36 is 0.3 percent of what number​

The approximate monthly percent decrease in value of the boat is 0.5%.

The given value of a boat is 21 200, and it loses 6% of its value every year. We are to find the approximate monthly percent decrease in value.

The given information is as follows: The value of a boat = $21,200The percentage decrease in value = 6%We are to find the approximate monthly percent decrease in value. Annual decrease in value of a boat is 6% of $21,200= $1,272Monthly decrease in value of a boat will be 1/12 of the annual decrease = $1,272/12≈ $106Thus, the approximate monthly percent decrease in value of the boat will be

\($\frac{106}{21,200}*100\%=0.5\%$\)

Therefore, the approximate monthly percent decrease in value of the boat is 0.5%.

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Your question is incomplete, but probably the complete question is :

The value of a boat is $21,200. It loses 6% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.

Answer: 1:0.75

Step-by-step explanation:

Ratio 4 to 3 = 4:3

Simplified Ratio 4.00:3.00

Ratio in Form 1:n 1:0.75

Ratio in Form n:1 1.33:1

The diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Given area of cylinder = 25π cm²

          Height of cylinder = 11 cm.

Now, Area of Cylinder = 2πrh

                  25π = 2πr X 11

                   25 = 22r

                    r = 25 / 22

                  r = 1.14 cm

Then, diameter = 2r = 2 X 1.14 = 2.28 cm

Now area of wrapper = total surface area = 2πr(r + h)

                                    = 2π X 2.28 (2.28 + 11)

                                   = 4.56π X 13.28

                                   = 60.56π cm²

Thus, the diameter of cylinder is 2.28 cm and area of wrapper is 60.56π cm².

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Answer:

mass, pressure, density is the right answer

Step-by-step explanation:

The three main characteristics that can be used to describe air are: C. mass, pressure, density.

Altitude deals with elevation of an object.

Radiation relates to transmission of energy through a medium in form of waves.

Air has mass, pressure, and density.

Therefore, the three main characteristics that can be used to describe air are: C. mass, pressure, density.

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The number of votes that each class president candidate receive is 48 and 72 votes respectively.

Your information is incomplete. Therefore, an overview will be given. Let's say that A received 40% of the vote and B got 60% of the vote.

The number of votes gotten by each person will be:

A = Percentage × Number of votes

= 40% × 120

= 0.4 × 120.

= 48 votes.

B. = Percentage × Number of votes

= 60% × 120

= 0.6 × 120.

= 72 votes.

Therefore, A got 48 votes and B had 72 votes.

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If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

What in mathematics is the congruent?

Use the Third Angles Theorem for  two figures are congruent.

When two of a triangle's angles match up with two of another triangle's angles, the third angle must likewise match up.

If at least two sides and one angle of two triangles are similar, then the triangles are congruent.

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Answer:

8 feet

Step-by-step explanation:

there's 12 inches in 1 foot so 12 x 8 = 96

Answer:

AD = 7

Step-by-step explanation:

Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.

We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD

We can solve the problem by solving for x:

\(\frac{x}{32} =\frac{21}{24}\)

Cross multiply.

\(24x = 672\)

Simplify.

\(x=28\)

Subtract the value of DB to find AD.

\(28-21=7\)

\(AD=7\)

Answer:

Your answer will be y=x2−12x+32

Step-by-step explanation:

Step 1 : x = 4 and  x = 8 are the two real distinct solutions for the quadratic equation, which means that  x − 4  and  x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0

Step 2: Expand  ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0

Which would give you x2 − 12 x + 32 = 0

Step 3: The standard quadratic equation using the given set of solutions

{ 4  , 8 } is y = x 2 − 12 x + 32 .

This is you answer should be  

y = x 2 − 12 x + 32

Answer: -4

Step-by-step explanation:reverse the steps

3(x-7)= -9

3(x-7)/3= -9/3

x-7= -3

x= -3+7

x= -4

Answer:

No

Step-by-step explanation:

Because it is a decimal, it can't be an integer. Integers are whole numbers and can be positive or negative.

Hope this helps!

To find and classify the critical and inflection points of the function y = 2x^3 + 9x^2 + 1, we need to determine the first and second derivatives of the function. The critical points occur where the first derivative is equal to zero or undefined, and the inflection points occur where the second derivative changes sign. By analyzing the sign changes of the derivatives and evaluating the points, we can classify them and sketch the graph.

First, we find the first derivative of y with respect to x: y' = 6x^2 + 18x. To find the critical points, we set y' equal to zero and solve for x: 6x^2 + 18x = 0. Factoring out 6x, we get x(6x + 18) = 0. This equation gives us two critical points: x = 0 and x = -3.

Next, we find the second derivative of y: y'' = 12x + 18. To find the inflection points, we set y'' equal to zero and solve for x: 12x + 18 = 0. Solving this equation, we find x = -3/2 as the only inflection point.

Now, let's classify these points. At x = 0, the function has a horizontal tangent, indicating a local minimum. At x = -3, the function has a horizontal tangent, indicating a local maximum. At x = -3/2, the function changes concavity, indicating an inflection point.

Using this information, we can sketch the graph of the function, noting the critical points, inflection point, and the shape of the curve between these points.

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169π is the area of the lawn will the sprinkler cover.

What is the Area of a Circle?

A closed circle geometric form in space. A circle is a locus of a point traveling around a fixed point at a defined distance from the point in mathematical terms. A circle is essentially a closed curve with an exterior line that is equally spaced from the center. The radius of the circle is the constant distance from the point. You may find several instances of circles in everyday life, like wheels, pizzas, round surfaces, etc. Let's study the terminologies used in the context of circles right now. The area that a circle covers or encloses inside its perimeter is known as its res. It has a square unit of measurement.

Every geometric form has a distinct region.

Area of a Circle, A = π×r×r square units

It is given:

The water has a linear stream of 13 feet

So,

The area of the lawn will the sprinkler cover is π×13×13

The area of the lawn will the sprinkler cover is 169π

Hence,

The area of the lawn will the sprinkler cover is 169π

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The mean would decrease because the outlier is greater than the mean, meaning the sum of the elements of the data set would decrease by more than the mean.

Answer:

-9

Step-by-step explanation:

use an equation to solve this

consecutive means in succession, one after the other

since they're odd, both numbers have to be odd

let x be the first number

x+x+2=-20

+2 because if you only +1, one of the numbers would be even

2x+2=-20

-2. -2

2x=-22

x=-11

the smaller would be -9 since we are adding x and x+2 together

Answer:

less than 3

9/4

Step-by-step explanation:

Answer:

less than 3

9/4

Step-by-step explanation:

boom!!!

The manager wants to control the maximum probability of Type I error at 1% (i.e. the manager wants the significance level to be 1%). To calculate the critical value, we need to find the Z-score associated with a 1% significance level.
To find the critical value, we can use a Z-table or a Z-score calculator. Since the significance level is 1% (0.01), we need to find the Z-score corresponding to the area of 0.99 (1 - 0.01) in the upper tail of the standard normal distribution.
By looking up the Z-table or using a Z-score calculator, we find that the Z-score corresponding to a 0.99 cumulative probability is approximately 2.33. The critical value the manager should use to conduct the hypothesis test is 2.33.

To calculate the probability of Type II error, we need to specify an alternative hypothesis and determine the corresponding population mean value. In this case, the alternative hypothesis is that the mean daily output is greater than 200, and the specified population mean value is 205.

To calculate the probability of Type II error, we need to find the area under the null hypothesis distribution that falls to the right of the critical value. In other words, we need to find the probability that the test statistic, assuming the null hypothesis is true, falls in the rejection region. Since we are assuming the population mean is 205, we can calculate the Z-score using the formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))
Substituting the values, we get:
Z = (205 - 200) / (18 / sqrt(81)) = 5 / (18 / 9) = 5 / 2 = 2.5

Now, we can calculate the probability of Type II error by finding the area under the null hypothesis distribution to the right of the critical value, which is 2.33. Using the Z-table or a Z-score calculator, we find that the probability of Type II error is approximately 0.0062, or 0.62%.
If the sample mean turns out to be 205, we compare it to the critical value. If the sample mean is greater than the critical value (2.33), we reject the null hypothesis. In this case, since the sample mean is 205, which is greater than the critical value of 2.33, we would reject the null hypothesis. The conclusion of the test would be that there is sufficient evidence to suggest that the mean daily output is greater than 200.

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a. The absolute change in city employees who ride the bus to work is 2%.

b. The relative change in city employees who ride the bus to work is approximately 11%.

c. The relative change in city employees who ride the bus to work is approximately 11%.

d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.

a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):

Absolute change = 20% - 18% = 2%

b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.

c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:

Relative change = (Absolute change / Previous year's percentage) * 100

Relative change = (2% / 18%) * 100 ≈ 11%

d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.

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Answer:

the bottom right one

Step-by-step explanation:

it does not overlap so it is a function. What you can do is drag a pencil over it and if there are not 2 lines touching the pencil thebwhole waybit is a function

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

15

Step-by-step explanation:

Notice that 7c-7 and 6c-8 angles form a straight line. This means there angles add up to 180.

\(7c - 7 + 6c - 8 = 180\)

\(13c - 15 = 180\)

\(13c = 195\)

\(c = 15\)

Answer:

X = 4

Step-by-step explanation:

x2 + 1 = 9

We have to cross 1 over to the other side so that x becomes a value on its own. Because we are it over, the addition sign changes to subtraction which makes the expression,

x2 = 9- 1

x2 = 8

For x to stand alone we have to divide both sides by 2

x 2/2 = x

and 8/2 = 4

Therefore x=4 (Answer)

The commission earned are R41123.17, R47931.67 and R15024.09

The VAT included prices are given as:

R271 800,00; R316 800,00 and R99 300,00.

The VAT rate is 12.36%.

So, the price before VAT is calculated as:

VAT included = Price without VAT * (1 + 12.36%)

This gives

VAT included = Price without VAT * 1.1236

So, we have:

Price without VAT = VAT included/1.1236

For the three cars, we have:

Price without VAT = R271 800.00/1.1236 = R241901

Price without VAT = R316800.00 /1.1236 = R281951

Price without VAT = R99300.00/1.1236 = R88377

Hence, the prices of the cars before VAT was added are R241901, R281951 and R88377

This is calculated as:

Commission = Price * 17%

So, we have:

Commission = R241901 * 17% = R41123.17

Commission = R281951 * 17% = R47931.67

Commission = R88377 * 17% = R15024.09

Hence, the commission earned are R41123.17, R47931.67 and R15024.09

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Binomial and hypergeometric random variables are two different statistical tools used to model different types of experiments. Binomial random variables are used to model experiments that have two possible outcomes and hypergeometric random variables are used to model experiments where the number of successes and failures is fixed and the outcome of one trial affects the probability of success in subsequent trials.

In statistics, random variables are used to model the outcomes of a statistical experiment. Binomial and hypergeometric random variables are two such variables that are used to model different types of experiments. Understanding the difference between these two variables and when to use them is essential for statistical analysis.

Binomial random variables are used to model experiments that have two possible outcomes, typically referred to as success and failure. For example, flipping a coin, rolling a dice and getting a certain number, or observing if a person is male or female. In these types of experiments, the outcome of one trial does not affect the outcome of another trial, and the probability of success remains constant for all trials.

On the other hand, hypergeometric random variables are used to model experiments where the number of successes and failures is fixed and the outcome of one trial affects the probability of success in subsequent trials. For example, suppose you have a deck of cards with 52 cards, 13 of which are spades. You draw 5 cards without replacement from the deck. The number of spades you draw depends on the cards you have already drawn, and the probability of drawing a spade changes from trial to trial.

To determine which random variable to use, you need to consider the specific details of the experiment. If the experiment involves a fixed number of trials with only two possible outcomes and a constant probability of success, then you would use a binomial random variable. If the experiment involves a fixed population size and a variable number of successes, with the outcome of one trial affecting the probability of success in subsequent trials, then you would use a hypergeometric random variable.

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Answer:1/2

Step-by-step explanation:

The scalar product P.Q = 33, P.S = -25, and Q.S = -2. The scalar product P-Q, P-S, and Q-S are not defined.

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors and returns a scalar quantity. To compute the scalar product of two vectors, we multiply their corresponding components and sum the results.

For the given vectors, P = (11)i + (10)j + (11)k, Q = (3)i + (4)j - (5)k, and S = -4i + j - 2k.

To find P.Q, we multiply the corresponding components of P and Q and sum the results: P.Q = (11)(3) + (10)(4) + (11)(-5) = 33.

Similarly, P.S = (11)(-4) + (10)(1) + (11)(-2) = -25, and Q.S = (3)(-4) + (4)(1) + (-5)(-2) = -2.

However, the scalar product P-Q, P-S, and Q-S are not defined since these operations involve subtracting vectors, and the scalar product is not defined for vector subtraction.

Therefore, the scalar products P.Q = 33, P.S = -25, and Q.S = -2, while the scalar products P-Q, P-S, and Q-S are not defined.

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10^11 is 100,000,000,000

10^3 is 1000

1,10,100,1000,10000,100000,1000000,100000000,100000000000.

I think it might be 4 times bigger

The steps to find the inverse function are given in the development of the answer of this problem.

The inverse of a function y = f(x) is found exchanging x and y and isolating y.

In this problem, the function is:

\(f(x) = \sqrt{7x - 21}\)

Then the steps to find the inverse function is given as follows:

\(y = \sqrt{7x - 21}\)

\(x = \sqrt{7y - 21}\)

\(x^2 = 7y - 21\)

\(x^2 + 21 = 7y\)

\(\frac{1}{7}x^2 + 3 = y\)

\(\frac{1}{7}x^2 + 3 = f^{-1}(x)\), where \(x \geq 0\).

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