Question 2 (10 pts.) Six measurements are taken of the thickness of a piece of sheet metal. The measurements (in mm) are: 1.316, 1.308, 1.321, 1.303, 1.311, and 1.310. Should the curve be used to find

Answer:

Step-by-step explanation

Substitute 2y-1 for x in the second equation:

7x + 5y = -66

7(2y-4) + 5y = -66

then solve for y:

14y - 28 + 5y = -66

19y = -38

y = -2

Substitute -2 for y in the first equation:

x  = 2y - 4

x = 2(-2) - 4

x = -8

The lines intersect at (-8,-2)

Answer: 17500

Step-by-step explanation: 7000 + 15000 + 22000 + 23000 +38000/ 6

The difference between a collection of numbers' highest and lowest values is known as the range.

The mean(average) salary exists 17500.

The range salary exists 35000.

Range, which shows statistical dispersion, is the size of the smallest interval in descriptive statistics that encompasses all the data. It is best suited to capturing the dispersion of tiny data sets because it only depends on two observations.

The difference between the highest and lowest values for a given data collection is the 35000in statistics. For instance, the range will be 10 - 2 = 8 if the given data set is 2, 5, 8, 10, and 3. As a result, the range may alternatively be thought of as the distance between the highest and lowest observation.

The salaries of six employees are $3000, $7000, $15,000, $22,000, $ 23,000, and $38,000.

a) Mean = Sum of terms / Number if terms

substitute the values in the above equation, we get

= 7000 + 15000 + 22000 + 23000 + 38000/ 6

= 17500

Therefore, the mean(average) salary exists 17500.

b) The maximum is $38,000 and the minimum is $3000 then the range exists

Range = maximum - minimum

substitute the values in the above equation, we get

Range = $ 38,000 - $ 3000

= $ 38,000 - $ 3000

= $ 35000

Therefore, the range salary exists 35000.

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Answer:

Look at the lightest loaf of bread. It weighs 22 1/3 oz. The heavist loaf weighs 24 1/2. Subtract 24 1/2 and 22 1/3. Then, if the answer to that is 1 1/2 ounces then you agree. If it is not, then disagree. Then, add up all of the weights of the bread and find the answer.

Answer:

15, - 7, 8, - 24

Step-by-step explanation:

1

f(4) = \(\frac{1}{2}\) × 4 + 13 = 2 + 13 = 15

2

f(5) = \(\frac{3}{5}\) × 5 - 10 = 3 - 10 = - 7

3

f(- 1) = (- 1)² + 7 = 1 + 7 = 8

4

f(2) = 3(2)³ - 12(2)² = 3(8) - 12(4) = 24 - 48 = - 24

Answer:

Step-by-step explanation:

6

Answer:

Step-by-step explanation:

The ratio of the corresponding sides is equal. Then the triangle ΔSTU is similar to the triangle ΔWVU which is ΔWVU ~ΔSTU.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.

Against Basic Proportionality Theorem: A line is similar to a third side if it divides any two aspects of a triangle with the same fraction.

The ratio of the sides is given as,

SU / UW = 9 / 6

SU / UW = 1.5

TU / UV = 6 / 4

TU / UV = 1.5

The ratio of the corresponding sides is equal. Then the triangle ΔSTU is similar to the triangle ΔWVU which is ΔWVU ~ΔSTU.

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The investment in the government bond has the lowest risk. Since it is not dependent on the market situation.

What is real estate?

Real estate is any immovable property of this kind that has a stake in a piece of land, a building, or housing in general. It also includes the natural resources on the land, such as water, crops, minerals, and minerals.

What is mutual fund?

A mutual fund is an investment vehicle that is professionally managed and collects money from a number of investors to buy securities. The phrase is frequently used in the US, Canada, and India, while open-ended investment companies in the UK and SICAVs in Europe are comparable global structures.

Stock market: One of the finest methods to make money is through stock investments. Any investor can successfully use stocks to attain their long-term financial goals with a smart investment plan and data-driven judgements. Every investment carries a certain level of risk.

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$390 represent 100%. To find what percentage $7.80 represent, we can use the next proportion:

Solving for x,

The sales tax rate is 2%

a) The rectangular equation is y = −16x^2 / 152^2 + x tan 60° + 8. It is a parabolic path. b) The rocket travels approximately 917.7 feet horizontally before hitting the ground.

b) The equation y = −16x^2 / 152^2 + x tan 60° + 8 models the path of the rocket where y is the height in feet of the rocket above the ground and x is the horizontal distance in feet of the rocket from the point of launch.

To find the total fight time, use the formula t = (−b ± √(b^2 − 4ac)) / (2a) with a = −16/152^2, b = tan 60°, and c = 8. The negative solution is not possible, so the rocket's total fight time is approximately 9.43 seconds.

The horizontal distance the rocket travels is found by evaluating x when y = 0, which is when the rocket hits the ground.

0 = −16x^2 / 152^2 + x tan 60° + 8x = (−152^2 tan 60° ± √(152^4 tan^2 60° − 4(−16)(8)(152^2))) / (2(−16))≈ 917.7 feet,

The rocket travels approximately 917.7 feet horizontally before hitting the ground.

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Answer:

y=2x+1

Step-by-step explanation:

Given: Diameter of the cone = 18 cmHeight of the cone = 15 cmFormula used:The formula used to calculate the volume of a cone is given below: V = (1/3) πr²hWhere, V is the volume of the cone, r is the radius of the cone, h is the height of the cone and π = 3.14.

Radius of the cone = Diameter of the cone/2= 18/2= 9 cmVolume of the cone is given by: V = (1/3) πr²hSubstituting the given values, we get:V = (1/3) × 3.14 × (9)² × 15V = (1/3) × 3.14 × 81 × 15V = 113.1 cm³Therefore, the volume of the cone is 113.1 cm³.

Note: The calculation of the radius of the cone is important to calculate the volume of the cone. In this problem, the height of the cone and the diameter of the cone are given. Therefore, it is necessary to calculate the radius of the cone to solve the problem.

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The probability that a sequence will contain exactly one 0 is 3/8.

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1,

We should consider sequences of three digits, where each digit is either 0 or 1. A sequence has three places .

where each place has two possibilities, i.e., 0 or 1, so, for the multiplication rule

we know that the sample space will have (2)(2)(2) = 8 sample points.

Specifically, the sample space is

S = {111, 110, 101, 011, 100, 010, 001, 000},

There are three sequences with exactly one 0.

Therefore the probability that a sequence will contain exactly one 0 is 3/8.

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Answer:

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Step-by-step explanation:

After ten years, you will have approximately $34,448.12.

To calculate the future value of an amount invested at a certain interest rate, we can use the compound interest formula:

Future Value = Present Value * (1 + interest rate)^number of periods

In this case, we will receive $15,500 in three years and then invest it for seven more years at a 9% interest rate.

Step 1: Calculate the future value after three years.

Future Value after three years = $15,500 * (1 + 0.09)^3

Step 2: Calculate the future value after ten years (three years plus the additional seven years).

Future Value after ten years = Future Value after three years * (1 + 0.09)^7

Let's calculate the future value using the given values:

Future Value after three years = $15,500 * (1 + 0.09)^3

= $15,500 * (1.09)^3

= $15,500 * 1.295029

= $20,045.45

Future Value after ten years = $20,045.45 * (1 + 0.09)^7

= $20,045.45 * (1.09)^7

= $20,045.45 * 1.71899

= $34,448.12

Therefore, after ten years, you will have approximately $34,448.12.

It's important to note that this calculation assumes that the interest is compounded annually. If the interest is compounded more frequently (e.g., semi-annually or quarterly), the calculation would be slightly different.

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The statement, "number of customers entering a store between "9am" and noon, is an example of a discrete-random-variable." is True because the number of customers are finite.

The "random-variable" "number of customers entering the store between 9am and noon" is considered as an example of a discrete random variable.

A "discrete" random variable is defined as a variable that can take on only a finite or countable number of values, where the values are usually integers.

In this case, the number of customers entering a store can only take on integer values (0, 1, 2, 3, etc.), and there is a finite limit to the number of customers who could potentially enter the store during that time period.

Therefore, the statement is True.

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The corollary states that for every positive real number ε, there exists a positive integer n such that

The corollary of the Archimedean principle states that for any positive real number ε, there exists a positive integer n such that ε is greater than the reciprocal of n, i.e., ε > 1/n. In other words, there exists a positive integer n such that the fraction 1/n is smaller than any given positive real number ε.

To prove this corollary, we can assume that ε is a positive real number. By the Archimedean principle, there exists a positive integer m such that m > ε. Now, consider the positive integer n = ⌈1/ε⌉ + 1, where ⌈x⌉ denotes the ceiling function, rounding up x to the nearest integer.

We have:

1/ε < 1/(⌈1/ε⌉ + 1) ≤ 1/(1/ε) = ε.

Therefore, we can conclude that for any positive real number ε, there exists a positive integer n = ⌈1/ε⌉ + 1 such that ε > 1/n.

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Answer:

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Answer:

a. The sum of the interior angles of a regular polygon with n sides can be found using the formula (n-2) x 180 degrees. Using this formula, we know the sum of the interior angles of a pentagon is (5-2) x 180 = 540 degrees. Since the sum of the interior angles of a polygon increases by 180 degrees for each additional side, we can guess that the sum of the interior angles of a 17-gon would be (17-2) x 180 = 2700 degrees.

b. For concave polygons, the sum of the interior angles may not follow the same pattern as that of regular polygons. It is possible for the sum of the interior angles of a concave polygon to be greater or less than the sum of the interior angles of a regular polygon with the same number of sides. So, it is difficult to make an accurate guess without more information about the specific shape of the concave 17-gon.

c. The sum of the exterior angles of any convex polygon always equals 360 degrees because each exterior angle is supplementary to its adjacent interior angle. In other words, the exterior angle and the adjacent interior angle form a straight line, which is 180 degrees. Since there are n exterior angles in an n-sided polygon, the sum of all the exterior angles is n x 180 degrees. However, each exterior angle is counted once for each vertex, and there are n vertices, so we need to divide by n to get the total sum of exterior angles, which is (n x 180) / n = 180 degrees.

d. For a concave polygon, the sum of the exterior angles may be greater than or less than 360 degrees, depending on the shape of the polygon. In a concave polygon, some of the exterior angles will be greater than 180 degrees, which means that their adjacent interior angles will be less than 180 degrees. Since the sum of the exterior angles is equal to the sum of the adjacent interior angles, some of the exterior angles will need to be subtracted from 360 degrees to get the total sum of exterior angles. However, without more information about the specific shape of the concave polygon, it is difficult to make an accurate guess.

Answer:

a. The sum of the angle measures of the regular pentagon is 540 degrees, and the sum of the angle measures of the concave pentagon is 720 degrees. Both of these polygons have five sides. If we assume that the sum of the angle measures of a polygon with n sides is proportional to n, we can use the ratios of the number of sides in each polygon to make an estimate for the sum of the interior angles of a 17-gon. The ratio of the number of sides in a 17-gon to the number of sides in a regular pentagon is 17/5. If we multiply the sum of the angle measures of the regular pentagon by this ratio, we get an estimate for the sum of the angle measures of a 17-gon:

540 * (17/5) = 1836 degrees.

So, we would guess that the sum of the interior angles of a 17-gon is 1836 degrees.

b. We can use a similar reasoning as in part (a) to estimate the sum of the interior angles of a concave 17-gon. The ratio of the number of sides in a concave pentagon to the number of sides in a concave 17-gon is 5/17. If we multiply the sum of the angle measures of the concave pentagon by this ratio, we get an estimate for the sum of the angle measures of a concave 17-gon:

720 * (5/17) = 211.76 degrees.

So, we would guess that the sum of the interior angles of a concave 17-gon is 211.76 degrees.

c. The sum of the exterior angles of a convex polygon always equals 360 degrees because the exterior angle at each vertex of the polygon is equal to the sum of the two adjacent interior angles. If we add up all of the exterior angles of a polygon, we are essentially adding up all of the vertex angles twice (once for each adjacent exterior angle). Therefore, the sum of the exterior angles of a convex polygon is equal to 2 times the sum of the interior angles. Since the sum of the interior angles of any n-sided polygon is (n-2)*180 degrees, the sum of the exterior angles is:

2 * (n-2) * 180 = 360(n-2) degrees.

d. It is not possible to make a generalization about the sum of the exterior angles of a concave polygon, because the sum of the exterior angles of a concave polygon can be greater than, less than, or equal to 360 degrees, depending on the polygon's shape. The sum of the exterior angles of a concave polygon can be greater than 360 degrees if the polygon has one or more reflex angles, which are angles greater than 180 degrees. In this case, the exterior angle at each vertex is less than the adjacent interior angle, so the sum of the exterior angles is greater than 360 degrees. On the other hand, if a concave polygon has no reflex angles, the sum of the exterior angles will be less than 360 degrees.

Step-by-step explanation:

Answer:

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Step-by-step explanation:

ferfrfvrgb rg bg bb

Answer:

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Answer:

Step-by-step explanation:

Sin(A) = a/c

Cos(A) = b/c

Tan(A) = a/b

Answer:

Solution given:

Trigonometic Ratio to the ratio of the sides. are.

SinA=a/c

CosA=b/c

TanA=a/b

Answer:

24x+48

Step-by-step explanation:

(3x+6)(8)

=8(3x+6)

=(8*3x)+(8*6)

=24x+48

Answer: 24x + 48

Step-by-step explanation:

The formula to find the are of a rectangle is A=LW. A being the total area, W being the width, or the value on the bottom (8), and L being length how tall the object is (3x+6).

First you must replace L and W, for their given values.

A= (L) (W)

A= (3x+6) (8)

Then, simply simplify by multiplying 3x+6 by 8

You would end up getting 24x + 48

Answer:

1 piece of UPS

Step-by-step explanation:

Here, we want to know the difference in the number of pieces handled at the different times

In 1995, amount handled = 1.8 * 10 = 18 pieces

In 2000, amount handled = 1.7 * 10 = 17 pieces

The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1

After translating the expression I got:

\( \frac{3}{4} x < 24\)

Once you cross multiply you should have the following expression:

\(x < 32\)

Then when you graph, remember it should be an open circle on the 32 and the direction of the arrow should be towards 0

Answer:

D

Step-by-step explanation:

just took the test

Answer: Stella would earn $184 in 23 hours.

Step-by-step explanation: First we need to find the unit rate so start by dividing by 9

\(\frac{72}{9} =8\\\frac{9}{9}=1\)

Now we know every hour Stella will earn $8. We can now multiply the amount for 1 hour by 23 to get the amount for 23 hours.

8x23=184

1*23=23

Now we can see that Stella would earn $184 for working 23 hours.

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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To create a 15% acid solution using a 10% solution and a 30% solution, you would need to mix 7.5 liters of the 10% solution with 2.5 liters of the 30% solution to obtain 10 liters of the desired 15% acid solution.

Let's assume you need to create 10 liters of the 15% acid solution.

To find the quantities of the 10% and 30% solutions needed, you can set up an equation based on the concentration of acid in each solution. Let's denote the amount of the 10% solution as x liters and the amount of the 30% solution as (10 - x) liters.

The equation can be set up as follows:

0.10x + 0.30(10 - x) = 0.15(10)

Simplifying the equation gives:

0.10x + 3 - 0.30x = 1.5

Combining like terms:

-0.20x = -1.5 + 3

-0.20x = 1.5

x = 1.5 / 0.20

x = 7.5

Therefore, you would need to mix 7.5 liters of the 10% solution with 2.5 liters of the 30% solution to obtain 10 liters of the desired 15% acid solution.

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The number of games that Chris sell is g/8 - 1/7

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

Using the above as a guide, we have the following:

Average = g/8

So, we have

Chris = g/8 - 1/7

Hence, the expression is g/8 - 1/7

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