Ages
15-18
19-22
23-26
27-30
31-34
35-38
Number of students
9
8
4
8
6
8
Find the relative frequency for the class with lower class limit 27
Relative Frequency =
Give your au
%

Answers

Answer 1

Therefore , the solution of the given problem of relative frequency comes out to be 20% of student population is between the ages of 35 and 38.

Where can I find the relative frequency?

To find it, multiply the ratio of the total number of pupils (2 + 2 + 8 + 2 + 10 + (6 = 30) by 100%, which equals the number of individuals with a lower limit of 35 (of whom there are 6).

Here,

Simply put, the relative frequency in this case is

20%: RF = (6/30)*100%

Consequently, 20% of student population is between the ages of 35 and 38.

Therefore , the solution of the given problem of relative frequency comes out to be 20% of student population is between the ages of 35 and 38.

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Related Questions

The gold standard is

Answers

The Gold Standard was a system under which nearly all countries fixed the value of their currencies in terms of a specified amount of gold, or linked their currency to that of a country which did so.

Step-by-step explanation:

Answer:

No longer used.

Step-by-step explanation:

Due to too much paper money being printed, some countries did not have enough gold reserves to exchange for the excessive amounts of paper promissory notes. (China's overprinting of printed money during the 9th and 15th centuries foreshadowed England's overprinting during WWI some 200 years later.) This rendered the paper money worthless. (One of the causes of the Great Depression.)

The gold standard is no longer used now, but the system it inspired is currently used between nations.

Match each expression with the type of factoring that applies. Question 11 options: 3x3 + 15x2 + 2x + 10 x3 + 27 2x2 + 6x x2 - 25 x2 + 6x + 8 x3 - 1 1. GCF (greatest common factor) 2. Unfoil 3. Difference of Squares 4. Difference of Cubes 5. Sum of Cubes 6. Grouping

Answers

ExpressionsType of factoring

3x³ + 15x² + 2x + 10 → Grouping

x³ + 27 → Sum of cubes

2x² + 6x → Greatest common factor

x² - 25 → Difference of squares

x² + 6x + 8 → Unfoil

x³ - 1 → Difference of cubes

What is factorization?

'Factor' is a term used to express a number as a product of any two numbers. Factorization is a method of finding factors for any mathematical object, be it a number, a polynomial or any algebraic expression. Thus, factorization of an algebraic expression refers to finding out the factors of the given algebraic expression.

Given expressions

3x³ + 15x² + 2x + 10

Using grouping method

= (3x³ + 15x²) + (2x + 10)

= 3x²(x + 5) + 2(x + 5)

Factoring out common term

= (x+5)(3x² + 2)

x³ + 27

It can be written as

= x³ + 3³

Which is sum of cubes

2x² + 6x

it can be written as

= 2x.x + 2x.3

GCF (greatest common factor) = 2x

= 2x (x + 3)

x² - 25

It can be written as

= x² - 5²

which is difference of squares

x² + 6x + 8

= x² + 4x + 2x + 8

= x(x + 4) + 2(x + 4)

= (x + 4) (x + 2)

Which is unfoil.

x³ - 1

it can be written as

= x³ - 1³

which is difference of cubes.

Hence, the factoring of expressions 3x³ + 15x² + 2x + 10, x³ + 27,  2x² + 6x, x² - 25, x² + 6x + 8, x³ - 1 refers to grouping, sum of cubes, greatest common factor, difference of squares, unfoil and difference of cubes respectively.

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Find the x-intercepts of the graph of the equation

x² - 2x + y² - 3y = 48

Answers

The x-intercepts of the graph of the equation are (8,0) and (-6,0).

What are intercepts?

A point on the y-axis known as an intercept is where the line's slope passes.

X-intercept and Y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

Now, in order to find the x- intercepts, we need to put y=0 because at that point the line crosses the x- axis and therefore, y=0 at that point.

So,

x^2-2x+(0)^2-3(0)=48

⇒x^2-2x=48

⇒x^2-2x-48=0

⇒x^2+6x-8x-48=0

⇒x(x+6)-8(x+6)=0

⇒(x-8)(x+6)=0

So, x= 8,-6

Hence, the x-intercepts of the graph of the equation are (8,0) and (-6,0).

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Select the correct answer. Solve the following inequality for x.

Answers

Where is the inequality?

Select the correct answer.
Consider functions f and g.
f (x) = 11x³ 3x²
7x² + 9x³
g(x)
Which expression is equal to f (x) g(x)?
=
A.
B.
OC.
D.
-
7x² +99x³ 3x²
77x¹2 +99x9 21x8 27x6
18x7 + 10x6 + 6x5
77x7 + 78x6 - 27x5
-
-

Answers

The expression is equal to f(x) g(x) is 77x⁷ + 78x⁶ - 27x⁵

How to determine which expression is equal to f(x) g(x)?

A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

In order to find which expression is equal to f(x) g(x), multiply (11x³ - 3x²) by (7x⁴ + 9x³). That is:

f(x) g(x) = (11x³ - 3x²)(7x⁴ + 9x³)

Expand the expression:

f(x) g(x) = 11x³ × 7x⁴ + 11x³ × 9x³ - 3x² × 7x⁴ - 3x² × 9x³

f(x) g(x) = 77x⁷ + 99x⁶ - 21x⁶ - 27x⁵

Combine like terms:

f(x) g(x) = 77x⁷ + 78x⁶ - 27x⁵

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Complete Question

Select the correct answer.

Consider functions f and g.

f(x) = 11x³ - 3x²

g(x) = 7x² + 9x³

Which expression is equal to f (x) g(x)?

A. 7x⁴ + 99x³ -3x²

B.77x¹² +99x⁹- 21x⁸ - 27x⁶

C. 18x⁷ + 10x⁶ + 6x⁵

D. 77x⁷ + 78x⁶ - 27x⁵

use the function below to find f(2) f(x) = 1/3 divided 4^x

Answers

The value of the function is 5.33

How to determine the value of the function

From the question, we have the following parameters that can be used in our computation:

f(x) = 1/3 * 4^x

To find f(2), we need to substitute x = 2 into the function f(x) = 1/3 * 4^x

f(x) = 1/3 * 4^x

f(2) = 1/3 * 4^2

f(2) = 1/3 * 16

f(2) = (1/3) * 16

f(2) = 16/3

f(2) = 5.33

So the value is f(2) = 5.33

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image! i’ll put the answers here
A. 2.5
B. 3
C. 5
D. 9.5

Answers

Answer:

Text are too tiny for me to see sorry

Answer:

2.5

Step-by-step explanation:

P=29

w+w=4+4=8(rule of perimeter is 2w+2L)

29-8=21

21-16=5(L+L=8+8=16)

5 will be over 2 since it's for the 2 sides so 5÷2=2.5

your welcome

What is sixty-seven point four three divided by ten

Answers

Answer:

67,43/10 = 6.743

When dividing any number by 10, you just move the decimal to the left. When multiplying, you move it to the right.

Step-by-step explanation:

Hope it helps! =D

Faez bought a box of cheese tart from bakery shop for his family tea time. Diagram 12 shows the top view of a cuboid-shaped box that can hold 12 round- shaped of cheese tart with the same size.
Calculate the perimeter, in cm, of the space that is not filled with cheese tart. ​

Answers

The Perimeter of the space that is not filled with cheese tart is 44 cm.

What is perimeter?Perimeter is the total length of the boundary that surrounds a two-dimensional shape, such as a square or rectangle. It is measured in linear units, such as inches, feet, or meters. The perimeter of a shape can be calculated by adding up the lengths of each of its sides. Perimeter is also used to calculate the area of a two-dimensional shape. The area of a shape can be calculated by multiplying its perimeter by its width. Perimeter is an important concept in mathematics and is used to solve a variety of problems related to area and volume. It is also an important tool for measuring the size and shape of objects, such as in architecture, engineering, and construction.

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5/34 x 22 2/3-2 1/9
what is the solution

Answers

Answer: The solution to the expression is the result of the mathematical operations being performed in the correct order. The order of operations is: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

5/34 is a fraction, 22 2/3 is a mixed number, and 2 1/9 is also a mixed number. To perform the operations, we need to convert all these mixed numbers to fractions.

So, 22 2/3 is equal to (223+2)/3 = 68/3

and 2 1/9 is equal to (29+1)/9 = 19/9

Now the expression become 5/34 x 68/3 - 19/9

We can now perform the operations:

5/34 x 68/3 - 19/9

= (568)/(343) - 19/9

= 340/102 - 19/9

Now we have to perform subtraction, for this we need to have a common denominator:

= (3409 - 19102)/(102*9)

= 2861/918

The solution is 2861/918 which can be simplified to 3 3/34

Step-by-step explanation:

In one month, Sally worked 6 more hours than Harold. Harold worked 2 times as many hours as Nora. Together they worked 81 hours. How many hours did each person work?

Answers

Sally put in 36 hours, Harold put in 30 hours, and Nora put in 15 hours.

What is equation?

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.

Here,

Let x be the work hours of Sally, y be the work hours of Harold and z be the work hours of Nora.

x+y+z=81

x=y+6

y=2z

x=2z+6

2z+6+2z+z=81

6+5z=81

5z=75

z=15

y=2z

=30

x=y+6

=30+6

=36

Sally worked for 36 hours while Harold worked for 30 hours and Nora worked for 15 hours.

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what two numbers multiply to make 7 but add to make 1

Answers

There is no number that satisfies this criteria

What is the solution to a linear equation?

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: let the two numbers be x and y then

we have x+y=1 and xy=7

Solving these two equations we get x²-x+7=0

∴x=1±√1-28 /2 but this is not a real number

Hence, such a number doesnt exist.

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Help asap I need this by today!!!

Answers

Answer:33

Step-by-step explanation:

49-16=33

Using Pythagoras theorem, the altitude a is √33.

What is Pythagoras theorem?

The Pythagorean theorem, a cornerstone of Euclidean geometry, connects the side lengths of a right triangle via the straightforward formula a² + b² = c². Ancient scholars and architects from Babylon, Egypt, China, and India were aware of the connection.

While Pythagoras lived and wrote between 569 and 475 BCE, the work that bears his name first appeared on clay Babylonian tablets around 1800 BCE. Early Chinese scholars were also aware of the Pythagorean theorem, and it was mentioned in ancient Indian sacred texts that dealt with the construction of altars.

To solve a,

We can see a right triangle forming by those 3 squares

Lets take theirs sides as the base, altitude and hypotenuse

Hypotenuse = 7

Base = 4

Altitude = to find

Using Pythagoras theorem

[tex]a^2 + b^2 = c^2[/tex]

[tex]\Rightarrow a = \sqrt{c^2 - b^2 }[/tex]

[tex]\Rightarrow a = \sqrt{7^2 - 4^2 }[/tex]

[tex]\Rightarrow a = \sqrt{49 - 16 }[/tex]

[tex]\Rightarrow a = \sqrt{33 }[/tex]

Thus, Using Pythagoras theorem, the altitude a is √33.

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Find the area of the figure.

Answers

Answer:Answer Choice C

Step-by-step explanation:To solve this problem, we need to find the area of the rectangle by doing 9X5, which is 45. Next we have to find the area of the triangle, and then subtract it by the area of the rectangle to find the area of the figure. To find the area of a triangle, we do BaseXHeight divided by 2, and in this problem, we do 9X2 (which is 18) and 18 divided by 2 which gets us 9. Now we subtract 9 from 45, which gets us 36 which means 36m2 is the answer to this problem.

The population of city A is eighty-four thousand teo hundred-six. The population of city B is represented by the expression 80,000 + 4000 + 200 + 10 +6. Write an expression using < > or = to compare the population of City A and City B. Explain how you know your answer is correct.

Answers

The comparison that can be be made between population of city A and B is City A < City B

How to find out the size of the population

The population of city A is eighty-four thousand two hundred-six

This is written in numerals as : 84,206

For Population B the size is said to be:

80,000 + 4000 + 200 + 10 +6

we would have to add this up

= 84216

Now we are to compare the value that is greater

84216 is greater than 84206

hence we would say that City A has a less population compared to City B which is greater

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Karmyn is using vinegar for a salad dressing recipe. She
has 3 1/2 cups of vinegar. She knows there are 16 table-
spoons in one cup. How many tablespoons are in her 3
1/2 cups of vinegar?

Answers

Therefore , the solution of the given problem of unitary method comes out to be  56 tablespoons in 3 1/2 cups of vinegar .

An explanation of a unitary method.

The unit technique is a method for resolving variable problems that includes multiplying the value of a unit by the required number of units. A unified force number can be extracted from a given many using the unit function, to put it simply. The price of 40 needles is 400 rupees, or about $1.50. It might be possible to verify this using a regular procedure. simply one nation. Everything possesses a unique quality.

Here,

Given :

=> 3 1/2 cups or 7/2 cups or 3.5 cups

16 tablespoons in one cup ,

=> 16 * 3.5

=> 56 tablespoons

Therefore , the solution of the given problem of unitary method comes out to be  56 tablespoons in 3 1/2 cups of vinegar .

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3. A boat has a speed of 36 km/h. If a km is about 60% of a mile, then ABOUT how many miles per hour is
the boat traveling?

Answers

Therefore , the solution of the given problem of unitary method is Boat is travelling at a speed of 21.6 miles /hour.

What does "unitary method" mean?

The unit method is a way of problem-solving where you first calculate the worth of a single group, subsequently multiply that value to get the answer. Simply expression, a single system value is extracted from a specified multiple using the unit method. For illustration, 40 pens will set you back 400 rupees, or $1.01. The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint or reciprocal are equivalent. (Linear Algebra, Mathematical Interpretation, Mathematics of Matrix or Operators)

Here,

A boat has a speed = 36 km/hour

a km is about 60% of a mile.

1 km = 60/100 mile = 0.6 mile

the boat has a speed = (0.6 × 36) mile/hour

                                   = 21.6 miles/ hour

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X-6y=24 find the slope

Answers

The slope of the linear equation perpendicular to:

x - 6y = 24

is a = -6.

How to find the slope of the perpendicular line?

A general line can be written in the slope-intercept form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Particularly, two lines are perpendicular if the product between their slopes is equal to -1.

Here we want to find a line perpendicular to:

x - 6y = 24

First, we need to find the slope of this line.

x - 6y = 24

-6y = -x + 24

y = (-1/6)*-x - 24/6

y = (1/6)*x - 3

The slope is 1/6, then if the slope of the perpendicular line is a, the slope must be a solution of:

a*(1/6) = -1

a = -6

The slope of the perpendicular line is -6.

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Need help solving this equation by rewriting using the laws of exponents!

Answers

Using Law of exponents, The value of [tex]5\sqrt{\frac{8xz^{2} }{y^{3} } }[/tex]   [tex](\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }[/tex]

Exponent rules are the laws that are applied to simplify exponent-based expressions. The principles of exponents make it simple to carry out numerous arithmetic operations, such as addition, subtraction, multiplication, and division, in a short amount of time. Additionally, these rules aid in the simplification of numbers with complex powers incorporating roots, fractions, and decimals.

Exponent rules, commonly referred to as the "laws of exponents" or "properties of exponents," facilitate the task of simplifying exponent-based statements. These guidelines are useful for reducing the complexity of expressions whose exponents are decimals, fractions, irrational numbers, or negative integers.

Given,

[tex]5\sqrt{\frac{8xz^{2} }{y^{3} } }[/tex]

⇒ [tex](\frac{8xz^{2} }{y^{3} } )^{\frac{1}{5} }[/tex]

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The difference between shape and form is that shapes are 2-dimensional (L x W)
and forms are 3-dimensional (L x W x H).
True
False

Answers

False, Shapes can be both 2 dimensional (L*W) and 3 dimensional (L*W*H) whereas Form gives us the typical significance of the shape

What defines being in shape?

Points, line segments, circles, and curves are used to build closed geometric objects. We can see these forms all around us. Examples of geometric shapes include circles, rectangles, triangles, and others. Pizza is a cylinder with triangle pieces.

What are the 8 types of geometry?

3.1 Euclidean geometry.

3.2 Differential geometry. 3.2.1 Non-Euclidean geometry.

3.3 Topology.

3.4 Algebraic geometry.

3.5 Complex geometry.

Hence from the given arguments we see

Shapes can be both 2 dimensional (L*W) and 3 dimensional (L*W*H) whereas Form gives us the typical significance of the shape

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Summarize the graph showing gasoline prices.

Answers

Price of gasoline is with Time:

Fixed: A , C, E, and G.Increasing: DDecreasing: B, and FDefine the term rate of change?

The term "rate of change" (ROC) describes the rate which something alters over time.

Thus, it is not the amount of specific features themselves but rather the acceleration as well as deceleration all changes (i.e., the rate). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.

For the stated graph.

Price of gasoline is fixed for Time: A , C, E, and G.

Price of gasoline is increasing rate for Time: D

Price of gasoline is decreasing rate for Time: B, and F

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what is the average (mean) value of 3t^3-t^2

Answers

To calculate the average (mean) value of a function, you need to find the area under the curve of the function, divide it by the interval over which the function is defined, and then find the value of the function at the midpoint of the interval.

In this case, the function is 3t³ - t² and we need to find an interval to calculate the average (mean) value. A common interval used for this calculation is from 0 to 1.

The area under the curve of the function from 0 to 1 can be found by integrating the function from 0 to 1. However, to keep it simple, we can also use the definite integral of the function from 0 to 1, which is:

∫ (3t³ - t²) dt = 3t⁴/4 - t³/3 | from 0 to 1

= (3/4) - (1/3) = 1/4

So, the average (mean) value of the function 3t³ - t² over the interval 0 to 1 is: 1/4 ÷ 1 = 1/4

And the value of the function at the midpoint of the interval, which is 0.5, is: 3(0.5) ³ - (0.5) ² = 3/8 - 1/4 = -1/32

So, the average (mean) value of the function 3t³ - t² over the interval 0 to 1 is -1/32.

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need help asap will give brainlist

Answers

The answer is the second one because you do y2-y1 all over x2-x1

Based on the table, h(x)=
I added the photo of tables

Answers

Based on the table, the equation of the function h(x) is h(x) = f(x) - 1

How to determine the function h(x)

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and h(x)

When the x values of both functions are compared, we can see that they have the same x values

However, for the y values

The function h(x) is 1 lesser than the function f(x)

This means that

h(x) = f(x) - 1

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I need help finding the standard deviation

Answers

The standard deviation of the data-set is given as follows:

2.24.

How to obtain the standard deviation of the data-set?

The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.

The sum of the differences squared between each observation and the mean is given as follows:

4 x (6 - 9.28)² + 5 x (7 - 9.28)² + (8 - 9.28)² + 4 x (9 - 9.28)² + 5 x (10 - 9.28)² + 4 x (11 - 9.28)² + 6 x (12 - 9.28)² = 144.75.

Dividing by the number of values, we have that:

144.75/(4 + 5 + 1 + 4 + 5 + 4 + 6) = 5.

Taking the square root, the standard deviation is given as follows:

2.24.

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Do Americans work more than the French? American adults work on average 43.5 hours per week with a standard deviation of 4.6 hours. French adults work an average of 36 hours per week with a standard deviation of 5.1 hours.
3. A random sample of 110 Americans and 135 French adults were selected and surveyed about their work time. What is the probability that the sample mean for French is greater than that of the Americans?​

Answers

To determine the probability that the sample mean for French is greater than that of the Americans, we need to use the Central Limit Theorem, which states that as the sample size increases, the distribution of the sample means will become more and more normal, regardless of the distribution of the population from which the samples are drawn.

So, we can assume that the sample means of both American and French adults will be normally distributed with a mean of 43.5 hours/week and 36 hours/week respectively and a standard deviation of 4.6/sqrt(110) and 5.1/sqrt(135) respectively.

We can use these assumptions and the Z-score formula to find the probability that the sample mean for French is greater than that of Americans.

Z = (36 - 43.5) / (sqrt((4.6/sqrt(110))^2 + (5.1/sqrt(135))^2))

The resulting Z-score will be negative, meaning that the probability that French sample mean is greater than American sample mean is low and it's a rare event.

Question 41 of 50
Corresponding angles form when a transversal intersects with two parallel lines, making the corresponding angles congruent to each other.

False

True

Answers

The given statement "when a transversal crosses two parallel lines, Corresponding angles are created, which are congruent to one another" is TRUE.

What are corresponding angles?

The angles created when a transversal intersects two parallel lines are known as corresponding angles.

Typical examples of equivalent angles include opening and closing a lunchbox, resolving a Rubik's cube, and endless parallel railroad tracks.

Angles that are equal in size and are found on the same side as the transversal line are called corresponding angles.

In geometry, corresponding sides and corresponding angles of polygons are compared as part of the tests for congruence and resemblance.

In these tests, the order of adjacency is maintained by pairing each side and each angle of one polygon with a side or angle of the other polygon.

Therefore, the given statement "when a transversal crosses two parallel lines, Corresponding angles are created, which are congruent to one another" is TRUE.

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Given a normal distribution with m=100 and s=10, if you select a sample of n=25, what is the probability that X is:
a. less than 95?
b. between 95 and 97.5?
c. above 102.2?
d. There is a 65% chance that X is above what value?

Answers

a. The probability that X is less than 95 is approximately 0.0668

b. The probability that X is between 95 and 97.5 is approximately 0.1359

c. The probability that X is above 102.2 is approximately 0.0228

d. The value of X for 65% chance is 99.23

We know, z=(X-mean)/ (S.D./sqrt N)

Thus, putting in the values for the respective cases, we get

(a) z value corresponding to X=95 is,

z=(95-100)/(10/sqrt 25)= -2.5

Therefore, required probability= area under the standard normal curve left to

z= -2.5 = 0.5000- 0.4938= 0.0062

(b) z value corresponding to X=95 is -2.5 and X=97.5 is,

z=(97.5-100)/(10/sqrt 25)= -1.25

Therefore, required probability= area under the standard normal between

z= -2.5 and z= -1.25= 0.4938- 0.3944= 0.0994

(c) z=(102.2-100)/(10/sqrt 25)= 1.1

Therefore, required probability= area under the standard normal curve right to

z= -2.5 = 0.5000- 0.3643= 0.1357

(d) 65%= 0.6500 is an area on the left side of the z value.

Or, we can say 35%= 0.3500 is on the right side of the z value.

therefore, the corresponding z value is -0.385 approximately.

Thus, for X value,

-0.385= (X-100)/(10/sqrt 25)

-0.385= (X-100)/2

-0.77= X-100

X= 99.23

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part 2 - find the error(s) and solve the problem correctly. solve by completing the square. 8x^2-x-1=0

Answers

The errors of quadratic equation is [tex]x=4 \pm \sqrt{24} &[/tex].

The given quadratic equation is [tex]8x^{2}-x-1=0[/tex]

The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:

[tex]\ ax^{2} + bx + c = 0[/tex]

where x is the unknown variable and a, b and c are the constant terms.

Standard Form of Quadratic Equation is [tex]ax^{2} + bx + c = 0[/tex] where a,b,c are real number and a≠0

Therefore the roots of the given equation can be found by:

[tex]x=\frac{-b\±\sqrt{b^{2}-4ac } }{2a}[/tex]

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

⇒[tex]$$8 x^2-x-1=0$$[/tex]

Multiply both sides by 8.

⇒[tex]8\left(8 x^2-x=1\right)[/tex]

[tex]x^2-8 x=8 & \\x^2-8 x+16=8+16 & \\(x-4)^2=24 & \\x-4=\pm \sqrt{24} & \\x=4 \pm \sqrt{24} &[/tex]

Therefore, the x is [tex]x=4 \pm \sqrt{24} &[/tex].

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The distribution of the amount of money spent by students on textbooks in a semester is
approximately normal in shape with a mean of: = 428 and a standard deviation of: σ= 24.
According to the standard deviation rule, almost 16% of the students spent more than what amount of money on
textbooks in a semester?

Answers

A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.

What is the standard deviation of o=24?

Tables of the standard normal distribution are frequently used to show different regions of the normal distribution. A standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Tables of the standard normal distribution are frequently used to show different regions of the normal distribution.The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean.

A sigma value, typically represented by the Greek letter or lower case s, is a measure of how far a sample or point of data is from its mean. It is given in standard deviations.

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