Find an equivalent ratio in simplest terms: 90:20

One third of a figure would be 1/3 of its total size or area.

The area of a form or planar lamina is referred to as the plane region or plane area, as opposed to surface area, which denotes the area of an open surface or the boundary of a three-dimensional object.Area can be thought of as the volume of material, at a particular thickness, required to create a model of the shape, or as the volume of paint required to paint the surface in a single coat. It is equivalent to the volume of a solid or the length of a curve in two dimensions (a three-dimensional concept).

1. A figure is a shape or an image that can be drawn or represented on a flat surface.

2. 1/3 of a figure would mean dividing the figure into three equal parts.

3. The resulting parts would be 1/3 of the size or area of the original figure.

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The value of the mean for the scores in an exam which are normally distributed is 70.

Given:

the scores in an exam were normally distributed with unknown mean and a standard deviation of 5 .

if 30.85 % of students scored more than 72.5 . what is the value of the mean = ?

Mean = µ

σ = 5

x = 72.5

The z score corresponding to the area 30.85% in the right tail is :

Zi score = Z 0.3085

             = 0.500

Again : Z₀ = x- µ/σ

           ⇒ x- µ = Z₀σ

           ⇒ µ = x - Z₀σ

                  = 72.5 - 0.500 × 5    (using z table)

                  = 72.5 - 2.5

                  = 70

Hence we get the unknown mean as 70.

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The inequality 3h + 5 < 4h in set builder form is  {h : h ∈ R, and h > 5}.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, An inequality 3h + 5 < 4h.

3h - 4h < - 5.

-h < - 5.

h > 5                   (Make the variable positive by moving it to the other side)

So, The inequality in the set builder form is {h : h ∈ R, and h > 5}

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The value of the given expression is obtained using the property of composite function as g(f(2)) = 5.

For two functions f(x) and g(x), a composite function is defined as f(g(x)) or g(f(x)). The characteristics of this function can be described as,

The inverse of a composite function is equivalent to the composition of the inverse of both functions.

The composition of two one to one functions is always one to one.

The given table shows the values of two functions f(x) and g(x).

The given expression is equivalent to the value of g(f(x)) at x = 2.

Now, g(f(2)) can be obtained as follows,

The value of f(2) from the table is 1.

And, the value of g(1) is 5.

Thus, g(f(2)) = g(1) = 5

Hence, the value of the given expression is 5.

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Therefore option C) The probability of P and M together is equal to 0, hence the answer is yes.

In probability theory, the likelihood that an event will happen or that a statement is true is expressed numerically. A number between 0 and 1, with 1 often denoting certainty and 0 typically denoting impossibility, is used to describe the likelihood of an event.

Here,

As a result, P stands for the possibility that the chosen candidate favored pepperoni exclusively.

And M stands for the situation where the chosen person preferred just mushrooms.

Therefore, P and M are two occurrences that are mutually exclusive since two events are mutually exclusive if they do not occur simultaneously.

P and M cannot occur simultaneously in this case.

As a result, there is no chance that P and M will happen simultaneously, or at all.

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Answer:she willl have 20

Step-by-step explanation:

because  each is aa key word for  multiply

The required value of ab is -1.5 which is the correct answer would be option (B).

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given as:

4x² + 5x - 6 = 0

4x² + 8x - 3x - 6 = 0

4x(x + 2) - 3(x + 2) = 0

(x + 2)(4x - 3) = 0

Each factor equals to 0 and solves for x.

x + 2 = 0 and 4x - 3 = 0

x = -2 and x = 3/4

If a and b are two solutions to the given equation,

So, we have a = -2 and b = 3/4

⇒ ab = -2 × 3/4 = -6/4 = - 1.5

Therefore, the required value of ab is -1.5.

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Answer: x = 4

Step-by-step explanation: i used mathaway to answer this

Answer:

I think its B

Step-by-step explanation:

Sorry if im wrong

Answer:

Step-by-step explanation:

uhmm 4x +27 ?  4 times 27? what number is that supposed to be

let me try

4x + 27 + 4x + 27 + 4x + 27    (equilateral means all sides r the same length so 3 times cuz 3 angles in triangle)

12x + 81 = 27 (ok its prob not 4x +27 since x would be a negative number but just change 27 to the number it actually is)

12x = -54

x = -4.5

there enjoy it should be right if the numbers u gave me r correct

Answer:

The odds of rolling a specific number on a 6-sided dice is 1 in 6, which can be written as a percentage by dividing 1 by 6 and then multiplying by 100. This gives us a percentage of 16.666666...%, which can be rounded to 16.67% if needed.

Inequality -2x + 9 4x + 3 and 8x9 <- 7x - 3 has no solution.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ( ≠ )" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than. The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers.

Given,

Compound inequalities has no solution is:

Variables should be moved to the equation's left side:

-8x + 7x > -3 + 9

Combining similar terms

-x < -3 + 9

Determine the total or difference:

-x < -6

Divide the inequality's two sides by the variable's coefficient:

x > -6

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The equation of the circle that has a center at (5, - 4) and intersects the point (5, - 2) will be (x - 5)² + (y + 4)² = 2².

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

In our daily life, we always see circular objects for example our bike wheel.

The longest line which can be drawn inside the circle will be the diameter.

The equation of a circle with radius r and center (h,k) will be given as,

(x - h)² + (y - k)² = r²

As per the given circle,

(x - 5)² + (y + 4)² = r²

Since, it passes through (5,-2) so it must satisfy this point.

Put (5,-2)

(5 - 5)² + (-2 + 4)² = r²

r = 2

Thus, the equation of the circle will be (x - 5)² + (y + 4)² = 2².

Hence "The equation of the circle will be (x - 5)² + (y + 4)² = 2²".

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6 people ordered chicken wings and 3 people ordered chicken wrap.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given that there were 9 people in a group. Some of them ordered chicken wings and rest people ordered the chicken wrap.

The cost of chicken wings is $14.99.

The cost of chicken wrap is $8.49.

The total bill was $115.41.

Assume that, x number of people ordered chicken wings.

Then (9 - x) number of people ordered chicken wrap.

The cost of 1 chicken wings is $14.99

The cost of x chicken wings is $14.99x.

The cost of 1 chicken wrap is $8.49.

The cost of (9 - x) chicken wrap is $8.49(9 - x).

The total cost of x chicken wings and (9 - x) chicken wrap is $[14.99x + 8.49(9 - x)]

= $[14.99x + 76.41 - 8.49x]

= $[6.50x + 76.41]      [ Subtract like terms]

According to the question,

6.50x + 76.41 = 115.41

Subtract 76.41 from both sides:

6.50x = 39

x = 6

Putting x = 6 in the expression (9 - x)

9 - x = 9 - 6 = 3

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Answer:

4.46

Step-by-step explanation:

2.6 pounds of apples= 1.25 × 2.6 = 3.25

2 pounds of lunch meat = 4.65 × 2 = 9.3

a loaf of bread = 2.99

total = 3.25 + 9.3 + 2.99 = 15.54

change = 20.00 - 15.54 = 4.46

I hope this helps.

Have a nice day dear.

Answer:

53,47

Step-by-step explanation:

If 1 van and 6 buses with 372 students, then each bus and van had 372/7 = <<372/7=53>>53 students.

If each bus and van had the same number of students, then 4 vans and 12 buses had 453 = <<453=212>>212 students.

If 4 vans and 12 buses with 780 students, then each bus had 780-212 = <<780-212=568>>568/12 = <<568/12=47>>47 students.

Therefore, 1 van can hold 53 students and 1 bus can hold 47 students. Answer:{53,47}.

The equation of the line passing through the point so that segment of the line i.e. [tex]y+2x=4[/tex]

The equation of the line be [tex]y=mx+c[/tex]

Now the line intersects at the x-axis  [tex](a,0)[/tex] and the point at which the y-axis intersect [tex](0,b)[/tex]

Plug in the value [tex](a,0)\\[/tex]

[tex]ma+c=0\\a=\frac{-c}{m}[/tex]

and now plug in the value [tex](b,0)[/tex]

[tex]b=c+0\\b=c[/tex]

now [tex](1,2)[/tex] is the midpoint of [tex](a,0)[/tex] and [tex](0,b)\\[/tex]

[tex]2=\frac{0+b}{2\\}\\ b=c\\\frac{c}{2} =2\\c=4[/tex]

and

[tex]1=\frac{a+0}{2}\\1=\frac{-c}{2m} \\m=-2[/tex]

plug in the value of m and c

[tex]y+2x=4[/tex] is the required equation

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The number you would divide by to calculate the mean of 3, 4, 5, and 6 is 4. The mean of 3, 4, 5, and 6 is 4.5.

1. Add all of the numbers together: 3 + 4 + 5 + 6 = 18

2. Count how many numbers there are: 4

3. Divide the sum by the number of numbers: 18 / 4 = 4.5

The mean is a type of average. It is calculated by adding all of the numbers together and then dividing the sum by the number of numbers. In this case, we added 3, 4, 5, and 6 together to get 18. We then divided 18 by the number of numbers (4) to get 4.5, which is the mean of 3, 4, 5, and 6.

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The statement that describes Jaden's error is; Jaiden should have added

zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

What is error?

Actions that are inaccurate or incorrect are considered errors. An error is the same as a mistake in some contexts. The word 'errare,' which means 'to stray,' is where the etymology originates from. In statistics, the term "error" describes the discrepancy between the computed value and the correct value.

The place value indicates the multiple of 10 by which the digit is multiplied. The given numbers have the same values in the ones place value, the difference are in the numbers to the right of the decimal point.

The given numbers are;

2.615

2.65

2.7

2.623

The steps to order the numbers from least to greatest;

Add zeros to the shorter decimals such that each number have the same number of digits after the decimal point; 2.615, 2.650, 2.700 2.623

Then

Select the number with the lowest ones; Which gives all the numbers

Then

From the above list, select the number with the lowest tenth, and move them to the left of the list; Which gives the numbers, 2.615, 2.650, 2.623, 2.700

Next

From the above list, select the number with the lowest hundredth, and move them to the left of the list, in increasing order of the hundredth; Which gives the numbers, 2.615, 2.623, 2.650, 2.700

The numbers 2.615, 2.623,2.650, 2.700,  are in the order from least to

greatest.

Hence, Jaiden's error is that Jaiden should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

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Complete question:

Jaiden is ordering 2.615, 2.65, 2.7, and 2.623 from least to greatest. Here are his steps: (1) Compare and order 2.7 and 2.65 because they have the fewest digits. (2) Compare each digit of the numbers 2.615 and 2.623. * The units digits are equal. * The tenths digits are equal. * 1 < 2 in the hundredths place so 2.615 < 2.623. (3) Combine the two lists into one: 2.7, 2.65, 2.615, 2.623. Which statement describes Jaiden’s error?

(1) The numbers are listed from greatest to list

(2) The two numbers with the most digits should have been compared first

(3) Zeros should have been added to the numbers to get, 2.615, 2.065, 2.007, and 2.623. Then the numbers should be compared using place value

(4) He should have added zeros to each of the shorter decimals to get 2.615, 2.650, 2.700, and 2.623, then he should have compared them using place values.

As three people are asked to throw a fair die. Then, the probability that they all get the same number is 1/36.

Probability:

Probability is a branch of mathematics that quantifies the likelihood of an event occurring or the likelihood of a statement being true. Probability is a number between 0 and 1, with 0 generally indicating impossibility and 1 indicating certainty that an event will occur. A simple example is tossing a fair (unbiased) coin. Since the coin is fair, the two outcomes (heads and tails) are equally likely. The probability of heads is the same as the probability of tails. Since no other outcome is possible, the probability of heads or tails is 1/2 (also written as 0.5 or 50%).

According to the Question:

Theoretical, Probability is based on the probability that something will happen. Probability justification serves as the main basis for theoretical probability.

Given that,

There is a 1 in 6 chance that the dice will match.

The number of throwers is 3.

That way everyone has a chance to get the same number.

And the probability is:

The total outcome is 3 dice = ( 6 × 6 × 6 = 216 ).

Therefore,

probability of getting the same number = 6 × 1/6 × 1/6 × 1/6

                                                                   = 6 × 1/6 × 1 × 1/6 × 6

                                                                   = 6/6 × 1/36

                                                                   = 1 × 1/36

Therefore,

Probability of all three thrown is 1/36.

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Answer: 6x−4

Explanation: We need to work out the main steps, so here i organised them for you.

Step 1: For this part of the question we have a line with equation that is:

Y = 8x+5

Step 2: For this part we need to times the answer with:  

X =2

Step 3: So the tangent can pass through the coordinate must be be

M = 8  | There fore we have in a total answer as 6x-4

Message: If you found this helpful let me know by giving me a thanks! :)

The potential third side lengths that could form a triangle lies in the range 9<x<81.

Given that, two sides lengths are 36 inches and 45 inches.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Here, the potential third side lengths that could form a triangle.

So, the range of third side lengths(x) is 45-36<x<45+36

⇒ 9<x<81

Therefore, the potential third side lengths that could form a triangle lies in the range 9<x<81.

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Answer:

Step-by-step explanation:

123(students in general) - 65 (girls) = 58

The range for the following sets is:

{9.12, 9.33, 9.18, 9.12. 9.24} = 0.21

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2} = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71} = 0.54

{6, 2, 14, 11, 28, 10, 19, 15, 11} = 26

The range is the difference between the highest value and the lowest value of a given set of data.

We have,

{9.12, 9.33, 9.18, 9.12. 9.24}

Range = 9.33 - 9.12

Range = 0.21

{10.2, 3.8, 21.9, 33.4, 31.8, 17.2}

Range = 33.4 - 3.8

Range = 29.6

{0.5, 0.65, 0.22, 0.11, 0.47, 0.55, 0.55, 0.71}

Range = 0.65 - 0.11

Range = 0.54

{6, 2, 14, 11, 28, 10, 19, 15, 11}

Range = 28 - 2

Range = 26

Thus,

The range of the given sets is as follows:

0.21, 29.6, 0.54, and 26.

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wAnswer:

e

Step-by-step explanation:

How do you write angle measurements?

Angles are measured in degrees (°) using a protractor. A protractor is a measuring device that is used to calculate or draw angles in terms of degrees. For example, in the image below, we see that using a protractor, the black arrow points to 100°, crossing 90°. Hence, the measure of the angle is 100°.

The idea of an angle

Degrees are the most widely used unit of measurement. A straight angle is 90° since a circle has 360 equal degrees.

degrees

Angles are measured in degrees (°) using a protractor. A protractor is a measuring device that is used to calculate or draw angles in terms of degrees. For example, in the image below, we see that using a protractor, the black arrow points to 100°, crossing 90°. Hence, the measure of the angle is 100°.

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The velocity of a bus that travels 120 kilometres in 3 hours is 40 kilometres per hour.

The velocity of bus will be calculated using the formula -

Velocity = change in position or displacement ÷ change in time

The change in position is 120 kilometres and the change in time is 3 hours, as both started from 0, the difference will be the number itself..

Keep the values in formula -

Velocity = 120/3

Performing division on Right Hand Side of the equation

Velocity = 40 kilometres per hour

Hence, the velocity is 40 kilometres per hour.

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