A spinner is divided into 10 equally spaced sections and labeled A-J. What is the P(vowel)​

The new value after the original value is increased by 30% is 1.3 times the original value.

Percentage is used to express a fraction number or decimal in fraction of hundred. It is given by:

Percentage = [(new value - original value) / original value] * 100%

Let x represent the new value and y represent the original value, hence:

30% = [(x - y)/y] * 100%

0.3 = (x - y)/y

x - y = 0.3y

x = 1.3y

The new value after the original value is increased by 30% is 1.3 times the original value.

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Answer:

sphere

Step-by-step explanation:

Human heads are close to circles and sometimes are circles

Sphere is the best model for the head of a human being.

A human head definitely doesn't represent a Cone neither a Pyramid.

Now a cylinder is a solid which is circular at its edges and straight in its length which clearly does not model the human head. Now the Sphere, it does closely represent the outside figure of a human head.  

Thus Sphere is the best model for a human head.

Therefore option D, sphere is the correct answer.

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The radius of the cone's base in the unit is 9*7x².

Given:

To find:

Solution:

As we know, the volume of the cone formula is

V = πr²h/3

So, lets us compare the above formula with the given expression;

πr²h/3 = 3*7x³

Here, h is represented as x, we get;

πr²x/3 = 3*7x³

πr²/3 = 3*7x²

r²= 9*7x²

Hence, the radius of the cone's base, in units, is 9*7x².

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The initial number of dice rolled = 1000

What is exponential modeling?

Based on an equation like where Y = deterioration, T = time, and A and B = parameters to be calculated by the regression approach based on historical data, the exponential model represents the degradation failure process.

Here,

Linear models are used when a phenomenon is changing at a constant rate whereas exponential models are used when a phenomenon is changing in a way that is quick at first, then more slowly, or slow at first and then more quickly. This is the defining characteristic of the exponential model.

(a)

dice(n) = 1000 × (−0.138629436ln)........... (1)

The initial number of dice rolled when n=0

Putting n=0 in (1),

dice(0) = 1000e(0) = 1000

Hence, the initial number of dice rolled = 1000

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Based on the given graph, we can create a matrix to represent the graph as follows:

\(\left[\begin{array}{ccccc}A&B&C&D&F\\0&1&0&0&1\\1&0&1&1&0\\0&1&0&0&1\\0&1&0&0&0\\1&0&1&0&0\end{array}\right]\)

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are commonly used in mathematics, physics, engineering, computer science, and many other fields to represent and manipulate data, equations, and systems of equations. A matrix can be represented using parentheses or brackets, with the entries separated by commas or spaces.

Here,

The rows and columns of the matrix represent the vertices of the graph, and the entries in the matrix represent the edges. If there is an edge between two vertices, the corresponding entry in the matrix is 1, otherwise it is 0. For example, there is an edge from vertex A to vertex B, so the entry in row A and column B is 1. Similarly, there is an edge from vertex B to vertex A, so the entry in row B and column A is also 1.

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a) When Lily's age is 20, and Raphael's age is divided by 3 then the expression of Lily's age in terms of h is h < 10.

b) Ethan's age is half of Raphael's age therefore, Ethan's age is half Raphael's age.

a) If Raphael is twice as old as his sister Lily, we can represent their ages as 2h and h, respectively, where h is Lily's age. The sum of their ages is less than 30, so we can write the equation:

2h + h < 30

Combining like terms, we get:

3h < 30

Dividing both sides by 3, we get:

h < 10

This is an expression of Lily's age in terms of h.

b) If Ethan's age is 16, and Raphael's age is twice Ethan's age, we can represent Raphael's age as 2 × 16 = 32.

Ethan's age is 16, which is half of Raphael's age of 32. Therefore, Ethan's age is half of Raphael's age.

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The question is -

Raphael is twice as old as his sister. The sum of their ages is less than 30.

a) Lily's age is 20, and Raphael's age is divided by 3. Write an expression in terms of h for Lily's age.

b) An expression for Ethan's age 16. Write a sentence to describe how Ethan's age compares with Raphael's age.

The 3rd term of the geometric sequence is 6.

In mathematics, an equation is a statement that two expressions are equal. It usually contains one or more variables, which are unknown quantities that can take on different values. Equations are used to represent relationships between quantities, and they can be used to solve problems by finding the values of the variables that make the equation true.

An equation typically consists of two sides, separated by an equal sign. Each side can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots. For example, the equation:

2x + 3 = 7

contains the variable x, as well as constants 2, 3, and 7, and mathematical operations of addition and multiplication.

Equations can be solved by applying algebraic techniques to isolate the variable on one side of the equation. For example, to solve the above equation for x, we can first subtract 3 from both sides to get:

2x = 4

Then, we can divide both sides by 2 to get

x = 2

This is the solution to the equation, which means that x must be equal to 2 in order to make the equation true.

Equations are used in many areas of mathematics, including algebra, calculus, geometry, and trigonometry. They are also used in physics, engineering, and other sciences to model physical phenomena and solve problems related to them.

Let's call the first term of the geometric sequence "a" and the common ratio "r".

The formula for the nth term of a geometric sequence is:

an = a *\(r^(n-1)\)

We are given that the 2nd term is 2, so we know that:

a * r = 2 --(1)

We are also given that the 5th term is 432, so we know that:

a * \(r^4\) = 432 --(2)

Now we need to solve for "a" and "r" in order to find the 3rd term.

First, let's solve equation (1) for "a":

a = 2 / r

Now we can substitute this expression for "a" into equation (2):

(2/r) *\(r^4\)= 432

Simplifying, we get:

\(r^3\)= 54

Taking the cube root of both sides, we get:

r = 3

Now we can substitute this value for "r" back into equation (1) to solve for "a":

a * 3 = 2

a = 2/3

So the first term of the sequence is 2/3 and the common ratio is 3.

Now we can use the formula for the 3rd term of a geometric sequence:

a3 = a * \(r^(3-1)\)

a3 = (2/3) *\(3^2\)

a3 = (2/3) * 9

a3 = 6

Therefore, the 3rd term of the geometric sequence is 6.

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Answer:

Answer:

x=3

Step-by-step explanation:

7−3x=−x+1

Step 1: Simplify both sides of the equation.

7−3x=−x+1

7+−3x=−x+1

−3x+7=−x+1

Step 2: Add x to both sides.

−3x+7+x=−x+1+x

−2x+7=1

Step 3: Subtract 7 from both sides.

−2x+7−7=1−7

−2x=−6

Step 4: Divide both sides by -2.

−2x

−2

=

−6

−2

x=3

Answer:

\(1\frac{2}{3}\)

5x\(\frac{1}{3}\)= \(\frac{5}{3}\)= \(1\frac{2}{3}\)

Step-by-step explanation:

the width is 1/3, so 3 squares make up one whole square and 5-3=2.

So, the answer is  \(1\frac{2}{3}\). because there are 2 more 1/3 squares left

Answer:

Step-by-step explanation:

The equation is y=7x

x      y          Calculation

5     35         y=7x, y=7*5, y=35

6     42         y=7x, y=7*6, y=42

7      49       y=7x, y=7*7, y=49

8     56          y=7x, y=7*8, y=56

Answer:

\((-\infty,-4.6)\)

Step-by-step explanation:

So we have the inequality:

\(-4(x+4)>x+7\)

First, let's distribute the left:

\(-4x-16>x+7\)

Now, let's add 16 to both sides:

\(-4x>x+23\)

Subtract x from both sides:

\(-5x>23\)

Divide both sides by -5. Since we're dividing by a negative, flip the sign:

\(x<-4.6\)

This is saying all values less than -4.6.

In other words, in an interval, this would be from negative infinity all the way up to -4.6. Thus:

\((-\infty,-4.6)\)

We do not use brackets because we do not include -4.6 into our set.

And we're done!

Answer:

circumference of the circle=2πr

=2×3.14×17

=106.76cm

Matter has mass and occupies space (volume).

The mass of an object is a measure of the amount of matter it contains, while the volume is a measure of the amount of space it occupies. These properties are fundamental to our understanding of the physical world and play a central role in many scientific disciplines, including physics, chemistry, and materials science.

Proton is a subatomic particle with a positive charge.

A proton is a subatomic particle that is found in the nucleus of an atom and has a positive electric charge. Its symbol is "p" or "p+" and its charge is equal in magnitude to that of an electron but with a positive sign. The number of protons in an atom's nucleus determines its atomic number and its identity as a specific element.

Atomic number represents the number of protons.

The atomic number of an element represents the number of protons in the nucleus of an atom of that element. It is also the number of electrons that surround the nucleus in a neutral atom. The atomic number is a unique identifier for each element, and elements are arranged in the periodic table based on their atomic number.

Atom is the simplest form of matter or basic unit.

An atom is the basic unit of matter and is considered the simplest form of matter. It consists of a central nucleus made up of positively charged protons and electrically neutral neutrons, surrounded by negatively charged electrons that orbit the nucleus. The number of protons in the nucleus determines the atom's identity as a particular element, while the number of electrons determines its chemical behavior.

Mixtures are separated by physical means.

Mixtures are combinations of two or more substances that are physically combined but not chemically bonded. Since the substances in a mixture retain their individual properties and can be separated by physical means, mixtures are different from compounds, which are chemically bonded substances that cannot be separated by physical means.

Compounds consist of two or more elements.

Compounds are substances made up of two or more different elements that are chemically bonded together in a fixed ratio. In other words, the elements in a compound are combined in a specific way through chemical reactions to form a new substance with its own unique properties.

Metals will conduct electricity.

Metals are generally good conductors of electricity. This is due to the unique properties of the metallic bond, which is the bond that holds the metal atoms together in a solid.

Electron has a negative charge.

Electrons are negatively charged subatomic particles that are found in orbit around the nucleus of an atom. They have a relative charge of -1 and a mass that is approximately 1/1836th that of a proton. The number of electrons in an atom determines its chemical behavior and reactivity, as well as its electrical conductivity and other physical properties.

Neutron is an uncharged atomic particle.

A neutron is a subatomic particle that is found in the nucleus of an atom, alongside protons. Unlike protons, however, neutrons are electrically neutral, meaning they have no electrical charge. Neutrons have a mass that is slightly larger than that of protons but they do not contribute to the atomic number or the electrical charge of an atom. The stability of the nucleus of an atom is largely determined by the balance between the number of protons and neutrons present.

Nonmetals will not conduct electricity.

The reason for this is that nonmetals typically have high electronegativity, which means they have a strong attraction for electrons and tend to hold onto them tightly. This makes it difficult for electrical current to flow through nonmetallic materials, as the electrons are not free to move around and carry the current.

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Answer:

100 small rectangles

Step-by-step explanation:

Number of small rectangles = Area of large rectangle ÷ area of small rectangle

               \(= \frac{25*40}{10}\\\\= 25*4\\= 100\)

To determine if the new fertilizer is effective, the farmer can use hypothesis testing, specifically a one-sample t-test. This test compares the mean yield of the corn crop using the new fertilizer to the historical mean yield of the corn crop using the old fertilizer.

1. Formulate hypotheses: Set up a null hypothesis (H0) stating that the fertilizer has no effect on yield, and an alternative hypothesis (H1) stating that the fertilizer increases yield.

2. Collect data: The farmer should divide his field into two sections - one with the new fertilizer and one without. He should then measure the corn yield from each section.

3. Determine the test statistic: Calculate the mean yield for each section and find the difference between them.

4. Set a significance level: Choose an acceptable level of Type I error (commonly 5%, represented as α = 0.05).

5. Calculate p-value: Using the appropriate statistical test (e.g., t-test or ANOVA), determine the probability of observing the calculated test statistic or a more extreme value, assuming the null hypothesis is true.

6. Compare p-value to α: If the p-value is less than α, reject the null hypothesis in favor of the alternative hypothesis, indicating that the fertilizer was effective in increasing corn crop yield.

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━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Assuming you are asking what does x represent when you say "What does represent" the answer is a: the number of days it take the brothers to paint 13 pictures.

The first 2 sentences are useless and don't tell you anything (well they do but you don't need the information).

Both brothers can paint 13 pictures in x days.

So x means days, more specifically, the number of days it took for the brothers to paint 13 pictures.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

Problem

Solution

For this case the surface area is given by:

And solving we got:

Answer:

no it would be 60

Step-by-step explanation:

in the equation it would be 120/2

Roland made 16 sales this week, while Vickie made 8 more sales than Roland.

An equation is an expression that shows the relationship between two or more numbers and variables. Equations can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the number of sales Roland has.

Roland earns a base of $49 plus $15 per sale. HenceL

Total earning by Roland = 15x + 49

Vickie made 8 more sales than Roland. Vickie earns a base of $145 plus $6 per sale.

Total earning by Vickie = 6(x + 8) + 145 = 6x + 193

Roland and Vickie are salespeople who earned the same amount this week, Therefore:

15x + 49 = 6x + 193

9x = 144

x = 16

Roland made 16 sales this week.

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a)  The ratio that is 20 less than 4:5 is 8.88 : 11.1

To decrease 20 in the ratio 4:5, we first need to find the total number of parts in the ratio:

4 + 5 = 9

Calculate the value of each part:

20 / 9 = 2.22

4 parts: 4 x 2.22 = 8.88

5 parts: 5 x 2.22 = 11.1

Therefore, the ratio that is 20 less than 4:5 is 8.88:11.1.

b) The ratio in which 392 is divided in the ratio 3:4 is 168 : 224.

To divide 392 in the ratio 3:4, we first need to find the total number of parts in the ratio:

3 + 4 = 7

Calculate the value of each part:

392 / 7 = 56

Multiply 56 by each part in the ratio:

3 parts: 3 x 56 = 168

4 parts: 4 x 56 = 224

Therefore, the ratio in which 392 is divided in the ratio 3:4 is 168:224.

c) Ratio for the first ratio is 79.45 : 30.58

The ratio for the second ratio is 50.45 : 18.18

We can follow the same as above for each ratio:

5  + 2= 7 parts

100 / 7 = 14.29

5 x 14.29 = 71.45

2 x 14.29 = 28.58

The new ratio for the first ratio is 79.45:30.58

7 + 4  = 11 parts

100 / 11 = 9.09

Increase for the second ratio:

5 x 9.09 = 45.45

2 x 9.09 = 18.18

New ratio for the second ratio: 50.45:18.18

d) Ratio for the first ratio is 22.5 : 37.5

The ratio for the second ratio is 12 : 48

3 parts + 5 parts = 8 parts

60 / 8 = 7.5

Decrease for the first ratio:

3 x 7.5 = 22.5

5 x 7.5 = 37.5

The new ratio for the first ratio: is 22.5:37.5

1 + 4 = 5 parts

60 / 5 = 12

Decrease for the second ratio:

1 x 12 = 12

4 x 12 = 48

New ratio for the second ratio: 12:48

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Answer:

65

Step-by-step explanation:

A=hbb

2=13·10

2=65

Answer:

None of the options are correct

О E. 289.2 cm

Step-by-step explanation:

Volume of a cylinder = v = л r² h

л = 3.1416     (aprox)

r = radius

h = height

8177 = 3.1416 * 3² * h

8177 = 3.1416 * 9 * h

8177 = 28.2744 * h

8177/282744 = h

h = 289.2 cm

Answer:

Explanation:

Here, we want to rewrite the given expression

What we have to do is to start by opening up the bracket

To do this, we have to multiply the term on the left with each term inside the bracket

Then we collect the like terms and perform the necessary arithmetic operation

We have this as follows:

Answer:

68y-42

Step-by-step explanation:

7(9y+2y-6)-9y

Find the expression in simplest terms

Combine like terms

7(11y-6)-9y

Distribute

77y -42-9y

Combine like terms

68y-42

Answer:

3.62

Step-by-step explanation:

39.37-35.75=3.62

Answer:

5 3/8

Step-by-step explanation:

2 5/8+ 2 3/4= 5 3/8

2+2+ 5/8+6/8= 5 3/8

4+11/8= 5 3/8

5 3/8=5 3/8

Answer:

5 3/8

Step-by-step explanation:

Rewriting our equation with parts separated

=2+5/8+2+3/4

Solving the whole number parts

2+2=4

Solving the fraction parts

5/8+3/4=?

Find the LCD of 5/8 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 8

5/8+6/8=11/8

Simplifying the fraction part, 11/8,

11/8=1 3/8

Combining the whole and fraction parts

4+1+3/8=5 3/8

The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

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If A and B are independent, then the correct statements are P(A and B) = 0.12 and P(A or B) = 0.58.

Let's evaluate each statement:

P(B/A) = 0.4:

This statement is incorrect. If events A and B are independent, the occurrence of event A does not affect the probability of event B.

Therefore, P(B/A) would still be equal to the probability of B, which is 0.4 in this case.

P(A and B) = 0.12:

This statement is correct. The probability of the intersection of independent events A and B is calculated by multiplying their individual probabilities. In this case, P(A and B) = P(A) * P(B) = 0.3 * 0.4 = 0.12.

P(A/B) = 0.3:

This statement is incorrect. If events A and B are independent, the occurrence of event B does not affect the probability of event A. Therefore, P(A/B) would still be equal to the probability of A, which is 0.3 in this case.

P(A or B) = 0.58:

This statement is incorrect. To calculate the probability of the union of two events, we need to consider whether the events are mutually exclusive or not.

If events A and B are independent, but not mutually exclusive, we can calculate P(A or B) as P(A) + P(B) - P(A and B). In this case, P(A or B) = 0.3 + 0.4 - 0.12 = 0.58.

Therefore, the correct statements are:

The statements regarding P(B/A) = 0.4 and P(A/B) = 0.3 are incorrect in the context of independent events A and B.

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On solving the provided question, we can say that the random sampling is \(^5C_{2}\) = 4X5/ 2= 10

A simple random sample may be 25 employees chosen at random from a firm with 250 workers. Since there are 250 of her employees in total, and each one has an equal probability of being chosen, the sample in this instance is random. The sampling technique of random sampling, also known as probabilistic sampling, enables the randomization of sample selection. It is crucial to keep in mind that populations as a whole are not always accurately represented by sampling. Sampling error is the term used to describe all variance.

population size, \(N = 5\)

sample size, \(n = 2\\\)

\(^5C_{2}\) = 4X5/ 2

= 10

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