Mahesh wants to cut out circles of radius 3⁄4 cm from a cardboard of dimensions 6 1⁄4 cm × 3 3⁄4 cm. How many full circles can be cut out from the cardboard?



PLS ANSWER AS SOON AS POSSIBLE AND I'LL MARK U AS BRAINLIST

2. Tthe probability of a score being between 575 and 620 is approximately 0.2345 or 23.45%.

1. To find the values between which the middle 95% of scores fall, we need to find the z-scores corresponding to the 2.5th and 97.5th percentiles of the standard normal distribution. These percentiles correspond to the critical values that enclose the middle 95% of the distribution.

The z-score corresponding to the 2.5th percentile is -1.96, and the z-score corresponding to the 97.5th percentile is 1.96.

To find the actual score values, we can use the formula:

Score = Mean + (z-score * Standard Deviation)

Lower Score = 600 + (-1.96 * 75)

≈ 450

Upper Score = 600 + (1.96 * 75)

≈ 750

Therefore, the middle 95% of scores fall between approximately 450 and 750.

2. To determine the percentage of exam takers who scored below 665, we need to find the cumulative probability of the z-score corresponding to 665.

Z-score = (Score - Mean) / Standard Deviation

Z-score = (665 - 600) / 75

= 0.8667

Using a standard normal distribution table or a calculator, we can find that the cumulative probability to the left of a z-score of 0.8667 is approximately 0.8078.

Therefore, you did better than approximately 80.78% of exam takers.

3. To find the probability of a score being between 575 and 620, we need to calculate the cumulative probability for both z-scores.

For a score of 575:

Z-score = (575 - 600) / 75

= -0.3333

Cumulative Probability = 0.3707

For a score of 620:

Z-score = (620 - 600) / 75 = 0.2667

Cumulative Probability = 0.6052

To find the probability between the two scores, we subtract the cumulative probability of the lower score from the cumulative probability of the higher score:

Probability = 0.6052 - 0.3707

= 0.2345

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Answer:

x=21 interior angle =150 exterior angle=210

Step-by-step explanation:

to find the angle rule=(n-2)×180

n is the number of sides in the polygon

(12-2)×180=1800

1800/12=150 (this is the interior angle)

7x+3=150

x=21

exterior angle = 360-150=210

Answer: -48

Step-by-step explanation:

k/3 + 16

find the roots by factoring

which leads to -48

k/3 + 16

To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.

                   k/3 + 16 × 3/3

Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.

                          k + 16 × 3/3

We perform the multiplications in k+16×3.

                                         k + 48/3

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The perpendicular height of the given oblique prism is 6 units. The answer is not one of the options given, but it is closest to option :

(d) 8 units

We can use the formula for the volume of an oblique prism, which is:

V = Bh, where B is the area of the base and h is the perpendicular height.

We are given that the volume is 144 cubic units and the area of the base is 24 square units. Substituting these values into the formula, we get:

144 = 24h

Simplifying, we can divide both sides by 24:

h = 6

Therefore, the perpendicular height of the prism is 6 units. The answer is not one of the options given, but it is closest to option d, which is 8 units.

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Answer:

270°

Step-by-step explanation:

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

Using the frequency distribution, a) The total number of observations is 35. b) The width of each class is 9. c) The midpoint of the second class is 20.5. d) The modal classes are class 36-45 and class 26-35. e) The class limits of the next class would be 66-75.

a) To determine the total number of observations, we need to sum up the frequencies of all the classes. In this case, the total number of observations is:

4 + 8 + 8 + 9 + 3 + 3 = 35

Therefore, there are a total of 35 observations.

b) The width of each class can be calculated by taking the difference between the upper and lower class limits. For example, the width of the first class (6-15) is 15-6 = 9.

Similarly, the width of the other classes can be calculated as follows:

Class 6-15    : width = 15-6   = 9

Class 16-25  : width = 25-16 = 9

Class 26-35 : width = 35-26 = 9

Class 36-45 : width = 45-36 = 9

Class 46-55 : width = 55-46 = 9

Class 56-65 : width = 65-56 = 9

Therefore, the width of each class is 9.

c) The midpoint of a class can be calculated by taking the average of the upper and lower class limits. For example, the midpoint of the second class (16-25) can be calculated as:

Midpoint = (16+25)/2 = 20.5

Therefore, the midpoint of the second class is 20.5.

d) The modal class is the class with the highest frequency. In this case, we can see that two classes have the same highest frequency of 9: class 36-45 and class 26-35. Therefore, both of these classes are modal classes.

e) To determine the class limits of the next class if an additional class were to be added, we need to consider the current width of the classes, which is 9.

Therefore, if we want to add a class after the last class (56-65), the lower limit of the next class would be 66, and the upper limit would be 75. Therefore, the class limits of the next class would be 66-75.

In conclusion, frequency distribution is a useful tool to organize and summarize data by grouping them into classes.

It provides information on the total number of observations, width of each class, midpoint of a class, modal class, and can even help in determining the class limits of an additional class.

Understanding frequency distributions can help in making decisions, analyzing trends, and drawing conclusions in various fields such as business, economics, psychology, and more.

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The measure of the angle opposite the longest side is approximately 56.32 degrees.The measure of the angle opposite the longest side of a triangle can be found using the Law of Cosines.

In this case, the sides of the triangle are given as 13 ft, 15 ft, and 11 ft. To find the measure of the angle opposite the longest side, we can apply the Law of Cosines to calculate the cosine of that angle. Then, we can use the inverse cosine function to find the actual measure of the angle.

Using the Law of Cosines, the formula is given as:

\(c^2 = a^2 + b^2 - 2ab * cos(C)\)

Where c is the longest side, a and b are the other two sides, and C is the angle opposite side c.

Substituting the given values, we have:

\(13^2 = 15^2 + 11^2 - 2 * 15 * 11 * cos(C)\)

169 = 225 + 121 - 330 * cos(C)

-177 = -330 * cos(C)

cos(C) = -177 / -330

cos(C) ≈ 0.5364

Using the inverse cosine function, we find:

C ≈ arccos(0.5364) ≈ 56.32 degrees

Therefore, the measure of the angle opposite the longest side is approximately 56.32 degrees.

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Answer:

Step-by-step explanation:

The slopes of both those lines are the same so there is no solution. Use slope triangles to find out the slope. They are both 1/4.

A. No solution

y = 1/4x+5

x - 4y = 4

You can simplify the second equation into y = 1/4x - 1

Since these equations both have the same slope, they are parallel. When two lines are parallel, they have no solutions.

Answer:

I'm not quite sure how to point to which graph exactly, but I will tell you that it is the one that principal increases by one for six months, and interest decreases. It has "Month, Principal, Interest, and Total" written across the top in bold. Down the left-hand side, it has numbers 1-6. On the bottom, the first total is $363, and the second is $2076.

Step-by-step explanation:

There is very limited math involved in this question. The first step is to find a graph where each month, the principal number increases by one dollar and the interest decreases by one dollar. This should go on for six months. We can now eliminate two graphs. For a third, you must remember that the interest starts in the sixty, and the principal payment is in the two hundred eighties. By now, we have our graph. The final step to double-check this is to add up the total interest and principal (which should be on the side). All totals should be $346 as we're basically just trading one number for another (-1+1). You should also go to the bottom and fill in the blank in the principal column. In this box, you should put the total of all principals together.

Hope this helps!

The area of the region enclosed by one loop of the curve r = sin (2θ) is given by 1 square unit.

Given the polar equation is,

r = sin (2θ)

The graph of the given polar equation is given by,

when r = 0 then, sin (2θ) = 0

2θ = 0, π, 2π, 3π, .....

θ = 0, π/2, 2π/2, 3π/2, ..... = 0, π/2, π, 3π/2, ....

So the loop is created for each 0 < θ < π/2.

So the area of the one loop using integration is given by

= \(\int_0^{\frac{\pi}{2}}\) r dθ

= \(\int_0^{\frac{\pi}{2}}\)sin 2θ dθ

= [- cos 2θ/2] from 0 to π/2

= (1/2) [- cos (2 (π/2)) + cos (2*0)]

= (1/2) [- cos π + cos 0]

= (1/2) [- (-1) + 1]

= 1 square units.

Hence the required area is 1 square units.

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Answer:

y = 9

Step-by-step explanation:

3y − 3 = 2y + 6

3y - 2y = 6 + 3

y = 9

I hope this is detailed enough for you :)

Answer:

Both of them are correct.

The perimeter is found by adding up all four sides. If you notice, one of them is width and one of them is length. A rectangle has four sides, two width and two length.

l= length and w=width so P=2l+2w.

But, we can combine them by factorizing 2l+2w.

Lets see what we can pull out. We can only pull out 2.

2(l+w)=2l+2w.

2(l+w)=P

Both of them are correct.

Hope this helps plz hit the crown :D

Answer:

C

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

A pie chart is commonly used to compare relative parts of a whole. It is a circular chart that is divided into sectors, where each sector represents a proportionate part of the whole.

The size of each sector is proportional to the value it represents, and the whole circle represents the total value. Pie charts are frequently used in business, finance, and statistics to show the relative sizes of different categories or data points. They are easy to understand and can quickly convey complex information in a simple visual format. However, it's important to note that pie charts are not always the most effective way to display data and should be used appropriately depending on the type of data being presented.

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Answer:

It is 512.85

Step-by-step explanation:

A = \(\frac{a+b}{2}\)h = \(\frac{21 + 5.3}{2}\).39 = 512.85

It is 512.85

21*5.3*39=512.85

Answer: it cost 14 dollars

Step-by-step explanation:

a) Using the Avrami equation with n = 1.2 and 90% completion in 180 seconds, the parameter k is found to be approximately 0.00397. b) The rate of transformation, r, is approximately 0.0367 per second.


a) The Avrami equation is given by the equation t = k * (1 – exp(-r^n)), where t is the transformation time, k is a parameter, r is the rate of transformation, and n is a constant (in this case, n = 1.2). Given t = 180 seconds and the transformation is 90% complete, we can rearrange the equation to solve for k: k = t / (1 – exp(-r^n)). By substituting the values, we find k ≈ 0.00397.
b) To determine the rate of transformation, we can rearrange the Avrami equation and solve for r: r = (-ln(1 – (t / k)))^(1/n). Plugging in the values t = 180 seconds and k ≈ 0.00397, and n = 1.2, we can calculate r ≈ 0.0367 per second. This represents the rate at which the transformation progresses per unit time.

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Answer:

16$ liam you can get a shout at

The rate at which Laura and Brent paddled the canoe in still water is (7/9, 2/3).

Speed is a measure of how quickly an object moves or the rate at which it covers a certain distance in a given amount of time. It is a scalar quantity, meaning it has magnitude but no specific direction unless combined with a vector quantity like velocity.

Speed is a fundamental concept in physics and plays a crucial role in understanding motion, transportation, sports, and various other areas. It helps describe how fast objects move and allows for comparisons of different velocities or rates of motion.

Let the speed of the canoe be x in still water and the speed of the current be y.

When going upstream, the speed of the canoe is x - y. When going downstream, the speed of the canoe is x + y.

Distance = Speed × Time

According to the question,

6 = 4(x - y) 6 = 3(x + y)

Simplifying these equations, we get:

4x - 4y = 3x + 3y x = 7y/6

Multiplying by 2:

12 = 8(x - y) 12 = 6(x + y)

Simplifying these equations, we get:

8x - 8y = 6x + 6y 2x = 7y x = 7y/2

We can equate the two expressions for x to get:

7y/6 = 7y/2 1/6 = 1/2 - y/2 y/2 = 1/3 y = 2/3

Substituting this value of y into x = 7y/6, we get:

x = 7(2/3)/6 = 7/9

Therefore, the rate at which Laura and Brent paddled the canoe in still water is (7/9, 2/3).

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Answer:

Side b = 24

Step-by-step explanation:

Refer to the picture below

Answer:

27÷ x=?

Step-by-step explanation:

if yuu want to share 27 cookies equally you have to kno the number of members in that case that number is "x" nd yuu have to divide

Interval notation is a mathematical notation used to represent intervals or sets of numbers. It is commonly used to describe the domain and range of a function. The interval notation consists of using brackets or parentheses to indicate whether the endpoints are included or excluded, and using commas or union symbols to separate different intervals within a set.

In interval notation, a closed interval is represented by using square brackets [ ], indicating that the endpoints are included. For example, [a, b] represents the interval that includes all numbers from a to b, including both endpoints.

An open interval is represented by using parentheses ( ), indicating that the endpoints are excluded. For example, (a, b) represents the interval that includes all numbers between a and b, excluding both endpoints.

A half-open or half-closed interval includes one endpoint but not the other, and is represented by using one bracket and one parenthesis. For example, [a, b) represents the interval that includes all numbers from a to b, including a but excluding b.

To describe a set of intervals or a range of a function, we can use union symbols (∪) to combine the intervals. For example, (a, b) ∪ [c, d] represents the set that includes all numbers between a and b, excluding both endpoints, as well as all numbers from c to d, including both endpoints.

By using interval notation, we can concisely and precisely represent the domain and range of a function or describe sets of numbers in a clear and compact manner.

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Interval notation is a mathematical notation used to represent intervals or sets of numbers. It is commonly used to describe the domain and range of a function. The interval notation consists of using brackets or parentheses to indicate whether the endpoints are included or excluded, and using commas or union symbols to separate different intervals within a set.

In interval notation, a closed interval is represented by using square brackets [ ], indicating that the endpoints are included. For example, [a, b] represents the interval that includes all numbers from a to b, including both endpoints.

An open interval is represented by using parentheses ( ), indicating that the endpoints are excluded. For example, (a, b) represents the interval that includes all numbers between a and b, excluding both endpoints.

A half-open or half-closed interval includes one endpoint but not the other, and is represented by using one bracket and one parenthesis. For example, [a, b) represents the interval that includes all numbers from a to b, including a but excluding b.

To describe a set of intervals or a range of a function, we can use union symbols (∪) to combine the intervals. For example, (a, b) ∪ [c, d] represents the set that includes all numbers between a and b, excluding both endpoints, as well as all numbers from c to d, including both endpoints.

By using interval notation, we can concisely and precisely represent the domain and range of a function or describe sets of numbers in a clear and compact manner.

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Answer:

50 cards

Step-by-step explanation:

Alice = 14 cards

Jason = 14 x 2 or 28

Tom = 14 - 6 or 8

Answer:

A: 97/30x + 23

Answer:

17/15 or 1 2/15

Step-by-step explanation:

Answer:

\(1 \frac{2}{15}\)

Answer:

m=6

Step-by-step explanation:

0.85m+7.5=12.6

0.85m=12.6-7.5

0.85m=5.1

m=6

Hope this helps!

\( \rm0.85m + 7.5 = 12.6\)

\( \rm0.85m= 12.6 - 7.5\)

\( \rm0.85m= 5.1\)

\( \rm \: m= 6\)

Valve guides can be measured for roundness and diameter using a micrometer or a bore gauge. Both of these tools are commonly used in the automotive industry to measure the dimensions of engine parts such as valve guides.

A micrometer is a precision measuring tool that uses a calibrated screw to measure the diameter of an object with high accuracy. It can be used to measure the diameter of the valve guide at different points along its length to check for roundness. A bore gauge, also known as an inside micrometer, is a specialized tool used to measure the inside diameter of a cylinder, such as the bore of an engine block or the valve guide. It consists of a probe that is inserted into the cylinder and expands to take a measurement. A bore gauge is particularly useful for measuring the internal dimensions of complex shapes like valve guides, which can have irregular or non-circular profiles. Both micrometers and bore gauges come in various sizes and types, and the specific tool used will depend on the size and shape of the valve guide being measured.

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Answer:

\(P=24\: m\)

\(A=41.52 \m^{2}\)

Step-by-step explanation:

El perímetro de un hexágono se calcula de la siguiente manera:

\(P=6*l\)

l es el lado del hexágono l = 4 m

Entonces P es:

\(P=6*4=24\: m\)

El área del hexágono puede calcularse de la siguiente manera:

\(A=\frac{P*Ap}{2}\)

P es el perímetro = 24 m

Ap es la apotema = 3.46 m

El Area sera:

\(A=\frac{24*3.46}{2}\)

\(A=41.52 \m^{2}\)

Espero te haya sido de ayuda!

Answer:

Below

Step-by-step explanation:

Standard charge = $ 10

  plus hourly charge   4 m    where 'm = hours

10 + 4m    needs to be at LEAST $ 50

10 + 4m ≥ 50      which can be re=arranged   Subtract 10 from both sides

      4m ≥ 40        now you can divide both sides by 4

       m ≥ 10   hours

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

Answer:

\(27a^3-54a^2b+36ab^2-8b^3\)

Step-by-step explanation:

To expand the expression (3a - 2b)³, we can use the Perfect Cube Formula.

\(\boxed{\begin{minipage}{6 cm}\underline{Perfect Cube Formula}\\\\$(x-y)^3=x^3-3x^2y+3xy^2-y^3$\\\end{minipage}}\)

Let:

Substitute the values into the formula, and use the exponent rule

\(\boxed{(xy)^n=x^n \cdot y^n}\) :

Therefore:

\(\begin{aligned}(3a-2b)^3&=(3a)^3-3(3a)^2(2b)+3(3a)(2b)^2-(2b)^3\\&=3^3 \cdot a^3-3 \cdot 3^2 \cdot a^2 \cdot 2b+3 \cdot 3a \cdot 2^2\cdot b^2-2^3\cdot b^3\\&=27a^3-3 \cdot 9 \cdot a^2 \cdot 2b+9a \cdot 4b^2-8b^3\\&=27a^3-54a^2b+36ab^2-8b^3\end{aligned}\)

So the expression (3a - 2b)³ expanded is 27a³ - 54a²b + 36ab² - 8b³.