if a function is not continuous at a point, then it is not defined at that point. True/False ?

Answer:

The answer is D) Undefined because the equation is x=-11.

If P(B)=0.3, P(A|B)=0.5, P(B')=0.7and P(A|B')=0.8, then the value of the probability P(B|A)= 0.2113

To find the value of P(B|A), follow these steps:

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Answer: multiply both sides by 2

Answer:

r=7

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d/ 2=14/ 2=7

Hope this helped!!!

Answer:

I'll let you figure this out.

Step-by-step explanation:

the equation will be; 1 [the 0th term in the sequence] + (21 terms * -2) -- 1 + (21 * -2)

Answer:

8x+8

11x+3y

Step-by-step explanation:

it's just the normal addition if 1+2

Exponential function for H(t) is: H(t) = C × a^t whereC is the initial value of H(t) at t = 0a is the constant of proportionality t is the timeTherefore, we have: a) 2004b) 5.5 years (approx)

Given exponential function for H(t) is: H(t) = C × a^t whereC is the initial value of H(t) at t = 0a is the constant of proportionality t is the time (in years) since 1990, hence t = year - 1990Using the given function, we can write:H(t) = C × a^tNumber of veterans who were homeless or at risk of becoming homeless (H(t)) is given as 15,000.

From the given information, we can write:H(t) = C × a^t = 15,000We know that t represents the number of years since 1990. In other words, if we add t years to 1990, we get the year in which there were 15,000 veterans who were homeless or at risk of becoming homeless.

To find t, we need to first find the values of C and a.For that, we need more information. Let's see what doubling time means and how to calculate it.

Doubling time:The time taken by a quantity to double itself is known as the doubling time.

To find doubling time, we need to find the value of t when H(t) = 2C.Using the given function, we can write:H(t) = C × a^t...[1]When t = doubling time, H(t) = 2CSo, we can write:2C = C × a^(doubling time)Dividing both sides by C, we get:2 = a^(doubling time)Taking natural logarithm of both sides, we get:

ln 2 = ln a^(doubling time)ln 2 = doubling time × ln adoubling time = (ln 2) / (ln a)Now, let's look at the given function and see how we can find the values of C and a.H(t) = C × a^tWe know that in 1990, there were about 300,000 homeless or at risk of becoming homeless veterans.Using this information, we can write:H(0) = C × a^0 = 300,000Simplifying, we get:C = 300,000So, we can rewrite the given function as:H(t) = 300,000 × a^t

Now, we can use the given function to find the values of C and a.H(t) = 300,000 × a^t = 15,000Dividing both sides by 300,000, we get:a^t = 1/20

Taking natural logarithm of both sides, we get:t × ln a = ln (1/20) => t = [ln (1/20)] / ln aPutting the value of t in the given equation, we get:15,000 = 300,000 × a^t = 300,000 × a^[ln (1/20) / ln a]Simplifying, we get:1/20 = a^[ln (1/20) / ln a]

Taking natural logarithm of both sides, we get:ln (1/20) = [ln (1/20) / ln a] × ln aSimplifying, we get:ln a = - ln 20Putting this value in the equation for doubling time, we get:doubling time = (ln 2) / (ln a)= (ln 2) / (- ln 20)≈ 5.5 years (approx)Therefore, we have: a) 2004b) 5.5 years (approx)

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Hi,

She lacks  240-42 = 198

She earns 12 usd per hours  so :   198 /12 =   16.5

The required hour Eva needs to babysit is given as 16.5 hours.

Given that,
Eva wants to buy a bicycle. The bicycle costs $240.Eva already has $42 saved. She babysits for $12 per hour. Eva needs to babysit for h hours to earn enough money to buy the bicycle is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Eva had $42
Remaining money = 240 - 42 = $198
She babysits for $12 per hour,
For hours she needs to babysit to earn $198 = 198 / 12 = 16.5 hours,

Thus, the required hour Eva needs to babysit is given as 16.5 hours.

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The extreme points are (0,0,5), (0,5,0), (5,0,0). Solving this equation, we get X1 = 6 - 2X3 and X3 = (6 - X1)/2. Substituting this into the first equation, we get (6 - 2X3) + X3 = 5, which reduces to X3 = 0.

1. Rewrite the given inequalities into equalities by setting them to 0.

X1 + X2 + X3 = 5

-X1 +X2 + 2X3 = 6

X1, X2, X3 = 0

2. Solve the three equations simultaneously.

From the third equation, we have X1 = 0, X2 = 0, X3 = 0.

Substituting these values into the first equation, we get 0 + 0 + 0 = 5, which is not possible.

Substituting these values into the second equation, we get 0 - 0 + 2(0) = 6, which is also not possible.

Now, let us set X1 = 0 and solve the other two equations.

From the first equation, we get X2 + X3 = 5.

Substituting this into the second equation, we get -0 + X2 + 2X3 = 6, which reduces to X2 + 2X3 = 6.

Solving this equation, we get X2 = 6 - 2X3 and X3 = (6 - X2)/2.

Substituting this into the first equation, we get 0 + (6 - 2X3) + X3 = 5, which reduces to X3 = 5.

Therefore, the values of X2 and X3 are (6 - 5)/2 = 0.5 and 5, respectively.

Now, let us set X2 = 0 and solve the other two equations.

From the first equation, we get X1 + X3 = 5.

Substituting this into the second equation, we get X1 - 0 + 2X3 = 6, which reduces to X1 + 2X3 = 6.

Solving this equation, we get X1 = 6 - 2X3 and X3 = (6 - X1)/2.

Substituting this into the first equation, we get (6 - 2X3) + X3 = 5, which reduces to X3 = 0.

Therefore, the values of X1 and X3 are (6 - 0)/2 = 3 and 0, respectively.

3. The extreme points are (0,0,5), (0,5,0), (5,0,0).

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The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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Answer:

B

Step-by-step explanation:

2/5 + 2/5 +2/5 = 6/15 < 7/15

The derivative of the function f(x) = (8x − x3)(4x 5) is f '(x) = 192x 5 - 32x 7.

To find the derivative of the function f(x) = (8x − x3)(4x 5) using the product rule, we will follow the steps below:

Identify the two functions that are being multiplied together. In this case, they are (8x − x3) and (4x 5).

Find the derivative of each of these functions individually. The derivative of (8x − x3) is (8 - 3x2) and the derivative of (4x 5) is (20x 4).

Use the product rule to find the derivative of the entire function. The product rule states that the derivative of the product of two functions is equal to the first function multiplied by the derivative of the second function, plus the second function multiplied by the derivative of the first function. In this case, we will plug in the functions and their derivatives that we found in steps 1 and 2:

f '(x) = (8x − x3)(20x 4) + (4x 5)(8 - 3x2)

Simplify the expression to find the final derivative:

f '(x) = 160x 5 - 20x 7 + 32x 5 - 12x 7

f '(x) = 192x 5 - 32x 7

So, the derivative of the function f(x) = (8x − x3)(4x 5) is f '(x) = 192x 5 - 32x 7.

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Answer:

$71.25

Step-by-step explanation:

cost of one feet of molding = $15/8 = $1.875

Cost of  38 feet of crown molding = $1.875 x 38 = $71.25

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

In the given situation the wind on a random day in Bryan  is normally distributed with the following values;

Standard Deviation = ( δ ) = 5.1 mph

A random day of 16 is taken into account for the consideration of Bryan's average value of 19mph.

n = 16

By taking the confidence level of T - Factor, we get the;

At a 98% confidence level, the t is,

tα /2,df = t₀.₀₄,₂₄ = 2.492                ( df = hours in a day)

Margin of error = E = tα/2,df * (δ /√n)

                              = 2.492 * (5.1 / √16)

                              = 3.177

The 98% confidence interval estimate of the population mean is,

x - E < μ < x + E

19 - 3.177 < μ < 19 + 3.177

15.823 < μ < 22.177

The 98% confidence interval estimate of the population mean is

15.823 < μ < 22.177

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Obtaining data with a small p-value would be strong evidence against the null hypothesis. Correct option is 3).

In hypothesis testing, the null hypothesis assumes that there is no significant difference or relationship between variables, while the alternative hypothesis suggests otherwise. To determine whether to reject the null hypothesis, we calculate a p-value, which represents the probability of observing the data or more extreme results if the null hypothesis were true.

A small p-value indicates that the observed data is unlikely to occur under the null hypothesis, providing strong evidence against it. Therefore, obtaining data with a small p-value (option 3) would be considered strong evidence against the null hypothesis.

On the other hand, a large p-value (option 4) would suggest that the observed data is likely to occur even if the null hypothesis were true. This would not provide strong evidence against the null hypothesis, as it suggests that the data is consistent with the null hypothesis.

Using a small level of significance (option 1) or a large level of significance (option 2) refers to the predetermined threshold at which we decide to reject or fail to reject the null hypothesis. While the choice of significance level affects the decision-making process, it does not directly indicate evidence against the null hypothesis like the p-value does.

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Step-by-step explanation:

(5/4_3/4)×(_2/27)÷_4

5_3/4

1/4×_2/27÷_4

1/54÷4

=0.004629

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

six hundred and sixty-two by twenty-six

Step-by-step explanation:

Answer:

333 remainder 6

Step-by-step explanation:

       333   R 6

26/8664

  - 78

     086

     - 78

        084

          -78

              6

I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.

The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.

In this case the digit in the thoudands place (our furthest left) is 8.  Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.  

We now have 86.  26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.

We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.  

26 fits into 84 three times, but we have a difference of 6 this time.

We cannot continue as 26 will never fit into our remainder of 6.

We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.

So the final answer is 333 remainder 6

After two years, Nathan will have a total amount of $212.48 in his savings account.

To calculate the final amount, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial deposit), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the principal amount is $200, the annual interest rate is 6% (or 0.06 as a decimal), the interest is compounded annually (n = 1), and the time period is two years (t = 2). Plugging in these values into the formula, we get A = 200(1 + 0.06/1)^(1*2) = $212.48. Therefore, at the end of the two years, Nathan will have $212.48 in his savings account.

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Answer:

\(1.94\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

\(\frac{8.6 \cdot 0.082}{0.363}\)

Step 2: Evaluate

Answer:

1.94

Step-by-step explanation:

First we  multpiy the top

8.6 x 0.082 = 0.7052

0.7052/0.363= 1.942

=1.94

Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are: Length = 14 units, Width = 4 units ,Height = 2 units

To maximize the volume of the box, we need to find the dimensions that maximize the volume of the box. Let's assume that squares of side length x are cut out of each corner of the cardboard. Then, the dimensions of the box can be expressed as:

Length = 18 - 2x

Width = 8 - 2x

Height = x

The volume of the box is given by the product of these dimensions:

\(V(x) = (18 - 2x)(8 - 2x)(x)\)

Expanding this equation, we get:

\(V(x) = 4x^3 - 52x^2 + 144x\)

To find the maximum volume, we need to take the derivative of V(x) and set it equal to zero:

\(V'(x) = 12x^2 - 104x + 144 = 0\)

Solving this quadratic equation, we get:

x = 2 or x = 6

We need to check both solutions to see which one gives us the maximum volume.

When x = 2, the dimensions of the box are:

Length = 18 - 2(2) = 14

Width = 8 - 2(2) = 4

Height = 2

The volume of the box is:

V(2) = (14)(4)(2) = 112

When x = 6, the dimensions of the box are:

Length = 18 - 2(6) = 6

Width = 8 - 2(6) = -4 (negative, so this solution is not possible)

Height = 6

Therefore, the maximum volume of the box is 112 cubic units, and the dimensions of the box that give us the maximum volume are:

Length = 14 units

Width = 4 units

Height = 2 units.

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Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Therefore , the solution of the given problem of unitary method comes out to be  a 31 point difference out of 100 is the best estimate for the mean grade difference.

By employing what has been learned, utilising this global access, and combining all crucial elements from prior variable researchers who followed a certain methodology, the mission can be completed. The entity mentioned in the statements can thus either be further discovered or both crucial procedures will unquestionably overlook the expression if the appropriate claim outcome occurs. A recoverable deposit of Rs ($1.21) may be needed for fifty pens.

Here,

We can easily calculate the difference in mean grades between two groups by deducting the one-at-a-time group's average grade from the mixed practise group's average grade:

=> 83 - 52 = 31

Consequently, a 31 point difference out of 100 is the best estimate for the mean grade difference between the freshmen whom studied mixed problems and those who studied each learning objective separately.

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According to Siegler, the pattern of learning math concepts involves a gradual development and refinement of strategies. Siegler's theory, known as the overlapping waves model, suggests that learners use multiple strategies simultaneously and gradually shift towards more efficient ones over time. This process allows for a better understanding and application of math concepts, ultimately leading to improved problem-solving skills.

According to Siegler, the pattern of learning math concepts involves a gradual progression from using counting strategies to more efficient and accurate strategies. Children initially rely on counting strategies to solve math problems, such as counting fingers or objects. As they progress, they begin to use more advanced strategies, such as decomposition or mental math, which allow them to solve problems more quickly and accurately. Siegler also emphasizes the importance of practice and repetition in developing math skills and the role of feedback and instruction in promoting learning. Overall, Siegler's theory suggests that children's math skills develop through a combination of innate abilities and environmental factors, including exposure to math concepts and opportunities for practice and instruction in time.

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The probability that a jar contains more than 461 g is 0.2782.

According to the statement

we have given that the standard deviation and the mean and we have to find the probability that a jar contains more than 461 g by normal distribution.

So, For this purpose, we know that the

Normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And now we find the Z - Score, so,

Z = x - mean / standard deviation.

here x is 461 and mean is 455 and the standard deviation is 10.2 g.

So, Substitute the values in it then

Z = x - mean / standard deviation.

Z = 461 - 455 / 10.2

Z = 6 /10.2

Z = 0.589

For this z score the value of the P is

P = 0.7218

And

So the probability we're looking for is,

Probability = 1 - 0.7218

Probability =  0.2782.

So, The probability that a jar contains more than 461 g is 0.2782.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

A jar of peanut butter contains 455 g with a standard deviation of 10.2 g. find the probability that a jar contains more than 461 g. assume a normal distribution.

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Answer:

B

Step-by-step explanation:

y=|x-m|+n

n=0

m=1

y=|x-1|

Answer:

The answer is B.

Step-by-step explanation:

I checked on my calculator.

Hope this helped!

Answer:

Below

Step-by-step explanation:

Find the lenght of ONE round    3520 / 4 = 880 ft

Circumference of a circle = pi * d

                                 880 ft = pi * d

                                    880 ft / pi = d = 280.11 =~ 280 ft

Answer:

12 - 4 + 3 = 11

Step-by-step explanation: