Suppose that Amanda raises chickens whose eggs have a mean weight of 57 grams and a
standard deviation of 6 grams. Her friend Bernardo also raises chickens, and their eggs have a
mean weight of 54 grams and a standard deviation of 8 grams.
They decide to have a contest where they'll each randomly select 60 of their eggs, calculate the
mean weight, and look at the difference between their sample means (A - TB).
What are the mean and standard deviation (in grams) of the sampling distribution of TA - TB?

The constant of proportionality is the number that is multiplied by the variable in the equation. In the equation y=7x, the constant of proportionality is 7.

Step 1: Identify the equation: y=7x

Step 2: Determine what the constant of proportionality is: The constant of proportionality is 7.

Step 3: Calculate the value of the constant of proportionality: The constant of proportionality is 7.

The constant of proportionality is a number that is multiplied by the variable in an equation. For example, in the equation y=7x, the constant of proportionality is 7. This means that for every unit increase in x, y will increase by 7. To calculate the constant of proportionality, simply identify the equation and determine what number is multiplied by the variable. In this case, the number is 7. Consequently, 7 is the constant of proportionality. The constant of proportionality is an important concept in mathematics and is used to calculate the relationship between variables in equations. Knowing the constant of proportionality can help make equations easier to solve and understand.

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An equation that models the volume, V, of the cement in the container in terms of h is V = π[tex]r^2[/tex]h. The time at which the volume is 80π cubic feet is 6 minutes.

In the given question, we have to write an equation that models the volume, V, of the cement in the container in terms of h, then use the equation to determine the time at which the volume is 80π cubic feet.

The given radius r = 4 feet

Rate of filling the cylinder = 10 inches/minutes

Firstly we convert inches into feet.

As we know that;

1 inches = 1/12 feet. So

Rate of filling the cylinder = 10/12 feet/minutes

Rate of filling the cylinder = 5/6 feet/minutes

Height (h) in time 't' minutes = h = 5/6 t

Volume after t minutes

V = π[tex]r^2[/tex]h

Now putting the values

V = [tex]\pi\times(4)^2\times\frac{5}{6}t[/tex]

V = [tex]\pi\times16\times\frac{5}{6}t[/tex]

V = [tex]\frac{40\pi}{3}t[/tex]

As given that volume is 80π cubic feet.

Now, V = 80π

80π = [tex]\frac{40\pi}{3}t[/tex]

Multiply by 3 on both side, we get

240π = 40πt

Divide by 40π on both side, we get

t = 240π/40π

t = 6 minutes

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The cost of a sixty minute tape is $11.40 and the cost of a ninety minute tape is $1.60.

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Yes, the survey data is biased.

The survey data is biased because the sample group lacks inclusivity.

Bias is a statistical word that means a systematic deviation from the actual value. It is a sampling method that may show some serious problems for the researcher as a less increase cannot reduce in sample size.

In a biased sample, one or more parts of the population are favored over others, whereas in an unbiased sample, each member of the population has an equal chance of being selected. We also saw that a representative sample is a subset of the population that reflects the characteristics of the larger group.

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Answer:

i wish i could help but i never learned that

Step-by-step explanation:

The situation can be modeled with the linear function:

f(x) = $30*x + $100

Evaluating that, we can see that after two years you will pay $820.

Here we know that you buy a gym membership for $100 plus $30 per month.

So, the cost after x months can be modeled by the linear function:

f(x) = $30*x + $100

Where x is the number of months and f(x) is the amount of money that you pay after x months.

We want to find how much you will pay after 2 years, there are 24 months in two years, then we will get:

f(24) = $30*24 + $100 = $820

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Answer:

Step-by-step explanation: 500

The perimeter of the triangle is given by an expression 18m³ + 2m² - m

Consider the following diagram.

In this question we have been given a triangle.

The sides of the triangles are represented by a mathematical expressions

(5m³ + 3m² - 2m), (8m³ - 4m² + 3m) and (5m³ + 3m² - 2m)

From given expression we can observe that, there are two sides with expression 5m³ + 3m² - 2m.

This means, the triangle must be an isosceles triangle.

We know that the formula for the perimeter of isosceles triangle.

P = 2a + b

where, a = side and b = base of isosceles triangle

Using above formula the perimeter of given triangle would be,

P = 2(5m³ + 3m² - 2m) + (8m³ - 4m² + 3m)

P = (10m³ + 6m² - 4m) + (8m³ - 4m² + 3m)

P = (10 + 8)m³ + (6 - 4)m² + (-4 + 3)m            .....(combine like terms)

P = 18m³ + 2m² - m

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For the graphs you use the the method of

Rise(Up) / Run(Down) = Slope

for exmaple the first graph

The rise is 4 (up) and the run (down) is 6 so you divide that being 2/3 the slope.

For the secound part you use the formula

m= rise/run = y2-y1/x2-x1

for exmaple for number 7

(4,9) and (1,6) being (x1, y1) and (x2,y2)

so your rise is 3 and your run is 3 that being 3/3 = 1 so your slope is 1 or m=1

Answer:

N = X^a × Y^b × Z^c

Step-by-step explanation:

C 3.6  = 1.5 3.6x=1.53, point, 6, x, equals, 1, point,5.

An equation is a mathematical statement that states that two expressions are equal. It is composed of two expressions, one on each side of an equals sign, and can be used to solve for unknown values. Equations can involve numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They are used to solve a wide variety of mathematical problems.

The equation to solve for the price of a box of generic cereal is 3.6/1.5 = x, where x is the price of the box of generic cereal. By dividing 3.6 by 1.5, the price of a box of generic cereal is determined to be $2.40.

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Answer:

20x-3/15=8

We move all terms to the left:

20x-3/15-(8)=0

determiningTheFunctionDomain

20x-8-3/15=0

We multiply all the terms by the denominator

20x*15-3-8*15=0

We add all the numbers together, and all the variables

20x*15-123=0

Wy multiply elements

300x-123=0

We move all terms containing x to the left, all other terms to the right

300x=123

x=123/300

x=41/100

Answer:

x = 0.41

Step-by-step explanation:

20x-3/15=8

20x - 1/5 = 8

20x - 1/5 = 40/5

20x = 41/5

20x = 8.2

x = 0.41

The SAS (side-angle-side) theorem of congruence states that if two sides and their included angle in one triangle are exactly equal to the corresponding two sides and their included angle in another triangle,

prove that the triangles are congruent using SSS or SAS?

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.

Answer: 3rd and 4th

Step-by-step explanation:

The inequality sign is reversed when both sides are multiplied by a negative number, so the third and fourth ones symbols will be reversed.

Statistics, or what we say to as ‘Stats’ in general parlance, is fully a useful branch of mathematics that can help in analyzing and solving mass everyday problems.

It has a broad range of applications in various fields, right from medicine, and engineering, to sports, etc. So, let us know more about it.

The benefits of statistics include collecting data in the form of numerical figures, analyzing and interpreting the data, grouping and presenting the data, and arriving at novel information organized from the data.

in the branch of mathematics, statistics is a very main idea to learn.

Population mention to a group of people or objects as a whole, while a sample is a subset of the whole. By examine samples of a population, you can learn more about that population.

A branch of statistics also deals with analyzing certain outline in a macroscopic way where we work with a given population and a sample.

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The marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500

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

The relation between the market price and the discount is

y=0.5x

Which is the required relationship between the Marked Price and the Discount.

We have to find the marked price when a customer gets a discount of 3250

As discount is 3250

In the graph is represent the point F ( 3250, 0)

If we draw a line parallel to Y axis and passing through the point F( 3250, 0) then it intersects the line y = 2x at B( 3250 , 6500)

Accordingly we get the point A ( 3250, 6500)

Hence the Marked Price = 6500

Manually it can be checked

As discount is 3250

x = 3250

So y = 2 × 3250 = 6500

(2) We have to find the discount when the marked price is 2500

As marked price is 2500

In graph it represent the point C( 0, 2500)

If we draw a line parallel to X axis and passing through the point C( 0, 2500) then it intersects the line y = 2x at B( 1250 , 2500)

Accordingly we get the point B( 1250 , 2500)

Hence the discount = 1250

Manually it can be checked

As marked price is 2500

y = 2500

So x = 2500 ÷ 2 = 1250

Hence,  the marked price when a customer gets a discount of 3250 (from graph) and the discount when the marked price is 2500

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Answer:

1 gallon

Step-by-step explanation:

using 1.5 gallons per hour for 6 hours equals their product, which is 9

so if there was originally 10 gallons, after driving 6 hours, there would be 1 gallon remaining

The positive and negative effects that technology has on an economy is that it increases productivity and leads to impact on income distribution through making difficult for workers to employed respectively.

This is referred to as the application of scientific knowledge for practical purposes and it helps to make work easier and faster thereby resulting in an increase in the productivity of various sectors in the economy.

The disadvantage is that it makes it difficult for workers to be employed because work which can be done and paid for are now done using various types of machines thereby leading to a decrease in income distribution in the economy.

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Yes, it is possible to solve 30 60 90 triangles if only a hypotenuse is given. The 30, 60, and 90 are special right triangles.

30,60,90 special right triangles because there is a relation between height, base, and the hypotenuse

In this type of triangle, the hypotenuse is double of height.

Let's assume the hypotenuse given = [tex]x[/tex]

therefore, height = [tex]\frac{x}{2}[/tex]

and the base is [tex]\sqrt{3}[/tex] times the height

so, base = [tex]\frac{x}{2}\sqrt{3}[/tex]

Points to be noted:

the opposite side of [tex]30^o[/tex] is height, the opposite side of [tex]60^o[/tex] is base, and the opposite side of [tex]90^o[/tex] is the hypotenuse.

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Based on the graph, it looks like the only y-value not used by the graph is –6.

So, the range would be (-infty, -6) U (-6, infty).

The slope between the points (-6, 6) and (-6, -1) is -infinity.

The slope of a line is the change in the dependent variable with respect with the change in the independent variable.

Therefore, the slope is define as rise over run.

Hence let's find the slope between the points (-6, 6) and (-6, -1)

Therefore,

slope = y₂ - y₁ / x₂ - x₁

x₁ = -6

x₂ = -6

y₁ = 6

y₂ = -1

Therefore,

slope = -1 - 6 / -6 + 6

slope = -7 / 0

slope = - infinity

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Answer: A. -2x² + 16x -29

Step-by-step explanation:

f(x) = x-4

g(x) = -2x² + 3

g(f(x)) = -2( x² + 16 -8x) + 3

         = -2x² - 32 + 16x + 3

         = -2x² + 16x -29

Answer:

0.34 < 0.8

Step-by-step explanation:

On compares the decimal numbers 0.34 and 0.8 the correct math statement is 0.34 < 0.8.

To compare the decimal numbers 0.34 and 0.8 correctly, we need to determine which one is greater or if they are equal. One way to do this is by aligning the decimals and comparing the digits from left to right.

0.34 and 0.8 have a different number of decimal places. To make the comparison easier, we can add a trailing zero to 0.34:

0.34 ( or 0.340 ) and 0.8

Now, we can compare them:

0.340 < 0.8

So, the correct math statement is: 0.34 < 0.8.

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Answer:

16 degrees, I believe

Step-by-step explanation:

You would use an inverse sine, if I'm not mistaken. You have the O (opposite) and the H (hypotenuse). With that you can do SOH - or sine. But since you want the angle, you do an inverse. So you do the inverse sine of O over H, or the inverse sine of 5/18. It gives you 16.128 degrees or so.

The two towers sum up to one at a 90-degree angle because they are both tall.

A cathedral with two main towers—a stone tower on its southern side and a copper (blue-green)-capped tower on its northern side—is depicted in the Maps image provided as the answer to the question.

Viewing both the north and south tower photos.

Because both towers are tall, they add up to one at a 90-degree angle.

The sine, cosine, and tangent functions are the three trigonometric ratios with which people are most familiar. Consider a right-angled triangle with the angle of interest and the triangle's sides to define the cosine function of an acute angle.

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7.13 square inches is the area of the circle greater than the area of the square

area of a circle is pir^2 = pi*2.5^2

side of the square by Pythagoras

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

5^2 = 2x^2

x^2 = 12.5 = area of the square

area of circle = pi * 6.25 = 19.63

difference in areas = 19.63 - 12.5 = 7.13 sq ins

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Answer: bro what question is it

Answer:  The x-intercept is when y is equal to 0, so we can find it by setting y to 0 and solving for x:

0 = 2/3x + 4

3x = -4

x = -4/3

So the x-intercept is (-4/3, 0)

The y-intercept is when x is equal to 0, so we can find it by setting x to 0 and solving for y:

3y = 2/3 * 0 + 4

3y = 4

y = 4/3

So the y-intercept is (0, 4/3)

Step-by-step explanation:

For Jordan's pet grooming business to break even, he must groom 38 pets each month.

The break-even point describes a sales situation where the total costs equal the total revenue.

At the break-even point, there is no profit or loss.

Cost function: C = $15p + $1520

Revenue function: R = $55p

The total cost per month = C

The total revenue each month = R

The number of pets Jordan grooms monthly = p

To break even, C must be equal to R:

$15p + $1520 = $55p

15p + 1520 = 55p

-40p = 1,520

p = 38

Check:

Total costs = $15p + $1520

= $15(38) + $1520

= $570 + $1520

= $2,090

Total revenue = $55p

= $55(38)

= $2,090

Thus, grooming 38 pets each month, the total costs and revenue are equal to $2,090, respectively.

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Answer: (7, -4)

Step-by-step explanation: To find the midpoint of a line segment, We take the average of the X-coordinates and the Y-coordinates of the two endpoints.

Given points A(4,-2) and B(10,-6), the midpoint can be found using the following steps.

1. Take the average of the X-coordinates: (4+10)/2=7.

2 Take the average of the Y-coordinates: (-2 + -6)/2=-4.

So the midpoint of the line segment joining A and B is (7,-4).