Troy weighs 157 pounds. At least how many pounds must he lose to wrestle in the 152-pound weight class?
Define a variable and write an inequality to solve the problem.

Answer:

It traveled 600,000 miles in one day

The first law of thermodynamics, mathematically expressed as:

ΔU = Q - W

Where:

ΔU represents the change in internal energy of the system,

Q represents the heat added to the system, and

W represents the work done by the system.

The first law of thermodynamics, also known as the law of energy conservation, states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system.

The term "internal energy" (ΔU) refers to the total energy possessed by the system, including the kinetic and potential energy of its molecules. It is a measure of the system's thermal energy.

The term "heat" (Q) represents the transfer of energy between the system and its surroundings due to temperature difference. It is a form of energy transfer that occurs spontaneously from higher temperature regions to lower temperature regions.

The term "work" (W) represents the energy transfer resulting from forces applied to the system, causing displacement. It can take different forms, such as mechanical work, electrical work, or expansion work.

For different scenarios, the explicit form of the energy balance equation can be derived by considering the specific types of work and heat involved in the system. By drawing appropriate schematics, one can identify the relevant forms of work and heat transfer. Examples include:

Adiabatic Process: In this scenario, no heat transfer occurs (Q = 0). The energy balance equation simplifies to ΔU = -W, where the work done by the system contributes to the change in internal energy.

Isothermal Process: In this case, the temperature remains constant (ΔU = 0). The energy balance equation becomes Q = W, indicating that the heat added to the system is fully converted into work.

Isobaric Process: Here, the pressure remains constant. The energy balance equation can be written as ΔU = Q - PΔV, where P is the constant pressure and ΔV is the change in volume. This equation accounts for both heat transfer and work done against the constant pressure.

Therefore, by applying appropriate schematics and considering the specific conditions of a given scenario, one can deduce the explicit form of the energy balance equation and understand the interplay between heat, work, and the change in internal energy.

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Answer:

1200-928 = 272 for the rest of the month Clarissa has to spend.

Step-by-step explanation:

So we don't want her to go over her budget so we wouldn't choose a greater than option for her so eliminate the first option and the last option. Now we just have the middle two. We want to keep it under 1200 but theres nothing wrong with spending that exact amount each month so I would pick x less than or equal to 272, since we can still equal the total of less than the total and not go over. Option 2 or B.

Answer:

b on edg

Step-by-step explanation:

Answer:

v = - \(\frac{39}{20}\)

Step-by-step explanation:

Given

- \(\frac{1}{2}\) - \(\frac{2}{3}\) v = \(\frac{4}{5}\)

Multiply through by 30 ( the LCM of 2, 3 and 5 )

- 15 - 20v = 24 ( add 15 to both sides )

- 20v = 39 ( divide both sides by - 20 )

v = - \(\frac{39}{20}\)

Answer:

\(v=-\frac{39}{20}\)

Step-by-step explanation:

Given the expression

\(-\frac{1}{2}-\frac{2}{3}v=\frac{4}{5}\)

Add 1/2 to both sides

\(-\frac{1}{2}-\frac{2}{3}v+\frac{1}{2}=\frac{4}{5}+\frac{1}{2}\)

\(-\frac{2}{3}v=\frac{13}{10}\)

Multiply both sides by 3

\(3\left(-\frac{2}{3}v\right)=\frac{13\cdot \:3}{10}\)

\(-2v=\frac{39}{10}\)

Divide both sides by -2

\(\frac{-2v}{-2}=\frac{\frac{39}{10}}{-2}\)

\(v=-\frac{39}{20}\)

Therefore,

\(v=-\frac{39}{20}\)

8/19 or 42.1%

add all values up to a total, then find the percentage from that total.

8 + 2 + 1 + 3 + 5 = 19 balls total

8 tennis valls to 19 total.

8/19 or 42.1%

Answer:

427

Step-by-step explanation:

Mike's weight is 215 twice that would be 430. Subtract three and , that 'll give you 427

Answer:

109 lbs

Step-by-step explanation:

2x + 3=215

Answer:

16

Step-by-step explanation:

Step 1. Plug the numbers into the equation.

Step 2. Solve using PEMDAS

2 ( 6 + 3 ) - 2

2 ( 9 ) - 2

18 - 2

16

The measures and their values are matched as follows: 15 - appears five times in the table ;12 - appears once in the table ;22 - appears once in the table ;7 - the range, which is calculated by subtracting the smallest value from the largest value (25-12=13) ;13 - the interquartile range, which is calculated by subtracting the first quartile from the third quartile (Q3-Q1)

To match the measures with their values, we need to understand what each measure represents. The range is the difference between the largest and smallest value in a set of data. In this case, the largest value is 25 and the smallest value is 12, so the range is 25-12=13.
The interquartile range is the range of the middle 50% of a set of data. To find it, we need to calculate the first quartile (Q1) and the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.
To find Q1, we need to find the median of the lower half of the data. Since there are 10 data points, the median is the average of the 5th and 6th values when the data is ordered from smallest to largest. In this case, the values are: 12, 14, 15, 15, 15, 16, 22, 24, 25. So Q1=(15+15)/2=15.
To find Q3, we need to find the median of the upper half of the data. Again, since there are 10 data points, the median is the average of the 5th and 6th values when the data is ordered from largest to smallest. In this case, the values are: 25, 24, 22, 16, 15, 15, 15, 14, 12. So Q3=(15+16)/2=15.5.
Therefore, the interquartile range is Q3-Q1=15.5-15=0.5.

Now we can match the measures with their values:
- 15 appears five times in the table
- 12 appears once in the table
- 22 appears once in the table
- The range is 13
- The interquartile range is 0.5.

In summary, we can use the measures of central tendency (such as median) and measures of variability (such as range and interquartile range) to describe a set of data and make comparisons between different sets of data.

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a. H: δ>100 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ) and it is testable using statistical methods.
b. H: x=45 is a legitimate statistical hypothesis because it is a statement about a population parameter (x) and it is testable using statistical methods.
c. H: s<.20 is a legitimate statistical hypothesis because it is a statement about a population parameter (s) and it is testable using statistical methods.
d. H: δ1/δ2 <1 is a legitimate statistical hypothesis because it is a statement about a population parameter (δ1 and δ2) and it is testable using statistical methods.
e. H: X-Y=5 is a legitimate statistical hypothesis because it is a statement about a population parameter (X and Y) and it is testable using statistical methods.
f. H: גּ<.01 is a legitimate statistical hypothesis because it is a statement about a population parameter (λ) and it is testable using statistical methods, with the parameter being the rate parameter of an exponential distribution used to model component lifetime.

Here are the answers for each assertion:

a. H: δ>100 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (delta).

b. H: x=45 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (x) rather than a population parameter.

c. H: s<.20 - This is not a legitimate statistical hypothesis because it refers to a sample statistic (s, sample standard deviation) instead of a population parameter.

d. H: δ1/δ2 <1 - This is a legitimate statistical hypothesis because it specifies a relationship between two population parameters (delta1 and delta2).

e. H: X-Y=5 - This is not a legitimate statistical hypothesis because it refers to sample statistics (X and Y) rather than population parameters.

f. H: λ<.01 - This is a legitimate statistical hypothesis because it states a specific direction for the population parameter (lambda) related to the exponential distribution for component lifetime.

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Answer:

the slope is 2.

the y-intercept is (0,3)

Answer:

Slope: 4/2

Intercept: 3

Step-by-step explanation:

Hope this helped!

Answer:

The vertex is at (5, -9)

Step-by-step explanation:

The vertex is halfway between the zeros

f(x) = (x-8)(x - 2)

0  = (x-8)(x - 2)

x=8 and x=2 are the two zeros

(8+2)/2 = 10/2 = 5

The x coordinate is at 5

The y coordinate is found by substituting the x coordinate into the function

f(5) = (5-8)(5 - 2) = -3 (3) = -9

The vertex is at (5, -9)

The number of students should we survey is 136.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To estimate the required sample size for estimating the proportion of students with tattoos with 98% confidence and a margin of error of no more than 0.10, we can use the formula:

n = (z² × p × (1-p)) / (E²)

where:

n = sample size

z = z-score associated with the desired confidence level (98% = 2.33)

p = estimated proportion of students with tattoos (unknown)

E = margin of error (0.10)

We don't know the value of p, but since we want the maximum possible sample size

Let us assume that p = 0.5, which gives us the largest possible value of n.

So, substituting the values into the formula, we get:

n = (2.33² × 0.5×(1-0.5)) / (0.10²) = 135.7

Hence, the number of students should we survey is 136.

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True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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Answer:

it is 1/5

Step-by-step explanation:

.............

Answer

Its already in order: 1/7 4/14 2/3

Step-by-step explanation:

Because the common denominator for all three is 42, which turns the fractions to 6/42, 12/42, and 28/42 making it easier to place in order

ANSWER:

1/7,4/14,2/3.......................

Answer: b = 6/5

..........................

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:

I would say yes

Step-by-step explanation: Hope I helped!

Answer:

19/4

Step-by-step explanation:

Answer:

\(22\)

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for \(?\):

\(\frac{28}{42}=\frac{?}{33}\) (divide corresponding sides)

\(\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}\)

SSE and SST alone is not sufficient to compute the slope of the regression line, y-intercept, or x-intercept.

The coefficient of determination, also known as R-squared, can be computed if SSE (sum of squared errors) and SST (total sum of squares) are known. R-squared is a measure of the proportion of variation in the dependent variable (y) that can be explained by the independent variable (x). It ranges between 0 and 1, with higher values indicating a better fit of the regression line to the data.

The formula for R-squared is: R-squared = 1 - (SSE / SST)

However, knowing SSE and SST alone is not sufficient to compute the slope of the regression line, y-intercept, or x-intercept. These require additional information such as the mean values of x and y, or the values of individual data points.

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Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

you will need to know trig functions;

a)

tan(45) = 7/a

you want to solve for "a", online calculator should give you the option for trig functions.

a = ~4.32

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

\(ax^5+ by^5=241\)

Step-by-step explanation:

Given:

We can re-write the left sides of the given equations as follows:

\(ax^2+ by^2=(ax+by)(x+y)-xy(a+b)\)

\(ax^3+ by^3=(ax^2+by^2)(x+y)-xy(ax+by)\)

\(ax^4+ by^4=(ax^3+by^3)(x+y)-xy(ax^2+by^2)\)

Therefore, following this pattern:

\(ax^5+ by^5=(ax^4+by^4)(x+y)-xy(ax^3+by^3)\)

Use the given values and the expanded expressions to create 2 equations to help find the values of (x+y) and xy:

Equation 1

\(ax^3+ by^3=(ax^2+by^2)(x+y)-xy(ax+by)\)

\(\implies 25=11(x+y)-xy(1)\)

\(\implies 25=11(x+y)-xy\)

Equation 2

\(ax^4+ by^4=(ax^3+by^3)(x+y)-xy(ax^2+by^2)\)

\(\implies 83=25(x+y)-xy(11)\)

\(\implies 83=25(x+y)-11xy\)

Multiply Equation 1 by 11:

\(\implies 275=121(x+y)-11xy\)

Then subtract Equation 2 from this to eliminate 11xy and find the value of (x+y):

\(\implies 192=96(x+y)\)

\(\implies (x+y)=2\)

Multiply Equation 1 by 25:

\(\implies 625=275(x+y)-25xy\)

Multiply Equation 2 by 11:

\(\implies 913=275(x+y)-121xy\)

Subtract the 2nd from the 1st to eliminate 275(x+y) and find the value of xy:

\(\implies 288=-96xy\)

\(\implies xy=-3\)

Therefore, we now have:

Substitute these into the equation for ax⁵ + by⁵ and solve:

\(\implies ax^5+ by^5=(ax^4+by^4)(x+y)-xy(ax^3+by^3)\)

\(\implies ax^5+ by^5=(83)(2)-(-3)(25)\)

\(\implies ax^5+ by^5=166+75\)

\(\implies ax^5+ by^5=241\)

The solution to the linear function M(x) = 180 is of x = -5.

The linear function equation is the slope-intercept form. Thus, it is expressed as f(x) = mx + b where m is the slope and b is the y-intercept of the line.

In this problem, the function is defined as follows:

M(x) = 120 - 12x.

M(x) represents the balance remaining on the gift card after x movie tickets priced at $12 are purchased.

The domain of the situation is given as follows:

x ≥ 0. {discrete}

As the number of tickets cannot assume negative neither decimal values.

The equation is:

M(x) = 180.

The solution is calculated as:

120 - 12x = 180

12x = -60

x = -60/12

x = -5.

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Answer:

1.( l+w)

Step-by-step explanation:

The complete question is given below

Her partial work is shown below: p = 4l + 4w + 4h

= l + w + h

h =

Which expression should follow the subtraction in Hallie’s equation?

h=l+w

Answer is 1. (l +w)