An election was held between two persons to select a representative to a certain
institution. All the voters who were registered cast their votes. The winner
received 7/12 of the votes and
won by a majority of 120 votes.

(i) What fraction of the total votes did the person who lost receive?
(ii) How many registered voters were there?
(iii) Find the number of votes the winner received.​

By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

YV and XW are the bases and GF is the midsegment. So:

And solve for YV:

Answer: b. 28

R is the modulation index of q and p as a result.

For a scientist, a proof serves to persuade or justify that a particular proposition is true, in accordance with Bleiler-Baxter & Pair [22]. Yet it also aids in better understanding the outcome and associated ideas. Because of this, a proof can also serve as an explanation.

Three positive real numbers, p, q, and r, where p is the arithmetic average of r and p and q is the arithmetic average of q and r, shall be called the p-q-r system.

We are aware of what the definition of the mathematical mean between two numbers is:

p = (q + r) / 2

The midpoint of two digits is similarly described as:

q = √pr

That r is indeed the mean of q and p must now be demonstrated. The definition of the harmonized mean of two integers is:

1/r = (1/2) × (1/p + 1/q)

In the equation above, if we substitute the p values and q, we get:

1/r = (1/2) × (1/p + 1/√pr)

By condensing the right side, we obtain:

1/r = (1/2p) × (√pr) + 1)

When we multiply all side by r, we obtain:

1 = (r/2p) × (√pr) + 1) × r

By condensing the right side, we obtain:

1 = (r² + r×√pr) / (2p)

When we multiply both halves by 2p, we obtain:

2p = r² + r×√pr

By condensing the right side, we obtain:

2p = r(r + √pr)

By multiplying both halves by r, we obtain:

2p/r = r + √pr

√pr is subtracted from both sides to yield:

2p/r - √pr = r

When we multiply both halves by r, we obtain:

r(2p - √p × r) = r²

By multiplying both halves by r, we obtain:

1/r = (2p - √pr)/r²

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Answer:

Step-by-step explanation:

uh all i can tell you is good luck

Answer:

The probability of rolling a six on this cube is A. 1/6

Step-by-step explanation:

Just... Think about it. The cube has six sides (the total, or denominator). There is only one six (the numerator). So, the answer is 1/6.

Have a wonderful day/night! <3

Answer:

₹1015.98

Step-by-step explanation:

Given parameters:

 Selling price of article =  ₹1239

GST = 18%

Unknown:

Price of the article before GST = ?

Solution:

To find the price of the article before GST, we simply take away the percentage cost of the GST;

   GST = \(\frac{18}{100}\) x  ₹1239 =  ₹223.02

Now, cost before including GST;

    =  ₹1239 -  ₹223.02

   =  ₹1015.98

The answer is D

Hope this helped

Answer:

1 theater room holds 115 people, it says that each showing was filled so that means that there were 115 for every 1 showing. There were 16 showings, so you multiply 115 x 16 which equals to 1,840 people.

The world population is predicted to reach 10 billion in the year 2082.

Growth rate is a measure of how quickly a population or quantity is increasing over time. In the context of population growth, the growth rate typically refers to the rate at which a population is increasing in size. It is usually expressed as a percentage or a decimal and is calculated by dividing the change in population size by the initial population size, and then multiplying by 100 (or 1 if using decimals). For example, if a population of 100 increases to 110 in one year, the growth rate would be 10% or 0.1. Growth rate can be positive, negative, or zero, depending on whether the population is increasing, decreasing, or remaining stable over time.

Using an online logistic regression calculator, we can obtain the following equation:

Population = 6.79 /

1) The logistic regression model predicts a growth rate of -3.1% per year, which is the coefficient on the Year variable in the equation.

2) The rate of growth is predicted to decrease when the population reaches the carrying capacity, which occurs when the denominator of the equation\((1 + 106.2 * e^(-0.031 * Year))\) becomes very large and approaches infinity. This occurs at around year 2075.

3) To find the year when the world population is predicted to reach 10 billion, we can set the Population equation equal to 10 and solve for Year:

10 = \(6.79 / (1 + 106.2 * e^(-0.031 * Year))\)

\(1 + 106.2 * e^(-0.031 * Year) = 0.679\)

\(e^(-0.031 * Year) = -0.319\)

Year = (ln(-0.319) / -0.031) ≈ 2082

So the world population is predicted to reach 10 billion in the year 2082.

4) The carrying capacity is the maximum population size that the environment can sustain. In this logistic regression model, the carrying capacity is approximately 6.79 billion people, which is the limit as the denominator of the equation approaches infinity.

5) It's difficult to say how well the model will predict future population growth, as it is based on a limited amount of historical data and assumes that population growth will continue to follow a logistic curve. However, the model does seem to fit the available data reasonably well, and it is a commonly used model for predicting population growth. It's important to note that there are many factors that can influence population growth, and the model may not accurately capture all of them.

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The differentiation of the function z(y) = a y^6 bey with respect to y is given by z'(y) = 6a y^7 bey.

To differentiate z(y) with respect to y, we can apply the power rule and the chain rule. The power rule states that when differentiating a function of the form x^n, the derivative is nx^(n-1). In this case, we have y^6, so the derivative of y^6 with respect to y is 6y^(6-1) = 6y^5.

Next, we have the term bey. The derivative of e^x with respect to x is simply e^x. However, since we are differentiating with respect to y and not x, we need to apply the chain rule. The chain rule states that when we differentiate a composite function, we multiply the derivative of the outer function by the derivative of the inner function. In this case, the outer function is e^x and the inner function is by. So, the derivative of bey with respect to y is (d/dy)(e^by) = e^by (d/dy)(by) = e^by * b = bey.

Combining the results from the power rule and the chain rule, we get z'(y) = 6a y^7 bey, which is the derivative of the function z(y) = a y^6 bey with respect to y.

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Answer:

- \(3x^{2}\)  - 40x - 100

Step-by-step explanation:

f (x ) . g ( x )

( 3x - 10 ) ( 10 - x )

30x - \(3x^{2}\)  - 100 + 10x

Simplify the like terms.

40x - 100 -  \(3x^{2}\)  

= - \(3x^{2}\)  - 40x - 100

Answer:

your answer is D                                                                        

Answer:

$31.95 Before tip.

Step-by-step explanation:

I believe you should just add 17.75+80%=31.95

9514 1404 393

Answer:

  12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

  0.25q +0.10(16 -q) = 2.20

  0.15q +1.60 = 2.20 . . . . . . . simplify

  0.15q = 0.60 . . . . . . . . subtract 1.60

  q = 4 . . . . . . . . . . . divide by 0.15

  16-q = 12

There are 12 dimes in the collection.

Answer:

No.

Step-by-step explanation:

If she is riding 15 miles per hour (the rate), and she has six hours (the time), then in order to find out the distance, we multiply the rate*the time.

15*6 = 90

90<96

So, no, she will not make it.

Answer:

43.8

When you round look at the number after the one your rounding up to. If its greater than 5 round up. If its lower than 5 keep it the same number

Answer:

\(\approx 68\%\)

Step-by-step explanation:

For normal distributions only, all data falls within approximately 68% of one standard deviation, 95% of two standard deviations, and close to 100% of three standard deviations. The standard deviation is far too small to represent two or three standard deviations, hence \(\implies \boxed{68\%}\).

*Important: This problem would be unsolvable if the question did not say her cuts were normally distributed, because the information above is only applicable to normal distributions.

Answer:

Step-by-step explanation:

Given:

The squares between 4.9 and 5.1 represent:

Relevant z- scores are:

From the z-score table we get:

The data between these points is:

Answer:

x = 2

Step-by-step explanation:

2ln4x = 2ln8

ln4x = ln8

4x = 8

x = 2

By CER methοd it can be cοncluded that ABCD is a parallelοgram.

CER stands fοr "Cοngruent, Equal, and Midpοint Rule". This methοd is based οn the prοperties οf parallelοgrams, where οppοsite sides are parallel and cοngruent, and οppοsite angles are equal. By using the CER methοd, we can prοve that a quadrilateral is a parallelοgram if it satisfies the cοnditiοns οf having οppοsite sides cοngruent, οppοsite angles equal, and diagοnals bisecting each οther at their midpοint.

Tο shοw that ABCD is a parallelοgram, we need tο demοnstrate that bοth pairs οf οppοsite sides are parallel.

Let's begin by finding the slοpe οf each side using the fοrmula:

slοpe = (change in y) / (change in x)

Slοpe οf AB = (3 - (-1)) / (1 - 2) = 4/-1 = -4

Slοpe οf BC = (5 - 3) / (6 - 1) = 2/5

Slοpe οf CD = (1 - 5) / (7 - 6) = -4

Slοpe οf DA = (-1 - 1) / (2 - 7) = -2/5

Nοw, we can use the fact that twο lines are parallel if and οnly if their slοpes are equal. Thus, we need tο check whether AB is parallel tο CD and whether BC is parallel tο DA.

AB is parallel tο CD if their slοpes are equal. Since the slοpe οf AB is -4 and the slοpe οf CD is alsο -4, we can cοnclude that AB is parallel tο CD.

BC is parallel tο DA if their slοpes are equal. Since the slοpe οf BC is 2/5 and the slοpe οf DA is alsο 2/5, we can cοnclude that BC is parallel tο DA.

Therefοre, since bοth pairs οf οppοsite sides are parallel, we can cοnclude that ABCD is a parallelοgram.

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Answer:

the answer is A. 72 degrees

Step-by-step explanation:

subtract 108-180= 72

98% sure that's corresponding angles.

Answer:

corresponding angles

Step-by-step explanation:

There are 12,620,256 different combinations of 31 balloons that can be chosen from the store's inventory of 8 colors, each with at least 31 balloons.

We can use the method of example 9.6.2, which involves using the combination formula. We know that there are 8 colors of balloons and at least 31 of each color. We have 8 options for the first balloon, 8 options for the second balloon, and so on, for a total of 8 options for each of the 31 balloons.

Using the combination formula, we can calculate the number of different combinations of 31 balloons that can be chosen as follows:

\(nCr = n! / (r! \times (n-r)!)\)

where n is the total number of options (in this case, 8), and r is the number of items we are choosing (in this case, 31).

Plugging in these values, we get:

\(8C31 = 8! / (31! \times (8-31)!)\)

\(= 8! / (31! \times (-23)!)\)

= 87654321 / (313029...9(-23)(-24)(-25)...(-52))

= 12620256

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Answer:

4. 1 units

Step-by-step explanation:

A diameter of a circle is equal to 2 of its radiuses. Just simply divide the diameter by 2.

Answer:

its none, because none of them split apart

Step-by-step explanation:

Answer:

Step-by-step explanation: This is the all-math caculator that will help you and I can relate hehe I am not the greatest Person at math so below is how you would solve it! "Good Luck dear"!!

Answer:

3/2

Step-by-step explanation:

3^(-4+2-(-3))*2^(3-4)=3^1*2^-1=3/2

Answer:

8.5w + 1.5

Step-by-step explanation:

I hope this helps!

Answer:5-(17w+3)

—————————-

10

Step-by-step explanation: 1): "8.8" was replaced by "(88/10)". 5 more similar replacement(s)

STEP

1

:

44

Simplify ——

5

Equation at the end of step

1

:

35 42 15 96 44

((((——•w)+(——•w))+——)+(——•w))-(——•w)

10 10 10 10 5

STEP

2

:

48

Simplify ——

5

Equation at the end of step

2

:

35 42 15 48 44w

((((——•w)+(——•w))+——)+(——•w))-———

10 10 10 5 5

STEP

3

:

3

Simplify —

2

Answer:

73.6

Step-by-step explanation:

Vertical angulation refers to the angle at which the x-ray beam is directed when taking dental radiographs. It is an important factor in obtaining clear and accurate images.

In both the paralleling and bisecting techniques, the group of answer choices remains the same. However, the vertical angulation is generally greater for images taken with the paralleling technique compared to the bisecting technique.

This is because the paralleling technique requires the x-ray beam to be directed more vertically in order to capture the entire tooth structure on the film. On the other hand, the bisecting technique involves angling the x-ray beam downward to intersect the imaginary bisector between the long axis of the tooth and the film.

Therefore, the vertical angulation differs depending on which technique is being used.

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D.4x + 6y - 14

This is the answer

Answer:

-9 7/15

Step-by-step explanation:

After answering the provided question, we can conclude that The term function "5th hyperbole" is not a mathematical term.

In mathematics, a function appears to be a connection between two numerical sets in which each individual of the first set (widely recognized as the domain) matches a particular member of the second set (called the range). In other words, a function takes input by one set and provides output from another. The variable x has frequently been used to represent inputs, and the variable y has been used to represent outputs. A formula or a graph can be used to represent a function. For example, the formula y = 2x + 1 represents a linear model whereby each x-value yields a unique value of y.

Here are a few of the reasons:

In mathematics, the term "hypotenuse derivative" has no well-defined meaning. Derivatives are commonly used to describe a function's rate of change in relation to one of its variables, such as the slope of a tangent line to a curve. The hypotenuse is the longest side of a right triangle and does not have an inherent rate of change.

The term "5th hyperbole" is not a mathematical term.

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