Table of value Y=-2x+1

The percent change in the price of the lawnmower over the 2 years is -8.1%.

To find the percent change in the price of the lawnmower over the 2 years, we can use the formula:

percent change = (new value - old value) / old value * 100%

Plugging in the values given in the problem, we get:

percent change = (329.99 - 358.99) / 358.99 * 100%

percent change = -8.1%

Therefore, the percent change in the price of the lawnmower over the 2 years is -8.1%. Note that the negative sign indicates a decrease in price.

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Answer:

When an individual has little experience with a group, and the group is believed to be related to a particular behavior or attitude, this is known as stereotyping.

Step-by-step explanation:

Stereotyping refers to a systematic method of categorizing individuals on the basis of a single characteristic, such as age, gender, or race, and then using that classification to make broad assumptions about them. It is a broad generalization that is made about a particular category or group of people. Stereotyping is an unfortunate part of our society, but it is not something that can be prevented entirely.

The most obvious effect of stereotyping is that it causes people to be unfairly labeled and judged. This can lead to discrimination, as well as negative behavior and attitudes towards certain groups of people. Stereotyping can also limit people's opportunities, both personally and professionally. When people are stereotyped, they are often overlooked for jobs, promotions, and other opportunities that they might otherwise be qualified for.

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Two events that are collectively exhaustive are event 1: a value of 6 or more and event 2: a value of 7 or less.

These events are collectively exhaustive because the events cover the entire possible range of values of the dice rolls. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either 6 or less, or it is greater than 6. This means that the sum of the dice rolls is either 7 or more, or it is less than 7.

Another set of events that are collectively exhaustive are event 1: rolling an even number and event 2: rolling an odd number. These events are collectively exhaustive because the events cover the entire set of possible outcomes of rolling two dice. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either even or odd. This means that the sum of the dice rolls is not both even and odd at the same time.

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a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.

For visualizing the percentage distribution of different course subjects, a pie chart would be the most suitable type of chart. Pie charts are ideal for displaying the relative proportions of different categories or groups as slices of a circular pie. Each slice of the pie represents a proportion of the whole, which in this case would be the total time spent on all course subjects during homework sessions. The size of each slice will correspond to the percentage of time spent on each course subject. Therefore, a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.

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In linear programming, the feasible region is the set of all feasible solutions that satisfy the constraints of the problem. The feasible corner points are the extreme points of the feasible region, which represent the optimal solutions to the problem. In this case, we have four feasible corner points: (48,84), (0,120), (0,0), and (90,0).

To find the maximum possible value for the objective function, we need to evaluate the objective function at each of the feasible corner points and select the one that gives the highest value. The objective function is a linear combination of the decision variables and represents the quantity that we are trying to maximize or minimize.

Assuming that the objective function is in the form of z = ax + by, where x and y are the decision variables and a and b are constants, we can evaluate the objective function at each of the feasible corner points:

At (48,84): z = a(48) + b(84)

At (0,120): z = a(0) + b(120)

At (0,0): z = a(0) + b(0)

At (90,0): z = a(90) + b(0)

Since we don't have the values of a and b, we cannot calculate the maximum possible value of the objective function. However, we can compare the values of the objective function at each of the feasible corner points and select the one that gives the highest value.

Therefore, we can conclude that the maximum possible value for the objective function will be obtained at one of the feasible corner points: (48,84), (0,120), (0,0), or (90,0).

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Answer:

Step-by-step explanation:

102.5/80=

82

Answer: 82

Step-by-step explanation:

Move the percent 2 times to the right to get a decimal.

102.5% ——> 1.025

You’re dividing the part with the whole always to get the percent. So if we have the precent (converted into a decimal) and the whole. So we are finding the part. So to find the part we multiple 1.025 and 80.

You solve now. So 1.025 x 80 = 82

The volume of the container is 91125 cubic meters.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

A sphere is the most basic and typical form of a three-dimensional shape. A sphere's radius is the simplest parameter to measure. The radius of the sphere is used to determine its volume.

Given the edge of a cube is 45 meters.

The formula of volume is V = s³.

The volume of the container is

45³

= 91125 cubic meter.

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The empirical rule states that approximately 95% of the population lies within 2 standard deviations of the mean for a normal distribution, but you found that the z-scores that mark off the middle 95% of the standard normal distribution are -1.96 and 1.96. This does not represent a contradiction, and I will explain why is it so ?

The empirical rule, also known as the 68-95-99.7 rule, is a useful guideline to help us understand the proportions of data in a normal distribution. According to this rule, about 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. However, it is essential to note that the empirical rule is a simplified approximation.

On the other hand, the z-scores that you calculated, -1.96 and 1.96, are more precise values based on the actual standard normal distribution. These values come from a more accurate calculation using the cumulative distribution function (CDF) of the normal distribution, which gives the exact probability for any given range of z-scores.

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Answer:

Step-by-step explanation:

This is a combination problem because the order in which the flower displays are chosen does not matter. We can use the formula for combinations, which is:

nCr = n! / r!(n-r)!

Where n is the total number of items (in this case, 10 flowers displays) and r is the number of items we want to choose (in this case, 3 flower displays).

Plugging in the numbers, we get:

10C3 = 10! / 3!7!

= (10 x 9 x 8) / (3 x 2 x 1)

= 120

Therefore, there are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.

Answer:

There are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.

Hope this helps you buddy!!!!!!!!!!

To calculate the probability that at least 1 of 5 randomly selected American children (ages 3 to 5) is read to every day by someone at home.

To find the probability that none of the 5 children are read to, we can use the fact that the probability that a single child is not read to every day is 1 - 0.58 = 0.42. We can then use the multiplication rule to find the probability that none of the 5 children are read to, which is (0.42)⁵ = 0.0075. Finally, we can use the complement rule to find the probability that at least 1 child is read to every day, which is 1 - 0.0075 = 0.9925. Therefore, the probability that at least 1 of 5 randomly selected American children (ages 3 to 5) is read to every day by someone at home is 0.9925.

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Answer:

Step-by-step explanation:

To make this Cuboid you need to workout how many cubes are missing from this cuboid.

To get the cubes numbers you have to get the volume of this cuboid which is 3x4x3=36

So there is 36 cubes in this cuboid.

And then workout how many cubes are missing from this plan, front and side elevation.

Front Elevation 3x3=9

Side Elevation 4x3=12 then deduct 3 blocks from the left. Then deduct 4 blocks from right top corner which is 4 blocks.

3+4=7 missing blocks, then do this 12-7=5 Side has 5 added blocks fron the front.

Front 9 blocks Side 5 blocks. 9+5=14

So 36-14=22 ANSWER is 22 BLOCKS has been added.

According to the question, "Suppose we randomly select 5 cell-phone owners. What is the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating?"The formula for finding the probability of an event is:P(E) = number of favorable outcomes/number of total possible outcomes.The given data in the question states that 67% of cell-phone owners find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating.

Therefore, the probability of any cell-phone owner checking their phone when it is not ringing or vibrating is:P(E) = 67/100 = 0.67To find the probability of 5 cell-phone owners checking their phones when they are not ringing or vibrating, we have to use the multiplication rule of probability. [tex]P(E₁∩E₂∩E₃∩E₄∩E₅) = P(E₁) × P(E₂) × P(E₃) × P(E₄) × P(E₅)P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.67 × 0.67 × 0.67 × 0.67 × 0.67P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.2197[/tex]

Therefore, the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating is approximately 0.2197 or 22%.

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Answer:

x(6x^2 + 5)

Step-by-step explanation:

To factor the expression 6x^3 + 5x, we can first factor out the greatest common factor of the two terms, which is x. This gives:

x(6x^2 + 5)

We can see that 6x^2 + 5 cannot be factored any further using integer coefficients, so the final factored form of the expression is:

x(6x^2 + 5)

Answer:

To find how much greater 4/5 is than 3/4 we can turn them into decimal values:

4/5 = 0.8

3/4 = 0.75

0.8 - 0.75 = 0.05

4/5 is 0.05 or 1/20 greater than 3/4

Step-by-step explanation:

Lets assume this is a right triangle.

If you use pythagorean theorem, lets assume the tower is the longest line on the triangle.

If this is true, lets say that 9^2 (distance from end of slide to base of tower) + x^2 (length of slide) = 23^2 (height of tower)

we get the length of the slide is 21.2 meters.

Answer: 239

Step-by-step explanation:

Darius wrote 2 integers 256 and -17. The question is asking you to solve how much larger is 256 than -17. This means you will subtract 256 by -17 which will give you 239 (256-17). The answer remains positive because 256 is larger

Hope this helps

Answer: They are exactly 273 places away.

Step-by-step explanation:

If a number is larger than another number then you need to subtract it to get the distance. In this case, you look at the subtraction to see how far away they are.

Hope this helps!

Have a blessed day!

The value of h is 34.

What is the angle formed when two lines intersect?

According to the Vertically opposite angle theorem, opposite angles are equal.

So, h = 34.

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The amount of work (in foot-pounds) done in stretching a spring from its natural length to 0.8 feet beyond its natural length is 24.

so we have W=6lbs*(0.8ft-0.6ft)

=6lbs*0.2ft

=24ft-lbs.

Work is the measure of the amount of energy required to move an object over a certain distance, so to stretch the spring 0.8 feet beyond its natural length, 24 foot-pounds of work is done.

This can also be understood as the product of the force (6lbs) and the displacement (0.2ft). Work is a scalar quantity, meaning it only has magnitude and not direction.

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The expression that equals ∠BEC is 3x - 27, and the answer is B.

First, we find the measure of ∠BEC using the given information and the value of x. We get

Then, we use the fact that ∠AED is vertically opposite to ∠BEC, so ∠AED = ∠BEC = 63 degrees.

Finally, we need to find the expression among the given choices that equals 63 when x = 30.

Option A is too large, option C is too large, and option D is too small. Option B gives us

which matches the measure of ∠BEC. Therefore, the answer is B.

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Complete Question:

If the measure of BEC is (2x+3) and x=30, which expression could represent the measure of AED?

The quotient of 3.013 × [tex]10^{8}[/tex] and 6.55 × [tex]10^{5}[/tex] expressed in scientific notation is equal to 0.46 × [tex]10^{3}[/tex].

In Mathematics, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Generally speaking, any numerical data (number) can be written in scientific notation as shown below:

a × [tex]b^n[/tex]

Where

Next, we would rewrite the given numerical data (number) in scientific notation by dividing by 6.55 × [tex]10^{5}[/tex] as follows:

Scientific notation = 3.013 × [tex]10^{8}[/tex]/(6.55 × [tex]10^{5}[/tex])

Scientific notation = 0.46 × [tex]10^{8-5}[/tex]

Scientific notation = 0.46 × [tex]10^{3}[/tex].

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Answer:

5) 59.7 in

6) 39.0 mi

7)

8) 50.3 mi

Step-by-step explanation:

5) C = [tex]\pi (19)[/tex]

C = 59.7 in

6) C = [tex]2\pi (6.2)[/tex]

C = 39.0 mi

7) RADIUS IS CUT OFF

use C = [tex]2\pi r[/tex]

8) C = [tex]2\pi (8)[/tex]

C = 50.3 mi

The events that are independent are,

1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.

2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.

3) Olivia choosing an ace and the dart hitting the bull's-eye

1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.

2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.

3) Olivia choosing an ace and the dart hitting the bull's-eye.

The other events are dependent because the outcome of the first event affects the outcome of the second event. Specifically

1) Sarah picking a number less than 5 and then picking an odd number. The second event depends on the outcome of the first event.

2) A number cube being rolled and a spinner being spun. The two events are independent of each other, but the outcomes of each event are not independent.

3) Two cards being randomly chosen from a standard deck, and Eliza choosing a jack, replacing it, and then choosing a black card. The outcome of the second event depends on the outcome of the first event, and the outcome of the first event affects the composition of the deck for the second event.

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The given question is incomplete, the complete question is:

Which events are independent? Check all that apply. Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number. A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner. Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card. Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair. A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.

Answer:

Area = [tex]415.265 m^2[/tex]

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]

[tex]A = (3.14)(11.5^2)=(3.14)(132.25)=415.265[/tex]

a. The exit pressure is 19.76 lbf/in².

b. The ratio of the inlet area to the exit area is 3.125.

C. The exit area ratio (0.32) is less than the critical area ratio (1.89), the nozzle is converging-diverging in cross section.

To solve this problem, we need to apply the conservation equations for mass, momentum, and energy along with the isentropic relations.

a. To determine the exit pressure, we can use the isentropic relation for pressure ratio across a nozzle:

[tex]P_2/P_1 = (T_2/T_1)^{\frac{\gamma}{\gamma -1}}[/tex]

where [tex]P_1[/tex] and [tex]T_1[/tex] are the inlet pressure and temperature,

[tex]P_2[/tex] and [tex]T_2[/tex] are the exit pressure and temperature, and

γ is the specific heat ratio of air.

Using Table A-22E, we find that γ = 1.4 for air at 800°R.

Substituting the given values and solving for P2, we get:

[tex]P_2[/tex] = [tex]P_1 \times (T_2/T_1)^\frac{\gamma}{\gamma -1}[/tex] = [tex]45 \times (1500/480)^{(1.4/0.4)}[/tex]= 19.76 lbf/in²

b. To determine the ratio of the exit area to the inlet area, we can use the continuity equation:

[tex]A_1V_1 = A_2V_2[/tex]

where [tex]A_1[/tex] and [tex]A_2[/tex] are the inlet and exit areas, and

[tex]V_1[/tex] and [tex]V_2[/tex] are the inlet and exit velocities.

Substituting the given values, we get:

[tex]A_2/A_1 = V_1/V_2[/tex] = 480/1500 = 0.32

The ratio of the exit area to the inlet area is 0.32, or equivalently, the ratio of the inlet area to the exit area is 1/0.32 = 3.125.

c. To determine whether the nozzle is diverging only, converging only, or converging-diverging in cross section, we can compare the exit area ratio to the critical area ratio.

The critical area is the minimum area that allows the flow to reach sonic conditions, and it depends on the pressure and temperature of the flow.

For a converging-diverging nozzle, the exit area ratio is less than the critical area ratio, which is given by:

A* / [tex]A_1[/tex] = [tex](2/(\gamma+1))^{(\gamma+1)}/(2(\gamma-1)/(\gamma+1))^{(\gamma+1)/(\gamma-1)}[/tex]

where A* is the critical area,

[tex]A_1[/tex] is the inlet area, and

γ is the specific heat ratio.

Using the given values and γ = 1.4, we find that:

A* / [tex]A_1[/tex] = 1.89

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Question:-

Air enters a nozzle operating at steady state at 45 lbf/in.2, 800°R, with a velocity of 480 f/s, and expands isentropically to an exit velocity of 1500 ft/s. Using data from Table A-22E as needed, determine

a. the exit pressure, in lbf/in². 19.76

b. the ratio of the exit area to the inlet area. 0.577

c. whether the nozzle is diverging only, converging only, or converging-diverging in cross section. conv-div

The image vertices of L′M′N′ are (-2, 3), (-4, -1), and (-4, 3).

What is preimage?

The set of all domain elements for a given function that map to a certain subset of the codomain; (formally) given a function X Y and a subset B Y, the set 1(B) = x X: x B.

Here, we have

Given: Triangle LMN is drawn with vertices at L(−3, −2), M(1, −4), N(−3, −4).

We have to determine the image vertices of L′M′N′ if the preimage is rotated 90° clockwise.

The rule for rotating a point (x, y) 90° clockwise is:

(x,y) ⇒ (y, -x)

The vertices of triangle LMN will be mapped to:

L(-3,-2) ⇒L' (-2, 3)

M(1,-4) ⇒ M'(-4, -1)

N(-3,-4) ⇒ N'(-4, 3)

Hence, the image vertices of L′M′N′ are (-2, 3), (-4, -1), and (-4, 3).

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x is the base of given right angled triangle, which is calculated as 7 using the Pythagoras theorem.

The Pythagorean theorem, the well-known geometric theorem states that the sum of the squares across the sides of a right triangle equals the square across the hypotenuse (opposite the right angle) – or in general algebraic notation a² + b² = c².

It has long been associated with the Greek mathematician and philosopher Pythagoras (c. 570-500/490 BC), but is actually much older. His four clay tablets in Babylonia, circa 1900 BC to his 1600. Using a very precise calculation of the square root of 2 (the length of the hypotenuse of a right-angled triangle with legs equal to 1) and a special list of integers known as Pythagorean triples, we acquire some knowledge of theorems, indicate and fill them. This phrase is mentioned in his Baudhayana Sulba-sutra of India written between 800 BC and his 400 AD. written.

Given,

DF = 24

DE = 25

Using Pythagoras theorem:

Hypotenuse² = Base² + Perpendicular²

25² = x² + 24²

x² = 25² - 24²

x² = 625 - 576

x² = 49

x = √49

x = 7

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Using empirical rule, the approximate percentage of daily phone calls numbering between 42 and 52 is 68%.

A statistical principle known as the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, holds that with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).

The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.

Mean = 47

SD = 5

Using Empirical Formula ,approximate percentage of daily phone calls numbering between 42 and 52

Normal Distribution has bell shape curve

The Empirical Rule states that in  a normal distribution

68% of the data falls with in one standard deviation ( -1 to 1)

95%  of data falls with in two standard deviations, and  (-2 to 2)

99.7% of data falls with in three standard deviations from the mean. (-3 to 3)

z score = ( Value - mean)/SD

Calculate z score for 60

Z = (42 - 47)/5

Z = -1

Calculate z score for 66

Z = (52 - 47)/5

Z =  1

As data lies between -1 and 1 hence with in one standard deviation from the mean Hence using Empirical data approximate percentage of daily phone calls numbering between 42 and 52  is 68%.

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The monthly percentage rate is 1.45%, and the APR is 17.4%.

To calculate the monthly percentage rate, we can divide the finance charge by the average daily balance, then multiply by 100 to convert to a percentage

Monthly percentage rate = (finance charge / average daily balance) x 100

Monthly percentage rate = ($8.12 / $560) x 100

Monthly percentage rate = 0.0145 x 100

Monthly percentage rate = 1.45%

To calculate the APR (annual percentage rate), we need to multiply the monthly percentage rate by the number of months in a year:

APR = Monthly percentage rate x 12

APR = 1.45% x 12

APR = 17.4%

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If the initial amount of air in the lungs is 500 ml. approximately then original air is left in the lungs after 5 breaths is 263.86 ml.

During normal breathing, about 12% of the air in the lungs is replaced after one breath,

initial amount of air in the lungs is 500 mL.

After 1 breath original air in lung = 500 - (12/100)500

= 500*(88/100)

= 500 (0.88)

After 2 breath original air in lung =   500 (0.88)  - (12/100)500 (0.88)

=  500 (0.88) (1 - 12/100)

= 500 (0.88) (0.88)

= 500(0.88)²

After n breaths original air in lung =  500(0.88)ⁿ

original air is present after 5 breaths = 500(0.88)⁵

= 263.86  ml

Therefore, original air is left in the lungs after 5 breaths is 263.86 ml.

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The value of the cube root [tex]343x^9y^{12}z^6[/tex] is [tex]7x^3y^4z^2[/tex]

A number's cube root is a quantity that when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Thus, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root.

The cube root 0f  [tex]343x^9y^{12}z^6[/tex]

[tex]\sqrt[3]{343x^9y^{12}z^6} \\\sqrt[3]{(7x^3y^4z^2)^3} \\\\\\7x^3y^4z^2[/tex]

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