Need help on finding g .

The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.

We have,

Let's denote the number of students who passed with I, II, and III divisions as x, y, and z, respectively.

Given that the total number of students who appeared in the examination is 210, and 56 students failed, we can calculate the number of students who passed:

Number of students who passed = Total students - Number of students who failed

= 210 - 56

= 154

According to the given ratio, the number of students who passed with I, II, and III divisions are in the ratio of 5:10:7.

We can express this ratio in terms of x, y, and z as:

x : y : z = 5 : 10 : 7

To find the actual number of students who passed with I, II, and III divisions, we can set up the following equation based on the ratio:

5k + 10k + 7k = 154

22k = 154

k = 154 / 22

k = 7

Now, we can find the number of students who passed with I, II, and III divisions:

Number of students who passed with I division = 5k = 5 x 7 = 35

Number of students who passed with II division = 10k = 10 x 7 = 70

Number of students who passed with III division = 7k = 7 x 7 = 49

Therefore,

The number of students who passed with I, II, and III divisions are 35, 70, and 49, respectively.

Learn more about ratios here:

https://brainly.com/question/2462048

#SPJ1

Answer:

Step-by-step explanation:

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

Given:

Volume = 627.8 cm^3

Height = 19.5 cm

π (pi) = 3.14

Substituting the given values into the formula:

627.8 = 3.14 * radius^2 * 19.5

Simplifying the equation:

627.8 = 60.93 * radius^2

To solve for the radius, we can divide both sides of the equation by 60.93:

radius^2 = 627.8 / 60.93

radius^2 = 10.29

Taking the square root of both sides:

radius ≈ √10.29

Rounding to the nearest tenth:

radius ≈ 3.2

Therefore, the approximate radius of the cylinder is 3.2 cm.

Answer:

3.2

Step-by-step explanation:

The volume of a cylinder is:

Vol = pi•r^2•h

Fill in what is given.

627.8 = pi•r^2•19.5

use 3.14 for pi.

627.8 = 3.14•r^2•19.5

simplify.

627.8 = 61.23r^2

divide by 61.23

10.253 = r^2

sqrt both sides

sqrt10.253 = r

3.2 = r

Hello!

4/7 = 44/77

6/11 = 42/77

42/77 < 43/77 < 44/77

the rationnal number between 4/7 and 6/11​ is 43/77

In the given expression, 2x³-4x²+2x-x-3, there are five terms. An expression is a mathematical phrase that can be constructed using variables, constants, and operators.

It can include any mathematical operations such as addition, subtraction, multiplication, and division. Additionally, an expression can be made up of one or more terms.In the given expression, 2x³-4x²+2x-x-3, there are five terms. The terms are:2x³: This is the first term in the expression.

It is a cubic term, which means it has an exponent of 3.4x²: This is the second term in the expression. It is a quadratic term, which means it has an exponent of 2.2x: This is the third term in the expression. It is a linear term, which means it has an exponent of 1.-x:

This is the fourth term in the expression. It is also a linear term, but it has a negative coefficient.-3: This is the fifth term in the expression. It is a constant term since it does not have any variable attached to it.In summary, the given expression has five terms, which are 2x³, -4x², 2x, -x, and -3.

For more question on expression

https://brainly.com/question/723406

#SPJ8

Answer:

Step-by-step explanation:

You want to solve the system of equations ...

We can eliminate y by subtracting the first equation from 4 times the second:

  4(3x +y) -(x +4y) = 4(-2) -(25)

  11x = -33

  x = -3

Using the second equation, we have ...

  y = -2 -3x = -2 -3(-3) = 7

The values of x and y that make the equation true are ...

__

Additional comment

The sum of matrices is the sum of corresponding terms. The constant terms on the diagonals are irrelevant to the values of x and y. The off-diagonal sums give the two equations solved here.

<95141404393)

The value of variables in the figure is,

⇒ x = 80

⇒ y = 70

We have to given that;

By using given figure we have to find the value of each variable.

Now, We can formulate;

⇒ 55 = 1/2 (180 - y)

Solve for y;

⇒ 55 × 2 = 180 - y

⇒ 110 = 180 - y

⇒ y = 180 - 110

⇒ y = 70

And, The value of x is,

⇒ x = 180 - (60 + 40)

⇒ x = 180 - 100

⇒ x = 80

Thus, The value of variables in the figure is,

⇒ x = 80

⇒ y = 70

Learn more about the circle visit:

https://brainly.com/question/24810873

#SPJ1

Answer:

Try contacting the Help center located at the bottom part of the home page of this site. It is recoverable as long as no violation committed

Each friend drank a total of 3 beverages during their visit to the beach.

To find the number of beverages each friend drank, let's assume the number of drinks they brought and consumed this year is represented by 'x'.

From the given information, we can set up the following equations:

Last year:

5x + 2 = Total number of drinks (equation 1)

This year:

3x + 8 = Total number of drinks (equation 2)

Since the total number of drinks should be the same in both years, we can set equation 1 equal to equation 2:

5x + 2 = 3x + 8

Now, let's solve this equation to find the value of 'x':

5x - 3x = 8 - 2

2x = 6

x = 3

So, each friend drank 3 canned drinks both last year and this year.

Therefore, each friend drank 3 beverages.

More on numerical calculations can be found here: https://brainly.com/question/32130540

#SPJ9

The correct answer is A. a characteristic of the population.

A population parameter refers to a specific characteristic

A population parameter refers to a specific characteristic or numerical value that describes the entire population being studied. It is a fixed value that is typically unknown and estimated using sample data. Examples of population parameters include the population mean, population standard deviation, population proportion, etc.

Note that his is solved using the principle of Combination, and there are 771, 891, 120 different ways to form the groups for the first division soccer league tournament in Mexico.

Let 's compute the number of ways to form the groups using combinations.

First group - 5 teams

C(18, 5) = 18! / (5! * (18-5)!) = 8568

Second group - 5 teams

C(13, 5) = 13! / (5! * (13-5)!) = 1,287

Third group - 4 teams

C(8, 4) = 8! / (4! * (8-4)!) = 70

Fourth group - 4 teams

C(4, 4) = 4! / (4! * (4-4)!) = 1

Now, applying the product rule

Total ways =  8568 x 1,287 x 70 x 1 = 771891120

Therefore, there are 771, 891, 120  different ways to form the groups for the first division soccer league tournament in Mexico.

Learn more about Combination at:

https://brainly.com/question/28065038

#SPJ9

Translation

In how many ways is it possible to form the groups of the first division soccer league tournament? Let's remember that 18 teams participate in the first division of soccer in Mexico, and for the league tournament, two groups of five teams and two groups of 4 teams are formed. It is suggested that when solving it, the number of teams that have been considered for the first group be subtracted, then for the second group and so on for each group. Finally apply the product rule to find the different shapes.​

Step-by-step explanation:

Unclear what you are asking

here is one possibility

3^2  - 4^5

9    - 1024 = - 1015

Here is another possibility

(3^(2-4) )^5    =  = (3^(-2))^5 =   3 ^-10 =    1/59049      

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

We have,

To find the angle opposite to side BC in triangle ABC, we can use the Law of Cosines.

The Law of Cosines states that in a triangle with sides of lengths a, b, and c, and the angle opposite to side c being denoted as C, the following equation holds:

c² = a² + b² - 2ab x cos(C)

In this case,

Side a is BC with length 12, side b is AC with length 20, and side c is AB with length 11. We want to find the angle C, which is opposite to side BC.

Plugging the given values into the Law of Cosines equation:

11² = 12² + 20² - 2 x 12 x 20 x cos C

121 = 144 + 400 - 480 x cos C

121 = 544 - 480 x cos C

480 x cos C = 544 - 121

480 x cos C = 423

cos C = 423/480

Now, we can find the angle C by taking the inverse cosine (arccos) of (423/480):

C = arccos(423/480)

Using a calculator, we find that C is approximately 38.213 degrees.

Therefore,

The angle opposite to side BC in triangle ABC is approximately 38.213 degrees.

Learn more about the law of cosines here:

https://brainly.com/question/30766161

#SPJ1

Check the picture below.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=7\\ b=3\\ h=3 \end{cases}\implies A=\cfrac{3(7+3)}{2}\implies A=15[/tex]

The probability of winning the jackpot with one ticket is P ( A ) = 1/34

Given data ,

To calculate the probability of winning the jackpot in the lottery, we need to determine the total number of possible outcomes (the sample space) and the number of favorable outcomes (winning outcomes).

Total number of possible outcomes:

For the white balls, there are 43 numbers to choose from, and we need to select 5 distinct numbers in any order. This can be calculated using the combination formula:

C(n, r) = n! / (r! * (n - r)!)

where n is the total number of options and r is the number of selections. In this case, we have 43 white balls and need to choose 5, so the number of possible outcomes for the white balls is:

C(43, 5) = 43! / (5! * (43 - 5)!) = 43! / (5! * 38!) = 43 * 42 * 41 * 40 * 39

For the gold ball, there are 34 numbers to choose from, and we need to select 1 number. So the number of possible outcomes for the gold ball is simply 34.

Therefore, the total number of possible outcomes is:

Total outcomes = (43 * 42 * 41 * 40 * 39) * 34

Number of favorable outcomes (winning outcomes):

To win the jackpot, we need to match all 5 distinct numbers from the white balls and the number on the gold ball. Since order doesn't matter for the white balls, we can use the combination formula again:

C(n, r) = n! / (r! * (n - r)!)

In this case, we have 43 white balls and need to choose 5, so the number of favorable outcomes for the white balls is:

C(43, 5) = 43! / (5! * (43 - 5)!) = 43 * 42 * 41 * 40 * 39

For the gold ball, there is only 1 winning number.

Therefore, the number of favorable outcomes is:

Favorable outcomes = (43 * 42 * 41 * 40 * 39) * 1

Probability of winning the jackpot:

The probability of winning the jackpot is the ratio of the number of favorable outcomes to the total number of possible outcomes:

Probability = Favorable outcomes / Total outcomes

Plugging in the values, we get:

Probability = [(43 * 42 * 41 * 40 * 39) * 1] / [(43 * 42 * 41 * 40 * 39) * 34]

Simplifying, we find:

Probability = 1 / 34

Hence , the probability of winning the jackpot with one ticket in this lottery is 1 in 34.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The expression that we need to solve is 4*45 + 2*123 , and that is equal to 426.

Here we want to calculate the quadruple of the decimal part by adding twice the integer part of the following decimal number: 123.45​

The decimal part of this number is 45

The integer part of this number is 123.

Then the expression that we need to solve is:

4*45 + 2*123 = 426

That is the value of the mathematical sentence.

Learn more about solving expressions at:

https://brainly.com/question/4344214

#SPJ1

Answer:

-84x^7

Step-by-step explanation:

The product of (4x)(-3x³)(-7x³) is -84x^8.

To calculate the product, we multiply the coefficients together and add the exponents of the variables:

4 * (-3) * (-7) = 84

x^1 * x^3 * x^3 = x^(1+3+3) = x^7

Combining the coefficient and the variable, we get -84x^7.

Step-by-step explanation:

A: If there are 2 modes, x can be either 1 or 2.

B: To find the mode of the data set, we need to count how many times each number appears.

- 0 appears 2 times

- 1 appears 4 times

- 2 appears 4 times

- 3 appears 3 times

- 4 appears 1 time

Since both 1 and 2 appear 4 times in the data set, there are two modes.

For x, if we add it to the data set, then the mode must be x plus either 1 or 2.

If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.

So a possible value for x could be 2, and the mode would be 2.

To determine which company has higher salaries, you can use the mean, median, or mode as measures of center. Let's calculate each of these measures for the given data:

Company A salaries: 45,000, 55,000, 53,000, 51,000, 49,000, and 42,000.

Mean (Average):

To calculate the mean, sum up all the salaries and divide by the total number of salaries.

Mean of Company A salaries = (45,000 + 55,000 + 53,000 + 51,000 + 49,000 + 42,000) / 6 = 295,000 / 6 = 49,167

Median:

To find the median, you arrange the salaries in ascending order and find the middle value. If there is an even number of values, you take the average of the two middle values.

Arranging the Company A salaries in ascending order: 42,000, 45,000, 49,000, 51,000, 53,000, 55,000

Median of Company A salaries = (49,000 + 51,000) / 2 = 50,000

Mode:

The mode represents the value(s) that appear most frequently in the dataset.

In Company A salaries, all the values occur only once, so there is no mode.

Now let's calculate the same measures for Company B salaries:

Company B salaries: 54,000, 39,000, 51,000, 52,000, 44,000, and 48,000.

Mean of Company B salaries = (54,000 + 39,000 + 51,000 + 52,000 + 44,000 + 48,000) / 6 = 288,000 / 6 = 48,000

Arranging the Company B salaries in ascending order: 39,000, 44,000, 48,000, 51,000, 52,000, 54,000

Median of Company B salaries = (48,000 + 51,000) / 2 = 49,500

Mode of Company B salaries = There are no repeating values, so there is no mode.

To summarize:

- Mean of Company A salaries: $49,167

- Median of Company A salaries: $50,000

- Mode of Company A salaries: No mode

- Mean of Company B salaries: $48,000

- Median of Company B salaries: $49,500

- Mode of Company B salaries: No mode

Based on these measures of center, we can see that the mean and median salaries of Company A are slightly higher than those of Company B. However, since there is no mode in either dataset, we cannot consider the mode as a determining factor in this case.

To calculate the rate at which the mixture is being poured, we divide the amount of mixture poured (in kilograms) by the time it takes (in minutes):

In this case, the amount of mixture poured is 50 kg, and the time taken is 8 minutes. Plugging these values into the formula, we have:

Dividing 50 kg by 8 min gives us:

Therefore, the mixture is being poured at a rate of 6.25 kilograms per minute.

The number of boxes of lawn seed that will be needed will be 4.

From the information, an area is formed by a square, ABCB, and a semi circle. BD is the diameter of the semi circle.The radius of the semi circle is 4m. The area is going to be covered completely with lawn seed.

The area of the square is s²

= 4²

= 16 m²

The area of the semi-circle is (πr²)/2:

= (π*4²)/2

= 8π m²

The total area is 16 + 8π m²

The number of boxes of lawn seed needed is (16 + 8π)/25 = (8 + 4π)/25

≈ 3.44 boxes

≈ 4 boxes

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Answer:

(a)2030

Step-by-step explanation:

I'm assuming the 100 at the end of the question is a typo.
In 2040, the son's age can be written as [tex]\frac{x}{3}[/tex], where x equals the age of his father. In 2050, the son's age can be written as [tex]\frac{x-10}{2}[/tex] (as ten years is added between 2040 and 2050). When equated to each other--> [tex]\frac{x-10}{2}[/tex] = [tex]\frac{x}{3}[/tex], we can first simplify by multiplying both sides to reach the least common denomination 6, giving us 3(x-10)=2x --->3x-30=2x--->x=30 is the dad's age. The son's age in 2040, 30/3, is equal to 10 years, meaning he was born in the year 2030 (a).

The triangle ∆DEF is similar by the SSS similarly to the triangle ∆JKL

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

To know if the triangles DEF and JKL are similar, we check if their sides corresponds in the same ratio, that is;

JK/DE = KL/EF = JL/DF

JK/DE = 9/12 = 3/4

KL/EF = 18/24 = 3/4

JL/DF = 12/16 = 3/4

Therefore, the triangle ∆DEF is similar by the SSS similarly to the triangle ∆JKL

Read more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

Answer:

The inequality |x – 4| > –3 represents an absolute value inequality.

The absolute value of any real number is always non-negative, meaning it is greater than or equal to zero. Therefore, the left side of the inequality, |x – 4|, will always be greater than or equal to zero.

Since the right side of the inequality, -3, is also greater than or equal to zero, this means that the inequality |x – 4| > –3 holds true for all real numbers x. In other words, there are no restrictions on the value of x.

The solution set for this inequality is the set of all real numbers, often represented as (-∞, +∞).

Answer:

(−∞,∞)

Step-by-step explanation:

|x – 4| > – 3

Since |x – 4| is always positive and - 3 is negative, |x – 4| is always greater than - 3, so the inequality is always true for any value of x.

All real numbers

The result can be shown in multiple forms.

All real numbers

So, the answer is (−∞,∞)

Answer:

348 cm²

Step-by-step explanation:

In this problem, we are asked to find the surface area of the regular hexagonal prism. We can use the formula:

[tex]SA = 2A + (P \cdot h)[/tex]

where [tex]A[/tex] is the area of the prism's hexagonal faces, [tex]P[/tex] is the perimeter of the hexagonal faces, and [tex]h[/tex] is the prism's height.

We can solve for the area of the hexagonal faces by splitting it into 6 triangles and multiplying the area of each triangle by 6.

[tex]A = 6\left(\dfrac{1}{2} bh\right)[/tex]

where [tex]b[/tex] is the triangle's base and [tex]h[/tex] is the triangle's height.

[tex]A = 6\left(\dfrac{1}{2}\cdot 4 \cdot 3.5\right)[/tex]

[tex]A = 6\left(2 \cdot 3.5\right)[/tex]

[tex]A = 12 \cdot 3.5[/tex]

[tex]A = 42\text{ cm}^2[/tex]

We can solve for the perimeter by multiplying one side length by 6.

[tex]P = 6(4) = 24\text{ cm}[/tex]

We are given that the height of the prism is 11 cm.

[tex]h = 11\text{ cm}[/tex]

Finally, we can solve for the surface area of the prism by plugging these values into the above formula.

[tex]SA = 2A + (P \cdot h)[/tex]

[tex]SA = 2(42) + (24 \cdot 11)[/tex]

[tex]SA = 84 + 264[/tex]

[tex]\boxed{SA = 348 \text{ cm}^2}[/tex]

The side and angles of the right triangle are as follows:

1. 5 units

2. 5 units

3. tan ∅ = 4 / 5

The side of a right triangle can be found using Pythagoras's theorem and the angles of a right angle triangle can be found using trigonometric ratios as follows:

c² = a² + b²

where

Therefore,

1.

c² = 4² + 3²

c = √16 + 9

c = √25

c = 5 units

2.

a² = 13² - 12²

a = √169 - 144

a = √25

a = 5 units

3.

tan ∅ = opposite / adjacent

tan ∅ = 4 / 5

learn more on right triangle here: https://brainly.com/question/30966657

#SPJ1

Answer:

To convert 7.55 dollars into dimes and quarters, we need to make use of the fact that there are 10 dimes in a dollar and 4 quarters in a dollar. Here's how to do it:

Step-by-step explanation:

1. First, convert the dollar amount into cents: 7.55 dollars x 100 cents/dollar = 755 cents.

2. Next, use long division to find how many quarters are in 755 cents: 755 ÷ 25 = 30 with a remainder of 5.

3. The quotient of 30 tells us that we can use 30 quarters, which equals $7.50.

4. The remainder of 5 cents is less than a quarter, so we cannot use another quarter. Instead, we can use 1 dime, which is worth 10 cents.

Therefore, 7.55 dollars is equivalent to 30 quarters and 1 dime.

Answer:

[tex]\{0.559,0.641\}[/tex]

Step-by-step explanation:

[tex]\displaystyle CI_{95\%}=\frac{336}{560}\pm1.96\sqrt{\frac{\frac{336}{560}(1-\frac{336}{560})}{560}}\approx\{0.559,0.641\}[/tex]