QUESTION 2 The sample standard deviation (s) is a better estimate of the population standard deviation for samples. O a. Small O b. Normal c. Large O d. Non-normal

Answer:

2334

Step-by-step explanation:

Answer:

0.75n

Step-by-step explanation:

3/4 = 0.75 so the find the amount of bananas you multiply the strawberries by 0.75.

Answer:

y=1/2x-1

Step-by-step explanation:

Answer:

In right angled triangle ABC

tan 26=perpendicular/base

tan26 =BC/1050

BC=1050×tan26=512.12m

again

In right angled triangle ADE

tan 38=perpendicular/base

tan38×700=DE

DE=546.9=547m

now

difference in height =547-512.12m=34.8m=35m

35 m is your answer

Josh sees two hot air balloons in the sky as shown. 35m higher is the balloon on the right than the balloon on the left.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Josh sees two hot air balloons in the sky as shown.

He determines that the lower hot air balloon is 700 meters away, at an angle of 38 from the vertical.

The higher hot air balloon is 1050 meters away, at an angle of 26 from the vertical.

In right-angled triangle ABC

tan Ф = perpendicular/base

tan26 = BC/1050

BC = 1050 × tan26

BC = 512.12m

In right-angled triangle ADE

tan Ф = perpendicular/base

tan 38 = perpendicular/base

tan38 × 700 = DE

DE = 546.9

DE = 547m

The difference in height = 547 - 512.12m

                                        =34.8m

                                       = 35m

Therefore, 35m higher is the balloon on the right than the balloon on the left.

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The total urine patient/client has been measuring at home is 2.838 liters.

Given that,

the patient/client has been measuring urine at home with a quart milk carton and states voiding 1 quarts 2 days ago and 2 quarts yesterday.

We know that 1 quart = 0.946 litre

and 2 quarts = 1.892 litre

Therefore total amount = 0.946 + 1.892

                                       = 2.838

Hence the total urine patient/client has been measuring at home is 2.828 litres.

What is Quart?

The quart is an English unit of volume equal to a quarter gallon. It is a quarter of a gallon. Measurement of volume, capacity. Its unit of measurement for liquids, equal to approximately 1.14 litres in the UK, or 0.95 litrs in the US.

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The rate of change in the submarine's elevation is given by 7.87 feet per second approximately.

Given that the initial depth of the submarine = 198 feet

The final depth of the submarine = 316 feet.

The submarine takes 15 seconds to reach the final depth to initial depth.

The elevation of the submarine = (316-198) = 118 feet

So the rate of change = 118/15 = 7.87 feet/second (approximately)

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Answer:

-30

Step-by-step explanation:

i am not sure just remember getting taught it.

Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

The mechanism for the hydrolysis of γ-butyrolactone under acidic conditions is illustrated below.

Under acidic conditions, the hydrolysis of γ-butyrolactone proceeds through an acid-catalyzed nucleophilic addition-elimination mechanism. The acidic environment provides a proton that can protonate the carbonyl oxygen, making it more susceptible to nucleophilic attack. The hydrolysis reaction involves the following steps:

1. Protonation of the carbonyl oxygen: The carbonyl oxygen of γ-butyrolactone (γ-BL) is protonated by the acid present in the solution, forming a positively charged oxygen atom.

2. Nucleophilic attack: Water (H₂O) acts as a nucleophile and attacks the positively charged oxygen atom, leading to the formation of a tetrahedral intermediate. The nucleophilic attack is favored by the partial positive charge on the oxygen atom.

3. Proton transfer: In this step, a proton is transferred from the tetrahedral intermediate to the water molecule, generating a hydronium ion (H₃O⁺) and a hydroxide ion (OH⁻).

4. Elimination: The hydroxide ion (OH⁻) acts as a base and abstracts a proton from the carbon adjacent to the carbonyl group, resulting in the formation of a carbonyl group and a water molecule.

The net result of this mechanism is the hydrolysis of γ-butyrolactone to yield a carboxylic acid and an alcohol product. The mechanism involves the acid-catalyzed addition of water to the carbonyl carbon followed by elimination of a hydroxide ion.
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a) Possible sources of bias include human error in reading the tape measure, tape measure stretching or shrinking over time, and the angle of the tape measure affecting the measurement. b) A cloth tape is more subject to bias. c) The bias in a cloth tape may change over time due to stretching or shrinking.

a) Possible sources of bias when using a tape measure could include: inaccurate or worn markings on the tape, parallax error due to viewing the tape at an angle, inconsistent tension on the tape, or user error in lining up the tape measure with the object being measured.

b) A cloth tape is generally more subject to bias than a steel tape because it is more likely to stretch or shrink with use and temperature changes, leading to inaccuracies in measurement.

c) Yes, the bias in a cloth tape may change over time due to stretching, shrinking, or wear and tear. It is important to regularly check and calibrate tape measures to ensure accurate measurements.

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An equation is formed when two equal expressions. The correct option is B.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of quarters be represented by q, and the number of pennies is represented by p. Therefore, the total number of pennies can be written as,

p + q = 44

The value of the pennies and quarters can be written as,

0.25q + 0.01p = 4.28

Hence, the correct option is B.

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Answer:

Step-by-step explanation:

2 x 8f + 2 x 9g  2 x -4

16f + 18g -8

Step-by-step explanation:

If A is acute, cos (180 - A) = - cos A (because the coordinates would be in 2nd quadrant)

If A is right angle, cos (180 - 90) = cos 90 = 0

(because the coordinates would be on y-axis)

If A is obtuse, cos (180 - A) = + cos A (because the coordinates would be in 1st quadrant)

Answer:

x=47

Step-by-step explanation:

Let's solve your equation step-by-step.

180=x+3x−8

Step 1: Simplify both sides of the equation.

180=x+3x−8

180=x+3x+−8

180=(x+3x)+(−8)(Combine Like Terms)

180=4x+−8

180=4x−8

Step 2: Flip the equation.

4x−8=180

Step 3: Add 8 to both sides.

4x−8+8=180+8

4x=188

Step 4: Divide both sides by 4.

4x4=1884

x=47

Answer:

Step-by-step explanation:

Numbers: HCF of 18 and 30

18: 2 * 3 * 3

30:2 * 3 * 5

HCF: 2 and 3 = 6

a: a * a and a.

HCF = a

b: b

c: c and c*c

HCF: C

Answer: 6*a*b*c(3a + 5*c)

Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.

\(\tt Step-by-step~explanation:\)

To solve for x, we need to know that the angles inside of a triangle is always equal to 180º.

\(\tt Steps:\)

Since all the angles added together are equal to 180º, we simply have to add the two given angles and subtract that from 180º.

\(\tt 43+60=103\\180-103=77\\x=77\)

\(\large\boxed{\tt Our~final~answer: ~x=77}\)

Answer:

1 true

2 false

3 false

4 true

Answer:

Work shown below;

Step-by-step explanation:

Factor by grouping:

\(x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)\)

The square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500 square mils.

To find the square mil area for a 2 inch wide by 1/4 inch thick copper busbar, we need to multiply the width and thickness of the busbar in mils.

1 inch = 1000 mils

So, the width of the busbar in mils = 2 inches x 1000 mils/inch = 2000 mils

And, the thickness of the busbar in mils = 1/4 inch x 1000 mils/inch = 250 mils

Therefore, the square mil area of the copper busbar = width x thickness = 2000 mils x 250 mils = 500,000 square mils.

Hence, the square mil area for a 2 inch wide by 1/4 inch thick copper busbar is 500,000 square mils.

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Therefore, the critical points of the function f(x) =−x³ + 6x² + 15x +4, x € R are -1 and 5, and they are local minima and maxima, respectively.

The critical points of the function

f(x) =−x³ + 6x² + 15x +4, x € R are the points where the derivative of the function is zero or undefined.

The function f(x) is a polynomial of degree 3, so its derivative f'(x) is a polynomial of degree 2.

Hence, we can find the critical points of the function by solving the equation f'(x) = 0.

We can write the derivative of the function as follows:

f'(x) = -3x² + 12x + 15

Setting f'(x) = 0, we get

-3x² + 12x + 15 = 0

Dividing both sides of the equation by -3, we get

x² - 4x - 5 = 0

This is a quadratic equation, which can be solved using the quadratic formula as follows:

x = [-b ± √(b² - 4ac)]/2a,

where a = 1, b = -4, c = -5.

Substituting these values in the formula, we get

x = [-(-4) ± √((-4)² - 4(1)(-5))]/2(1)

x = [4 ± √(16 + 20)]/2= [4 ± √36]/2

x = [4 ± 6]/2

x = -1 or 5

Hence, the critical points of the function f(x) are -1 and 5.

To determine whether these points are minima or maxima, we can use the second derivative test.

The second derivative of the function is

f''(x) = -6x + 12

At the critical point x = -1, we have

f''(-1) = -6(-1) + 12 = 18, which is positive.

Therefore, the critical point x = -1 is a local minimum of the function.

At the critical point x = 5, we have f''(5) = -6(5) + 12 = -18, which is negative.

Therefore, the critical point x = 5 is a local maximum of the function.

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The mean of the stock is 0.385 and the median is 0.665

Given data ,

To find the mean, median, and mode of the changes in stock value, we can use the following steps:

Sort the changes in stock value in ascending order:

-13.78, -3.01, -2.41, -0.28, 0.67, 0.66, 1.05, 1.39, 2.03, 2.20, 2.64, 4.02

Now , to calculate the mean:

Mean = (sum of all values) / (number of values)

Mean = (-13.78 - 3.01 - 2.41 - 0.28 + 0.67 + 0.66 + 1.05 + 1.39 + 2.03 + 2.20 + 2.64 + 4.02) / 12

Mean ≈ 0.385

Now , to calculate the median:

Since we have 12 values, the median will be the average of the 6th and 7th values in the sorted list.

Median = (0.67 + 0.66) / 2

Median ≈ 0.665

Now , to calculate the mode:

The mode is the value that appears most frequently in the list. In this case, there is no value that appears more than once, so there is no mode.

Hence , the mean is approximately 0.385, the median is approximately 0.665, and there is no mode in the list of changes in stock value

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Answer:

33.333

Step-by-step explanation:

100/3=33.333 meaning that the logic came behind a sience for 626 people who filled out the servery meaning that How to explain the word problem It should be noted that to determine if Jenna's score of 80 on the retake is an improvement, we need to compare it to the average improvement of the class. From the information given, we know that the class average improved by 10 points, from 50 to 60. Jenna's original score was 65, which was 15 points above the original class average of 50. If Jenna's score had improved by the same amount as the class average, her retake score would be 75 (65 + 10). However, Jenna's actual retake score was 80, which is 5 points higher than what she would have scored if she had improved by the same amount as the rest of the class. Therefore, even though Jenna's score increased from 65 to 80, it is not as much of an improvement as the average improvement of the class. To show the same improvement as her classmates, Jenna would need to score 75 on the retake. Learn more about word problem on; brainly.com/question/21405634 #SPJ1 A class average increased by 10 points. If Jenna scored a 65 on the original test and 80 on the retake, would you consider this an improvement when looking at the class data? If not, what score would she need to show the same improvement as her classmates? Explain.

The p-value is less than our chosen level of significance (usually 0.05), we would reject the null hypothesis and conclude that there is a significant difference in handedness between men and women.

To test the null hypothesis that there's no difference in handedness between men and women, we should use the Chi-Square test for Independence. This test is used to determine if there is a significant association between two categorical variables, in this case, the gender and handedness of the students.

The table provided in the question shows the counts of students in each gender and handedness category. To perform the Chi-Square test for Independence, we would calculate the expected counts under the null hypothesis of no association, and then calculate the test statistic and p-value. If the p-value is less than our chosen level of significance (usually 0.05), we would reject the null hypothesis and conclude that there is a significant difference in handedness between men and women.

Note that the other tests mentioned (one-sample z-test, Chi-Square Goodness-of-fit test, and two-sample z-test) are not appropriate for this scenario as they are used for different types of hypotheses.

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Answer:

60

Step-by-step explanation:

Multiply all the 3 numbers if the helps please put brainliest, thanks :)

Answer:

3.(52+81).

Step-by-step explanation:

Hello,

Answer:

\(\red{\large{\boxed{156+243 =3(52+81)}}}\)

Answer: Area of Prism = 312 in²

Step-by-step explanation:

Formula for triangular prism:

Surface Area = Ph + 2B

P = perimeter of Base(triangle)

For perimeter we need to find what the length of that leg of base is.

Use pythagorean

c² = a² + b²

10² = 8² +b²

100  = 64 + b²

100 - 64 = b²

b² = 36

b = 6

P =  6 +`10 + 8

P = 24

h = height of the prism = 11

B = Area of the base, triangle

B = 1/2 b h           >this height is just for triangle not prism

B = 1/2 (8)(6)

B = 24

Area of Prism = Ph + 2B

Area of Prism = (24)(11) +2(24)

Area of Prism = 264 + 48

Area of Prism = 312 in²

Answer:

The slope of function A is less than the slope of function B

Step-by-step explanation:

Function A:

Slope is given in 1/3x the slope is 1/3

Function B:

Slope is -8 /-12 = 2/3

Compare:

1/2<2/3

function a is less than function b

If my answer is incorrect, pls correct me!

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-Chetan K

You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

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To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

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In the given problem, we are provided with the joint probability density function (pdf) of discrete random variables X and Y. We need to find the constant c, the marginal pdfs of X and Y, and determine whether X and Y are independent.

(a) To find the constant c, we need to ensure that the joint pdf satisfies the properties of a probability distribution. Since the sum of all possible probabilities must equal 1, we can sum the joint pdf over all possible values of X and Y and set it equal to 1. By evaluating the summation, we can determine the value of c.

(b) To find the marginal pdfs of X and Y, we need to calculate the probabilities of each individual variable without considering the other variable. The marginal pdf of X can be found by summing the joint pdf over all possible values of Y, and similarly, the marginal pdf of Y can be found by summing the joint pdf over all possible values of X.
(c) To determine whether X and Y are independent, we need to check if the joint pdf can be expressed as the product of the marginal pdfs. If the joint pdf can be factorized in this way, then X and Y are independent. Otherwise, they are dependent.

By performing the necessary calculations and analysis, we can find the constant c, the marginal pdfs of X and Y, and determine the independence of X and Y based on the properties of the joint pdf.

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Driving a personal car would be the most cost-effective mode of transportation for this commute, with a total daily cost of approximately $4.60 ($3.60 for gas + $1 for travel time).

Based on the given information, the most cost-effective mode of transportation for this commute would be to drive a personal car. Taking public transportation or carpooling may be more environmentally friendly options, but they may not save as much money as driving alone.

Assuming an average speed of 60 miles per hour on the highway, the commute would take approximately 20 minutes each way, or 40 minutes round-trip. This means the total cost of travel time for each workday would be $40 ($60/hour x 2/3 hour).

Using a cost calculator such as GasBuddy, we can estimate that the cost of driving 20 miles per day (round-trip) would be around $3.60 per day, assuming an average fuel efficiency of 25 miles per gallon and a gasoline price of $2.50 per gallon.

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