Rewrite as a simplified fraction. 1. 323232323232323= ?

A symmetrical distribution of exam scores in a college course indicates that the student's scores are evenly distributed across the entire range of scores. This suggests that about an equal number of students had relatively high and relatively low scores.

Correct answer will be b) About an equal number of students had relatively high and relatively low scores.

And that there is no single group that overwhelmingly outperformed or underperformed the others. Furthermore, it indicates that there were a substantial number of students who achieved high scores, as well as a substantial number who achieved low scores.

This type of even distribution of scores is often seen when students are equally prepared, and when the exam is designed to be neither too difficult nor too simple.

In conclusion, a symmetrical distribution of exam scores suggests that the students were similarly prepared and that the exam was appropriately challenging.

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Answer:

Option D :- \( \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }\)

Step-by-step explanation:

\( \sf \: 3x\sqrt[3]{648 {x}^{4} {y}^{8} }\)

transform the equation

\( \rightarrow \sf \: 3x\sqrt[3]{ {6}^{3} \times {3x}^{2} \times {xy}^{6} \times {y}^{2} }\)

rewrite the expression

\( \rightarrow \sf \: 3x \times \sqrt[3]{ {6}^{3}} \times\sqrt[3]{ {3x}^{2}} \times \sqrt[3]{ {xy}^{6} } \times \sqrt[3]{{y}^{2} }\)

Simplify the radical expression

\( \rightarrow \sf \: 3x \times {6xy}^{2} \sqrt[3]{3xy {}^{2} }\)

Multiply

\( \sf \: 18 {x}^{2} {y}^{2} \sqrt[3]{3 {xy}^{2} }\)

Answer: Option D :-

Step-by-step explanation:

transform the equation

rewrite the expression

Simplify the radical expression

Multiply

Step-by-step explanation:

Step-by-step explanation:

Hey there!

The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.

Note: Find through using midpoint formula.

midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

Put all values.

(\frac{X+3}{2},\frac{-3+y}{2})

Since they are equal, equating with it's corresponding components.

\frac{3 + x}{2} = - 2

-2 = 3 + x

-4 -3= x

Therefore, X= -7.

Now,

\( \frac{ - 3 + y}{2} = 1\)

\( - 3 + y = 2\)

Therefore, y= 5

Therefore, the other end point is (3,5).

Hope it helps...

The volume of the square pyramid in terms of x is (1/3) * x^4.

The volume V of a square pyramid can be calculated using the formula:

V = (1/3) * Base Area * Height

In this case, the base of the pyramid is a square with side length x, so the base area is given by:

Base Area = x^2

The height of the pyramid is given as x^2, so substituting these values into the volume formula, we have:

V = (1/3) * x^2 * x^2

Simplifying, we get:

V = (1/3) * x^4

Therefore, the volume of the square pyramid in terms of x is (1/3) * x^4.

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Answer:

Buy 14 cupcakes

Step-by-step explanation:

4 - 9 - x

the pattern is plus 5

9+5=x

x=14

The required number of the cups next in the series is given as 14, the required series is given as 4, 9, 14, and so on.

Given that,
Two weeks ago, bought 4 cupcakes last week, and bought 9, a series to be determined.

A Series is defined as a group of numbers related or nonrelated to each other

Here,
According to the question,
2 weeks ago Number of cupcakes was 4,
1 week ago the number of cupcakes was 9.
The relationship formed can be given as y = --5x + 14,
put x = 0 we would get the number that comes next in the series,
So,
y = -5(0) + 14
y = 14

Thus, the required number of the cups next in the series is given as 14, the required series is given as 4, 9, 14, and so on.

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Answer:

1/4

Step-by-step explanation:

The equivalent equation of the equation, \(\frac{5x+6}{2}=3-(4x+12)\) is 5x + 6 = -18 - 8x

Two equations are said to be equivalent when they have the same solution set.

Equivalent equations are algebraic equations that have identical solutions or roots.

Therefore, let's find the equivalent equation of the equation.

\(\frac{5x+6}{2}=3-(4x+12)\)

Let's open the bracket on the right side

\(\frac{5x+6}{2}=3-(4x+12)\)

\(\frac{5x+6}{2}=3 - 4x - 12\)

\(\frac{5x+6}{2}=(-9-4x)\)

cross multiply

5x + 6 = 2(-9 - 4x)

5x + 6 = -18 - 8x

5x + 8x = -18 - 6

13x = - 24

divide both sides by 13

x = - 24 / 13

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Darla's mom needs to purchase 2.35 gallons of paint, and she will pay $30.48 for the paint.

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Answer:

≈ 11.7 m

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let x be the measure of the second leg , then

x² + 15² = 19²

x² + 225 = 361 ( subtract 225 from both sides )

x² = 136 ( take square root of both sides )

x = \(\sqrt{136}\) ≈ 11.7 m ( to the nearest tenth )

In linear equation, 0.75x + 2y ≤ 16 , 2x + 4y ≤  40 are the solution represent .

What is the most effective way to explain linear equations?

An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x). In this scenario, y is referred to as the dependent variable because it depends on the independent variable, x.

if the small pair is x, the large pair is y.

45 minutes = 0.75 hour

120 minutes = 2 hour

 so, 0.75x + 2y ≤ 16

   2x + 4y ≤  40

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Answer

an=a1+(n-1)d

Step-by-step explanation:

a2-a=9_2=7

a3-a2=16-9=7

a4-a3=23-16=7

a5-a4=30-23=7

0.734

Probability is a branch of mathematics that deals with the occurrence or non-occurrence of an event. The probability is a number between 0 and 1 that represents the possibility of an event occurring.What is the probability that a new worker will meet the production quota?Given that an electronics plant has the probability 0.83 that a new worker who has attended the company's training program will meet the production quota and that the corresponding probability is 0.35 for a new worker who has not attended the company's training program, then the probability that a new worker will meet that production quota is 0.8(0.83) + 0.2(0.35) = 0.734Therefore, the probability that a new worker will meet that production quota is 0.734.

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There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= \(\frac{1}{4}\) year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = \(\frac{12}{4}=3\)

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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There are Three months in a quarter of a year.

To determine what is being asked, divide the total number by the denominator and get the portion using the numerator:

1 year = 4 quarters

1 quarter= \(\frac{1}{4}\) year

1 year = 12 months

Thus,

1 quarter = (Total number of months in year) ÷ (Total number of quarters in a year)

1 quarter = \(\frac{12}{4} =3\)

So, There are Three months in a quarter of a year.

One year typically refers to a period of 365 days or 12 months. It usually includes the entire calendar year from January 1st to December 31st. It can also refer to a fiscal year (a period of 12 consecutive months used for accounting purposes) or a school year (which may start in late summer).

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Step-by-step explanation:

Since we know that as the angles are in linear pair then their sum equals to 180°

Given

One angle = 47°

Let the other angle be x then

x + 47° = 180° {being linear pair }

x = 180° - 47°

Therefore x = 133°

The measure of the other angle is 133°

Hope it will help :)❤

Answer:

133°

Step-by-step explanation:

they form 180° together, so 180-47=133°

To get 150% of a given number x, we multiply it by 1.5

This way, we'll have that:

Solving for x,

Therefore, we can conclude that 12 is 150% of 8

The scale factor is 2.5

for B = 10/4 = 2.5

for C = 15/6 = 2.5

Answer:

≈ 5.77

Sorry, I can't really explain how to solve it. I suggest watching video tutorials to learn.

Answer:

7.25 each or 7.00 if rounded

Step-by-step explanation:

Answer:

Caudillo - A Latin American dictator

Tyranny - Cruel and oppressive rule by a government

Occupation - The use of military power to control a territory

Adapt - To fit for a new use

The equation that represents the situation in which case the percent of successful free throws is 75% during the game is; ( 8 + x ) = 0.75 ( 15 + x ).

It follows from the task content that the equation which represents the situation in which case the percent of successful free throws rises to 75% is to be determined.

As evident in the task content; Initially, Shaq made 8 out of 15 free throws he attempted.

Therefore, let the number of consecutive free throws he has to make to raise the success rate to 75% be; x.

Therefore, it follows from percent proportion that;

( 8 + x ) / ( 15 + x ) = 75 / 100

The simplified equation which represents the required situation is therefore;

( 8 + x ) = 0.75 ( 15 + x ).

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Step 1

Simplify the expression.

Step 2

Find a trigonometric identity that can be used to simplify the expression in step 1

Step 3

Get the final answer after substitution.

Hence the right answer is option B

Answer:

4 2/11

Step-by-step explanation:

The absolute value is the distance between a number and zero. This means that absolute value cannot be negative because you cannot travel a negative distance. The distance between - 4 2/11 is 4 2/11.

Hope This Helps :)

The absolute value of -4(2/11) is 46/11.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

-4(2/11)

= -46/11

Now,

The absolute value.

= |-46/11|

= 46/11

Thus,

The value is 46/11.

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Answer:

porque cuando haces multiplicacion entre negativo y positivo siempre es positivo

Step-by-step explanation:

de nada. por favor marca brainliest

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

Answer:

JM = 17

x = 12

Step-by-step explanation:

The given triangles are similar with ASA rule if so then x + 5 must be equal to 2x - 7

x + 5 = 2x - 7 and 5 + 7 = 2x - x

12 = x

The length of JM

2x - 7 can be written as 2×12 - 7 = 17

For exercise 1, the derivative of F(x) = 2x^3 - 3x^2 + 3/x^2 is f'(x) = 6x^2 - 6x + 6/x^3, obtained by applying the power rule. For exercise 2, the derivative of F(x) = (x^2 + 2x)(3x^2 - 4) is f'(x) = 12x^3 - 8x + 18x^2 - 8, obtained by expanding and differentiating each term separately using the power rule.

Exercise 1:

Given: F(x) = 2x^3 - 3x^2 + 3/x^2

To find the derivative f'(x), we first rewrite F(x) as a polynomial:

F(x) = 2x^3 - 3x^2 + 3x^(-2)

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 2x^3, we apply the power rule:

f'(x) = 3 * 2x^(3-1) = 6x^2

For the second term, -3x^2, the power rule gives:

f'(x) = -2 * 3x^(2-1) = -6x

For the third term, 3x^(-2), we use the power rule and the chain rule:

f'(x) = -2 * 3x^(-2-1) * (-1/x^2) = 6/x^3

Combining these derivatives, we get the overall derivative:

f'(x) = 6x^2 - 6x + 6/x^3

Exercise 2:

Given: F(x) = (x^2 + 2x)(3x^2 - 4)

To find the derivative f'(x), we expand the expression first:

F(x) = 3x^4 - 4x^2 + 6x^3 - 8x

Applying the power rule to find f'(x), we differentiate each term separately:

For the first term, 3x^4, we apply the power rule:

f'(x) = 4 * 3x^(4-1) = 12x^3

For the second term, -4x^2, the power rule gives:

f'(x) = -2 * 4x^(2-1) = -8x

For the third term, 6x^3, we apply the power rule:

f'(x) = 3 * 6x^(3-1) = 18x^2

For the fourth term, -8x, the power rule gives:

f'(x) = -1 * 8x^(1-1) = -8

Combining these derivatives, we get the overall derivative:

f'(x) = 12x^3 - 8x + 18x^2 - 8

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The binomial distribution applies to experiments where there are a fixed number of independent trials, each with only two possible outcomes, and a constant probability of success. The experiments that fit this description are: throwing a coin 50 times, drawing 5 marbles with replacement from a box containing 5 red and 2 yellow marbles, and drawing a sample of 20 bolts from a bin containing 5,000 bolts with a known 2% of them being faulty. So, the correct answer is A, B, C and E.

The binomial distribution applies to the following probability experiments

A coin is thrown 50 times, and the variable is the number of tails. This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.

Fifty coins are each thrown once, and the variable is the number of tails. This experiment also satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of tails is constant, and there is a fixed number of trials. This satisfies the condition.

A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles, replacing the marble each time. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marble is replaced each time. The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant.  This satisfies the condition.

A box contains 5 red and 2 yellow marbles, and you draw out 5 marbles without replacement. The variable is the number of yellow marbles drawn. This experiment does not satisfy the requirements for a binomial distribution because the trials are not independent since the marbles are not replaced.

The probability of drawing a yellow marble changes from trial to trial, so the probability of success is not constant. This does not satisfies the condition.

A large bin contains 5,000 bolts, 2% of them are faulty, and you draw a sample of 20 bolts from the bin. The variable is the number of faulty bolts.

This experiment satisfies the requirements for a binomial distribution because each trial has only two possible outcomes, the trials are independent, the probability of drawing a faulty bolt is constant, and there is a fixed number of trials. This satisfies the condition.

So, the correct options that satisfies the condition of binomial distribution is A, B, C and E.

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1. Based on the proportional relationship table created, 4.8 gallons of water will be in the fish tank after 3 mins.

2. 25 minutes.

3. The Constant of proportionality is: 1.6.

In a proportional relationship between variables x and y, the Constant of proportionality, k, is determined using any pair of values from the table as:

k = y/x.

The relationship is modelled as y = kx.

Constant of proportionality = k = y/x = 0.8/0.5

Constant of proportionality = k = 1.6

The equation for the relationship would be: y = 1.6x. Use the equation to complete the table:

For x = 1:

y = 1.6(1) = 1

For x = 3:

y = 1.6(3) = 4.8

For y = 40:

40 = 1.6x

40/1.6 = x

x = 25

The complete table is:

x             y              

0.5        0.8

1            1.6

3           4.8

25        40

1. Using the proportional relationship table, we can conclude that, 4.8 gallons of water will be in the fish tank after 3 mins.

2. Using the proportional relationship table, the time it would take to fill the tank with 40 gallons of water is: 25 mins.

3. Constant of proportionality = k = 1.6.

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