9 ft
5 ft
4 ft
12 ft
3.4 ft
What is the volume of this figure?

Answer:

125

Step-by-step explanation:

Step-by-step explanation:

5×5²

=5×5×5

=125

index form= 5³

Answer:

the answer is 10

Step-by-step explanation:

because 3+5+2=10

Answer: Total possible combinations are 30

Step-by-step explanation:

We multiply the amount of books to get our ways to arrange.

3 * 5 * 2

10 * 3

Total possible combinations are 30

Answer:

Step-by-step explanation:

The compound interest expression is given as

\(A= P(1+r)^t\)

Given data

Principal P=  $2500

Rate r= 8.25%

Time t = 11 years

Substituting into the expression we can find the final amount A

\(A= 2500(1+0.0825)^1^1\\A= 2500(1.0825)^1^1\\\\A= 2500*2.3917\\A= 5979.25\)

To the nearest dollar the final amount is $5979

For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term.

a. Property Taxes:

The assessed value of the building is $500,000, and the property tax rate is 2.415%. To calculate the property taxes, we multiply the assessed value by the tax rate:

Property taxes = Assessed value * Tax rate

Property taxes = $500,000 * 2.415% (convert percentage to decimal)

Property taxes = $500,000 * 0.02415

Property taxes = $12,075

Therefore, the property taxes on the assessed value of the building will be $12,075.

b. Monthly Mortgage Payment:

To calculate the monthly mortgage payment, we need to consider the loan amount, interest rate, and loan term. The down payment is 20%, so the loan amount will be 80% of the market value of the building:

Loan amount = Market value * (1 - Down payment percentage)

Loan amount = $457,350 * (1 - 20%) (convert percentage to decimal)

Loan amount = $457,350 * 0.8

Loan amount = $365,880

We can now use this loan amount, along with the mortgage interest rate and loan term, to calculate the monthly payment using the formula for a fixed-rate mortgage:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

The monthly interest rate is the annual interest rate divided by 12, and the total number of months is the loan term multiplied by 12.

Annual interest rate = 4.55% (convert percentage to decimal)

Monthly interest rate = 4.55% / 12

Loan term = 30 years

Total number of months = 30 * 12

Now, let's calculate the monthly payment:

Monthly payment = ($365,880 * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

c. Total Interest Paid:

To calculate the total interest paid over the life of the loan, we multiply the monthly payment by the total number of months and subtract the loan amount:

Total interest paid = (Monthly payment * Total number of months) - Loan amount

d. Closing Costs:

The closing costs can vary, but a common range is between 2% and 5% of the purchase price. To calculate the range for closing costs, we'll use these percentages:

Minimum closing costs = Purchase price * 2%

Maximum closing costs = Purchase price * 5%

e. Balloon Mortgage Payment:

For a balloon mortgage, the monthly payments are usually lower, but there is a final "balloon" payment due at the end of the term. To calculate the monthly payment for the balloon mortgage, we'll use the loan amount, interest rate, and loan term:

Monthly payment = (Loan amount * Monthly interest rate) / (1 - (1 + Monthly interest rate)^(-Total number of months))

Now, let's calculate the monthly payment for the balloon mortgage.

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Answer:

x=2

Step-by-step explanation: 1.2x-5.2=-2.4x+2. First, you add 2.4x to 1.2x to get x isolated. So now it's 3.6x-5.2=2. Then add 5.2 to 2 to isolate x. Now you have 3.6x=7.2 now you divide 7.2 by 3.6 to get x=2.

Answer:

x=2

Step-by-step explanation:

1.2x-5.2=-2.4x+2

multiply 10

12x-52=-24x+20

refine and add 52

12x=-24x+72

add 24x

36x=72

divide 36

x=2

The centre line of a control chart is calculated by computing the average (mean) of the data for every period.

In control chart analysis, the centre line represents the central tendency or average value of the process being monitored. It is typically obtained by calculating the mean of the data points collected over a specific period. The purpose of the centre line is to provide a reference point against which the process performance can be compared. Any data points falling within acceptable limits around the centre line indicate that the process is stable and under control.

The calculation of the centre line involves summing up the values of the data points and dividing it by the number of data points. This average is then plotted on the control chart as the centre line. By monitoring subsequent data points and their distance from the centre line, deviations and trends in the process can be identified. Deviations beyond the control limits may indicate special causes of variation that require investigation and corrective action. Therefore, the centre line is a critical element in control chart analysis for understanding the baseline performance of a process and detecting any shifts or changes over time.

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Answer:

-1/3

Explanation:

Answer:

Ionk dis buhh i guess it's -1 sum damm i forgot

Step-by-step explanation:

Hope dis helps ighh

Answer:

there are 5 days in a week it rained 2 of the 5 days that making it 40% of the 5 days

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

plug -4 into the function

3(-4)²-10(-4)+4

48+40+4

92

Answer:

92

Step-by-step explanation:

f(-4)=3(-4)^2-10(-4)+4

=3(16)-10(-4)+4

=48+40+4

=92

Answer:

7.4 km/h.

Step-by-step explanation:

There are 2  30 minute periods in 1 hour.

Therefore his average speed is  2* 3.7 = 7.4 km/h.

Answer:

4 multiplied by m equals 52

Answer:

20/100 x 50 is 10

10% would be 10/100 is fraction form

I want to help you on the first thing you said,

so always consider a percent as a fraction but there denominator is ALWAYS 100 (a way to remember that is that the word "cent" means 100). The word "of" means multiplication so that means your multiplying it with 50 and just do the multiplication.

I'm really hoping you understand!

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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When two dice are rolled, the probability of having both faces the same (doubles) or a total of 4 is 0.33 (rounded to the nearest hundredth). The probability of getting a double is 1/6 since there are 6 possible outcomes for the first die and 1 outcome for the second die that will result in a double.

Similarly, the probability of getting a total of 4 is 1/12, since there are three ways to get a total of 4: (1,3), (2,2), and (3,1). Therefore, the probability of getting either doubles or a total of 4 is P(doubles or total of 4) = P(doubles) + P(total of 4) - P(doubles and total of 4)= (1/6) + (1/12) - (1/36)= 0.33 (rounded to the nearest hundredth).

Therefore, the probability of having both faces the same (doubles) or a total of 4 when two dice are rolled is 0.33.

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The answer is that the resulting function is called a composite function.

A composite function is formed by combining two or more functions, where the output of one function becomes the input of another. In this case, when two functions are combined so that the range of one becomes the domain of the other, the resulting function is a composite function.

This can be given by considering two functions f(x) and g(x). If we want to create a composite function, we need to use the output of one function as the input for the other. So, if we let g(x) be the first function, then the output of g(x) becomes the input for f(x). This can be written as f(g(x)).

Now, if we want the range of g(x) to become the domain of f(x), we need to make sure that the output of g(x) is a valid input for f(x). In other words, the range of g(x) should be a subset of the domain of f(x).

For example, let's say g(x) = x² and f(x) =√(x). The domain of g(x) is all real numbers, and its range is all non-negative real numbers. The domain of f(x) is also all non-negative real numbers. So, we can create a composite function f(g(x)) by using the output of g(x) (which is always non-negative) as the input for f(x).

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The interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.

The answer to this question is option D, which is μ - σ to Q3. To understand why this is the correct answer, we need to first understand what each of the intervals represents. Q1 and Q3 are the first and third quartiles of the data set, respectively. μ is the mean of the data set, and σ is the standard deviation.

When we look at the interval μ - σ to Q3, we can see that it includes the upper quartile and some of the data points to the left of it. This means that the area under the normal curve within this interval will be relatively small compared to the other options.

On the other hand, option B includes the mean and a larger range of data points, which would result in a larger area under the curve. Option C includes Q1 and a larger range of data points, which would also result in a larger area. Option A includes both Q1 and Q3, which cover the majority of the data set and would therefore have the largest area under the curve.

In summary, the interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.
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To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

-5 — 4i

Step-by-step explanation:

-8 + 3 = -5

3i — 7i = -4i

the total parcel size is 88 acres.

Let's denote the total parcel size as X acres.

According to the given information, 1/4 of the land is allocated to shopping, which amounts to 22 acres. Therefore, we can set up the following equation:

(1/4) * X = 22

To find the value of X, we need to solve this equation for X.

Multiplying both sides of the equation by 4, we get:

X = 22 * 4

X = 88

Therefore, the total parcel size is 88 acres.

what is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, known as the left-hand side (LHS) and the right-hand side (RHS), connected by an equals sign (=).

The general form of an equation is:

LHS = RHS

The LHS and RHS can contain variables, constants, mathematical operations (such as addition, subtraction, multiplication, and division), functions, and other mathematical expressions.

The goal when working with equations is to find the values of the variables that satisfy the equation, making both sides equal. This process is often referred to as solving the equation.

For example, the equation "2x + 5 = 13" states that the expression "2x + 5" is equal to 13. To find the value of x that satisfies this equation, we can manipulate the equation to isolate the variable:

2x + 5 - 5 = 13 - 5  (subtract 5 from both sides)

2x = 8

2x/2 = 8/2  (divide both sides by 2)

x = 4

In this case, the value of x that satisfies the equation is 4.

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The probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

To use the normal approximation to find the probability P(X ≥ 63) for a sample size of n = 90 and population proportion of successes p = 0.6, follow these steps:

Step 1: Calculate the mean (μ) and standard deviation (σ) for the binomial distribution.
\(μ = n * p\) = 90 * 0.6 = 54
\(σ = \sqrt{(n * p * (1 - p))} = \sqrt{(90 * 0.6 * 0.4) }\)= √21.6 ≈ 4.65

Step 2: Use the normal approximation.
To find P(X ≥ 63), first convert X to a z-score:
z = \((X - μ) / σ\) = (63 - 54) / 4.65 ≈ 1.93

Step 3: Find the probability using a z-table or calculator.
Using a z-table or calculator, find the probability of a z-score less than 1.93 (since we want P(X ≥ 63), we need to find the area to the right of the z-score):
P(Z ≤ 1.93) ≈ 0.9734

Step 4: Calculate the complement probability.
Since we want P(X ≥ 63), we need to find the complement probability (1 - P(Z ≤ 1.93)):
P(X ≥ 63) = 1 - 0.9734 = 0.0266

So, the probability of having 63 or more successes in the sample is approximately 0.0266, or 2.66%.

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Answer:

x > -5

Step-by-step explanation:

Answer:

Step-by-step explanation:

2(x-3)-5x<9 expand left side

2x-6-5x<9. group like terms on left side

-3x-6<9. add 6 to each side

-3x<15. divide each side by -3 (reverse sign because of division by a negative)

x>-5

Step-by-step explanation:

let's multiply the first equation by 2 and the second equation by -3, and then we add them together :

26x - 12y = 4

-9x +12y = 30

-------------------------

17x 0 = 34

x = 2

and now we use one of the original equations to solve for y :

3×2 - 4y = -10

6 - 4y = -10

-4y = -16

y = 4

the solution is (2, 4).

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7700\\ r=rate\to 3.9\%\to \frac{3.9}{100}\dotfill &0.039\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &4 \end{cases} \\\\\\ A = 7700\left(1+\frac{0.039}{12}\right)^{12\cdot 4}\implies A=7700(1.00325)^{48} \implies A \approx 8997.69\)

Answer: B: 54

Step-by-step explanation:

Variable X is not binomial because it does not meet the requirements of having a fixed number of trials and each trial being independent with the same probability of success. Therefore, X is not a binomial variable.

1. While the total number of births (10,000) and the number of twin births (380) are provided, the variable X represents a random selection of 50 births, which introduces a varying number of trials. Therefore, X is not a binomial variable.

2. Variable Y is also not binomial because it fails to meet the requirement of having a fixed number of trials. The number of houses at risk of being flooded (80) remains constant, but the variable Y represents the count of houses flooded in a randomly selected year, which can vary. Consequently, Y does not satisfy the conditions necessary for a binomial variable.

Neither variable X nor variable Y is binomial. Variable X lacks a fixed number of trials due to the random selection of births, while variable Y lacks a fixed number of trials because the count of flooded houses can vary in different years. Both variables do not meet the criteria of having a fixed number of trials and independent trials with the same probability of success, which are essential for a variable to be considered binomial.

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The population is c) all Americans. The attribute of interest is b) agreeing with the president. The proportion 0.80 (80%) is a sample proportion.

In this scenario, a survey was conducted on 4000 Americans to gauge their agreement with the president on a specific issue. To identify the population, we need to determine who the survey results are intended to represent.

a. If the intention was to capture the opinions of all American voters, then the population would be all American voters.

b. However, since the survey was conducted on only 4000 Americans, the sample would be the 4000 individuals who were interviewed.

c. If the intention was to generalize the results to the entire American population, then the population would be all Americans.

d. In this case, the population would be specifically the 3200 Americans who agreed with the president.

The attribute of interest in this survey is the agreement with the president on the given issue. The proportion of 0.80 (80%) represents the sample proportion because it pertains to the proportion of the 4000 Americans who were interviewed and agreed with the president. It does not represent the entire population proportion.

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The statement is false because adding a vector to a set of vectors can increase its span, but the new span is not necessarily the same as the original span.

The statement is false. To prove this, consider three vectors u1, u2 and u3 that span R3, and a vector u4 that is not a linear combination of

u1, u2 and u3.

The span of

{u1, u2, u3, u4}

will be a subset of the span of

{u1, u2, u3}.

This means that the span of

{u1, u2, u3, u4}

will contain all the vectors that the span of {u1, u2, u3} contains, plus the vector u4. However, it does not necessarily mean that the span of

{u1, u2, u3, u4} will be the same as the span of {u1, u2, u3},

as there may be other vectors that are in the span of

{u1, u2, u3, u4}

but not in the span of {u1, u2, u3}. Hence, the statement is false.

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The complete question is

Determine if the statement is true or false, and justify your answer. If (u1, u2, u3) spans R3, then so does (u1, u2, uz, u). O False. Consider u4 =0 True, the span of a set of vectors can only increase (with respect to set containment) when adding a vector to the set. O True, since the span of {ul, u2, u3, u4} is a subset of the span of {u1, u2, us), O False. Consider u4 = 0. The span of {u1, u2, u3, u4} is a subset of the span of {u1, u2, us}, but the span of {u1, u2, u3, u4} is not the same as the span of {u1, u2, us}.