I need help, Find the volume of this object. Use 3 for Pi.

The two correct statements are a. The rate of change is 3 over the interval 1 ≤ x ≤ 2 & The rate of change is 3 over the interval 1 ≤ x ≤ 3. And as well as The rate of change is 5 over the interval 2 ≤ x ≤ 3 is also correct statement.

Divide the change in y-values by its change in x-values to determine the average rate of change. Identifying changes in measurable parameters as average speed or mean velocity calls for the knowledge of the average rate of change.

The average rate is the concentration change over a selected time period. It matters when you take the measurements. The solution is to find the slopes of the line to the concentrations time versus curve at that location.

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The ordinary numbers for the expressions will be

a. 3.25*10⁴ = 32500

b. 6.04*10⁻³= 0.00604

c. 2400000 = 2.4*10⁶

d. 0.00147 = 1.47*10⁻³

What are expressions exactly?

In mathematics, expressions are mathematical assertions made up of at least two sentences that contain numbers, variables, or both and are linked by an operator. Mathematical operations include addition, subtraction, multiplication, and division. For example, x + y is an equation that uses an addition operator to separate the components x and y. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.

e.g. A number is six times the size of another number, x. This sentence is mathematically stated as x/2 + 6. Mathematical expressions are used to address complex problems.

Now,

Given expressions/Numbers are a. 3.25*10⁴  then ordinary form is

3.25*10000

=32500

b. 6.04*10⁻³ then ordinary numbers is

=6.04/1000

=0.00604

c. 2400000 then standard from is

=2.4*1000000

=2.4*10⁶

d. 0.00147  then standard form is

=1.47/1000

=1.47*10⁻3

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The probability of both free throws is 0.7921, at least one free throw is 0.9889, missing both free throws is 0.0121.  58% of his free throws is a better strategy as it results in a higher probability of missing at least one free throw.

The probability of making one free throw is 0.89. Therefore, the probability of making both free throws is: 0.89 * 0.89 = 0.7921 (rounded to 2 decimals).

The probability of missing one free throw is 1 - 0.89 = 0.11. Therefore, the probability of making at least one free throw is: 1 - 0.11 * 0.11 = 0.9889 (rounded to 2 decimals).

The probability of missing one free throw is 0.11. Therefore, the probability of missing both free throws is: 0.11 * 0.11 = 0.0121 (rounded to 2 decimals).

For the worst free-throw shooter who makes 58% of his free throws:

The probability of making both free throws is: 0.58 * 0.58 = 0.3364 (rounded to 4 decimals).

The probability of making at least one free throw is: 1 - 0.42 * 0.42 = 0.8236 (rounded to 2 decimals).

The probability of missing both free throws is: 0.42 * 0.42 = 0.1764 (rounded to 4 decimals).

For the player who makes 89% of his free throws:

The probability of making both free throws is: 0.89 * 0.89 = 0.7921 (rounded to 4 decimals).

The probability of making at least one free throw is: 1 - 0.11 * 0.11 = 0.9889 (rounded to 2 decimals).

The probability of missing both free throws is: 0.11 * 0.11 = 0.0121 (rounded to 4 decimals).

Therefore, intentionally fouling the player who makes 58% of his free throws is a better strategy as it results in a higher probability of missing at least one free throw.

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Answer:

Answers are below ----v

Step-by-step explanation:

1. Clockwise

2. 3

3. (y, -x)

4. (3x,3y)

Answer:

9.09%

(⬇Read my notes⬇)

Notes:

Hi there,

I know this answer is going to be incorrect on RSM, but it is the correct answer. Everyone has been saying that it's 9.09%, and I even found that as well. So I don't know why RSM is saying that it's wrong, because it should be correct.

- 201600823

The standard deviation of the population is approximately 11.8 ounces.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The formula to find the standard deviation is given

σ = √( Σ(x - μ)² / N )

where  μ is the mean.

μ = (94 + 113 + 93 + 123 + 93 + 102) / 6 = 100

Next, we can calculate the deviations of each value from the mean:

94 - 100 = -6

113 - 100 = 13

93 - 100 = -7

123 - 100 = 23

93 - 100 = -7

102 - 100 = 2

σ = √( -6)²+( 13)²+( -7)²+( 23)² +( -7)²+( 2)²/ 6 )

=√36+169+49+529+49+4/6

=√836/6=11.8

Hence, the standard deviation of the population is approximately 11.8 ounces.

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The more accurate statement is that hypotheses are only as good as the observations on which they are based.

A hypothesis is a tested assertion regarding the relationship between two or more variables or a suggested explanation for some observable occurrence in a scientific setting.

As a result, hypothesis are only as good as the observations upon which they are built.

For instance, if we stay up late, we will be fatigued the next day. Turning off your phone allows it to charge more quickly. All of them are hypotheses since they are based on observations and are only valid for as long as the observations stay true.

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A t-test is a statistical test used to determine if there is a significant difference between the means of two groups.

In this case, the two groups being compared are first basemen and all other players, and the variable being measured is salary. By performing a t-test, we can determine if there is a significant difference in the average salary between first basemen and all other players.

To perform a t-test, we first calculate the difference in means between the two groups and divide by the standard error of the difference. The standard error takes into account the variability in the sample and the sample size. The result is the t-statistic, which is then compared to a t-distribution with degrees of freedom equal to the sum of the degrees of freedom of the two groups minus 2. The t-distribution gives us the probability of observing a difference as large or larger than the observed difference by chance if the two groups have the same mean. This probability is known as the p-value.

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The equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.

A mathematical statement that equates two algebraic expressions is known as an equation. The equal to (=) sign appears between the expression and an equation.

Parallel lines are straight lines in the same plane that never cross each other.

The parallel lines have the same slope.

Given that,

Equation of the given line is x = -2

Any line parallel to this line will be in the form x = K, where K is a constant.

The line will pass through ( -5 , 4).

The line x = K will satisfy the point ( -5 , 4)

-5 = K

x = -5

Hence, the equation of the line that is parallel to the line x = -2 and passes through the point (-5, 4) is x = -5.

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The exponential function that best models the number of game systems sold, in million, x years since 2015 is given as follows:

y = 30.5(0.7)^x.

The standard definition of an exponential function is given as follows:

y = ab^x.

In which:

Considering the graph, the parameters for this problem are given as follows:

Hence the function is defined as follows:

y = 30.5(0.7)^x.

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Answer: The number of blue marbles in the sample is 11, so the proportion of blue marbles in the sample is 11/20. If the sample is representative, we can use this proportion to estimate the proportion of blue marbles in the whole bag of 950 marbles. So, our estimate of the number of blue marbles in the whole bag is:

950 * (11/20) = 477.5

So, we can estimate that about 478 marbles out of 950 are blue.

Step-by-step explanation:

The combinations that are more affected by extreme observations are mean and standard deviation, while the combinations that are less affected are median and IQR.

The mean is more affected by extreme observations, because it takes into account the value of every observation in the data set, whereas the median only considers the middle value(s) and is therefore less sensitive to extreme values.

The standard deviation is more affected by extreme observations, because it takes into account the difference between each observation and the mean of the data set. A single extreme value can have a large impact on the mean, and therefore on the standard deviation.

On the other hand, the interquartile range (IQR) is less affected by extreme observations, because it only considers the range of the middle 50% of the data. The median and IQR are often used together to describe a data set that has extreme values or is not normally distributed.

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Answer: 96

The sum of the interior angles of a regular heptagon is equal to (n-2)180 degrees, where n is the number of sides of the polygon.

Since a regular heptagon has 7 sides, the sum of its interior angles is (7-2)180 = 720 degrees.

Therefore, the measure of each interior angle is 720 degrees / 7 = 104 degrees.

If the measure of an interior angle is (w + 8) degrees, then w + 8 = 104.

Solving for w, we get w = 96.

Based on the given simultaneous equation, the value of x=-4  whereas the value of   y=-7

Two or more algebraic equations that share variables, such as x and y, are referred to as simultaneous equations.

Because the equations are solved simultaneously, they are referred to as simultaneous equations.

Here are some examples of simultaneous equations:

2x + 4y = 14

4x 4y = 4

6a + b = 18

4a + b = 14

3h + 2i = 8

2h + 5i =10

Each of these equations could have an infinite number of solutions.

However, if we have at least as many equations as variables, we may be able to solve them using simultaneous equations methods.

So, given

{y=−2x+1

{4x+y=9

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

16+(-7)=9

9=9

x=-4

y=-7

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The volume of the solid of revolution is equal to 21π cubic units.

In this problem we find the representation of a figure, whose area is also shown and whose solid of revolution is can be defined by following formula:

V = π · A

Where:

First, the area of the representation is found by summing the areas of two compounding rectangles:

A = 5 · 3 + 2 · 3

A = 21

Second, compute the volume of the solid of revolution:

V = 21π

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- 8/9 - (-2/9)

The answer I have gotten is -6/9

It is important to note that this calculation provides the value of tan(x) in terms of the cosine of the angle x, which is dependent on the specific triangle that is being considered.

Given the triangle with sides ZY = 48, ZX = 50, and XY = 14, we can use trigonometry to find the value of tan(x).

First, we can use the Pythagorean theorem to find the value of YX, the length of the side opposite angle x:

[tex]YX = \sqrt{(ZY^2 + ZX^2 - 2 * ZY * ZX * cos(x))[/tex]

We know that ZY = 48 and ZX = 50, so we can substitute these values into the equation:

[tex]YX = \sqrt{(48^2 + 50^2 - 2 * 48 * 50 * cos(x))[/tex]

[tex]YX = \sqrt{(2304 + 2500 - 2400 * cos(x))[/tex]

Next, we can use the definition of tangent to find the value of tan(x):

[tex]tan(x) = YX/ZX = \sqrt{(2304 + 2500 - 2400 * cos(x)) / 50[/tex]

It is important to note that this calculation provides the value of tan(x) in terms of the cosine of the angle x, which is dependent on the specific triangle that is being considered. The exact value of tan(x) will depend on the specific angle x in the triangle.

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The probability of Nishtha using Rs 5 coin is  [tex]\frac{1}{4}[/tex] , if she needs to pay for a pencil Rs 4.

P(E) = number of favorable outcomes / total number of outcomes

Denominations of coins = ₹1, ₹2, ₹5 and ₹10 each

Total number of coins = 4

Coins that can pay the amount = ₹5 and ₹10

Number of Favorable Outcomes = 2

For the probability of using two coins :-

P(E) = [tex]\frac{2}{4} = \frac{1}{2}[/tex]

we have to find the probability of using ₹5 coin. And here the probability of using of ₹5 coin and ₹10 coin are equal likely. So using of ₹5 coin is 50% of the probability of using both coin

P(rs5) = [tex]50\% \times \frac{1}{2}[/tex]

         = [tex]\frac{1}{4}[/tex]

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Approximately 70 miles separated Harold's home at his grandparents' home from his own home. Accordingly, Harold travelled the following distance overall on his birthday: 70 + 74.46 + 70 ≈ 214.46

What is a distance? . Regardless of the start or end point, distance can be defined as the amount of space object has to cover.

The metre serves as the SI unit of distance (m). Centimeters (cm) are a common unit of measurement for short distances, whereas kilometres (km) are used for longer distances (km). You could measure a piece of paper's length in centimetres, for instance, by measuring from the bottom to the top.

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Answer: x = 4, y = -8

Step-by-step explanation:

Because 2 is a multiple of four, multiply the first equation by two to eliminate the x value and effectively isolate y.

4x - 4y = 48

4x + 7x = -40

If we were to subtract the x values, that gives us -11y = 88, or y = -8.

Then, just plug y into your equation of choice.

2x - 2(-8) = 24

2x + 16 = 24

2x = 8

x = 4

One way you can check whether the values is right is plug the y value into the other equation and see if you receive the same answer.

4x + 7(-8) = -40

4x = -40 + 56

4x = 16

x = 4

Answer:

(-1,3) and (3,-5)

Step-by-step explanation:

I'm assuming since it is giving no information that it wants where the two graph intersect each other.

So, by the looks of it they intersect at

(-1,3) and (3,-5)

Step-by-step explanation:

173 bagels left after the first hour.

Answer:

Number is -10

Step-by-step explanation:

Let Number be x

so, 5x= 30+8x

Take 30 other side and 5x other side

so, 8x-5x=-30

3x=-30

x=-10

HOPE THIS HELPS... THANK YOU

The measure of angle NOP is found by solving an equation that is obtained by using the fact that the sum of the angles in a triangle is 180 degrees. The solution is m∠NOP to obtain the answer of 53.13 degrees.

In the problem, we are given a triangle NOP, where \overline{NP} is extended through point P to point Q. We are given the measures of three angles: m∠OPQ, m∠PNO, and m∠NOP.

We are asked to find the measure of angle NOP.To find the measure of angle NOP, we can use the fact that the sum of the angles in a triangle is always 180 degrees. So, we add up the measures of the three angles we know:

m∠OPQ + m∠PNO + m∠NOP = 180

We are given the measures of m∠OPQ, m∠PNO, and m∠NOP in terms of x. We substitute these values and get an equation in terms of x:

(9x-19) + (2x+5) + (3x+16) = 180

Simplifying the left side of the equation, we combine like terms:

14x + 2 = 180

We can then isolate x by subtracting 2 from both sides of the equation:

14x = 178

And then we can solve for x by dividing both sides of the equation by 14:

x = 12.71

Now that we know x, we can use it to find the measure of angle NOP, which is what we were asked to do. We substitute x = 12.71 into the equation for m∠NOP:

m∠NOP = 3x + 16 = 3(12.71) + 16 = 53.13

Therefore, the measure of angle NOP is 53.13 degrees.

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Answer:

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Answer: -7

Step-by-step explanation: I hope this helped you out!!!! Please mark me as brainiest.

The power of the snow machine is 10,000 Joules per second.

power is simply the amount of energy transferred or converted per unit time.

It is expressed as;

P =  work-done / time

P = ( force × displacement ) / time.

Given the data in the question;

Plug the given values into the above formula and solve for P.

P = ( 1000N × 1000m ) / 100s

P = ( 1000000Nm / 100s

P = 10,000 Nm/s

P = 10,000 J/s

Therefore, the power of the machine is  10,000 J/s.

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Answer:

[tex]a_{n}[/tex] = 6n - 5

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence

7 - 1 = 13 - 7 = 19 - 13 = 6

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 and d = 6 , then

[tex]a_{n}[/tex] = 1 + 6(n - 1) = 1 + 6n - 6 = 6n - 5