What is the surface area.

Answer : ( 1, - 4 )

Explanation : y=x - 5

y —3х – у = -3

Step 1 : Consider the first eqaution. Subtract X from both sides.

y - x = -5

Step 2 : Consider the second eqaution. Combine y and -y to get 0 .

-3x = -3

Step 3 : Divide both sides by -3

x = -3 / -3

Step 4 : Divide -3 by -3 to get 1

x = 1

Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.

y - 1 = -5

Step 6 : Add one to both sides.

y = -5 + 1

Step 7 : Add negative 5 and one to get negative 4 .

y = -4

Therefore, the answer is ( 1, - 4 )

Answer: 363.333333

Step-by-step explanation:

The division of the number 1,090 by 3 will be 363.33.

Given that:

Numbers, 1,090 and 3

Division means separating something into different parts, sharing something among other people, places, etc.

The division of the number 1,090 by 3 is calculated as,

⇒ 1,090 / 3

⇒ 363.33

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The conversion 336g to m³ is impossible because they measure different units

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

Convert 336g to m³

To convert a unit to another, the units must measure the same quantity

Take for instance:

Grams can be converted to kilograms because they both measure mass

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

336g to m³  cannot be done because of the different quantities they represent

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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Answer:

x=0,y=-3

Step-by-step explanation:

3x-5y=15 - equation(1)

x-4y=12 => x=12+4y -equation (2)

Replace equation (2) in equation (1)

3(12+4y)-5y=15

36+12y-5y=15

7y=15-36

7y= -21

y = -21/7

y=-3

If y=-3,then replace in equation (1) ; 3x -5(-3)=15

3x+15=15

3x=0

x=0

The largest value of x for which this solution is defined is 2.45 (approx.).Hence, the required answer is 2.45.

To solve the initial value problem 5x + y y' = 0, y (2) = 5, we need to first solve the differential equation and then plug in the value of y(2) = 5 to find the value of the constant C. Finally, we need to find the largest value of x for which this solution is defined. Steps to solve the initial value problem: Given, 5x + y y' = 0y (2) = 5 Separating the variables and integrating,5x + y y' = 0 => y d y = -5xdx Integrating both sides, we get y²/2 = -5x²/2 + C.... .. (1)Now, we need to find the value of the constant C

To do so, plug in the value of y(2) = 5 in equation (1),5²/2 = -5(2)²/2 + C => C = 15Thus, the solution to the initial value problem is given by, y²/2 = -5x²/2 + 15 => y² = -5x² + 30The solution will be defined only if y² > 0.

Thus, -5x² + 30 > 0 => x < √6 or x > -√6.The largest value of x for which this solution is defined is therefore √6 ≈ 2.45 (rounded to 2 decimal places).Therefore, the largest value of x for which this solution is defined is 2.45 (approx.).Hence, the required answer is 2.45.

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The best way to represent this data that illustrates change in average temperature over time by using Bar charts

Bar charts are used to display information that falls into specific categories in various groups or subgroups. Our goal is to show the average temperature over a 5 years period, so a bar chart is the best tool for that.

This is also useful for showing trends and changes in  temperatures over a 5 years

hence, the best way to represent this data that illustrates change in average temperature over time by using Bar charts

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Answer: The y-intercept is 1

Step-by-step explanation:

On a graph, the y-intercept is the point where the line intersects the y-axis. The corresponding x-coordinate is always 0. ... When a linear equation is written in slope-intercept form (y=mx+b), the slope is represented by the variable m. It is the coefficient to x in the equation.

Y intercept

The point on y axis at which the line intersects the y axis is called the y intercept of line

Here

The point is (0,1)

So y intercept=1

It signifies the number of dogs that Bella feeds. The number of observations in dataset is an important characteristic that helps to determine the size of data and potential variability of data.

The table of the number of cups of dog food that each dog should be fed each day is a dataset that contains multiple observations. Each row in the table represents one observation for one dog, with information about the number of cups of dog food that the dog should be fed each day.

The number of observations in this data set is equal to the number of dogs that Bella will be feeding at the shelter. Each observation in the dataset represents a single unit of information, in this case, the number of cups of dog food that a particular dog should be fed.

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If you just want to conduct a flyby and aren't planning to stay, it will take you approximately 600 days, and if you want to enter orbit, it will take you about 2,000 days.

Astronomical distances are expressed in terms of a light-year, which is also spelt light year. Its length is approximately 9.46 trillion kilometers, or 5.88 trillion miles.

NASA's Pioneer 10 was the first spacecraft to ever travel across the distance between the Earth and Jupiter. On March 3, 1972, it was launched, and on December 3, 1973, it arrived. There were 640 days of flight time altogether.

However, Pioneer 10 was passing by while en route to study the outer solar system. Before NASA lost communication with it, the spacecraft traveled another 11 years into deep space after approaching the planet at a distance of 130,000 kilometers, where it snapped the first-ever close-up images of Jupiter.

Pioneer 11 launched and touched down one year later. It traveled there in 606 days, flying by Jupiter at a considerably closer distance (21,000 kilometers), and also stopped by Saturn.

The Voyager spacecraft arrived next. Voyager 1 arrived on March 5, 1979, in only 546 days, and Voyager 2 took 688 days.

Consequently, it will take between 550 and 650 days to complete a flyby.

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the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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The probability that this baseball team will win the World Series, based on the provided odds, is 1/26 or approximately 0.0385 (rounded to four decimal places).

To determine the probability of the baseball team winning the World Series based on the odds given by the sportsbook, we can use the formula:

Probability = (Number of ways the event can occur) / (Total number of possible outcomes)

In this case, the "event" is the baseball team winning the World Series, and the "total number of possible outcomes" is the number of teams participating in the World Series. Assuming there are 30 teams in the Major League Baseball, the total number of possible outcomes is 30.

To calculate the number of ways the event can occur, we can use the odds provided by the sportsbook. The odds of 1:25 mean that for every 25 times the event does not occur (i.e. the baseball team does not win the World Series), it occurs once (i.e. the baseball team wins the World Series). Therefore, the number of ways the event can occur is 1.

Using the formula above, we can now calculate the probability:

Probability = 1 / 30

Therefore, the probability of the baseball team winning the World Series based on the odds of 1:25 is approximately 0.04 or 4%.
Hi! You've asked about the probability of a certain baseball team winning the World Series, given that the sportsbook at the High Roller Casino has set the odds at 1:25.

To find the probability, you'll need to use the odds provided. In this case, the odds are 1 to 25, meaning there's 1 chance of winning for every 25 chances of losing. To calculate the probability, you can use the following formula:

Probability = Number of winning outcomes / (Number of winning outcomes + Number of losing outcomes)

In this case, the number of winning outcomes is 1, and the number of losing outcomes is 25. Plugging these numbers into the formula, you get:

Probability = 1 / (1 + 25)

Probability = 1 / 26

So the probability that this baseball team will win the World Series, based on the provided odds, is 1/26 or approximately 0.0385 (rounded to four decimal places).

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To calculate the probability of a baseball team winning the World Series based on odds of 1:25, we need to convert the odds to a probability. The formula for converting odds to probability is:

Probability = 1 / (odds + 1)

Using this formula, we can calculate the probability of the baseball team winning the World Series as follows:

Probability = 1 / (1 + 25) = 0.038

Therefore, the probability of the baseball team winning the World Series based on the odds of 1:25 is 0.038 or 3.8%.

it is important to understand that odds and probability are two different ways of expressing the likelihood of an event occurring. Odds are typically expressed as a ratio of the number of ways an event can happen to the number of ways it cannot happen. Probability, on the other hand, is expressed as a number between 0 and 1 that represents the likelihood of an event occurring.
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In a normal distribution with a mean (µ) of 100 and a standard deviation (σ) of 15, we can use the empirical rule to estimate the percentage of data that falls within certain ranges.

(a) To determine the percentage of data that is more than one standard deviation from the mean, we can look at the area under the normal curve beyond one standard deviation.

Since one standard deviation above the mean is µ + σ = 100 + 15 = 115, and one standard deviation below the mean is µ - σ = 100 - 15 = 85, we can calculate the percentage of data that falls outside this range.

Using the empirical rule, approximately 68% of the data falls within one standard deviation of the mean. This means that approximately 32% of the data falls outside this range. However, since we are interested in the data that is more than one standard deviation from the mean, we need to consider only one tail.

As the normal distribution is symmetric, we can estimate that approximately 16% of the data is more than one standard deviation above the mean and approximately 16% of the data is more than one standard deviation below the mean.

(b) To calculate the percentage of data within two standard deviations from the mean, we can use a similar approach. Two standard deviations above the mean is µ + 2σ = 100 + 2(15) = 130, and two standard deviations below the mean is µ - 2σ = 100 - 2(15) = 70.

Using the empirical rule, approximately 95% of the data falls within two standard deviations of the mean. This means that approximately 5% of the data falls outside this range. However, since we are interested in the data within this range, we need to consider both tails.

As the normal distribution is symmetric, we can estimate that approximately 2.5% of the data is between one and two standard deviations above the mean, and approximately 2.5% of the data is between one and two standard deviations below the mean.

Therefore, approximately 2.5% of the data falls between one and two standard deviations above the mean, and approximately 2.5% of the data falls between one and two standard deviations below the mean.

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Answer:

\(\frac{25}{1000}\) = 0.025

\(\frac{20}{50}\) = 0.4

\(\frac{3}{50}\) = 0.06

\(\frac{2}{3}\) = 0.(66) or 0.66666666666666666

The first error Zoe made in her proof is the use of the Angle-side-angle (ASA) congruence criterion to prove that triangle AED is congruent to triangle CEB.

Zoe stated that angle A is congruent to angle C (provided as the reason for Statement 1) and angle DEA is congruent to angle BEC (provided as the reason for Statement 2).

However, she did not provide any evidence or reason for stating that side AE is congruent to side EC (Statement 3).

In order to use the ASA congruence criterion, Zoe should have shown that two corresponding pairs of angles and the included side are congruent.

However, she only provided evidence for the congruence of angles A and C, and angles DEA and BEC.

Without the evidence of congruent sides, Zoe cannot conclude that triangle AED is congruent to triangle CEB based on the ASA criterion.

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Where we take the Laurent series expansion of the given expression about the point z0. For this, we note that:We can write the expression of the given function in the standard integral form.

The integral to be calculated is given by:2πi
1
​
∫ ∣a∣=r
​
z−z 0
​
z+z 0
​
​
⋅ z
dz
​
+where 0 < ∣z 0 ∣ < r.Let's try to put it in the standard integral form:Where we take the Laurent series expansion of the given expression about the point z0. For this, we note that:We can write the expression of the given function in the standard integral form:2πi
1
​
∫ ∣a∣=r
​
z−z 0
​
z+z 0
​
​
⋅ z
dz
​
+
=
2πi
1
​
∫ ∣a∣=r
​
z−z 0
​
z+z 0
​
​
⋅
(
∑
n=−∞
∞
c
n
(z−z
0
) n
)
dz
​
=
2πi
1
​
∑
n=−∞
∞
c
n
∫ ∣a∣=r
​
(
z−z
0
)
n+1
(
z+z
0
)
n
dz
​
Now, we need to calculate the residue at z=z0. For this, we observe that:(z-z0)2(z+z0) = [(z0+z)-(z-z0)]/[2(z+z0)] = (1/2)[(z0+z)/(z+z0) - (z-z0)/(z+z0)]. Using partial fractions, we can write this expression as:1/2[1 + (2z0)/(z0+z)] - 1/2[(z-z0)/(z0+z)]. The first term is a constant, and does not contribute to the residue. The second term is of the standard form for calculation of residue, and we can write its residue as:(lim
z→z
0
z−z 0
​
)
(1/2)(−1/(2z
0
)) = −1/4z0. Thus, the final expression of the integral is given by:2πi
1
​
∫ ∣a∣=r
​
z−z 0
​
z+z 0
​
​
⋅ z
dz
​
+ = −πi/(2z0).Using the given result, we need to prove that:2π
1
​
∫ 0
2π
​
∣re iθ
−z 0
∣ 2
dθ
​
= r 2
−∣z 0
∣ 2
1
​
Now, let us convert the integral on LHS in terms of z. Using z = re iθ, we get dz = i z dθ. Also, |z-z0| = |re iθ - z0| = sqrt(r^2 + z0^2 - 2rz0cosθ). Substituting these values, we get:LHS = 2π
0
​
∣re iθ
−z 0
∣ 2
dθ
​
= 2π
0
​
[r^2 + z0^2 - 2rz0cosθ]
dθ
​
= 2π(r^2 + z0^2) - 4πrz0[(1/2π)∫ 0
2π
​
cosθ dθ
​
] = 2π(r^2 + z0^2) - 4πrz0[0] = 2π(r^2 + z0^2).Thus, LHS is proved. Also, using the given expression, we can write that the RHS is given by:(r^2 - z0^2)/(2z0).Substituting this value in the expression of LHS, we get that the given identity is indeed true.

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Answer: in a triangle if all its angle measure less than 90 degree is called an acute triangle.

Step-by-step explanation: In equilateral triangle all of its 3 angle measure equally and are less than 90 degree thus making it an acute triangle.

Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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While a common rule of thumb is to have a minimum sample size of 100 for continuous data to be statistically significant, the actual appropriate sample size may vary depending on the specific study design and research question. Option(D)

In statistics, the term "statistical significance" refers to whether an observed effect or relationship in the data is likely to be real and not just due to random chance. To determine statistical significance, we often perform hypothesis testing.

The sample size is a crucial factor in hypothesis testing. A larger sample size generally provides more reliable and precise estimates of population parameters and increases the statistical power of the test. With a larger sample size, even smaller effects or differences between groups can become statistically significant.

While there is no hard and fast rule for the minimum sample size to achieve statistical significance, a common guideline is to aim for at least 30 samples. This guideline is often used in the context of the Central Limit Theorem, which states that the sampling distribution of the sample mean becomes approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In practice, the appropriate sample size depends on various factors, including the nature of the data, the effect size being studied, the desired level of confidence, and the statistical test used. Researchers often conduct sample size calculations based on these factors before conducting their studies to ensure they have an adequate sample size to achieve meaningful results and detect significant effects if they exist.

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Answer:

239 miles per gallon for a round trip.

Step-by-step explanation:

you'd need to achieve 238,900 / 2000 = 119.5 miles per gallon for a one way trip,

By organizing countless data points into comprehensible ranges or bins, the histogram, which resembles a bar graph in appearance, condenses a data series into an understandable visual. So Histograms based on data on housing, prices and salaries typically are skewed to the right.

A histogram in statistics is a graphic depiction of the data distribution. The histogram is shown as a collection of rectangles that are next to one another, where each bar represents a different type of data.

A branch of mathematics called statistics is used in many different fields. Frequency is the term for how often numbers appear in statistical data; it can be shown as a table and is known as a frequency distribution.

A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. The numerical count or percentage of occurrences for each column in the data are shown on the vertical y-axis.

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Answer:

no

Step-by-step explanation:

the x values repeat itself

The given relation is not a function.

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given a table of x and y values.

We have to determine the relation is a function or not.

By the definition of functions, a relation is a function if an input value does not map to two output values.

That is, an x value will not map to two y values.

From the table,

x = 1 maps to two y values -2 and -3.

This is not possible for functions.

So this is not a function.

Hence the relation is not a function.

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Answer:

\(\dfrac{3}{10}\)

Step-by-step explanation:

Length of an arc\(=\dfrac{\theta}{2\pi}X 2\pi r=\theta r\)

If the central angle of the arc is \(\dfrac{3\pi}{5}\)

Length of an arc\(=\dfrac{3\pi r}{5}\)

Therefore:

Ratio of the length of the arc to the circumference

\(=\dfrac{3\pi r}{5}:2\pi r\\=\dfrac{3\pi r}{5*2\pi r}\\=\dfrac{3}{10}\)

Therefore, the arc is \(\dfrac{3}{10}\) of the circumference is this arc.

Answer: 3 /10

Step-by-step explanation: Khan Academy

Answer:

3r + 5

Step-by-step explanation:

by "combining like terms", this means that if we have, for example,

1 * x + 5 * x, we can factor this out to be x*(1+5) = 6 * x and the like terms (1x and 5x) are combined

thus, we have

-5r + 8r + 5

the "like terms" here are -5r and 8r because they both have an r attached to it. thus, we can set out to only factor the r in these two numbers, resulting in

-5 * r + 8 * r + 5 = r * (-5 + 8) + 5 = r * 3 + 5 = 3r + 5

The 16th term of the arithmetic sequence is -60.

To find the 16th term of an arithmetic sequence with a first term of 0 and a common difference of -4

we can use the formula for the nth term of an arithmetic sequence:

nth term = a + (n - 1)d

where:

a = first term

d = common difference

n = term number

Substituting the given values, we have:

16th term = 0 + (16 - 1) × (-4)

= 0 + 15(-4)

= 0 - 60

= -60

Therefore, the 16th term of the arithmetic sequence is -60.

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The ratio that is equivalent to 25:80 is 5:16 , the correct option is (d) .

In the question ,

it is given that ,

the ratio is 25:18 , we need an equivalent ratio .

the ratio is 25:80 which can be written in fraction as 25/80 .

writing the factors of 25 and 80 .

= (5×5)/(5×16)

we can see that 5 is the common factor in both the numerator and the denominator .

= 5/16

which can be written as

= 5:16

the equivalent ratio is 5:16  .

Therefore , The ratio that is equivalent to 25:80 is 5:16 , the correct option is (d) .

The given question is incomplete , the complete question is

Which of the following ratio is equivalent to  25:80 ?

(a) 2:5

(b) 8:5

(c) 16:5

(d) 5:16

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\( \huge \mathrm{\longmapsto \: Answer}\)

_____________________________

We know,

\( \boxed{\mathrm{current = \dfrac{charge}{time}} }\)

Now,

\( \boxed{ \mathrm{potential \: \: difference = i\times r}}\)

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Answer:

c

Step-by-step explanation:

Answer:

420-20w = 240

Step-by-step explanation:

She starts with $420 and is taking out $20 a week so in the equation the 20 has to be negative because she is withdrawing instead of adding.