Suppose you have a population that is skewed right. If you take samples havingn = 19measurements each, will your sample means follow a normal distribution? Explain.
No. Sample means never follow normal distributions.
No.n = 19is not enough measurements for the sample means to follow a normal distribution.
Yes. Sample means always follow normal distributions.
Yes.n = 19is enough measurements for the sample means to follow a normal distribution.

The required volume of the solid is:V = ∫∫∫ dV = ∫(∫(∫dz)dy)dx= ∫1^(-1) (∫3/2x^(-1) 0 (∫2^0 dz)dy)dx

= ∫1^(-1) (∫3/2x^(-1) 0 2dy)dx= ∫1^(-1) (2 * 3/2x^(-1))dx= ∫1^(-1) (3/x)dx

= 3 ln |-1| - 3 ln |1|= -3 ln 1= 0.

Given information: triple integral (c) Find the volume of the solid whose base is the region in the sz-plane that is bounded by the parabola \(z=3-x^2\) and the line \(z=2x\).

while the top of he solid is bounded by the plane \(z=6-x-2y\)Step-by-step explanation:

Here we are asked to find the volume of the solid which is bounded by the region in the sz-plane and by the plane.

So, let's solve the problem. Now, we can find the upper limit of the integral as: z = 6 - x - 2y

We know that the lower limit is the equation of the plane z = 0.

The region in the sz-plane is bounded by the parabola z = 3 - x² and the line z = 2x.

Since z = 3 - x² = 2x implies x² + 2x - 3 = 0, which gives us (x + 3)(x - 1)

= 0, so x = -3 or x = 1.

But we can't have x = -3 because z = 2x must be non-negative.

Thus, x = 1, and we have z = 2 and z = 2x. The intersection of these two surfaces is a line, which has the equation x = y.

So we can set y = x in the equation of the plane to get the upper bound of y.

That is, 6 - x - 2y = 6 - 3x which gives 3x + 2y = 6 or y = 3 - (3/2)x.

Therefore, the integral becomes: c V = ∫∫∫ dV = ∫(∫(∫dz)dy)dx , 0 ≤ z ≤ 2, 0 ≤ y ≤ 3 - (3/2)x, -1 ≤ x ≤ 1

Thus, the required volume of the solid is: V = ∫∫∫ dV = ∫(∫(∫dz)dy)dx

= ∫1^(-1) (∫3/2x^(-1) 0 (∫2^0 dz)dy)dx

= ∫1^(-1) (∫3/2x^(-1) 0 2dy)dx

= ∫1^(-1) (2 * 3/2x^(-1))dx= ∫1^(-1) (3/x)dx

= 3 ln |-1| - 3 ln |1|= -3 ln 1= 0.

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Answer:

X,y=83/52 ,45/26

Step-by-step explanation:

just  look up your answer and you will find the step by step. Hopefully this helped :)

In a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

In a haplodiploid system, males develop from unfertilized eggs and are haploid, while females develop from fertilized eggs and are diploid. This means that sons inherit all of their genetic material from their mother, including her alleles from both her haploid sets of chromosomes. Maternal aunts, on the other hand, share one set of haploid chromosomes with their nephew (the son), as they are the sister of his mother. Therefore, the relatedness between a son and his maternal aunt in a haplodiploid system is 0.75 or 75%.

In a haplodiploid system, the relatedness of a son to a maternal aunt can be calculated using the following steps:

1. Determine the relatedness of the son to his mother: In haplodiploid systems, sons are haploid and inherit their single set of chromosomes from their mother. This means that they are 100% related to their mother, as they share all her genes.

2. Determine the relatedness of the maternal aunt to the son's mother: The maternal aunt is a sister of the son's mother. In haplodiploid systems, sisters share 75% of their genes, as they get half of their genes from their mother and the other half from their father (who, as a haploid male, gives all his genes to his daughters).

3. Calculate the relatedness of the son to his maternal aunt: To determine the relatedness of the son to his maternal aunt, multiply the son's relatedness to his mother (100%) by the maternal aunt's relatedness to the son's mother (75%).

Relatedness of son to maternal aunt = (1.0) * (0.75) = 0.75 or 75%

So, in a haplodiploid system, the relatedness of a son to a maternal aunt is 75%.

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Answer:

The outcome table was not given. But find below how to find the experimental probability

Step-by-step explanation:

Experimental Probability = number of times you rolled a three  /   the number of times you rolled the die itself.

Answer: 5/8 pounds

Step-by-step explanation:

\(\displaystyle\\\frac{15}{16} (\frac{2}{3} )=\\\\\frac{15(2)}{16(3)}=\\\\\frac{(3)(5)(2)}{(2)(8)(3)}=\\\\\frac{5}{8} \ pounds\)

It will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

The current Hours of Service (HOS) rules for truck drivers stipulate that a truck driver cannot drive for more than 11 hours after 10 consecutive hours off duty.

Additionally, the driver is not allowed to drive beyond 14 hours after coming on duty.

The driver's shift includes both driving and non-driving time.

Therefore, it is necessary to consider the total amount of time spent on the job.

The truck driver will have to stop for rest breaks, refueling, or other reasons during the 450-mile journey to Pittsburgh, Pennsylvania. The driver is required to take a 30-minute break after eight hours of driving.

Therefore, the minimum number of clock hours (not driving hours) it will take the truck driver to travel the 450-mile distance from Charlotte, NC to Pittsburgh, PA is calculated as follows:

Time for the trip = (Distance ÷ Average Speed) + Breaks

Time for the trip = (450 ÷ 50) + (30 ÷ 60) × 2

Time for the trip = 9 + 1

Time for the trip = 10 clock hours

Therefore, it will take a minimum of 10 clock hours (not driving hours) for the truck driver to travel 450 miles from Charlotte, NC to Pittsburgh, PA.

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Based on the coordinates of the vertices of the quadrilateral ABCD, the perimeter is 18.64 units and the area is 18.96 units².

First, find the distance between the points of the quadrilateral:

Distance formula is:

d = √( (x₂ - x₁)² + (y₂ - y₁)²)

Distance for AB:

= √( (6 - 3)² + (5 - 5)²)

= 3

Distance for BC:

= √( (4 - 6)² + (-1 - 5)²)

= 6.32

Distance of CD:

= √( (1 - 4)² + (-1 - (-1)²)

= 3

Distance of AD:

= √( (1 -3)² + (-1 -5)²)

= 6.32

Perimeter is:

= 6.32 + 6.32 + 3 + 3

= 18.64 units

The area of the quadrilateral would be:

= 3 x 6.32

= 18.96 units²

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Answer:

\(y=-3x-8\)

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the slope (m) into the equation

We're given that the slope is -3. Plug -3 into the equation

\(y=-3x+b\)

2) Solve for the y-intercept (b)

To solve for b, plug the given point (-1,-5) into the equation as (x,y).

\(-5=-3(-1)+b\\-5=3+b\)

Subtract 3 from both sides

\(-5-3=3+b-3\\-8=b\)

Therefore, the y-intercept is -8. Plug -8 back into our original equation as b

\(y=-3x-8\)

I hope this helps!

Answer: answer is. B

Step-by-step explanation:

Using the z table, the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82% is 1.34.

In the given question,

We have to find the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82%.

The confidence interval is 82%.

We can write 82% as 82/100 and 0.82.

Now the value of

\(\alpha\)=1−0.82

\(\alpha\)=0.18

Now finding the value of \(\alpha\)/2

\(\alpha\)/2=0.18/2

\(\alpha\)/2=0.09

Now finding the value of \(z_{a/2}\).

\(z_{0.82}\) = 1.34

Hence, the critical value \(z_{a/2}\) needed to construct a confidence interval with level 82% is 1.34.

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Steven can afford a car with a price of approximately RM 32,148.48 if he finances it for 60 months, and approximately RM 42,843.95 if he finances it for 84 months.

To calculate the price of the most expensive car Steven can afford, we'll use the formula for the present value of an ordinary annuity:

\(PV = P * (1 - (1 + r)^{(-n)}) / r,\)

where PV is the present value (price of the car), P is the monthly payment, r is the monthly interest rate, and n is the number of months.

For 60 months:

P = RM 600, r = 4.2% / 12 = 0.35% (monthly interest rate), n = 60.

Using the formula, we have:

\(PV = 600 * (1 - (1 + 0.0035)^{(-60)}) / 0.0035 \approx RM 32,148.48.\)

For 84 months:

P = RM 600, r = 4.2% / 12 = 0.35% (monthly interest rate), n = 84.

Using the formula, we have:

\(PV = 600 * (1 - (1 + 0.0035)^{(-84)}) / 0.0035 \approx RM 42,843.95.\)

Therefore, Steven can afford a car with a price of approximately RM 32,148.48 if he finances it for 60 months, and approximately RM 42,843.95 if he finances it for 84 months.

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Answer: Its B i just took the test

Step-by-step explanation:

Answer:

x = 4, y = 2

Step-by-step explanation:

-3x + 8y = 4

3x - 2y = 8

3x = 8 + 2y

x = (8 + 2y) / 3

-3 * ((8 + 2y) / 3) + 8y = 4

-8 - 2y + 8y = 4

6y = 12

y = 2

3x - 2 * 2 = 8

3x - 4 = 8

3x = 12

x = 4

Answer:

the sale price would be $48

Step-by-step explanation:

To get the sale price you would have to find the decimal form of 40 which is 0.40. Then you multiply 0.40 by 120. And that is 48.00. So than the $48.00 becomes the sale price.

Hope that helps :)

Using the triangle proportionality theorem, the perimeter can be determined as: 114.61 units.

The triangle proportionality theorem states that if a line segment that is parallel to one side of a triangle, joins the other two sides of the triangle, it divides the two sides proportionally.

Thus, find VW using the triangle proportionality theorem:

VW/WX = VZ/ZY

VW/36 = (44 - 27.5)/27.5

VW/36 = 16.5/27.5

VW = 21.6

Find XY using Pythagorean Theorem:

XY = √(VX² - VY²)

XY = √(57.6² - 44²)

XY = 37.17

Find WZ:

WZ/XY = VZ/VY

WZ/37.17 =  16.5/44

WZ = 13.94

Perimeter of Trapezoid WXYZ = WX + XY + YZ + WZ

Perimeter = 36 + 37.17 + 27.5 + 13.94

Perimeter = 114.61 units.

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Answer:

The area increased by a factor of 25, from 6 in^2 to 150 in^2, when the scale factor for the sides was 5.  

Step-by-step explanation:

The area increased from 6 in^2 to 150 in^2 when the Original triangle was scaled by a factor of 5 (in inches):

 Original  Scaled     Factor

     3               15           5

     5               25          5

     4               20          5

             Area (in^2)                    

      6             150         25

The larger increase in the sale factor for area is due to the area equation for a triangle:  Area = (1/2)b*h.  Since both the base and height both increase by a factor of 5, the are increses by a factor of 25:

     Original:         A = (1/2)b*h

     Scaled by 5:   A = (1/2)((5b)*(5h)) or (1/2)(25)(b*h)  [(1/2)b*h is the original area)

                         Area(scaled) = 25*A(original)

Answer:

A) 25 feet

Step-by-step explanation:

A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:

15/3 = 5

1 inch represents 5 feet.

Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:

5 x 5 = 25 feet.

5 inches represent 25 feet.

A) 25 feet is our answer.

~

Answer: Gabriella's distance from the stadium is modeled by the function G(t) = 550 - 25t.

Ian's distance from the stadium is modeled by the function I(t) = 950 - 50t.

To find the number of hours after noon when Gabriella and Ian are the same distance from the stadium, we need to set the two equations equal to each other and solve for t:

G(t) = 550 - 25t = I(t) = 950 - 50t

Combining like terms we get:

25t = 400

t = 16

So, 16 hours after noon, Gabriella and Ian will be the same distance away from the stadium.

To graph the functions, we can substitute different values of t into the equations to find the corresponding values of G(t) and I(t). Then we can plot the points on a coordinate plane and connect them to form the graph of the two functions.

It is important to note that we are assuming that both Gabriella and Ian don't make any stops, so the speed is constant through the whole trip and no time is wasted.

Step-by-step explanation:

To calculate how much they ate between the two of them, the amounts each ate must be added:

\(\begin{gathered} \sf \frac{3}{8} + \frac{4}{16} = \\ \\ \sf\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16} = \\ \\ \sf\frac{6 + 4}{16} = \\ \\ \sf \frac{10}{16} = \red {\boxed{ \sf \frac{ \green5}{ \green8} }}\end{gathered}\)

Therefore, between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Merry Christmas and Happy New Year

To calculate how much they ate between the two of them, the amounts each ate must be added:

\(\begin{gathered}\begin{gathered} \bold{ \frac{3}{8} + \frac{4}{16}} \\ \\ \bold{\frac{16 \div 8 \times 3 + 16 \div 16 \times 4}{16}} \\ \\ \bold{\frac{6 + 4}{16}} \\ \\ \bold{ \frac{10}{16} }= {\boxed{ \sf \frac{ \bold5}{ \bold8} }}\end{gathered}\end{gathered} \)

\(\therefore\) Between the two of them they ate five eighths of pizza.

To add heterogeneous fractions, fractions with different denominators, follow these steps:

Find the common denominator, which is the least common multiple of the denominators.

Divide the common denominator by the other denominator and multiply by the numerator.

Write the results obtained above as numerators with the Sign of the sum between them.

The number 8 is the initial amount of gallon of gas in the car before the trip started.

Linear equation are equation in which the highest power of the variable is equals to 1.

Therefore, the equation for Michael driving on a long road trip is as follows:

where

g = number of gallons

h = time in hours

The representation of 8 is as follows;

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Answer:

$7.20

Step-by-step explanation:

7.208

Step-by-step explanation: 20 % x 36.04  is equal to 7.208 because it's multiplying.

By arranging similar terms, we have

since 13a minus a is 12a, the answer is

which corresponds to option 2 from top to bottom

Answer:

Neither

Step-by-step explanation:

-12x + 3y = 3

y = 4x + 1

y = mx + b

The second equation given is set up in the correct form already (y = 4x + 1)

We have to convert the first equation into the same format

-12x + 3y = 3

Isolate the y

3y = 3 + 12x

Divide the 3 from the y and the other side

y = 1 + 4x

y = 4x + 1

This is the same as the first equation

They can only be parallel if their slope (m or 4 in this case) is the same and their y-intercepts (b or 1 in this case) are different. Since the equations are the exact same and do not fit the y-intercept criteria for parallel, they cannot be parallel. If they were perpendicular, their lines must cross. This means they have to contain reciprocals or opposite slopes. Our slope here for both of them is 4 or 4/1. Since neither are the opposite (which would be 1/4), it is not perpendicular. Therefore, the answer is neither

Answer:

this can be the answer

because in given question there is no relation between equations

The 45% represents a descriptive statistic. Descriptive statistics are used to describe or summarize characteristics of a sample or population. In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that provides information about the sample of 800 students.

Descriptive statistics involve organizing, summarizing, and presenting data in a meaningful way. They are used to describe various aspects of a dataset, such as central tendency (mean, median, mode) and dispersion (variance, standard deviation). In this case, the percentage of students living in the dormitories (45%) is a descriptive statistic that describes the proportion of students in the sample who live in the dormitories.

Statistical inference, on the other hand, involves making conclusions or predictions about a population based on data from a sample. It uses techniques such as hypothesis testing and confidence intervals to make inferences about the population parameters.

In summary, the 45% represents a descriptive statistic as it provides information about the proportion of students living in the dormitories based on the sample of 800 students. It is not an example of statistical inference, a population, or a sample.

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The probability that the sum of both rolls is at least 9 is 2/36.

Probability is the chance that a given event will occur.  the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Given:

Total sample spaces: 36.

Number on one dice: 6

For sum of both rolls to be 9 , the only possible way is (6,3)(3,6)

Using probability formula,

Thus The probability that the sum of both rolls is at least 9 is 2/36.

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Answer:

the rational number 43/9 is the answer

Step-by-step explanation: