Please help me its for my hw

The ice cream no of tasters relative frequency. The correct option is B.

Strawberry                4 0.2

Choco Nuts              12 0.6

orange mints               4 0.2

Wagenlucht Ice Cream Company is always trying to create new flavors of ice cream. They are market-testing three kinds to find out which one has the best chance of becoming popular.

They give small samples of each to 20 people at a grocery store. 4 ice cream tasters preferred the Strawberry Cream, 12 preferred Choco- Nuts, and 4 loved the Orange Mint. Construct a Pareto chart to represent these preferences. Choose the vertical scale so that the relative frequencies are represented.

Ice cream no of tasters relative frequency.

Strawberry                4 0.2

Choco Nuts              12 0.6

orange mints               4 0.2

Relative frequency is frequency over the total frequency.

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The height of the tree is approximately 380.04 feet.

Trigonometry involves the study of angles and their relationship to the sides of a right triangle

The tallest tree in the world is a redwood in California and if you're standing 220 feet from the bottom of the tree, you have to look up at a 60-degree angle to see the top. To find the height of the tree, we need to use a concept in mathematics called trigonometry.

The height of the tree can be found using the formula:

Height of tree = Distance from bottom of tree * tan (angle of elevation)

In this case, the distance from the bottom of the tree is 220 feet and the angle of elevation is 60 degrees. Plugging in these values into the formula, we get:

Height of tree = 220 * tan (60)

The value of tan (60) can be found using a calculator or a trigonometry table. The result is approximately 1.732. So the height of the tree can be calculated as:

Height of tree = 220 * 1.732 = 380.04 feet

So in summary, the height of the tree can be found by using the concept of trigonometry and the formula for the height of a tree based on the distance from the bottom of the tree and the angle of elevation to the top of the tree.

Complete Question:

2. The tallest tree in the world is a redwood in California (as of April 2019) If you're standing on the trail 220 feet from the bottom of the tree, you have to look up at a 60 degree angle to see the top. How tall is the tree? Draw the pic so that you know what you are solving for.

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The height of the swing path for a performer whose maximum speed is 7 meters per second is 0. 35m

The formula for calculating the maximum speed of the swing is given by the function:

v = 2gh

Given that the parameters are;

From the information given, we have that;

v = 7 meters per second

g = 9. 8 meters per square second

Now, substitute the values into the formula, we get;

7 = 2× 9. 8 × h

Multiply the values, we get'

7 = 19.6 h

Divide both sides by the coefficient of h, we get;

h = 7/19.6

h = 0.35 m

Thus, the value is 0.35 m

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Step-by-step explanation:

Given eqn

y=1/3x+4

1/3x-y+4=0

eqn of line perpendicular to the given eqn.,

x+1/3y+k=0

since the reqd. line contains the point (2,-3)

2+1/3 (-3)+k=0

2-1+k=0

k=-1

so

x+1/3y-1=0

1/3y=1-x (in slope intercept form)

The amount of money spent by Jose on the purchase of Hotdogs is, $6.325

The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.

Formula for percentage;

Percentage = (present quantity/whole quantity)×100

Given that,

At the baseball game,

José bought 2 hotdogs at a cost of 2.75 each,

He also gave the vendor a 15% tip,

Amount spent = ?

15% of total cost of  hotdogs = 2x2.75x15/100

                                               =  0.825

Amount spent =  Price of 2 hotdogs + Tip

                        =  5.5  + 0.825

                        =   6.325

Thus, the total amount spent $6.325

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The graph of the inequalities y ≥ (1/3)x - 2 and y ≤ -4x - 2 is attached

An equation is an expression that shows the relationship between two or more numbers and variables.

The slope intercept form of a line is:

y = mx + b

where m is the slope and b is the y intercept

Inequalities are expressions that show the non equal comparison of two or more numbers and variables

Given the inequalities:

y ≥ (1/3)x - 2

and:

y ≤ -4x - 2

The graph of the inequalities are attached

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Answer:

3/2

Step-by-step explanation:

(a) The first three terms, in ascending powers of x, of the binomial expansion of (2 + kx)² are:

(2 + kx)² = 2² = 4

(2 + kx)² = 2 * 2 * kx = 4kx

(2 + kx)² = 2 * k² x² = 4k² x²

(b) If the coefficient of x is 6 times the coefficient of x, then 6 = 4k. Therefore, k = 6/4 = 3/2.

Jack will require 6 tsp of baking powder if he uses 9 c of flour.

Given: Jack's pancake recipe calls for 3 cups of flour and 2 teaspoons of baking powder.

The amount of baking powder required if Jack uses 9 c of flour is to be determined.

Solution:

For 3 c of flour, 2 tsp of baking powder is required

2/3 tsp of baking powder is required for 1 cup of flour.

We must now determine how much baking powder to use with 9 cups of flour.

2/3X9 tsp of baking powder is required for 9 cups of flour.

= 6 tsp

Jack will therefore require 6 tsp of baking powder if he uses 9 c of flour.

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The equivalent fraction is used such that operations like addition and subtraction can be done on fractions that don't have a common denominator.

Equivalent fractions are those fractions that reflect the same value despite having numerators and denominators that differ.

According to equivalent fractions, two or more fractions are considered to be equal if, following simplification, both provide the same fraction.

In their most basic form, all equivalent fractions are reduced to the same fraction. The equivalent fraction is used to enable operations on fractions without a common denominator, such as addition and subtraction.

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Answer:

Area = 4ab - 2(ab-b^2) - ab - ab

simplified version: 2ab -2(ab-b^2)

Step-by-step explanation:

- instead of finding the area of shaded region, we can take a different appraoch. We can subtract the non-shaded region from the overall rectangle because white triangles are easier to measure.

area of rectangle is = length * base

= 2b * 2a

=4ab

1. Area of Left white triangle = 1/2 (base)(height)

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

=1/2 (4ab-4b^2)

=1/2 4(ab-b^2)

=2(ab-b^2)

2. Area of bottom right triangle= 1/2 (base)(height)

=1/2 (2a)(b)

=ab

3. Area of Top Right triangle: 1/2 (base)(height)

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

=1/2 (b)(2a)

=ab

Area of grey triangle = area of rectangle - area of triangle 1 - area of triangle 2 - area of triangle 3

Area = 4ab - 2(ab-b^2) - ab - ab

Area = 4ab -2(ab-b^2) - 2ab

Area = 4ab - 2ab -2(ab-b^2)

Area = 2ab -2(ab-b^2)

In the right-angled triangle, the value of x is 16.7 degree.

In the given right-angled triangle, the angle x can be determined using the trigonometric function of tangent.  As length of the two legs is 3 feet and 10 feet, and the angle between hypotenuse and the 10 feet leg is x. In a right-angled triangle, the tangent of an angle is the ratio of opposite side to adjacent side. Hence,

Tan Ɵ = Opposite side/Adjacent side

As Ɵ = x, opposite side = 3ft, and adjacent side = 10 ft,

Tan x = 3/10

Tan x = 0.3

x = Tan^(-1) (0.3)

x = 16.7 degree

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Based on the scatter plot below, better prediction for x when y = 42 is 53.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed. A scatter plot is a collection of dots drawn on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the amount, if any, of correlation between the values of observed quantities or events. Scatter plots are used to demonstrate how much one variable affects another by plotting data points on a horizontal and vertical axis. Each row in the data table is represented by a marker, the location of which is determined by the values in the columns.

Here,

The scatter plot below shows that the better estimate for x when y = 42 is 53.

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Answer:

Nykai's position in relation to the ocean surface is 13.6 meters. She started 10 meters below the surface, swam down 6.1 meters deeper, and then swam up 2.5 meters. Therefore, her position in relation to the ocean surface is 10 - 6.1 + 2.5 = 13.6 meters.

Step-by-step explanation:

Answer:

x = 1

y = -1

Step-by-step explanation:

y = 3x + 4y

3x + 3y = 0

So, we have 2 equations that are

3x + 3y = 0

x + 2y = -1

Times the second equation by -3

3x + 3y = 0

-3x - 6y = 3

-3y = 3

y = -1

Now put -1 in for y and solve for x

x + 2(-1) = -1

x - 2 = -1

x = 1

Let's check

1 + 2(-1) = -1

1 - 2 = -1

-1 = -1

So, x = 1 and y = -1 is the correct answer.

The matrix D is important because it is the diagonal representation of the matrix A, which makes it easier to work with and understand.

When diagonalizing a matrix, the goal is to find a diagonal matrix (D) that is similar to the original matrix (A). This means that the matrix D will have the same eigenvalues as the matrix A and will be represented in a more simplified form.

To find the matrix D, you must first find the eigenvalues of the matrix A. These eigenvalues can be found by solving the characteristic equation, which is found by setting the determinant of the matrix (A - λI) to zero, where λ is the eigenvalue and I is the identity matrix.

Once the eigenvalues are found, you can then find the eigenvectors, which are non-zero vectors that satisfy the equation

=> Av = λv,

where v is the eigenvector.

Once you have both the eigenvalues and eigenvectors, you can then arrange them into the matrix D, where the eigenvalues are on the main diagonal and the eigenvectors are the columns.

To make sure that D is diagonal, you may need to scale the eigenvectors so that the entries are integers. This is called normalizing the eigenvectors.

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Answer:

7 hours.

Step-by-step explanation:

This is a rate problem. We can start by using the formula: Rate x Time = Quantity.

The rate at which the cistern is filled is the quantity of water in the cistern divided by the time it takes to fill it. So, the rate at which the cistern is filled is 1 (the cistern is full) / 6 hours = 1/6 cistern/hour.

Similarly, the rate at which the cistern is emptied by the leak is 1 (the cistern is full) / the time it takes to empty it. So, the rate at which the cistern is emptied by the leak is 1 (the cistern is full) / 7 hours = 1/7 cistern/hour.

Since we know the rate at which the cistern is filled and the rate at which it is emptied, we can find the time it takes for the cistern to be emptied by dividing 1 (the cistern is full) by the rate at which it is emptied.

Therefore, the cistern will be emptied in 1 / (1/7 cistern/hour) = 7 hour.

Total integers between 30 and 50, inclusive, and 21 - 5 = 16 integers that are not possible total scores.

For a score of 30, the number of correct answers would be 6 (30 / 5), and for a score of 50, the number of correct answers would be 10.

Thus, the possible number of correct answers is between 6 and 10, inclusive. So, the possible total scores are [30, 35, 40, 45, 50].

Therefore, there are 50 - 30 + 1 = 21 total integers between 30 and 50, inclusive, and 21 - 5 = 16 integers that are not possible total scores.

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The news article related to a current, specific U.S. trade barrier issue is given below.

Trade barriers are government-induced restrictions on international trade.The barriers can take many forms, including the following:

Tariffs,Non-tariff barriers to trade, Import licenses, Export licenses,Import quotas, Subsidies, Voluntary Export Restraints, requirements, Embargo, Currency devaluation, Trade restriction.

Trade barriers such as tariffs raise prices and reduce available quantities of goods and services for U.S. businesses and consumers, that lead to lower income, reduced employment, and lower economic output.

An increase in U.S. trade barries may also result in a decline in international trade in the United States.

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(2, 14) is not a solution to the system of equations.

An equation is a mathematical statement consisting of an expression or a system of expressions that states equality or equivalence between two values. Equations are typically used to describe relationships between different variables, such as x + 2 = 4. Equations can also be used to solve for an unknown value, such as x = 4 − 2.

(2, 14): No, this is not a solution to the system of equations.
When we plug in x = 2 and y = 14 into the first equation,
we get -3(2) + 8 = 2,
which does not equal 14.
When we plug in x = 2 and y = 14 into the second equation,
we get 6(2) + 2(14) = 28,
which does not equal 16.
Therefore, (2, 14) is not a solution to the system of equations.

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Answer:

first statement

Step-by-step explanation:

each day breakfast is longer

1862 are the number of wistles that did not pass.

percentage, a relative value indicating hundredth parts of any quantity.

Given that out of 9799 wistles that a company manufactured

19% were rejected for shipment to stores because they did not pass the quality controll standards of the company.

We have to find the number of wistles that did not pass

To find this we have to find 19% of 9799

19/100×9799

0.19×9799

1861.81

Hence, 1862 are the number of wistles that did not pass.

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As per the angle of two arc minutes, the diameter is 16.67 meters.

The term diameter in math is known as a straight line passing through the center of a figure or body

Here we know that a circular object 1000 meters away subtends an angle of two arc minutes.

Here we know that that 1 minutes of arc is 60 seconds in other word it can be written as 1/60 minutes.

So for 2 minutes it can be written as

=> 2 x 1/60 = 1/30

Here we have know that the object is 1000 meters away, then the diameter is calculated as,

=> 1000/2 x 1/30

=> 500/30

=> 16.67

Therefore option (d) is coorect.

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The solution for each right triangle are:

(a) BC = 13.9 units, AB = 11.9 units

(b) XZ = 17.5 units

Trigonometry is the branch of mathematics that deals with the relationship between ratios of the sides of a right-angled triangle with its angles

(a) Using trigonometric ratio

sin 31.2° = 7.2/BC   (Sine = opposite/hypotenuse)

BC = 7.2/sin 31.2°

BC = 13.9 units

tan 31.2° = 7.2/AB (Tan = opposite/adjacent)

AB = 7.2/tan 31.2°

AB = 11.9 units

(b) XZ = √(14.4² + 10.0²)     (Pythagoras theorem)

XZ = 17.5 units

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Answer:

If Maria uses 2 parts cream and 3 parts milk, then for every 2 parts of cream, she uses 3 parts of milk.

Since she uses 8 liters of cream, we can find the total volume of mixture by finding the equivalent volume of milk that she used.

To find the equivalent volume of milk, we multiply the volume of cream by the ratio of milk to cream:

8 liters * (3 parts milk) / (2 parts cream) = 12 liters

So Maria used 8 liters of cream and 12 liters of milk for a total volume of 20 liters.

At t = ±0.6 seconds its velocity will be zero.

When an object is moving, its velocity serves as a measure of how quickly its location is changing as it is seen from a given point of view and as time is measured using a specific unit of measurement.

The velocity of a particle is the derivative of its position with respect to time, so to find the velocity we need to take the derivative of x with respect to t.

dx/dt = 20 - 15t^2

To find when the velocity is zero, we set dx/dt = 0 and solve for t:

0 = 20 - 15t^2

15t^2 = 20

t^2 = 20/15

t = ±√(20/15)

So, the velocity is zero at approximately t = ±0.6 seconds.

Correct Question :

a particle's position is given by = 20t − 5t^3 meters. at what time is its velocity zero? give your answer to the nearest unit.

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According to trigonometry, the value of sin y cos x.

The term called trigonometry is defined as the type of mathematics that deals with the relationship between the sides and angles of triangles.

Here we know that the function is written as

=> sin x coy y

where r [0, 1/2] [0, 1/2]

Here by Using Fubini’s theorem we can write this as an iterated integral to get,

=> [tex]\int\limits^{1/2}_0\int\limits^{1/2}_0 {sinxcosy} \, da[/tex]

Here the Fubini's theorem states that  the double integral over a region is equal to an iterated integral, which is computed in a similar manner with definite integrals of functions of single variable.

When we integrate the expression, then we get

=> [tex]\int\limits^{1/2}_0 {cos(1+y)sin(1+x)} \, da[/tex]

Again we have to integrate this one, then we get the value as,

=> sin y cos x.

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The best estimate of the area of the figure given is 13 square units. The solution has been obtained by using the counting squares method.

What is counting squares method?

The number of squares inside the shape are counted in order to determine the area.

We are given a figure which has a number of squares enclosed in it.

So, the area of the figure = Number of squares enclosed

Area = 11 complete squares + 4 half squares

Area = 11 complete squares + 2 complete squares

Area = 13 square units

Hence, the best estimate of the area of the figure given is 13 square units.

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Five million four thousand three hundred can be written in standard form as 5,004,300.

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Answer:

The number five million four thousand three hundred can be written in standard form as `5,004,300`. In scientific notation, it can be written as `5.0043 x 10^6`.

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The box plot of the  the gender of the pandas in the sample is illustrated below.

The term box plot in math is defined as  a chart tool used to quickly assess distributional properties of a sample and the so-called box-and-whiskers plot shows a clear indication of the quartiles of a sample as well of whether or not there are outliers.

Here we have given that Male pandas weigh, on average, between 80kg and 140kg, and females weigh, on average, between 70kg and 120kg.

The the data for the box plot is written as,

=> 70, 80, 120 and 140.

By using this data we have plotted the box plot for the gender of the pandas in the sample.

And we have predicted the following values through it.

Minimum =70

Q1=75

Median =100

Q3=130

Maximum =140

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Answer:

f(n) = 32 - 8n

Step-by-step explanation:

24, 16, 8, 0

f(n) = 24 - 8 x (n-1)

f(n) = 32 - 8n