The probability that a continuous random variable will be equal to any specific value is zero. This is because the probability of an individual value for a continuous random variable is represented by the area under the probability density function (PDF) at that particular value, and the area of a single point is zero.

Answer:

12.1244 cm

Step-by-step explanation:

14²-7²=147

Square root of 174

Answer:

\(72\%\)

Step-by-step explanation:

\(\frac{36}{50}=\frac{72}{100}=0.72=72\%\)

Answer:

72%.

Step-by-step explanation:

36 out of 50 = 36/50 = 18/25

Percentage who voted for Jenny

= 100 * 18/25

= 4 * 18

= 72.

The statement "An estimator is consistent if as the sample size decreases, the value of the estimator approaches the value of the parameter estimated" is False.

Consistency is an important property of estimators in statistics. An estimator is consistent if its value approaches the true value of the parameter being estimated as the sample size increases.

In other words, if we repeatedly take samples from the population and compute the estimator, the values we obtain will be close to the true parameter value.

This is an essential characteristic of a good estimator, as it ensures that as more data is collected, the estimation error decreases.

However, as the sample size decreases, the value of the estimator is more likely to deviate from the true value of the parameter. The reason for this is that a small sample size may not be representative of the population, and as a result, the estimation error may increase.

As a consequence, the statement is false. In conclusion, consistency is a property that an estimator possesses when its value converges to the true value of the parameter as the sample size grows.

As the sample size decreases, the estimator may become less reliable, leading to an increase in the estimation error.

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Given

Equation

x tea chart __, 0, 2, __

y tea chart 0,__, __, 3

Procedure

y = 0

12x = 16

x = 16/12

x = 4/3

x = 0

-8y = 16

y = 16/-8

y = -2

x = 2

12(2) - 8y = 16

24 - 8y = 16

-8y = 16-24

-8y = -8

y = 1

y = 3

12x - 8(3) = 16

12x - 24 = 16

12x = 16+24

12x = 40

x = 40/12

x = 20/6

x tea chart 4/3, 0, 2, 20/6

y tea chart 0, -2, 1, 3

The concert venue is expected to earn $132,860 in profit from sales

The expected amount the company earns as profit can be calculated as follows:

First, we need to find out how many patrons are expected to buy souvenirs: 14,600 patrons x 0.65 = 9,490 patrons.

Then, we need to find out the total revenue from souvenir sales: 9,490 patrons x $20 = $189,800.

Finally, we need to subtract the amount donated to local charities: $189,800 x 0.3 = $56,940.

The expected amount the company earns as profit is therefore: $189,800 - $56,940 = $132,860.

In summary, based on the given information, the concert venue is expected to earn $132,860 in profit from sales of souvenirs at the upcoming weekend concert, after donating 30% of its proceeds to local charities.

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The system of equations is:

x + y = 10

4x + 3y = 36

The solution is x = 6 and y = 4.

A)

Let's define the variables:

We can write the system of equations:

x + y = 10

4x + 3y = 36

Isolate x on the first equation to get:

x = 10 - y

Replace that in the other one:

4*(10 - y) + 3y = 36

40 - 4y + 3y = 36

40 - y = 36

40 - 36 = y

4 = y

And thus, the value of x is:

x = 10 - y = 10 - 4 = 6

They bought 6 cheese wafers and 4 chocolate ones.

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The density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

The density of a substance demonstrates the substance's density in a particular area. Mass per unit volume is the definition of density for a material. In essence, density is an indicator of how closely together matter is arranged.

It is one of an object's special physical characteristics. Greek scientist Archimedes was the first to understand the density principle. Knowing the formula and the corresponding units will make calculating density simple. Density can be symbolized by the letter D or by the symbol.

We know that the formula for density is

D = m/V

Where,

D = Density

m = mass,

V = Volume

25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and

280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

Let us find the mass of each drink mixed to make the new drink

mass = density × volume

mass of apple juice =  1.05 × 25

                                 = 26.25 g

Mass of fruit syrup = 1.4 × 15

                               = 21 g

Mass of carbonated water = 0.99 × 280

                                            = 277.2 g

Total mass of the drink = 26.25 g + 21 g + 277.2 g

                                       = 324.45 g

Volume of the given drink =  320 cm³

Density of the drink = total mass of liquids/ volume

                                 = 324.45g/320cm³

                                  = 1.01 g/cm³

Thus, the density of drink is 1.01 g/cm³ when 25 cm³ of apple juice are mixed with 15 cm³ of fruit syrup and 280 cm³ of carbonated water to make a drink with a volume of 320 cm³.

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Answer:

B  60 minutes

Step-by-step explanation:

if you divide 12 and 6 you get 2 so you multiply 30 and 2.

Answer:

Step-by-step explanation:

Look what happens when you factor the 3 out of the first choice:

f(x) = 3x^2+ 36x + 33 = f(x) = 3(x^2+ 12x) + 11

We can "complete the square:"  x^2 + 12x becomes x^2 + 12x + 36 - 36, which, in turn, becomes (x + 6)^2 - 36

so that the original f(x) becomes   f(x) = 3(x + 6)^2 - 36 + 33, or

f(x) = 3(x + 6)^2 - 3

Comparing this to

f(x) =a(x - h)^2 + k reveals that h = -6 and k = -3.  Thus, the vertex is at (-6, -3).

The probability that a player will complete the game in between 21.8 and 25.2 hours is approximately 0.6826, or 68.26%.

The mean time to play the game is 23.5 hours with a standard deviation of 1.7 hours.

We can standardize the values of 21.8 and 25.2 using the formula for standardizing a normal distribution:

Z = (X - μ) / σ

Where:

Z is the standard score

X is the value we want to standardize

μ is the mean of the distribution

σ is the standard deviation of the distribution

Standardizing 21.8:

Z1 = (21.8 - 23.5) / 1.7

Standardizing 25.2:

Z2 = (25.2 - 23.5) / 1.7

Calculating Z1 and Z2:

Z1 ≈ -1.00

Z2 ≈ 1.00

Next, we can use a standard normal distribution table or a calculator to find the probabilities associated with these z-scores.

The probability that a player will complete the game in between 21.8 and 25.2 hours can be calculated as:

P(21.8 ≤ X ≤ 25.2) = P(Z1 ≤ Z ≤ Z2)

Looking up the probabilities for z-scores of -1.00 and 1.00 in a standard normal distribution table, we find that the probability is approximately 0.6826.

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Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

Answer:

a 90° rotation

I'm not sure about answer...

a. The replacement free cash flows is $255,000

b.  The Payback Period time required to recover the initial investment is 2.7778 years.

d. By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

a. To calculate the replacement free cash flows, we need to consider the cash flows associated with the new fleet of trucks. Here's the calculation:

Initial cash outflow: Purchase cost of new trucks + Shipping cost

= $350,000 + $50,000

= $400,000

Annual cash flows:

Operating cost savings:

Diesel fuel savings: $250,000 - $150,000 = $100,000

Maintenance cost savings: $35,000 - $10,000 = $25,000

Net operating working capital reduction: $20,000

Total operating cost savings per year: $100,000 + $25,000 + $20,000 = $145,000

Revenue increase:

Revenue growth rate: 10%

Year 1 revenue increase: $800,000 * 10% = $80,000

Year 2 revenue increase: $800,000 * 10% = $80,000

Year 3 revenue increase: $800,000 * 10% = $80,000

Year 4 revenue increase: $800,000 * 10% = $80,000

Year 5 revenue increase: $800,000 * 10% = $80,000

Salvage value: Market value of the new trucks at the end of 5 years = $30,000

Free cash flows:

Year 0: Initial cash outflow = -$400,000

Year 1: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 2: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 3: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 4: Cash flow = Operating cost savings + Revenue increase = $145,000 + $80,000 = $225,000

Year 5: Cash flow = Operating cost savings + Revenue increase + Salvage value = $145,000 + $80,000 + $30,000 = $255,000

b. The Payback Period is the time required to recover the initial investment. To calculate it, we sum the cash flows until they equal or exceed the initial investment. Here's the calculation:

Payback Period = Number of years to recover initial investment

= 2 years (Year 1 cash flow + Year 2 cash flow)

+ (Remaining investment / Year 3 cash flow)

= 2 years + ($400,000 - $225,000) / $225,000

= 2 years + 0.7778 years

= 2.7778 years

c. To calculate the Net Present Value (NPV) and Profitability Index (PI), we need to discount the cash flows using the given discount rate of 15%. Here's the calculation:

Discount rate: 15%

Present value factor for each year:

Year 0: 1 / (1 + Discount rate)^0 = 1

Year 1: 1 / (1 + Discount rate)^1 = 0.8696

Year 2: 1 / (1 + Discount rate)^2 = 0.7561

Year 3: 1 / (1 + Discount rate)^3 = 0.6575

Year 4: 1 / (1 + Discount rate)^4 = 0.5718

Year 5: 1 / (1 + Discount rate)^5 = 0.4972

NPV calculation:

NPV = (Year 0 cash flow) + (Year 1 cash flow * Present value factor) + (Year 2 cash flow * Present value factor) + ...

= -$400,000 + ($225,000 * 0.8696) + ($225,000 * 0.7561) + ($225,000 * 0.6575) + ($225,000 * 0.5718) + ($255,000 * 0.4972)

Profitability Index calculation:

PI = NPV / Initial investment

= NPV / $400,000

d. To calculate the Internal Rate of Return (IRR), we find the discount rate that makes the NPV equal to zero. Here's the calculation:

IRR = Discount rate that makes NPV equal to zero

By calculating the NPV at various discount rates, we can determine the rate at which NPV is closest to zero.

e. Based on the information provided, we can determine if the fleet should be replaced by considering the Payback Period, NPV, Profitability Index, and IRR.

If the Payback Period is within the company's acceptable timeframe and the NPV is positive, or the Profitability Index is greater than 1, and the IRR exceeds the company's required rate of return, then replacing the fleet would be financially favorable. If any of these criteria are not met, it would indicate that the replacement may not be the best option.

Please note that the calculation of IRR requires further information, and the final decision should consider additional factors such as qualitative aspects, operational requirements, and strategic considerations.

Without the specific values for cash flows in each year, it is not possible to provide a definitive answer to whether the fleet should be replaced based on the given information.

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Answer:

d ≤ -0.5

Step-by-step explanation:

Multiply each term by -1

Answer:

X= 48

Step-by-step explanation:

math

Way

- It’s a calculator for algebra and stuff

Answer: $7.50

Step-by-step explanation:

Answer:

Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property

The expression that shows 7+21 written as a product of two factors is

7(1 + 3).

To solve the above question, we apply the Distributive property.

This is expressed as:

      a (b + c) = ab + ac

Where

a is the common factor

We are given the expression:

7 + 21

Splitting this into two factors using the distributive property

7 + 21

The common factor for 7 and 21 is 7

Hence, by factorising we have:

7 + 21 = 7(1 + 3)

Therefore, the expression that shows 7+21 written as a product of two factors is :

7(1 + 3)

Step-by-step explanation:

Answer:

hope this helps you out good luck

The boat will be worth of $5354.10 after 5 years.

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function.

For b > 0 and b 1, an exponential function has the form f(x) = \(b^x\).

We know from the function

y = a \(b^x\)

Where,

A: initial value

b: rate of change

x: number of years

y: future value

So, y = 11250 x (1- 0.06\()^{12\)

y = 11250 x \(0.94^{12\)

y= 0.47592031481 x 11250

y= 5354. 10

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The closest number to 1/4 is 0.28

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

Number = 1/4

Options =  4/5, 1/5, 0.82, 0.28

To see the closest, we can calculate the absolute difference between 1/4 and each of the given numbers:

The number that is closest to 1/4 is the one with the smallest absolute difference.

In this case, that number is 0.28

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Comlete question

Which number is closest to 1/4? Explain

4/5, 1/5, 0.82, 0.28

The number of squares in the checkered pattern wall is 216 squares.

Given that,
The wall has an area of 54 square feet, and Colette plans to paint squares in a checkered pattern. Each square will have an area of 0.25 square feet.
A number of squares with 0.25 square feet area is to be determined.

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°

Here,
The area of the wall is 54 feet²
The area of each checkered pattern square = 0.25 feet²
Now the number of small squares = 54 / 0.25 = 216

Thus, the number of squares in the checkered pattern wall is 216 squares.

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The mean of the probability distribution is μ = 118.

We are given that a random variable x has a normal distribution with standard deviation σ = 25, and the probability that x exceeds 150 is 0.90. We need to find the mean of the probability distribution, denoted by μ.

Using the properties of the standard normal distribution, we can convert the given probability to a z-score:

P(x > 150) = 0.90

z = (150 - μ) / σ

From standard normal distribution tables or a calculator, we can find the z-score that corresponds to a probability of 0.90, which is approximately 1.28.

Substituting these values into the z-score formula and solving for μ, we get:

1.28 = (150 - μ) / 25

Multiplying both sides by 25, we get:

32 = 150 - μ

Subtracting 150 from both sides, we get:

-118 = -μ

Dividing both sides by -1, we get:

μ = 118

Therefore, the mean of the probability distribution is μ = 118.

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Answer:

76.345=

70 +6 +0.3 +0.04 +0.005

explanation:

70 +6 +0.3 +0.04 +0.005= 76.345

To cut the margin of error for a given confidence level in half, you would need to quadruple the sample size.

The margin of error is influenced by three factors: the desired confidence level, the standard deviation of the population, and the sample size. Assuming the confidence level and standard deviation remain constant, the margin of error decreases as the sample size increases.

The relationship between the sample size and the margin of error is approximately inversely proportional. Therefore, to cut the margin of error in half, you would need to double the sample size. However, this only reduces the margin of error by 50%, not 100%.

To achieve a reduction of 100% in the margin of error, you would need to quadruple the sample size. This is because if you double the sample size, you reduce the margin of error by 50%. Then, doubling it again reduces the remaining margin of error by another 50%, resulting in a total reduction of 75%. Doubling it for the third time reduces the remaining margin of error by another 50%, resulting in a total reduction of 87.5%. Finally, doubling it for the fourth time reduces the remaining margin of error by another 50%, resulting in a total reduction of 93.75%. Therefore, to achieve a reduction of 100% and cut the margin of error in half, you need to quadruple the sample size.

To cut the margin of error for a given confidence level in half, you would need to quadruple the sample size. Increasing the sample size helps to reduce the margin of error as it provides more data points, leading to more accurate estimates. However, it is important to note that increasing the sample size also incurs additional costs and efforts in data collection and analysis. Therefore, it is crucial to carefully consider the trade-off between the desired level of accuracy and the practical constraints of the study.

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Answer:

-3.5, -3, -1, 3, 4.5

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

Answer:

f

Step-by-step explanation:

Answer:

0.4= 4/10= 2/5

Step-by-step explanation:

The first decimal place after the point represent the place holder "tenth's"

0.4 = 4/10

This can simply to 2/5

Hope it will help:-)

2 over 5

Step-by-step explanation:

0.4=4 over 10 simplify=2over5