Nya wants to buy a sweater that had an original price of $55. The sweater is now discounted 20% and the sales tax rate is 5.5%. How much will Nya pay for a sweater

There is insufficient evidence to claim that the proportion of yellow peas is different from 23%.

The null and alternative hypotheses are H0: p = 0.23 and H1: p ≠ 0.23.

ResolutionA genetic experiment involving peas yielded one sample of offspring consisting of 437 green peas and 175 yellow peas.

We can find the standard error for the sample proportion as follows:SEp = sqrt [ p ( 1 - p ) / n ]SEp = sqrt [ 0.23 ( 1 - 0.23 ) / ( 437 + 175 ) ]SEp = sqrt ( 0.23 × 0.77 / 612 )SEp = sqrt ( 0.00166 )SEp = 0.0408.

The test statistic is a standard normal random variable,

so we can find the z score as follows:z = ( p - P ) / SEpz = ( 175 / 612 - 0.23 ) / 0.0408z = - 0.0141 / 0.0408z = - 0.345The probability of getting a z score less than or equal to - 0.345 is P ( Z ≤ - 0.345 ) = 0.3657. The P-value for the two-tailed test is P = 2 × 0.3657 = 0.7314.

The main answer is that, since the P-value (0.7314) is greater than the significance level (0.05), we fail to reject the null hypothesis H0: p = 0.23. T

here is insufficient evidence to claim that the proportion of yellow peas is different from 23%.

The null and alternative hypotheses are H0: p = 0.23 and H1: p ≠ 0.23.

The null hypothesis states that the proportion of yellow peas is equal to 23%, whereas the alternative hypothesis states that the proportion of yellow peas is not equal to 23%.

The significance level is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is true.The test statistic is a standard normal random variable, which is used to calculate the P-value.

The P-value for the two-tailed test is P = 2 × 0.3657 = 0.7314. Since the P-value (0.7314) is greater than the significance level (0.05), we fail to reject the null hypothesis H0: p = 0.23.

There is insufficient evidence to claim that the proportion of yellow peas is different from 23%.

In conclusion, based on the results of the hypothesis test, we cannot reject the null hypothesis that the proportion of yellow peas is equal to 23%. Therefore, we conclude that under the same circumstances, 23% of offspring peas will be yellow.

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Answer:

they could've walked 4 miles east to make the trip quicker. Would look alot nicer if i had grid paper

Step-by-step explanation:

_ _ _ _

| |

_ _ _ | |

In order to find the equivalent expression, let's expand the term in parenthesis:

So the correct option is A.

When a previous result is found to be an error and a corrected result is obtained, it is important to appropriately handle and document the old result. Here are some steps to consider:

1. Acknowledge the error: Clearly identify and acknowledge that the previous result was incorrect. It is important to be transparent and honest about the mistake.

2. Retract or correct the old result: Communicate the error and provide the corrected result. This can be done through formal channels, such as retracting a publication or notifying relevant parties about the correction. Make sure the corrected information reaches the appropriate audience.

3. Provide an explanation: Offer an explanation of why the error occurred. Was it a calculation mistake, data entry error, or any other factor that led to the incorrect result? Providing an explanation can help prevent similar errors in the future and maintain trust in the accuracy of your work.

4. Update relevant documentation: Update any reports, documents, or records that include the old result. Ensure that the corrected result is reflected in all relevant materials to avoid confusion and provide accurate information to others who may refer to those documents.

5. Learn from the mistake: Take the opportunity to learn from the error and implement measures to prevent similar mistakes in the future. This may include double-checking calculations, implementing quality control processes, or seeking feedback and review from colleagues.

By acknowledging the error, correcting the result, and taking steps to prevent similar mistakes in the future, you can maintain integrity and trust in your work.

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Answer: it 1 or 2

Step-by-step explanation:

Answer:

\(6b\)

Step-by-step explanation:

\(6b(2a - 1) \\ (6b \times 2a) + (6b \times - 1) \\ = 12ab - 6b\)

All the missing angles of the triangles are;

m∠1 =  50°

m∠4 = m∠2 = 30°

m∠3 = 50°

m∠5 = 40°

m∠6 = 50°

m∠7 = 90°

We know that the sum of angles in a triangle is 180 degrees. Thus;

m∠1 = 180 - (90 + 40)

m∠1 =  50°

We know that sum of angles on a straight line is 180 degrees. Thus;

m∠4 = m∠2 = 180 - 50

m∠4 = m∠2 = 30°

Now, opposite angles are equal and as such;

m∠1 =  m∠3 = 50°

Using the first concept, we can say that;

m∠5 = 180 - (90 + 50)

m∠5 = 40°

Similarly,

m∠6 = 90 - 40

m∠6 = 50°

Similarly,

m∠7 = 90°

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The values in the x column of the original table become the values in the y column of the inverse table, and vice versa.

To find the inverse of a function, we switch the x and y values and solve for y. The table for y = f(x) is given as:

x | -4 | -3 | -2 | -1 | 0 | 1 |

•-|----|----|----|----|----|----|

f(x)| 5 | -5 | 15 | 25 | 35 | 45 |

To find the inverse function, we switch the x and y values and solve for y. The new table for y = f-1(x) is:

x | 5 | -5 | 15 | 25 | 35 | 45 |

•-|----|----|----|----|----|----|

f-1(x)| -4 | -3 | -2 | -1 | 0 | 1 |

The values in the x column of the original table become the values in the y column of the inverse table, and vice versa. We can see that the values in the x column of the inverse table are in ascending order from -4 to 1, which is the same as the original table.    

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Complete Question:

Use the table of values for y = f(x) to complete a table for y = f-1(x). (Order your answers from smallest to largest x-value Х-4-3-2-101 f(x)5-5-15-25-35-45 х-4 X0f-1(x).

The MATLAB commands polyfit, polyval and plot data is used .

To determine the cubic fit for the given data using MATLAB commands, we can use the polyfit and polyval functions. Here's the code to accomplish that:

x = [10 20 30 40 50 60 70 80 90 100];

y = [10.5 20.8 30.4 40.6 60.7 70.8 80.9 90.5 100.9 110.9];

% Perform cubic curve fitting

coefficients = polyfit( x, y, 3 );

fitted_curve = polyval( coefficients, x );

% Plotting the data and the fitting curve

plot( x, y, 'o', x, fitted_curve, '-' )

title( 'Fitting Curve' )

xlabel( 'X-axis' )

ylabel( 'Y-axis' )

legend( 'Data', 'Fitted Curve' )

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The complete question is :

Using the curve fitting technique, determine the cubic fit for the following data. Use the MATLAB commands polyfit, polyval and plot (submit the plot with the data below and the fitting curve). Include plot title "Fitting Curve," and axis labels: "X-axis" and "Y-axis."

x = 10 20 30 40 50 60 70 80 90 100

y = 10.5 20.8 30.4 40.6  60.7 70.8 80.9 90.5 100.9 110.9

The length of the garden will increase by 2.5 feet.

5.1. What does x represent in this situation?The length and the width of Isaiah's vegetable garden are to be increased, which can be denoted by the variable "x". The length and the width of the new garden would be (15 + x) and (5 + x), respectively.5.2. Write an equivalent expression that uses fewer terms.The given expression is:(x + 15) + (x + 5) + (x + 15) + (x + 5)Multiplying all terms by 2, we get:2x + 30 + 2x + 10 = 4x + 40Therefore, an equivalent expression that uses fewer terms is 4x + 40.5.3. How much will the length of Isaiah's garden increase by if he uses 50 feet of fencing in total?

The total length of the new fence is given by the expression:4x + 40 = 50Subtracting 40 from both sides of the equation:4x = 10Dividing by 4 on both sides of the equation:x = 2.5 feetTherefore, the width and the length of the new garden would be (5 + 2.5) = 7.5 feet and (15 + 2.5) = 17.5 feet, respectively. Thus, the length of the garden will increase by 2.5 feet.

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Step-by-step explanation:

the slope-intercept form of a line (= linear function) is

y = ax + b

"a" is the slope of the line and represents the ratio "y coordinate change / x coordinate change" when going from one point to another on the line.

"b" is the y-intercept (the y value when x = 0; in other words, the y value where the line intercepts the y axis).

so, for the slope, let's compare 2 points. and let's pick just the first 2.

(1, 8) to (2, 11).

x changes by +1 (from 1 to 2).

y changes by +3 (from 8 to 11).

so, the slope is +3/+1 = 3/1 = 3

and our equation looks like

y = 3x + b

to get b, we use one point. I pick the first one for the smallest numbers :

8 = 3×1 + b = 3 + b

5 = b

the full line equation is therefore

y = 3x + 5

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Out of a whole population, a sample is a small part which is considered for any survey.  

The population in this case would be all the one-bedroom apartments available for rent near the college.

The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.

Sample: listings in a local newspaper and on an Internet site              

Population: all available apartments near the college          

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The error occurred in step 1

The justification for solving the equation -2(t + 3) + 4 = 12 + 6t is below;

2 |a + 1| = 5

Step 1:

2 |a + 1| = 5 or 2 |a + 1| = -5

2a + 2 = 5 or 2a + 2 = -5

combine like terms

2a = 5 - 2 or 2a = -5 - 2

2a = 3 or 2a = -7

divide both sides by 2

a = 3/2 or a = -7/2

2.

-2(t + 3) + 4 = 12 + 6t original equation

-2t - 6 + 4 = 12 + 6t Distributive property

-2t - 2 = 12 + 6t Addition property of equality

-2t - 2 - 6t = 12 + 6t - 6t Subtraction property of equality

-8t - 2 + 2 = 12 + 2 combine like terms

-8t / -8 = 14 / -8 Division property of equality

t = 14/-8 solution

t = 7/-4 simplified solution

Therefore, the equation -2(t + 3) + 4 = 12 + 6t has a simplified solution of t = 7/-4

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Answer:

huh

Step-by-step explanation:

1. The given statement is False.

2. The given statement is False.

3. The given statement is True.

False. The CLT states that the sample mean approaches a normal distribution as the sample size increases, regardless of the population distribution being sampled from.

False. An increasing trend in a time plot suggests that there is a relationship between the observations, but it does not necessarily imply that they are not iid. Additional tests or analyses would be needed to confirm or refute independence.

Correct. μ is defined as the population means salary for statisticians who have limited work experience, which is the parameter being tested in the hypotheses.

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Let the number be x

#1

\(\\ \sf\longmapsto x^3=216\)

\(\\ \sf\longmapsto x^3=6^3\)

\(\\ \sf\longmapsto x=6\)

#2

\(\\ \sf\longmapsto \sqrt[3]{27}=3\)

#3

\(\\ \sf\longmapsto \sqrt[3]{-8}=2i\)

#4

\(\\ \sf\longmapsto -\sqrt[3]{125}=-5\)

#5

\(\\ \sf\longmapsto -\sqrt[3]{-343}=-7i\)

#6

\(\\ \sf\longmapsto \sqrt[3]{\dfrac{27}{1000}}=\dfrac{3}{10}\)

Answer:

-9, 15

Step-by-step explanation:

a) The probability that the length of a randomly selected axle is less than 595 mm is approximately 0.3528.

b) The probability that the mean length of 20 axles is less than 595 mm is extremely low.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center.

(a) Using the normal distribution with mean μ = 597 mm and standard deviation σ = 5.3 mm, we can calculate the z-score for a length of 595 mm:

z = (x - μ) / σ

= (595 - 597) / 5.3

= -0.3774

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -0.3774 is 0.3528.

Therefore, the probability that the length of a randomly selected axle is less than 595 mm is approximately 0.3528.

(b) The mean of a sample of 20 axles will also follow a normal distribution, with mean μ = 597 mm and standard deviation σ = 5.3 / sqrt(20) = 1.1847 mm (using the formula for the standard deviation of the sample mean).

To find the probability that the mean length of 20 axles is less than 595 mm, we can calculate the z-score for this value:

z = (x - μ) / (σ / √(n))

= (595 - 597) / (5.3 / √(20))

= -4.1054

Using a standard normal distribution table or calculator, we can find that the probability that a z-score is less than -4.1054 is essentially 0.

Therefore, the probability that the mean length of 20 axles is less than 595 mm is extremely low.

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Answer:

here you go!!

Speech club: y = 120x+-150

Science club: y = 90 x

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

• The speech club is selling calendars for $12 each. It originally had to pay $150 in printing fees, and the members plan to sell 10 calendars each day.  [ 12*10 -150]

• The science club is offering individual tutoring sessions for $15 per session.[6*15]

The club has no start-up costs, and plans to provide 6 sessions per day.

Speech club: y = 120x+-150

Science club: y = 90 x

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Step-by-step explanation:

\(\mathsf{Given :\;\dfrac{{sec}^2\theta - co{sec}^2\theta}{{sec}^2\theta + co{sec}^2\theta}}\)

\(\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{{sec}\theta = \dfrac{1}{cos\theta}}}}\)

\(\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{co{sec}\theta = \dfrac{1}{sin\theta}}}}\)

\(\mathsf{\implies \dfrac{\dfrac{1}{cos^2\theta} - \dfrac{1}{sin^2\theta}}{\dfrac{1}{cos^2\theta} + \dfrac{1}{sin^2\theta}}}\)

\(\mathsf{\implies \dfrac{\dfrac{sin^2\theta - cos^2\theta}{sin^2\theta.cos^2\theta}}{\dfrac{sin^2\theta + cos^2\theta}{sin^2\theta.cos^2\theta}}}\)

\(\mathsf{\implies \dfrac{sin^2\theta - cos^2\theta}{sin^2\theta + cos^2\theta}}\)

Taking sin²θ common in both numerator & denominator, We get :

\(\mathsf{\implies \dfrac{sin^2\theta\left(1 - \dfrac{cos^2\theta}{sin^2\theta}\right)}{sin^2\theta\left(1 + \dfrac{cos^2\theta}{sin^2\theta}\right)}}\)

\(\bigstar\;\;\textsf{We know that : \large\boxed{\mathsf{cot\theta = \dfrac{cos\theta}{sin\theta}}}}\)

\(\mathsf{\implies \dfrac{1 -cot^2\theta}{1 + cot^2\theta}}\)

\(\mathsf{Given :\;cot\theta = \dfrac{1}{\sqrt{5}}}\)

\(\mathsf{\implies \dfrac{1 - \left(\dfrac{1}{\sqrt{5}}\right)^2}{1 + \left(\dfrac{1}{\sqrt{5}}\right)^2}}\)

\(\mathsf{\implies \dfrac{1 - \dfrac{1}{5}}{1 + \dfrac{1}{5}}}\)

\(\mathsf{\implies \dfrac{\dfrac{5 - 1}{5}}{\dfrac{5 + 1}{5}}}\)

\(\mathsf{\implies \dfrac{5 - 1}{5 + 1}}\)

\(\mathsf{\implies \dfrac{4}{6}}\)

\(\mathsf{\implies \dfrac{2}{3}}\)

Hence, option (a) 2/3 is your correct answer.

Answer:

is it jazly 2279 together then g mail?

Step-by-step explanation:

Answer:

127.3

Step-by-step explanation:

​

T≈127.333≈127.3

∘

Answer:

     A B E

Step-by-step explanation:

Points D and C would be where the circle and arc are intersected is for the distance between Crumb A and Crumb B.

How can we depict Bertie's route?

Following are the procedures to follow in order to calculate points C and D:

Thus, the path for the Bertie walks from Crumb A and Crumb B​ is made.

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The Complete Question:

Bertie Beetle walks so that he is always exactly 1.3 cm from Crumb A. Adam Ant walks so that he is always exactly 3.5 cm from Crumb B. There are only two points at which they can meet - mark the points with crosses.

Based on the survey results, we can predict that approximately 6,820 of the travel agency's 12,400 travelers will vacation overseas the following year.

Based on the survey results, we know that 55% of the travel agency's customers were planning an overseas vacation the following year.

To predict how many of the agency's 12,400 travelers will vacation overseas, we can use this percentage to estimate the number.

First, we calculate 55% of 12,400 to find the approximate number of customers planning an overseas vacation:

55% of 12,400 = 0.55 × 12,400

= 6,820

It's important to note that this prediction is based on the assumption that the survey is representative of the entire customer base of the travel agency and that the customers' vacation plans will remain unchanged. There may be other factors that could affect the actual number of travelers vacationing overseas, such as economic conditions, travel restrictions, or personal circumstances.

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To determine the unit requirements for producing A and C from D and E, the problem provides a product structure and inventory information. The number of units of D needed to make one unit of A is not explicitly given. However, it can be inferred by analyzing the product structure and inventory quantities. The number of units of D needed to make one unit of C is also not directly specified. However, by examining the product structure, we can determine the relationship between C and D. Finally, to produce 10 units of A, the number of units of E required can be calculated based on the given inventory levels and the product structure.

a) the number of units of D required to make one unit of A is not explicitly stated. The given information provides a product structure that includes A, B, D, E, and C. To determine the unit requirements for A, it would be necessary to examine the specific relationship between A and D. However, without this information, the exact number of units of D needed for one unit of A cannot be determined.
b) similarly, the number of units of D required to make one unit of C is not explicitly given in the problem statement. To determine this relationship, the product structure needs to be examined more closely. The information provided suggests that C is connected to D through E. However, the exact quantity of D required to produce one unit of C cannot be determined without additional information.
c) To calculate the number of units of E needed to produce 10 units of A, we can analyze the given inventory levels and product structure. The problem states that there are 5 units of D available. To produce A, we require B and E. However, the number of units of B available is not specified. Considering the product structure, it is indicated that each unit of A requires 2 units of B and 2 units of E. Thus, to produce 10 units of A, we would need 20 units of B and 20 units of E. However, since the availability of B is unknown, the exact number of units of E needed cannot be determined with the given information.

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