paul owns a mobile wood-fired pizza oven operation. a couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. using the old dough, there were 6 complaints out of 385 pizzas. with the new dough, there were 16 complaints out of 340 pizzas. let p1 be the proportion of customer complaints with the old dough and p2 be the proportion of customer complains with the new dough. based on a 95% confidence for the difference of the proportions, what can be concluded? multiple choice do not reject h0; we cannot conclude the proportion of customer complaints is more for the old dough. reject h0; we cannot conclude the proportion of customer complaints is more for the old dough. reject h0; we can conclude the proportion of customer complaints is more for the old dough. do not reject h0; we can conclude the proportion of customer complaints is more for the old dough.

Answer:

B

Step-by-step explanation:

We know that it costs 37 cents to mail a letter that weighs 1 oz or less. This would mean that for x ≤ 1, P(x) should equal 37. Already, we can eliminate A and D.

We also know that it costs an additional 26 cents for at most another ounce added to the original 1 ounce. This means that for 1 < x ≤ 2, P(x) = 26 + 37 = 63. This is shown by B.

Thus, the answer is B.

~ an aesthetics lover

Answer: 7

The prime numbers here are 3, 5, 7, and 11. This means that 9 is not prime. Since 7 +2 is 9, this disproves that m + 2 is also prime.

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Answer:

true

Step-by-step explanation:

because you can start at zero and go on forever adding twos but it'll still be the same

Answer:

x  = 7.45 inch for the maximum volume.

The area of the square = x² = 7.45² = 55.5025  inch²

Step-by-step explanation:

From the given information:

An open-top box is to be made from a 42-inch by 48-inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side.

The objective is to determine the length of the side x of the square cut out of each corner to get a box with the maximum volume

The volume of the box = l×b×h

The volume of the box = \((42 - 2x) \times (48-2x) \times (x)\)

The volume of the box = \((2016 - 84x - 96x +4x^2)x\)

The volume of the box = \((2016 -180x+4x^2)x\)

The volume of the box = \((2016x -180x^2+4x^3)\)

The volume of the box = \(4x^3 - 180x^2 +2016x\)

For the maximum volume V' = 0

V' = \(12x^2 - 360x + 2016\)

Using the quadratic formula; we have:

\(= \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\)

where;

a = 12 , b = -360 c = 2016

\(= \dfrac{-(-360) \pm \sqrt{(-360)^2 -4(12)(2016)}}{2(12)}\)

\(= \dfrac{360 \pm \sqrt{129600 -96768}}{24}\)

\(= \dfrac{360 \pm \sqrt{32832}}{24}\)

\(= \dfrac{360 \pm 181.196}{24}\)

\(= \dfrac{360 + 181.196}{24} \ \ \ OR \ \ \ \dfrac{360 - 181.196}{24}\)

\(= \dfrac{541.196}{24} \ \ \ OR \ \ \ \dfrac{178.804}{24}\)

\(= 22.55 \ \ \ OR \ \ \ 7.45\)

For the maximum value , we check the points in the second derivative term

V'' = 24x - 360

V'' ( 22.55) = 24(22.55) - 360

V'' ( 22.55) = 541.2 - 360  

V'' ( 22.55) = 181.2   (minimum)

V'' ( 7.45) = 24(7.45) - 360

V'' ( 7.45) = 178.8 - 360  

V'' ( 7.45) = -181.2  < 0  (maximum)

Therefore, x  = 7.45 inch for the maximum volume.

The area of the square = x² = 7.45² = 55.5025  inch²

The maximum volume of a box is the highest volume the box can take.

The side length that ensures maximum volume is 22.55 inches or 7.45 inches.

The dimension of the plastic is:

\(\mathbf{Length = 42}\)

\(\mathbf{Width = 48}\)

Assume the side length cut-out is x

So, the dimension of the box is:

\(\mathbf{Length = 42 - 2x}\)

\(\mathbf{Width = 48 - 2x}\)

\(\mathbf{Height = x}\)

So, the volume of the box is:

\(\mathbf{Volume = Length \times Width \times Height}\)

This gives;

\(\mathbf{Volume = (42 - 2x) \times (48 - 2x) \times x}\)

Expand

\(\mathbf{Volume = (42 - 2x) \times (48x - 2x^2)}\)

Expand

\(\mathbf{Volume = 2016x - 96x^2 - 84x^2 + 4x^3}\)

Differentiate

\(\mathbf{V' = 2016 - 192x - 168x + 12x^2}\)

\(\mathbf{V' = 2016 -360x + 12x^2}\)

Rewrite as:

\(\mathbf{V' = 12x^2 -360x + 2016}\)

Set to 0

\(\mathbf{12x^2 -360x + 2016 = 0}\)

Divide through by 12

\(\mathbf{x^2 -30x + 168 = 0}\)

Using a calculator, the values of x are:

\(\mathbf{x = 22.55\ or\ x = 7.45}\) ------ approximated to 2 decimal places

Hence, the side length that ensures maximum volume is 22.55 inches or 7.45 inches.

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Answer:<EBA=103

Step-by-step explanation:

72+31=103

Answer:

\(\boxed {\tt C. \ m \angle EBA=103}\)

Step-by-step explanation:

∠EBA is made up of 2 angles: ∠ABC and ∠EBC

If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.

m∠EBA= m∠ABC+m∠EBC

The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)

m∠EBA= 72 + 31

Add.

m∠EBA=103

The measure of angle EBA is 103 and choice C is correct.

Line 3: Total payments to all employees: $73,000.00

Line 4: Payments exempt from FUTA tax: $14,000.00

Line 5: Total of payments made to each employee in excess of $7,000: $52,000.00

Line 7: Total taxable FUTA wages: $14,000.00

Line 8: FUTA tax before adjustments: $84.00

Line 13: FUTA tax deposited for the year, including any overpayment applied from a prior year: $336.00

Line 14: Balance due: $0.00

Line 15: Overpayment: $0.00

Line 16a: 1st quarter: $0.00

Line 16b: 2nd quarter: $0.00

Line 16c: 3rd quarter: $0.00

Line 16d: 4th quarter: $84.00

Line 17: Total tax liability for the year: $84.00

Line 3 represents the total payments made to all employees, which in this case is $73,000.00. This includes the earnings of all employees throughout the quarter.

Line 4 represents the payments that are exempt from FUTA tax. In this case, $14,000.00 is exempt from FUTA tax.

Line 5 represents the total of payments made to each employee in excess of $7,000. The amount is calculated as $73,000.00 (total payments) - $14,000.00 (exempt payments) - $52,000.00.

Line 7 represents the total taxable FUTA wages, which is the amount subject to FUTA tax. In this case, it is $14,000.00.

Line 8 represents the FUTA tax before any adjustments, which is calculated as $84.00 based on the given information.

Line 13 represents the total FUTA tax deposited for the year, including any overpayment from a prior year. The amount is $336.00.

Line 14 represents the balance due, which is $0.00 in this case, indicating that there is no additional tax payment required.

Line 15 represents any overpayment, which is $0.00 in this case, indicating that there is no excess tax payment.

Lines 16a, 16b, 16c, and 16d represent the tax liability for each quarter. Based on the information provided, the tax liability for each quarter is $0.00 except for the 4th quarter, which is $84.00.

Line 17 represents the total tax liability for the year, which is also $84.00.

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a. Yes, a geometric distribution is appropriate to use here because we are interested in the number of trials required to obtain the first success

b. The probability function for Y is given by:

P(Y=k) = (4/5)^(k-1) * (1/5)

c. The corresponding distribution function is given by:

F(Y≤k) = 1 - (4/5)^k

d. P(Y=4) = P(Y≤4) - P(Y<4) = 0.671 - 0.512 = 0.159

e. Even though the probability of Y taking a particular value is non-zero (in this case, P(Y=4) is non-zero), the probability of Y taking any single point value is zero (since P(Y=k)=0 for any constant k).

a. Yes, a geometric distribution is appropriate to use here because we are interested in the number of trials required to obtain the first success (opening the lock), where each trial has a constant probability of success (finding the right key) and the trials are independent.

b. The probability function for Y is given by:

P(Y=k) = (4/5)^(k-1) * (1/5)

where k is the trial number (k=1,2,3,...).

c. The corresponding distribution function is given by:

F(Y≤k) = 1 - (4/5)^k

where k is the trial number (k=1,2,3,...).

d. P(Y≤4) = F(Y≤4) = 1 - (4/5)^4 = 0.671

P(Y<4) = F(Y<4) = 1 - (4/5)^3 = 0.512

P(Y=4) = P(Y≤4) - P(Y<4) = 0.671 - 0.512 = 0.159

e. None of the answers in (d) contradict the fact that P(Y=a)=0 for any constant a, because Y is a discrete random variable and the probabilities are for intervals of values (P(Y≤k), P(Y<k), P(Y=k)) rather than single points. Even though the probability of Y taking a particular value is non-zero (in this case, P(Y=4) is non-zero), the probability of Y taking any single point value is zero (since P(Y=k)=0 for any constant k).

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The term "Daily Allowance" refers to a sum of money given to an employee for each day he or she is away from the office, covering the employee's regular daily expenses as a result of the absence.

What are daily expenses?

As the name suggests, basic living expenses are those required for daily existence, with the main categories being housing, food, clothing, transportation, healthcare, and pertinent miscellaneous items.

An allowance in the workplace is money given to a worker to cover costs or make up for certain working circumstances. For instance, many employees receive an allowance to cover the cost of entertainment or vacation. In some circumstances, employees may also be required to accept their allowances.

There are three different classifications of allowances: non-taxable, partially taxable, and taxable.

How to Plan Your Allowance Budget;

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Therefore, the simplified expression is 15p^6r^5.

To simplify this expression, we can use the distributive property and combine like terms.
First, we multiply 3p^2r^4 by 5p^4r:
3p^2r^4 x 5p^4r = 15p^6r^5
So the simplified expression is 15p^6r^5.
To simplify the expression 3p^2r^4 x 5p^4r, we can use the distributive property and combine like terms. Multiplying 3p^2r^4 by 5p^4r gives us 15p^6r^5.

Therefore, the simplified expression is 15p^6r^5.

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She bought three movies and four CD,s and this can be found by doing sum.

we given that price for each movie= 3$.

price for each CD = 2.50$.

The total movies and CD,s bought= 7.

Total dollars spent by her = 19$.

Therefore, the number of movies bought= 3+3+3= 9. ( No. of movies= 3).

similarly, the number of CD,s bought= 2.5+2.5+2.5+2.5= 10.( No. of CD,s= 4).

Hence, out of 19$ , 10 dollars were spent to buy CD,s and the other 9 dollars were spent to buy movies.

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Complete question:- During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $19 and bought a total of 7 movies and CDs. How many of each did she buy?

This is because when there is no correlation, the variation in y cannot be explained by the variation in x, leaving a lot of room for error. the error variance for the linear model

a) If the correlation between x and y is 1, it means that the two variables have a perfect positive linear relationship. In this case, the error variance for the linear model would be 0. This is because when there is a perfect correlation, all the variation in y can be explained by the variation in x, leaving no room for error. Therefore, the error variance would be 0.

b) If the bet correlation ween x and y is 0, it means that the two variables have no linear relationship. In this case, the error variance for the linear model would be the sum of the variances of x and y. This is because when there is no correlation, the variation in y cannot be explained by the variation in x, leaving a lot of room for error. Therefore, the error variance would be the sum of the variances of x and y, which is 49+4=53.

a) If the correlation between x and y is 1, the value of the error variance for your linear model would be 0. This is because a correlation of 1 indicates a perfect positive linear relationship between x and y, meaning there is no error or deviation from the predicted values of y based on the linear model.

b) If the correlation between x and y is 0, the value of the error variance would be equal to the variance of y. This is because a correlation of 0 indicates that there is no linear relationship between x and y, meaning that the linear model provides no predictive value for y. In this case, the error variance is equal to the variance of y, which can be calculated by squaring the standard deviation of y (2^2 = 4).

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Answer:

$120

Step-by-step explanation:

Since she starts with 105, then deposited 45, you can add them to get: 150.

She withdrew 50, so:150-50=100

Then she deposited 20, so 100+20=120

The average amount of fluid consumed is 35.7 oz of fluid each day.

We have to note that in this case of the question, we have the following information;

When we convert the galloons to oz, we can see that the amounts of the milk and the water are actually 64 oz and 128 oz respectively.

Total fluid consumed in the week = 64 oz + 6 0z + 128 oz + 52 oz

= 250 oz

The average amount of fluid that is consumed per day is; 250 oz/7

= 35.7 oz of fluid each day.

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Answer:

B) 5

Step-by-step explanation:

   AB = 4 units

  BC = 3 units

Use Pythagorean theorem to find the length of AC,

                AC² = AB² + BC²

                      = 4² + 3²

                       = 16 + 9

                       = 25

                  \(AC = \sqrt{25}\\\\\)

                 AC = 5 units

Answer:

9/14

Step-by-step explanation:

add them

Given that e1 and e2 have a high spearman correlation, what we can say about the Pearson correlation of e1 and e2 is; The Pearson correlation must be high

A correlation coefficient is defined as the measurement of the extent to which two variables tend to change together.

Now, the Pearson correlation is the type that evaluates the linear relationship that exists between two continuous variables. A relationship is said to be linear as a result of a change in one variable being associated with a proportional change in the other variable.

Meanwhile, the spearman correlation is one that evaluates the monotonic relationship between two continuous or ordinal variables.

If the relationship described above tells us that one variable increases when the other increases, but then the amount is not consistent, then it means that the Pearson correlation coefficient is positive but less than +1. However, the Spearman coefficient still equals +1 in this case.

Thus, we conclude that as the spearman correlation is high, then the Pearson correlation is also high.

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We can write (15 + 45) as a product of 2 factors using GCF and the distributive property 15(1 + 3).

We are given the following expression-

15 + 45

Now, we can factorize 15 into prime factors as follows -

= 3 × 5 (15 × 1)

Similarly, we can factorize 45 into prime factors as follows -

= 3 × 3 × 5 (15 × 3)

Thus, the greatest common factor of 15 and 45 is 15, so we can

= 15 × 1 = 15 and 15 × 3 is 45

Hence, we can write (15 + 45) as 15(1 + 3).

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We have the following:

In this case, what we must do is calculate the weighted average, as follows:

The mean salary is $28112

i) 170 students did not like any of the three types of music.

ii) 30 students liked any two types only.

iii) 36 students liked folk music but not rock music.

To solve this problem, we can use the principle of inclusion-exclusion.

Let's define the following events:

A: Liked rock music

B: Liked folk music

C: Liked classical music

We are given the following information:

|A| = 114 (number of students who liked rock music)

|B| = 50 (number of students who liked folk music)

|C| = 41 (number of students who liked classical music)

|A ∩ B| = 14 (number of students who liked both rock music and folk music)

|A ∩ C| = 15 (number of students who liked both rock music and classical music)

|B ∩ C| = 11 (number of students who liked both folk music and classical music)

|A ∩ B ∩ C| = 5 (number of students who liked all three types of music)

(i) To find the number of students who did not like any of the three types of music, we need to find the cardinality of the complement of the union of A, B, and C. Using the principle of inclusion-exclusion:

|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|

|A ∪ B ∪ C| = 114 + 50 + 41 - 14 - 15 - 11 + 5 = 170

So, 170 students did not like any of the three types of music.

(ii) To find the number of students who liked any two types only, we need to find the cardinality of the symmetric difference of (A ∩ B), (A ∩ C), and (B ∩ C). Using the principle of inclusion-exclusion:

| (A ∩ B) ∪ (A ∩ C) ∪ (B ∩ C) | = |A ∩ B| + |A ∩ C| + |B ∩ C| - 2 |A ∩ B ∩ C|

| (A ∩ B) ∪ (A ∩ C) ∪ (B ∩ C) | = 14 + 15 + 11 - 2 * 5 = 30

So, 30 students liked any two types only.

(iii) To find the number of students who liked folk music but not rock music, we need to find the cardinality of B ∩ (A complement). Using the principle of inclusion-exclusion:

|B ∩ (A complement)| = |B| - |A ∩ B|

|B ∩ (A complement)| = 50 - 14 = 36

So, 36 students liked folk music but not rock music.

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Answer:

$21

Step-by-step explanation:

$20 for the 500 minutes

We still have to pay for 10 minutes.

10 cents per minute.

10centsx10 minutes.

100 cents, also known as 1 dollar.

$20 plus $1 means the answer is $21.

Hope this helps!

-AxekickNebulite

The given statement, "Suppose a hypothesis test was performed with a level of significance of 0.05. Then if the null hypothesis is actually true, then there is a 5% chance that the researcher will end up accepting the alternative hypothesis in error," is true (T).

The statement above is true, as the level of significance, which is typically set at 0.05, represents the probability of rejecting the null hypothesis when it is actually true, thus accepting the alternative hypothesis in error.

A hypothesis test involves making a decision between two hypotheses: the null hypothesis, which assumes that there is no effect or relationship between the variables being studied, and the alternative hypothesis, which assumes that there is a significant effect or relationship.

The level of significance is the threshold that the researcher sets to determine whether the observed data provides enough evidence to reject the null hypothesis and accept the alternative hypothesis.

However, it is important to note that a statistically significant result does not necessarily mean that the alternative hypothesis is true; it simply suggests that the observed data is unlikely to have occurred by chance under the assumption that the null hypothesis is true.

Additionally, other factors such as the sample size, the quality of the data, and the study design should also be taken into consideration when interpreting the results of a hypothesis test.

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\(9.6\times 10^9~~ = ~~(2\times 10^5)(4.8\times 10^n)\implies \cfrac{9.6\times 10^9}{2\times 10^5}~~ = ~~4.8\times 10^n \\\\\\ \cfrac{9.6}{2}\times \cfrac{10^9}{10^5}~~ = ~~4.8\times 10^n\implies 4.8\times 10^{9-5}~~ = ~~4.8\times 10^n \\\\\\ 4.8\times 10^4~~ = ~~4.8\times 10^n\implies \cfrac{4.8\times 10^4}{4.8}=10^n\implies \cfrac{4.8}{4.8}\times 10^4=10^n \\\\\\ 1\times 10^4=10^n\implies 10^4=10^n\implies 4 = n\)

Answer: 1. 2 2. 4 3. 9

Step-by-step explanation: Hi there!

First, we need to set up our equation by combining like terms.

x+2x+4x+1=15

7x+1=15

Then subtract 1 on both sides

7x=14

Then divide by 7

x=2

So x=2

Put that into all of the x values on the piece of steel to get 2, 4, 9.

Hope this answer helps you!

The ratio 6:14 represents the number of cases of black ink to the number of cases of blue ink. This means that for every 6 cases of black ink, there are 14 cases of blue ink. The ratio does not give any information about the total number of cases of ink, only the relative proportions of black ink to blue ink.

The ratio 6:14 represents the number of cases of black ink to the number of cases of blue ink that are being sold at the art supply store. This means that for every 6 cases of black ink that are sold, there are 14 cases of blue ink sold. The ratio does not give any information about the total number of cases of ink that are being sold, only the relative proportions of black ink to blue ink.

For example, if the art supply store is selling a total of 20 cases of ink, the ratio of 6:14 could represent 6 cases of black ink and 14 cases of blue ink, or 12 cases of black ink and 28 cases of blue ink. In both cases, the ratio of black ink to blue ink would be the same, but the total number of cases of ink being sold would be different.

Understanding ratios like 6:14 can be useful for comparing the relative proportions of different quantities, such as the sales of different products or the proportions of different ingredients in a recipe.

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Answer:

for 6 weeks 15 + 15 + 15 + 15 + 15 + 15 = 90

for 10 weeks = 150

for 14 weeks = 210

Step-by-step explanation:

i did 15 because they said tripling it every week so 5 x 3 = 15 for 1 week now 15 x 6 = 90 and so on...

hope this helps

Answer:  x= .448

Step-by-step explanation:

\(0.5*e^{4x} =13\)                                   >Divide both sides by .5

\(e^{4x} =26\)                                           >take ln of both sides

\(log_{e} 26 = 4x\)                                      >put in log form

x = \((log_{e} 26)/4\)

x= .815                                 >from calculator

Answer:

yes

Step-by-step explanation:

Answer:

44.75

Step-by-step explanation:

2.50×5=12.50.

12.50+32.25=44.75.

hope you have a nice day/night

2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.

Now, calculate the probability as follows:

Then, it can be either KK or QQ.

So required probability = 2king or 2 queen

Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.

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-8+40t

Step-by-step explanation:

You can solve this by distributing the -8 to both the 1 and -5t. Distributing the -8 to the 1 would get you -8, and distributing it to the -5t would get you 40t, as two negatives multiplied together make a positive.