Convert: 83.36m= cm


pls help

Answer:

[tex]x^2+(y-5)^2=49[/tex]

Step-by-step explanation:

Recall the formula for the graph of a circle:

[tex](x-h)^2+(y-k)^2=r^2\\[/tex]

Where h is the x-coordinate of the vertex, k is the y-coordinate of the vertex, and r is the radius.

We are given the vertex and the length of the radius.

Substitute the values:

[tex](x-0)^2+(y-5)^2=7^2=\\x^2+(y-5)^2=49[/tex]

Thus, the standard form is:

[tex]x^2+(y-5)^2=49[/tex]

The expression that represents the area of the remaining rectangular portion is given as follows:

A = -4x² + 12x + 6.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width

The dimensions for the rectangle are given as follows:

Hence the area is given as follows:

A = 3(4x + 2)

A = 12x + 6.

Four squares of side length x -> area = x² are cut, hence the remaining area is given as follows:

A = -4x² + 12x + 6.

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The sentence can be rewritten using De Morgan's Laws as:

It is false that Tina likes Sprite and Tina likes 7-Up.

In other words, Tina does not like both Sprite and 7-Up.

To solve the system of equations by substitution, we need to solve one equation for one variable and substitute it into the other equation. Here are the steps to solve the given system of equations:

Solve the first equation for y:

11y + 1 = -6x

11y = -6x - 1

y = (-6x - 1)/11

Substitute the expression for y into the second equation:

0 = 43 - 7x - 4y

0 = 43 - 7x - 4((-6x - 1)/11)) (substituting y = (-6x - 1)/11)

0 = 43 - 7x + (24x + 4)/11

0 = (11*43 - 77x + 24x + 4)/11

0 = (473 - 53x)/11

Solve for x:

473 - 53x = 0

53x = 473

x = 473/53

Substitute the value of x into one of the original equations to find y:

11y + 1 = -6(473/53)

11y = (-6(473/53)) - 1

11y = (-282 + 53)/53

11y = -229/53

y = (-229/53) * (1/11)

y = -229/583

Therefore, the solution to the system of equations is (x, y) = (473/53, -229/583).

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The numbers in each cell represent the frequency of people who chose that combination of gender and movie type.

What is the frequency?

The number of periods or cycles per second is called frequency. The SI unit for frequency is the hertz (Hz). One hertz is the same as one cycle per second.

To construct a two-way frequency table for the data, we need to organize the responses by gender and movie type. The table is in the attached image.

The rows represent the gender of the moviegoers, and the columns represent the movie type.

The numbers in each cell represent the frequency of moviegoers who chose that combination of gender and movie type.

For example, there are 12 men who chose Drama as their favorite movie type, and there are 13 women who chose Action as their favorite movie type.

The total number of moviegoers who chose Drama is 22, and the total number who chose Action is 27. The total number of moviegoers is 49.

Hence, The numbers in each cell represent the frequency of people who chose that combination of gender and movie type. For example, 12 men chose Drama as their favorite movie type.

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The number of cups of vegetable oil used by Colin to make 8 cakes is given by A = 5 1/3 cups

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data,

Let the equation be represented as A

Now, the value of A is

Substituting the values in the equation, we get

Let the number of cups of vegetable oil used by Colin to make 8 cakes be represented as A

Now , the number of cups of vegetable oil used by Colin to make 1 cake is given by = ( 2/3 ) cups of oil

And , number of cups of vegetable oil used by Colin to make 8 cakes A =

A = 8 x number of cups of vegetable oil used by Colin to make 1 cake

On simplifying the equation, we get

[tex]\text{A} = 8 \times \huge \text{(} \dfrac{2}{3} \huge \text{)}= \dfrac{16}{3}[/tex]

[tex]\boxed{\bold{A = 5 \dfrac{1}{3} \ cups}}[/tex]

Therefore, the value of A is 5 1/3 cups

Hence, the number of cups of vegetable oil required is 5 1/3 cups

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Complete question is-

Colin uses 2/3 cup of vegetable oil in each cake that he makes for his father's bakery.

If Colin made 8 cakes, how much oil did Colin use in all?

A. 5 1/3 cups

B. 7 1/3 cups

C. 8 2/3 cups

D. 16 1/3 cups​

The answer of the given question based on the Critical value is , , the critical value to for the confidence level c = 0.99 and sample size n = 22 is 2.819.

What is Critical value?

In statistics,  critical value is  value that is used to determine whether to reject  null hypothesis in hypothesis test. It is based on chosen level of significance, which is the maximum probability of making a Type I error (rejecting  true null hypothesis). The critical value is determined by sampling distribution of the test statistic, which is often a t-statistic or z-statistic, depending on the test and the characteristics of the population being studied.

To find the critical value t for a 99% confidence level and a sample size of 22, we need to use a t-distribution table or a calculator.

Using a t-distribution table with 21 degrees of freedom (n-1), we find that  critical value for a 99% confidence level is approximately 2.819.

Therefore, critical value for confidence level c = 0.99 and sample size n = 22 is 2.819 (rounded to nearest thousandth).

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Answer: C) -7.

Step-by-step explanation:

9 • (–1) – 20 ÷ (–10)

= -9 - (-2)

= -9 + 2

= -7

Therefore, the answer is C) -7.

Answer:

do how to do this is 16 x 16=256 and 8 x 8 =64 so 256+64=320

These characteristics create a unique triangle.

Congruent sides are sides of a polygon (such as a triangle) that have the same length or measure. In other words, if two sides of a polygon are congruent, they are exactly the same length.

Given: Triangle has two acute angle (angle lass than 90)

third angle should be obtuse has a measure greater than 90 degrees.

To classify the triangle by its sides, we can look at the length of each side. Since there are no congruent sides, this triangle is a scalene triangle.

There is only one possible triangle that fits these characteristics - a scalene, obtuse-angled triangle with two acute angles and one obtuse angle, and no congruent sides.

Therefore, these characteristics create a unique triangle.

Image is attached below.

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Suppose that the function h is defined as follows. -2 -1 h(x)= if – 2, the graph is given below: (see image)

A graph is a mathematical structure used to represent relationships between objects or entities. It consists of a set of vertices (also known as nodes) and a set of edges that connect pairs of vertices.

In a graph, the vertices represent the objects or entities being studied, while the edges represent the connections or relationships between them.

For example, in a social network graph, the vertices might represent individual users, and the edges might represent their connections (e.g. friendships) with other users.

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Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .

The width of a circle in geometry is the separation between any two or more points on the ring that pass through the centre. It is the longest chord that may divide a circle to two equal half, which are referred to as semicircles. The radius of a circle, which corresponds to the distance between any two points on its circumference, and the diameter, which is sometimes symbolised by the letter "d," are connected by the following formula: d = 2r where r denotes the circle's radius. In many mathematics, such as geometry, trigonometry, and calculus, the diameter is a significant measurement scale.

given

We can first create a diagram of the cylinder portion to help us tackle this issue. We are aware that the cylinder has a 4 inch diameter, which indicates that its radius is 2 inches.

The diagonal "d" in this instance serves as the hypotenuse, while the other two sides are the segment's height (which is equal to the cylinder's radius, or 2 inches), and half of its length (which is 3/2 inches).

Hence, we can construct the equation:

D2 is equal to (2 inches) + (3/2 inches).

If we simplify, we get:

[tex]d^2 = 4 + 2.25\\d^2 = 6.25[/tex]

When we square the two sides, we obtain:

2.5 inches for d

Hence, the cylinder segment's longest side measures about 2.5 inches as the other two sides are the segment's height .

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I think the answers for 3 and #3 part B are 96, and 144

Please tell me if I got it wrong :)

The area of the remaining portion of the sheet is -4x² + 12x + 6.

Jay cuts identical squares from the corners of a rectangular sheet of paper as shown in the adjoining figure.

Therefore, the area of the remaining portion can be found as follows:

area of the rectangle = 3(4x + 2)

area of the rectangle = 12x + 6

Therefore,

area of each square cut out = x²

area of the 4 square cut out = 4x²

Therefore,

area of the remaining portion = 12x + 6 - 4x²

area of the remaining portion = -4x² + 12x + 6

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The number of square inches to make up half the cookie cake is 76.93 in² area.

The diameter of the circular cookie cake is 14 inches, so its radius will be r = 7 inches. Using the formula for area of circle we have:

area of cookies cake = 3.14 × 7 in × 7 in

area of cookies cake = 153.84 in²

half the area of the cookie cake = 153.84 in²/2

half the area of the cookie cake = 76.93 in²

Therefore, the number of square inches to make up half the cookie cake is 76.93 in² area.

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Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

Note that the median of the distribution or the density curve is -6. (Option C)

If the curve is a straight line and the area under the curve appears to be a rectangle, then we can assume that the density curve is a uniform distribution. In this case, the median of the distribution is simply the midpoint of the interval, which would be

(-10 + (-2))/2

= -6.

A density curve is a mathematical model used to describe the overall pattern of a dataset. It is a smooth curve that approximates the distribution of the data and shows the relative frequencies of observations at different values.

The area under the curve represents the total proportion of observations in the dataset, and the curve is normalized such that the total area under the curve equals one. Density curves are used in statistics to analyze and interpret data, and can be used to make predictions about future observations.

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The distance from Link to the Green Soldier so Link can attack is unit c = 5.

Triangle is a three-sided polygon with three angles. It is one of the most basic and fundamental shapes in geometry. Triangles can be classified by the lengths of their sides, by the size of their angles, or by the relationship between their sides. There are three basic types of triangles: equilateral, isosceles, and scalene. An equilateral triangle has three equal sides and three equal angles, an isosceles triangle has two equal sides and two equal angles, and a scalene triangle has all three sides and angles unequal.

The distance between Link and Ganon is the hypotenuse of a triangle, which is the geometry that is being displayed.

The Pythagoras rule can be used to determine this:

c² = a² + b²

The hypothenuse is c.

Triangle formula: a = base * 4 units

b = height = three units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

unit c = 5

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IQR offers a more accurate indicator of consistency than range since it is less impacted by outliers.

Due to Bus 18's smaller IQR, we can infer that it is more consistent than Bus 47.

An indicator of statistical dispersion used to describe the variability of a dataset is the interquartile range (IQR). It is derived by subtracting a dataset's 75th percentile (Q3) from its 25th percentile (Q1). When compared to other measures of variability like range, the IQR represents the middle 50% of the data and is less susceptible to outliers.

We must contrast the measurements of variability for the two buses in order to determine which one is more reliable. We can utilize range and interquartile range as measurements of variability. (IQR).

The range of a dataset is the difference between its maximum and minimum values.

The range for Bus 18 is 16 (22 - 6), whereas the range for Bus 47 is 24. (28 - 4).

A measure of variability that is less impacted by outliers than the range is the interquartile range (IQR). It is determined as the difference between a dataset's third and first quartiles (Q3 and Q1, respectively).

The IQR is 16 for Bus 18 (Q3 - Q1 = 22 - 6)

IQR offers a more accurate indicator of consistency than range since it is less impacted by outliers. Due to Bus 18's smaller IQR, we can infer that it is more consistent than Bus 47.

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Value of indicated point is 2.

In mathematics, a straight line is a geometric object that extends infinitely in both directions and is perfectly straight, meaning that it does not curve or bend. A straight line is defined by any two points on the line, which can be connected by a line segment that lies entirely on the line.

The equation of a straight line can be written in various forms, such as slope-intercept form, point-slope form, or standard form, but they all describe the same line. The equation of a straight line is y = mx + b in slope-intercept form.

Given equation;

3x-y=1

Given coordinate (1,y)

Putting the value of coordinate in equation, we get

3-y=1

3-1=y

y=2

Hence, value of indicated point is 2.

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The answer in a fraction in reduced form is 0.52.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction.

Numbers from 1 - 40

Let's find the probability of:

Even numbers = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 = 20 numbers

Even numbers that are at least 12 = 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40 = 15 numbers.

Numbers that are at least 12 = 29 numbers

Therefore, the probability that a number chosen at random is even given that it is at least 12 is 0.52

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The probability of getting a multiple of 3 given that the number chosen is greater than 15 is 8/25 or 0.32 as a decimal.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain.

Fractions are a way of representing a part of a whole or a portion of a quantity. They are written as two numbers separated by a line, with the number on top called the numerator and the number on the bottom called the denominator.

The probability of getting a multiple of 3 given that the number chosen is greater than 15, we need to first determine the number of integers between 16 and 40 that are multiples of 3. There are 8 such integers: 18, 21, 24, 27, 30, 33, 36, and 39.

Next, we need to determine the total number of integers between 16 and 40. There are 25 such integers: 16, 17, ..., 40.

Therefore, the probability of getting a multiple of 3 given that the number chosen is greater than 15 is 8/25 or 0.32 as a decimal.

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Thus, the area of the wrapping paper that is used by lainey to cover all of the sides of cubical box is 486 sq. in.

A solid shape having six square faces is called a cube. Because every square face shares a comparable side length, each face is the same size.

Given data:

Volume of cubical box =   729 cubic inches   ...eq 1

Let 'x' be the side of the cube:

Formula for the volume of cube = x³   ...eq 2

Equation eq 1 and eq 2

x³ = 729

x = ∛729

x = 9 inches

Now, surface area of cube = 6x²

surface area of cube = 6*(9)²

surface area of cube = 6*81

surface area of cube = 486 sq. in.

Thus, the area of the wrapping paper that is used by lainey to cover all of the sides of cubical box is 486 sq. in.

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The correct polynomial function of lowest degree with only real coefficients and having the zeros √7, -√7, and 5 is:

OB. f(x) = x³ - 5x² - 7x + 35

What is polynomial?

A polynomial is a mathematical expression that consists of variables and coefficients, which are combined using arithmetic operations such as addition, subtraction, multiplication, and non-negative integer exponents.

The polynomial function of lowest degree with only real coefficients and having the given zeros can be obtained by multiplying the factors (x - √7), (x + √7), and (x - 5) since the zeros are √7, -√7, and 5.

Expanding the product, we get:

(x - √7)(x + √7)(x - 5) = (x² - 7)(x - 5) = x³ - 5x² - 7x + 35

Therefore, the correct polynomial function of lowest degree with only real coefficients and having the zeros √7, -√7, and 5 is:

OB. f(x) = x³ - 5x² - 7x + 35

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The answer of the given question based on the pentagon is , the perimeter of the pentagon is approximately 122.

A regular pentagon is polygon with five sides of equal length and five angles of equal measure. It is type of regular polygon, which is a polygon with all sides and angles of equal measure. In a regular pentagon, each interior angle measures 108 degrees, and each exterior angle measures 72 degrees.

The formula for the perimeter of a regular pentagon is P = 5s, where s is the length of a side.

To find the length of a side of the pentagon, we can use the fact that the radius of the circle is 20. If we draw radii from the center of the circle to the vertices of the pentagon, we divide the pentagon into 5 congruent isosceles triangles. Each of these triangles has a base of length 20 and two equal angles at the base, so they are also similar triangles.

Let x be the length of one of the equal sides of a triangle. Then, by the Pythagorean theorem, we have:

x² + (20)² = (2x)²

x² + 400 = 4x²

3x² = 400

x² = 400/3

x ≈ 12.2474

Therefore, the length of a side of the pentagon is s = 2x ≈ 24.4948.

The perimeter of the pentagon is P = 5s ≈ 122.474.

Rounding to three significant digits, the perimeter of the pentagon is approximately 122.

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In linear equation, Her profit is rupees 4000.

No. of purses she must sell to have neither profit nor loss is 600 nos.

She made loss of rupees 2135.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables. 

The housewife earns,

Profit on 1 purse = 25 rupees

Loss on 1 vanity bag = 20 rupees

So,

Profit on 1000 purses = 25*1000 rupees

                                   = 25000 rupees

Loss on 1050 purses = 20*1050 rupees

                                  = 21000 rupees

Here, Profit > Loss

So,

Total profit = 25000-21000 rupees

                 = 4000 rupees

i) Her profit is 4000 rupees.

If no. of vanity bags sold = 750 nos.

She made loss of = 750*20 rupees

                            = 15000 rupees

ii) No. of purses she must sell to have neither profit nor loss

= 15000/25 nos.

= 600 nos.

Profit on selling 325 purses = 325*25 rupees

                                              = 8125 rupees

Loss on selling 513 vanity bags = 513*20 rupees

                                              =10260 rupees

Here, Profit < Loss

So,

iii) She made loss of = 10260-8125 rupees

                            = 2135 rupees

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The complete question is -

A housewife along with a group of ladies sold bags of different sizes. She earns a profit of 25 on a purse and a loss of 20 on a vanity bag sold. i. She received an order of 1050 vanity bags and 1000 purses. What is her profit or loss? ii. How many purses must she sell to have neither profit nor loss, if the number of vanity bags sold is 750? iii. How much profit/loss did she make in selling 325 purses and 513 vanity bags?

Before we begin we must know:

An equation is an algebraic equality in which letters (unknowns) with unknown value appear. The degree of an equation is given by the largest exponent of the unknown. To solve an equation is to determine the value or values of the unknowns that transform the equation into an identity.

Solving the equation, we will first add what is in the first, I mean:

Now we must convert to a fraction, first we will put the greater number on top and the smaller number below.

Now the last thing we should do is divide both numbers by nine (9), and we will have the following:

∴ The result of our equation is y = 9

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The probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

Probability is the measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 indicates an impossible event and 1 indicates a certain event.

In the given question,

There are 8 possible outcomes, and we want to find the probability of getting exactly one tail. We can list the outcomes with exactly one tail as HHT, HTH, and THH.

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH)

We know that each individual toss of a fair coin has a probability of 1/2 of resulting in either heads or tails. Using the multiplication rule of probability, we can find the probabilities of each of these outcomes:

P(HHT) = (1/2) * (1/2) * (1/2) = 1/8

P(HTH) = (1/2) * (1/2) * (1/2) = 1/8

P(THH) = (1/2) * (1/2) * (1/2) = 1/8

So, the probability of getting exactly one tail is:

P(exactly one tail) = P(HHT) + P(HTH) + P(THH) = 1/8 + 1/8 + 1/8 = 3/8

Therefore, the probability of getting exactly one tail when a fair coin is tossed three times is 3/8.

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