7.1: Identify The Critical T. An Independent Random Sample Is Selected From An Approximately Normalpopulation (2024)

The solution of the given equations is x = 9.7 and y = -14.36.

The given equations are:

4.7x - y = -9.1

-x + 4.8 = 9.4

These equations can be solved using the substitution method. To do this, we need to isolate one of the variables, for example x. We can start by rearranging the first equation to isolate x, giving x = (-9.1 + y)/4.7.

We can then substitute this expression for x in the second equation, giving (-(-9.1 + y)/4.7 + 4.8 = 9.4). We can rearrange this equation to give y = 10.9 - 4.7(4.8). Using a calculator, this simplifies to y = -14.36.

Once we have our value for y, we can substitute it back into the first equation to calculate our value for x, giving 4.7x - (-14.36) = -9.1. Using a calculator, this simplifies to x = 9.7.

Therefore, the solution to the given equations is x = 9.7, y = -14.36.

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The value of the highlighted interior angle is 130 degrees.

What are interior angles ?

In geometry, interior angles are angles that are formed inside a polygon. For a polygon with n sides, there are n-2 interior angles. The sum of the interior angles of a polygon depends on the number of sides it has.

For example, in a triangle (a polygon with 3 sides), there are 3 interior angles. The sum of these angles is always 180 degrees.

In a quadrilateral (a polygon with 4 sides), there are 4 interior angles. The sum of these angles is always 360 degrees.

In a pentagon (a polygon with 5 sides), there are 5 interior angles. The sum of these angles is always 540 degrees.

According to the question:

When two parallel lines are intersected by a transversal, the alternate interior angles are congruent.

Therefore, we can write:

angle A = angle B

Substituting the given expressions for angle A and angle B, we get:

19x - 3 = 18x + 4

Solving for x, we get:

x = 7

Substituting x = 7 into the expression for angle B, we get:

angle B = 18x + 4 = 18(7) + 4 = 130

Therefore, the value of the highlighted angle is 130 degrees.

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Charles will owe A = 2500[tex]e^{0.12t}[/tex] on his card after t years. The solution has been obtained by using compound interest.

What is compound interest?

Contrary to simple interest, which does not take the principal into account when calculating the interest for the following month, compound interest does. Compound interest is commonly represented in algebra by the letter C.I.

We know that compound interest is given by

A = P[tex]e^{rt}[/tex]

We are given the following information:

P = $2500

r = 0.12

So, from this we get

A = 2500[tex]e^{0.12t}[/tex]

Hence, Charles will owe A = 2500[tex]e^{0.12t}[/tex] on his card after t years.

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The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.

Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.

Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.

Then the probability mass function of X is given by,[tex]P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014[/tex]or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.

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Answer:

He used 20 ounces of the 10% alloy.

Step-by-step explanation:

Let x represent the number of ounces of alloy containing 10%

silver that was used.

Let y represent the number of ounces of alloy containing 40%

silver that was used.

The weight of the alloy made is 60 ounces. It means that

x + y = 60

The amount of silver contained in the first alloy is 10/100 × x = 0.1x

The amount of silver contained in the second alloy is 40/100 × x = 0.4x

The amount of silver contained in the mixture is 30/100 × 60 = 18

Therefore,

0.1x + 0.4y = 18- - - - - - - - - - - - -1

Substituting x = 60 - y into equation 1, it becomes

0.1(60 - y) + 0.4y = 18

6 - 0.1y + 0.4y = 18

- 0.1y + 0.4y = 18 - 6

0.3y = 12

y = 12/0.3

y = 40

x = 60 - 40

x = 20

a)From this 230 is divisible by 10.Then 995 and 526 are not divisible by 10.b)From this 230 and 995 are divisible by 5 and 526 is not divisible by 5.c) From this 230,995,526 are divisible by 2.

Divisibility by 10: A number is divisible by 10 if its last digit is 0. Therefore, 230 is divisible by 10 since its last digit is 0. 995 and 526 are not divisible by 10 since their last digits are not 0. The mathematical formula for divisibility by 10 is: (10 | N) = 0,Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 230. (10 | 230) = 0230/10 = 23 Therefore, 230 is divisible by 10. Divisibility by 5: A number is divisible by 5 if its last digit is 0 or 5. Therefore, 230 and 995 are divisible by 5 since their last digits are 0 and 5 respectively. 526 is not divisible by 5 since its last digit is not 0 or 5. The mathematical formula for divisibility by 5 is: (5 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 995. (5 | 995) = 0995/5 = 199 .Therefore, 995 is divisible by 5. Divisibility by 2: A number is divisible by 2 if its last digit is 0, 2, 4, 6 or 8. Therefore, 230, 995, and 526 are all divisible by 2 since their last digits are 0, 5 and 6 respectively. The mathematical formula for divisibility by 2 is: (2 | N) = 0Where N is the number that is being tested for divisibility. Calculation: For example, let's take the number 526. (2 | 526) = 0.526/2 = 263 .Therefore, 526 is divisible by 2.

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Assuming an average annual return of 7.23%, compounded annually, Mike's initial investment in Procter & Gamble, Inc. 30 years ago was $20,000, which has since grown to a current balance of $69,312.

To solve this problem we can use the formula for compound interest:

A = [tex]P(1 + r/n)^{(nt)}[/tex]

where:

A = final amount (given as $69,312)

P = principal amount (what we're trying to find)

r = annual interest rate (7.23% or 0.0723)

n = number of times interest is compounded per year (1, since it's compounded annually)

t = time in years (30)

Plugging in the values we know and solving for P, we get:

69,312 = [tex]P(1 + 0.0723/1)^{(1*30)}[/tex]

69,312 = [tex]P(1.0723)^{30}[/tex]

P = [tex]69,312 / (1.0723)^{30}[/tex]

P = $13,000 (rounded to the nearest dollar)

Therefore, Mike originally invested $13,000 in Procter & Gamble, Inc. 30 years ago.

Compound interest is interest that is earned on both the principal (the original amount of money invested) and any accumulated interest. This is different from simple interest, where interest is only earned on the principal.

The formula for compound interest takes into account the annual interest rate, the number of times per year that interest is compounded, and the time period during which interest is earned.

In this case, we are given the final amount ($69,312) and the annual interest rate (7.23%). We are also told that interest is compounded annually (n=1) and that the time period is 30 years.

To solve for the original principal amount, we rearrange the formula and substitute in the values we know. Then, we use a calculator or spreadsheet to calculate the final answer. In this case, we find that Mike originally invested $13,000.

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From the information given, it's difficult to determine whether taking out a mortgage for the condo is a good or bad debt move for Blake. However, here are some factors to consider:

Pros of taking out a mortgage:

Blake has saved enough money for a 20% down payment, which means he will only need to borrow $80,000.

Depending on the terms of the mortgage, Blake may be able to secure a low interest rate, which would make the monthly payments more affordable.

Owning a property can be a good long-term investment, as property values tend to increase over time.

Cons of taking out a mortgage:

Even with a 20% down payment, Blake will still owe a significant amount of money and will have to make monthly payments for a long period of time.

If Blake's job situation changes or if he encounters unexpected expenses, he may struggle to keep up with the mortgage payments.

There may be additional expenses associated with owning a property, such as maintenance and property taxes.

Ultimately, whether taking out a mortgage is a good or bad debt move for Blake depends on his individual financial situation, including his income, expenses, and long-term goals. He should carefully consider the pros and cons and consult with a financial advisor before making a decision.

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The function f(x) after the horizontal shift left 6 units is f(x+6).
To perform a horizontal shift left, we add the value of the shift to the x variable inside the function. In this case, the shift is 6 units to the left, so we add 6 to the x variable.
For example, if the original function is f(x) = x^2, the transformed function would be f(x+6) = (x+6)² .In general, for a function f(x), the transformation f(x+a) represents a horizontal shift left by a unit, and the transformation f(x-a) represents a horizontal shift right by a unit.
So, the function f(x) after the horizontal shift left 6 units is f(x+6).

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Answer: 430,203,663,510?

Step-by-step explanation:

four hundred thirty billion, two hundred three million, six hundred sixty-three thousand five hundred ten, into number form is :

= 430,203,663,510.

Hope this helps?

Answer:

430 ,202 ,663 ,510 this is the answer

According to linear inequality w ≤ 2.5, any vehicle weighing 2.5 tons or less can be shipped for less than $1,250.

What are linear inequalities, exactly?

Linear inequalities are mathematical statements that compare two linear expressions using the inequality symbols < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). Linear inequalities involve variables that represent unknown quantities, and the inequality indicates that one expression is less than or greater than another.

For example, a linear inequality might look like this:

2x + 3y ≤ 6

Now,

To determine which vehicles can be shipped for less than $1,250, we need to know the weight of the vehicles being shipped.

Let's assume that the weight of each vehicle is measured in tons. Then, we can set up an inequality to represent the cost of shipping a vehicle:

500w ≤ 1250

where w = weight of the vehicle.

To solve for w, we can divide both sides of the inequality by 500:

w ≤ 1250/500

w ≤ 2.5

This means that any vehicle weighing 2.5 tons or less can be shipped for less than $1,250. Vehicles weighing more than 2.5 tons would cost more than $1,250 to ship.

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To make the charge of an object become 3 μC from -1.4 μC, 19.4 million electrons should be removed.

How to find the value of electron

The charge on a single electron is 1.6 × 10⁻¹⁹ C.It is known that an object has a charge of -1.4 μC.

Therefore, we can write:

q = -1.4 × 10⁻⁶C

The charge that the object should have is 3 μC.

We can write:

Q = 3 × 10⁻⁶ C

The charge lost by the object is Δq = Q - q = 3 × 10⁻⁶ - (-1.4 × 10⁻⁶) = 4.4 × 10⁻⁶ C

The number of electrons that were removed is:

N = Δq/e = (4.4 × 10⁻⁶)/(1.6 × 10⁻¹⁹) = 19.4 × 10⁶ electrons

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The quadratic equation can be solved using square root, factoring, completing the square, or the quadratic formula. The solutions of the equation are x = 0.7751469 ± 0.7751469.

The quadratic equation can be solved using square root, factoring, completing the square, or the quadratic formula. The quadratic equation to be solved is:

[tex]ax^2 + bx + c = 0[/tex]

In this equation, a = 81, b = 0, and c = -49.

Using the quadratic formula, the solutions are [tex]x = √(49/81) ± √(49/81)[/tex].

The first step is to calculate the value of the square root of 49/81. This can be done by dividing 49 by 81 to get 0.60493827.

The next step is to calculate the value of the plus and minus square root of the result. This can be done by taking the square root of 0.60493827 which is equal to 0.7751469.

Finally, the solutions of the equation are x = 0.7751469 ± 0.7751469.

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Option B. 11 yards. The height of the cylinder is approximately 11 yards.

The formula for the volume of a cylinder is V = πr^2h, where r is the radius of the cylinder, h is the height of the cylinder, and π is a constant approximately equal to 3.14.

Since the diameter of the cylinder is 8 yards, its radius is half of that, or 4 yards. We know that the volume of the cylinder is 552.64 yd^3. Substituting the values we have into the formula, we get:

552.64 = 3.14 x 4^2 x h

Simplifying the expression on the right side, we get:

552.64 = 3.14 x 16 x h

552.64 = 50.24h

Dividing both sides by 50.24, we get:

h = 552.64 / 50.24

h ≈ 11

Therefore, About 11 yards tall, the sphere has a diameter.

So, the correct option is (B) 11 yards.

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The planet Mercury has a diameter of 4.87 x 105 kilometers. The planet Venus has a 1.21 x 104 km diameter. The planet Mars has a diameter of 1.28 x 103 kilometers. Mercury, then Mars planet has the smallest diameter.

The diameter is basically divided into two pieces, each of which is a radius. The diameter formula is therefore: Diameter = 2 the radius value. D = 2r serves as the acronym for this formula. The diameter is the separation between two points on the circle's edge around its circumference. The spikes that go through the center of the bicycle wheel from one end to the other serve as a visual representation of diameter. This is equivalent to the diameter of a circle, which is a line segment going through the center and extending from one end of the circle to the other. The circle's diameter can be seen in the figure below as the red section. See how each of the gray segments passes through the same central point to indicate that they are all potential diameters. The longest chord in a circle is always its diameter.

Mercury, then Mars

Given diameters of planets:

Mercury ⇒ 4.87 × 10³ km = 4 870 km

Venus ⇒ 1.21 × 10⁴ km = 12 100 km

Earth ⇒ 1.28 × 10⁴ km = 12 800 km

Mars ⇒ 6.79 × 10³ km = 6 790 km

When compared, we can observe that Mercury has the lowest value.

The second smallest planet is Mars.

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Rounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.

What is tangent function?

The tangent function is a trigonometric function that relates the angle of a right triangle to the ratio of the length of its opposite side to the length of its adjacent side.

According to question:

We can use trigonometry to solve this problem. Let h be the height of the neighbouring building in feet. Then, we can use the tangent function, which is defined as the opposite side (height of the neighbouring building) over the adjacent side (distance between the buildings),

to find h: tan(30°) = h/30

h = 30 * tan(30°)

h ≈ 17.3 feet

However, this value is the height from the ground to the top of the neighbouring building. Since we are on a 100-foot tall building, we need to add 100 feet to get the total height from the ground to our line of sight. Therefore, the height of the neighbouring building is approximately:

h + 100 ≈ 117.3 feet

Rounded to the nearest tenth, the height of the neighbouring building is approximately 117.3 feet.

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As per the given integer, the solution of the sequence is 1, 2, 3, 8, 17, 41, 47

Now, let's see how this algorithm works for different inputs. If the input x is 1, the algorithm would start at the beginning of the list and find the integer at position 1. If the input x is 8, the algorithm would start at the beginning of the list and find the integer at position 2. If the input x is 17, the algorithm would start at the beginning of the list and find the integer at position 3.

If the input x is 47, the algorithm would start at the beginning of the list and find the integer at position 4.

If the input x is 2, the algorithm would start at the beginning of the list and find the integer at position 5.

If the input x is 3, the algorithm would start at the beginning of the list and find the integer at position 6. If the input x is 41, the algorithm would start at the beginning of the list and find the integer at position 7.

Then the resulting sequence of the algorithm is written as,

=> 1, 2, 3, 8, 17, 41, 47

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From the figure we have, 1. Center = M. 2. Four radii - MA, MT, MN, and MI 3. Diameter - IN. 4. Central angles - angle AMT and angle TMN. 5. Inscribed angle - angle MTC. 6. Two chords - IE and CT.

What is chord of a circle?

The chord of a circle is a section of a line that connects two points on its circumference. The chord is one of the several line segments that may be made in a circle whose ends are on the rim. To find the chord PQ, look at the circle below. A chord that runs through the centre of the circle is also thought of as the diameter.

From the given figure we observe that,

1. Center = M.

2. Four radii - MA, MT, MN, and MI

3. Diameter - IN

4. Central angles - angle AMT and angle TMN.

5. Inscribed angle - angle MTC

6. Two chords - IE and CT.

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The required equation of the line parallel to y = -2 that goes through the point (0,5) is y = 5.

How to find the equation of line?

The given line is y = -2, which is a horizontal line passing through y = -2. Any line parallel to this line will also be horizontal and have the same y-coordinate at any point.

Since the line we're looking for passes through the point (0,5), its equation must be of the form y = c, where c is the y-coordinate of the point. Therefore, the equation of the line parallel to y = -2 that goes through the point (0,5) is:

y = 5

Alternatively, we can also see that since the line we're looking for is parallel to y = -2, it will have the same slope as this line, which is 0. Therefore, we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is a point on the line. Substituting m = 0, x1 = 0, and y1 = 5, we get:

y - 5 = 0(x - 0)

Simplifying, we get:

y = 5

So the equation of the line parallel to y = -2 that goes through the point (0,5) is y = 5.

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Using a Z-table, we estimate that around 95.44 percent of seniors scored between 271 and 751. Those who scored above 631 are approximately 15.87% and about 47.72% of seniors obtained scores between 271 and 511. There were almost 1.54% of seniors scored higher than 770. This should be regarded as uncommon because this is a relatively low percentage.

For the first part of the question, we need to find the percentage of seniors who scored between 271 and 751. We can find the Z-scores for these two scores and then use a Z-table to find the corresponding percentages.
Z-score for 271: Z = (271 - 511)/120 = -2
Z-score for 751: Z = (751 - 511)/120 = 2
Using a Z-table, we find that the percentage of seniors who scored between 271 and 751 is approximately 95.44%.
For the second part of the question, we need to find the percentage of seniors who scored above 631. We can find the Z-score for this score and then use a Z-table to find the corresponding percentage.
Z-score for 631: Z = (631 - 511)/120 = 1
Using a Z-table, we find that the percentage of seniors who scored above 631 is approximately 15.87%.
For the third part of the question, we need to find the percentage of seniors who scored between 271 and 511. We can find the Z-scores for these two scores and then use a Z-table to find the corresponding percentages.
Z-score for 271: Z = (271 - 511)/120 = -2
Z-score for 511: Z = (511 - 511)/120 = 0
Using a Z-table, we find that the percentage of seniors who scored between 271 and 511 is approximately 47.72%.
For the last part of the question, we need to determine if a score of 770 should be considered unusual. We can find the Z-score for this score and then use a Z-table to find the corresponding percentage.
Z-score for 770: Z = (770 - 511)/120 = 2.158
Using a Z-table, we find that the percentage of seniors who scored above 770 is approximately 1.54%. Since this is a very small percentage, we can conclude that a score of 770 should be considered unusual.

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1. The volume of the solid obtained by rotating the region bounded by y = x^6, y = 1 about y = 5 is 20π/3 cubic units. 2. the volume of the solid obtained by rotating the region bounded by x = 0, y = 1, x = y^8 about y = 1 is π/3 cubic units.

Region bounded by y = x^6, y = 1 about y = 5:

To find the volume of the solid obtained by rotating the region about the line y = 5, we can use the disk method.

The radius of each disk is given by the distance between the line of rotation and the curve y = x. This distance is equal to 5 - y. The thickness of each disk is dy. Therefore, the volume of each disk is given by:

[tex]dV = π(radius)^2(thickness)= π(5 - y)^2dy[/tex]

Integrating from y = 0 to y = 1, we get:

V = π∫[0,1][tex](y^2 - 10y + 25)dy[/tex]

= 20π/3

2.Region bounded by x = 0, y = 1, x = y^8 about y = 1:

To find the volume of the solid obtained by rotating the region about the line y = 1, we can again use the disk method.

The radius of each disk is given by the distance between the line of rotation and the curve x = 8. This distance is equal to 1 - y. The thickness of each disk is dy. Therefore, the volume of each disk is given by:

dV = π[tex](radius)^2(thickness)[/tex]

= π[tex](1 - y)^2dy[/tex]

Integrating from y = 0 to y = 1, we get:

V = π[tex][y^3/3 - y^2 + y]_[0,1][/tex]

= π(1/3 - 1 + 1)

= π/3

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As a result, the values that satisfy the inequality x2 + 3x - 4 > 0 are those that fall in the intervals where the expression is positive, namely (-, -4) and (1,). Because these numbers are -6 and 5, the answer is -6, 5.

What is inequality?

In mathematics, an inequality is a non-equal connection between two expressions or values. As a result, imbalance leads to inequity. In mathematics, an inequality connects two values that are not equal. Inequality is not the same as equality. When two values are not equal, the not equal symbol is typically used (). Various disparities, no matter how little or huge, are utilised to contrast values. Many simple inequalities can be solved by altering the two sides until just the variables remain. Yet, a lot of factors contribute to inequality: Negative values are divided or added on both sides. Exchange left and right.

To solve the inequality x2 + 3x - 4 > 0, we must first determine the x values that make the inequality true.

[tex]x^2 + 3x - 4 = (x - 1)(x + 4)\\x - 1 = 0 = > x = 1\sx + 4 = 0 = > x = -4[/tex]

These are the positions where the quadratic expression equals zero, often known as the quadratic zeros or roots.

[tex](-5)^2 + 3(-5) (-5) - 4 > 0\s25 - 15 - 4 > 0\s6 > 0[/tex]

As a result, the values that satisfy the inequality x2 + 3x - 4 > 0 are those that fall in the intervals where the expression is positive, namely (-, -4) and (1,). Because these numbers are -6 and 5, the answer is -6, 5.

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The distance between the light hοuse and the whale is 109.5m

What is angle οf depressiοn?

The angle with the hοrizοntal line frοm the οbject that is present in the dοwnward directiοn.

The angle οf depressiοn is 12 and the height οf the light hοuse is 23m.

What is equation?

An equatiοn is a fοrmula in mathematics that expresses the equality οf twο expressiοns by cοnnecting them with the equals sign (=). The wοrd equatiοn and its cοgnates in οther languages may have subtly different meanings; fοr example, in French, an équatiοn is defined as cοntaining οne οr mοre variables, whereas in English, an equatiοn is any well-fοrmed fοrmula cοnsisting οf twο expressiοns linked by an equals sign.

Distance between the whale and the light hοuse is x metre.

[tex]\frac{23}{x}= tan 12[/tex]

[tex]x= \frac{23}{0.21}=109.5 m[/tex]

Hence, the distance between the whale and the light house is 109.5 metre.

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The value οf x is 36 and y is 6.

What is equatiοn?

A mathematical fοrmula knοwn as an equatiοn is created when twο expressiοns are jοined by the equal sign.

There are several methοds tο define an equatiοn. An equatiοn is a claim that demοnstrates the equality οf twο mathematical expressiοns, accοrding tο algebra.

Given in the statement

X=6y……(1) and

x=12+4y…….(2)

Putting the value οf 1 in equatiοn 2

X=12+4y

Or, 6y=12+4y

Or, 6y-4y=12

Or, 2y=12

Or, y=6

Sο, x=6y

Or, x=6*6=36

Hence the value οf x is 36 and value οf y is 6.

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Complete question:

Find the value of x in the given (x = 6y \\x = 12 + 4y)

To find the value of a, we need to use a z-score corresponding to a 99% confidence level. Since the sample size is large enough (n=1500), we can assume a normal distribution and use the standard normal distribution table.

The z-score for a 99% confidence level is 2.576.

Therefore, a = 1 - 0.99 = 0.01 (or 1%).

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-3

-86 + 83 = -3

Hope this helps!

Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)= Q(x) dy/dx=y²+cοs(x)

What is differential equatiοn?

A differential equatiοn is οne that cοntains the derivative οf a functiοn.

1. Autοnοmοus differential equatiοns are differential equatiοns that are οf the fοrm.

dy/dx = f(y)

οur equatiοn is dy/dx = y² + cοs(x) and its nοt οf the abοve fοrm .Sο (A) is ruled οut

2. lοgistic differential equatiοn are οf the fοrm :

y=r[1-(y/k)]y

οptiοn (C) is ruled οut as well

3. A separable differential equatiοn is any differential equatiοn that we can write in the fοllοwing fοrm.

N(y)dy/dx = M(x)Our equatiοn cannοt be seprated fοr x and y like separable differential equatiοns

sο οptiοn B is ruled οut as well.

4. Nοn hοmοgenοus equatiοn are οften fοrm dy/dx +P(y)= Q(x) dy/dx=y²+cοs(x)

this cοuld be written as dy/dx - y²= cοs(x) the fοrm matches

=> οptiοn (D) nοn hοmοgenοues is cοrrect

5.fequatiοns are like dy/dx + P(y) = 0 , the x term is missing

sο οptiοn (E) is nοt valid

6. The eqautοn is nοn linear in nature dy/dx=y²+cοs(x) , sο οptiοn (F) is ruled οut as well.

Optiοn (D) is cοrrect.

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Volume of rectangular prism = length * width * height

Volume of a rectangular=WHL=9/5 x 2/3=1.2

[tex]\frac{9}{5} *\frac{2}{3} =\frac{6}{5} =1.2[/tex]

Volume = length, width, and height can be used to determine the volume of a rectangular prism. If the height is increased by a factor of two while the length is dropped by a factor of one, the volume is indicated by V = (2l) (w) (1/2h). This can be simplified to give us the standard formula for volume, which is l w h. Volume is the quantity of area occupied by anything. When measuring the space occupied by three-dimensional objects like a rectangular prism, we can use the concept of volume. The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. You discovered from this activity that volume is calculated using the formula V = l w h .

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