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A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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Answer:

\(3^{-9}\)or \(\frac{1}{3^{9} }\)

Step-by-step explanation:

3^3/3^12 = 3^3 * 3^(-12) = 3 ^(3-12) = 3^(-9) or 1/3^9

If the income of a person is Rs 18,000 per month , the exemption of the income is Rs 1,40,000 per year, If he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

Given:

Income of a person=Rs 18,000 per month

Exemption income per year=140,000

Income tax paid=11,400

First step is to the calculate the Income per year since the  income of a person is Rs 18,000 per month

Income per year= 18,000 ×12

Income per year=216,000

Second step is to calculate the taxable income

Taxable income=216,000-140,000

Taxable income=76,000

Third step is to calculate  the tax Percentage per annum

Tax percentage=11,400/76,000×100

Tax percentage=15%

Therefore If  he has paid Rs 11,400 as an income tax at the end of the year . The percent per annum of the tax paid is: 15%.

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The disadvantages of the mode are: For many sets of data there is no mode.

The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.

However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.

The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.

The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.

The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.

The correct option is: For many sets of data there is no mode.

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The Best Point Estimate For A Population Parameter Is the calculated Average Sample.

The above statement is True.

Point estimation uses sample data to estimate an unknown population parameter (for example, population mean). More formally, it is applying a point estimator to the data to obtain point estimates.

Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.

In statistics, a population parameter is a number that describes something about an entire group or population. It should not be confused with other types of math parameters that refer to values ​​that remain constant for a particular math function.

Average samples are computed for point hypothetical alternatives by averaging all stop times over an infinite number of hypothetical experiments. This can be computed for test-enhanced alternative hypotheses, or any other point from the parameter space.

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Answer:

Almost equals 28°

Step-by-step explanation:

cos(x)= 12/18

x= cos^-1 (12/18)

So it equals 48.1896°

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

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The point that is a solution for the given system of inequalities is the second option, the point is (1, 5)

We want to see which of the given points is a solution of the system of inequalites.

A point is a solution of the system if it is a solution of both of the inqeualities.

Here any point on the blue region will be a solution, then we can see that the point (1, 5) is in the blue region, so it is a solution.

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Answer: SOrry no espanypol

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

For this equation all we have to do is substitute. The equation we have is \(2(12)-5\) in this case the answer comes out to 19.

Some professors may want the answer written out as 19= 2m-5

The x-intercept represents:

"The number of hours the taxi was driven before running out of fuel"

In standard notation, the variable x is the independent variable in the horizontal axis, here we can see that in the horizontal axis we are measuring the time (in hours) that the taxi was driving.

Then the x-intercept (the time when y = 0) is the number of hours until the fuel is down to zero, then the correct option is B i guess, but it should be worded as:

"The number of hours the taxi was driven before running out of fuel"

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Answer:

8 1/2

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

981.496    ft^3

Step-by-step explanation:

Volume of triangular pyramid is

 1/3  base area * height

area of a equilateral triangle base  is

 sqrt (3)/4  s^2     where s = side length

so the volume is

1/3  ( sqrt(3) / 4 ) (20^2)    *   17      ft^3

= 981.496  ft^3

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

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The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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The rigid motion of the solid line figure is translated to the dotted line figure.

Translation describe a function that moves an object a certain distance.

In a translation, every point of the object must be moved in the same direction and for the same distance.

In translation, the object is not resized, rotated or reflected. The object usually remains the same but it moves a certain distance.

Therefore, the rigid motion maps the solid-line figure onto the dotted-line figure by translation

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a)

i) The mean number of refunds given in the summer is 21.

ii) The mean number of refunds given in the winter is 20.

b) The answer to part a) does NOT support the hypothesis.

To calculate   the mean number of refunds given in the summer and winter,we need to find the average of the  values for each season over the given years. Let's calculate  -

a) Mean number of refunds given in the summer  -

(20 + 15 + 10 + 15 + 32 + 34) / 6

= 126 / 6

 = 21

b) Mean number of refunds given in the winter   -

(24 + 10 + 15 + 18 + 26 + 27) / 6

= 120 / 6

= 20

The mean   number of refunds given in thesummer is 21, and the mean number of refunds given in the winter is 20.

b) Based on the calculated means, the answer to part a) does NOT support the hypothesis.

The mean number   of refunds given in the summer (21) is greater than the mean number of refunds given in thewinter (20), indicating that more refunds are   given in the summer than in the winter, contrary to the hypothesis.

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Answer: approximately 10.8 centimeters

Step-by-step explanation:

We have a square, where each side measures approx. 4.25 in

Now we know that 1in ≈ 2.54 cm

Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm

So the approximate measure of the sides in centimeters is:

4.25*(2.54)cm = 10.8 cm

So we have that each side measures approximately 10.8 centimeters

Answer:

For a sample size of n = 609.

Step-by-step explanation:

Central limit theorem for proportions:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

We have that p = 0.58.

We have to find n for which s = 0.02. So

\(s = \sqrt{\frac{p(1-p)}{n}}\)

\(0.02 = \sqrt{\frac{0.58*0.42}{n}}\)

\(0.02\sqrt{n} = \sqrt{0.58*0.42}\)

\(\sqrt{n} = \frac{\sqrt{0.58*0.42}}{0.02}\)

\((\sqrt{n})^{2} = (\frac{\sqrt{0.58*0.42}}{0.02})^{2}\)

\(n = 609\)

For a sample size of n = 609.

Answer:

⁶⁄₉ = ²⁄₃,     ⁹⁄₆ = ³⁄₂,     ⁹⁄₃ = ⁶⁄₂,     ²⁄₆ = ³⁄₉

Step-by-step explanation:

☀First we will do the extremes of the problem ²/₆

☀Now we will do the means  of the problem ³⁄₉

                 We now have

                       ²/₆ =³⁄₉, now we can solve, here are the possible proportions we can make:

⁶⁄₉ = ²⁄₃,     ⁹⁄₆ = ³⁄₂,     ⁹⁄₃ = ⁶⁄₂,     ²⁄₆ = ³⁄₉

Answer:

C

Step-by-step explanation:

|-13| = 13

Answer:

C

Step-by-step explanation:

A should be a negative

B should also be a negative

D should be a positive

soooooo yea :)

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer:

The area of the original piece of paper is 60cm

Answer:

the answer is 60

hope it helps :D

Step-by-step explanation:

The total number of possible points in the class according to the task content is; 341.1 points.

It follows from the task content that the total number of possible points in the class can be determined as follows;

Since the A grade was missed by 5 points, It follows that the points required for an A is; 5+ 302 = 307 points.

Hence, since 307 is 90% of A; then;

(90/100) × Total = 307

Total = 307/0.9

Total = 341.1

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Answer:

there are no like terms

Step-by-step explanation:

-x + 21 = -x + 21

Answer:

A polygon is a pentagon if and only if it has five sides."If this statement is true, then which of the follow… Get the ... The given statement is of the form

Step-by-step explanation:

hope it helps you

❤❤❤❤❤

Answer:

D.  If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon

Step-by-step explanation:

Given statements;

      A polygon is a pentagon if and only if it has five sides.

Therefore, this bi-conditional statement is premised on two "if"s,

    If it is a pentagon then we are dealing with a body with 5 sides.

   And if such body has five sides, it is a polygon called pentagon

The correct option is D

Choice A, B and C are logically flawed.

A.  If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.

The emboldened part we do not know.

B.  If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon

 The emboldened part is flawed.

C. If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.

We do not know if all pentagons have 5 sides.

The meaning of the y-intercept in this situation is ,

''For every additional mile the cab travels, the total fee increases by $12.00.''

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

From the table, we have the following parameters:

Points (x, y) = (2, 5) and (15.00, 19.50)

So, we would calculate the slope as follows:

Slope = (19.50 - 5)/(15.00 - 2)

Slope = 14.50/13

Slope = 1.11

Hence, We get;

Fixed fee = $15 - (1.12 x 2)

               = $15 - 2.24 ≈ $12.00

So, We get;

For every additional mile the cab travels, the total fee increases by $12.00.

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