the distribution of the sample​ mean, ​, will be normally distributed if the sample is obtained from a population that is normally​ distributed, regardless of the sample size.

Watermelon can be divided into a maximum of 56 pieces using ten cuts.

A watermelon splits into two parts when you make a cut through it. Anywhere that a subsequent cut crosses an earlier cut, a new piece is formed. As a result, there are more pieces after each cut.

We need to take into account how the cuts cross to find the maximum number of pieces. Two pieces are produced by the first cut, two more are produced by the second cut intersecting those two pieces, and so on.

Figured out using a formula.

The formula given below is to calculate the greatest number of fragments from n cuts.

N=(n²+n+2)/2

In the formula, change n = 10 to represent ten cuts as follows

N=(10²+10+2)/2

N = (100+10+2)/2

N=112/2 N=56

A watermelon may only be divided into a maximum of 56 pieces with ten cuts.

Learn more about maximum pieces from the given link

https://brainly.com/question/14396634

x being any number, specifically any real number between -2 and 6

-2<x</=6

i think!?

Answer:

Domain: -9, -6, 0, 9  I put them in ascending order

Range: -7, -6, 0, 3  I put them in ascending order.

Step-by-step explanation:

The domain is the inputs or the x values.

The range is the outputs or the y values.

Answer:

$0.05

Step-by-step explanation:  first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers

Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

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

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces

Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

A curvilinear term in mathematics is "Consisting of, bounded by, or characterized by a curved line." However, the definition of a quadratic is a second-order polynomial equation in a single variable \(0= ax^{2}+bx+c\) with

\(a\neq 0\). A quadratic is a curvilinear term according to my definition, but a function like \($x^{4}$\) would also fit the definition of curvilinear. So, your answer is

False, a quadratic and a curvilinear term are not the same.

False, a curvilinear term is more broad, but quadratics have specific restrictions.

The probability that at most a fifth of the buyers would prefer green is approximately 0.0198

This problem can be solved by using the binomial distribution. Let X be the number of buyers out of 15 who prefer green. Then X follows a binomial distribution with parameters n = 15 and p = 0.6.

We want to find the probability that at most a fifth of the buyers would prefer green. This means we want to find P(X ≤ 3), since a fifth of 15 is 3.

Using the binomial probability formula, we have

P(X ≤ 3) = Σ P(X = k) for k = 0 to 3

= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= (15 choose 0) (0.6)⁰ (0.4)¹⁵ + (15 choose 1) (0.6)¹(0.4)¹⁴ + (15 choose 2) (0.6)² (0.4)¹³ + (15 choose 3) (0.6)³ (0.4)¹²

= 0.0000265 + 0.000397 + 0.00312 + 0.0163

Add the number

= 0.0198

Learn more about probability here

brainly.com/question/11234923

#SPJ4

Answer:

\( \sqrt{5} \)

Step-by-step explanation:

decimal repeats without a pattern

E(U) = 4, which is an integer.

What is Linearity of expectation?

Linearity of expectation is a fundamental property of expected value that states that the expected value of a sum or difference of random variables is equal to the sum or difference of their individual expected values.

To find E(U), where U = 2X - Y - 4, we can use the properties of expected value.

First, let's find the expected values of 2X, Y, and 4 separately using the linearity of expectation:

E(2X) = 2E(X) = 2 * 6 = 12

E(Y) = 4 (given)

E(4) = 4

Now, let's calculate the expected value of U:

E(U) = E(2X - Y - 4)

Since expected value is a linear operator, we can rearrange and simplify the expression:

E(U) = E(2X) - E(Y) - E(4)

= 12 - 4 - 4

= 4

Therefore, E(U) = 4, which is an integer.

To know more about Linearity of expectation visit:

https://brainly.com/question/31707342

#SPJ4

Step-by-step explanation:

p=1500

R=10%

t=20yrs

SI=PTR/100

=1500*10*20/100

=3000

amount(A)=P+I

=1500+3000

=4500

The partial derivative of the utility function \(U(x_1, x_2)\) with respect to \(x_1\) is \(a * x_1^{(a-1)} * x_2^{(1-a)}\), and the partial derivative with respect to \(x_2\) is \((1-a) * x_1^a * x_2^{(-a)}.\)

The utility function  \(U(x_1, x_2)\) represents a consumer's satisfaction or preference for two consumption goods, \(x_1\) and \(x_2\). The partial derivatives provide insights into how the utility function changes as we vary the quantities of the goods.

To calculate the partial derivative with respect to \(x_1\), we differentiate the utility function with respect to \(x_1\) while treating \(x_2\) as a constant. The result is \(a * x_1^{(a-1)} * x_2^{(1-a)}\). This derivative captures the impact of changes in \(x_1\) on the overall utility, taking into account the relative importance of \(x_1\)(determined by the parameter a) and the quantity of \(x_2\).

Similarly, to find the partial derivative with respect to \(x_2\), we differentiate the utility function with respect to \(x_2\) while treating \(x_1\)as a constant. The resulting derivative is \((1-a) * x_1^a * x_2^{(-a)}.\). This derivative shows how changes in \(x_2\) affect the overall utility, considering the relative weight of \(x_2\) (given by 1-a) and the quantity of \(x_1\).

In summary, the partial derivatives provide information about the sensitivity of the utility function to changes in the quantities of the consumption goods, allowing us to understand the consumer's preferences and decision-making.

Learn more about derivative here:

https://brainly.com/question/30403647

#SPJ11

Height of the triangle is = 14m

Given,

Base of the triangle is 8m

Area of the triangle is = 56m^2

To find the height of the triangle.

Now, According to the question:

We know that

Area of the triangle is = 1/2 x b x h

where, b = base

h = height

Plug all the values of base and area in above formula:

56m^2 = 1/2 x 8m x h

56 x 2 / 8 = h

h = 14m

Hence, Height of the triangle is = 14m

Learn more about Area of Triangle at:

https://brainly.com/question/19305981

#SPJ1

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ1

According to the question, srs is a simple random sample whose size consists of individuals from the population and chosen in such a way that every set of individuals has an equal chance to be sampled.

What is Stratified random samples?

For stratified random samples, initially classify the population into the groups of similar individuals which is called as “strata”. Later choose simple random samples and combine them to form a full sample.

As per question, srs of \(200\) of the \(25000\) undergraduate students and the srs of \(100\) of the \(500\) graduate students. This overall sample is a stratified sample.

To learn more about the simple random sample and stratified random sample from the given link:

https://brainly.com/question/14470673

#SPJ4

Answer:

0

Step-by-step explanation:

the slope is the same and the intercepts are different

Answer:

Step-by-step explanation:

6

Answer:

The other factor is (x + 2).

Step-by-step explanation:

If x - 10 is a  factor of x^2 - 8x - 20 then we must find another factor that includes +2x, so that we have -10x + 2x = -8x.  That factor is (x + 2):

x^2 - 8x - 20 = (x - 10)(x + 2)

As a test, multiply -10 and +2.  We get -20, matching the constant of the given polynomial.  Also, -10x + 2x = -8x, another match.

Answer:

(x-12) and (x+12)

Step-by-step explanation:

A stem and leaf plot would best display the following data if you wanted to display the numbers which are outliers as well as the mean. Option C is the correct option.

A stem and leaf plot would be the best choice for displaying the given data if the goal is to show outliers as well as the mean. A stem and leaf plot is a simple and effective way to represent the data distribution while preserving the individual data points.

It organizes the data by separating the leading digit (stem) and the trailing digit (leaf). This plot allows for easy identification of outliers as they would be displayed separately from the main distribution. Additionally, the stem and leaf plot can include a line indicating the mean, providing a visual representation of its position relative to the data points.

Learn more about mean at

https://brainly.com/question/30014356

#SPJ4

The question is -

Which would best display the following data if you wanted to display the numbers which are outliers as well as the mean?

[4, 1, 3, 10, 18, 12, 9, 4, 15, 16, 32]

A. Pie chart.

B. Bar graph.

C. Stem and leaf plot.

D. Venn diagram.

Answer:

The lengths ( in feet ) of two sides of a regular quadrilateral are represented by th expresion

8x-6 and 4x+22 . find the length of a side of the quadrilateral

Answer by Alan3354(67447) (Show Source): You can put this solution on YOUR website!

A regular quadrilateral is a square, so

8x-6 = 4x + 22

Can you finish it?

RELATED QUESTIONS

The lengths (in inches) of two sides of a regular pentagon are represented by the... (answered by mananth)

The lengths (in inches) of two sides of a regular pentagon are represented by the... (answered by jim_thompson5910)

The lengths (in inches) of two sides of a regular octagon are represented by the... (answered by richwmiller)

The lengths (in inches) of two sides of a regular pentagon are represented by the... (answered by chessace)

If the number of degrees in the measure of one angle of a triangle is represented by 4x... (answered by stanbon)

PLEASE AND THANK YOU:) The opposite sides of a paralleogram are represented by 2X+10... (answered by sudhanshu_kmr)

The sides of a triangular lot are represented by x, 3x, and 3x + 2. Find each side if the (answered by colliefan)

THE PERIMETER OF A TRIANGLE IS 60 in. THE LENGTHS OF THE SIDES ARE REPRESENTED BY... (answered by cleomenius)

The opposite angles of a quadrilateral are congruent, and its perimeter is equal to 188... (answered by tiffany222

The length of a side of the quadrilateral is 38 feet.

Given that, The lengths (in feet) of two sides of a regular quadrilateral are represented by the expressions 8x + 6 and 4x + 22.

We need to find the length of a side of the quadrilateral.

The regular quadrilateral is a 4-sided polygon which is equiangular and equilateral. Square is a quadrilateral with all the sides equal and all angles equal to 90°. Hence, the square is a regular quadrilateral.

Now, 8x+6=4x+22

⇒8x-4x=22-6

⇒4x=16

⇒x=4

Then, 8x+6=38 feet and 4x+22=38 feet

Therefore, the length of a side of the quadrilateral is 38 feet.

To learn more about the regular quadrilateral visit:

https://brainly.com/question/929013.

#SPJ2

Answer:

v= 262 (3 significant figures)

Step-by-step explanation:

volume of hemisphere= 2/3 * π * r³

v= 2/3 * 22/7* 125

v= 261.799388cm3

v= 262 (3 sf)

Answer:

The correct solution is B

Step-by-step explanation:

2x - 6 = 22

2x = 28

x = 14

hi

Correct answer is B

2X-6 =22

2X-6 +6 = 22 +6

2X =28

2X/2 = 28/2

X=14

Answer:

300.00$

50$ per month

6 months

50x6

In order to determine the ratio of the hypotenuse to the short leg, use the sine of angle 30°:

sin 30° = opposite side / hypotenuse

Take intop account that sin30° is jsut the same the required ratio.

Moreover, consider that sin 30° = 1/2, which is the same that:

opposite side / hypotenuse = 1/2

or

hypotenuse / opposite

The temperature in the late afternoon is -3°F.

According to the question,

We have the following information:

When Liz woke up in the morning, it was 6°F. By the late afternoon, the temperature had dropped 9°F.

Now, we can easily find the temperature in late afternoon.

To find this, we will have to subtract 9 from 6 because the temperature has dropped from 6.

(Please note that the temperature given here is in ° F. However, it is to be noted that the two most commonly used units of temperature are °F and °C.)

So, we have the following expression:

6-9

-3°F

Hence, the temperature in the late afternoon is -3°F.

To know more about temperature here

https://brainly.com/question/11464844

#SPJ1

Answer:

116

Step-by-step explanation:

The slope of all the given options  are equal and it is equal to slope of given equation .

What is slope?

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line may be used to compute the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula. We shall comprehend the slope-finding method and its applications in this essay.

Given

Equation of a given line is x+2 y=6

Lets find out slope m by writing the equation in \($y= \mathbf{m}+\mathbf{b}$\) form

\($$\begin{aligned}& x+2 y=6 \\& 2 y=-x+6 \\& y=\frac{-1}{2} x+6\end{aligned}$$\)

The slope of the line is \($\frac{-1}{2}$\)

Now we find slope of each option using formula \($m=\frac{y_2-y_1}{x_2-x_1}$\)

Lets pick two points from the graph to find out slope

Pick (0,3) and (6,0)

\($$\begin{aligned}& m=\frac{y_2-y_1}{x_2-x_1} \\& m=\frac{0-3}{6-0}=\frac{-1}{2}\end{aligned}$$\)

Now pick two points from option \($\mathbf{B}$\) to find slope

(-10,-3) and (0,-8)

\(m=\frac{-8+3}{0+10}=\frac{-1}{2}$$\)

To learn more about slope visit:https://brainly.com/question/3605446

#SPJ1

A person's cycling rate can be expressed mathematically in the equation that describes their cycling motion. Specifically, the cycling rate can be represented by the frequency or number of revolutions per unit time (usually in seconds) that the person completes while cycling.

The equation that describes a person's cycling motion is typically a kinematic equation that relates the person's position, velocity, and acceleration as a function of time. One commonly used equation is:

d = vit + 1/2at^2

where d is the distance traveled by the person, vi is the initial velocity (usually zero), a is the acceleration, and t is the time elapsed.

The cycling rate can be incorporated into this equation by expressing the velocity as a function of the frequency of revolutions (f) and the radius of the wheel (r). This gives:

v = 2πrf

where v is the velocity of the cyclist, r is the radius of the wheel, and π is the mathematical constant pi (approximately 3.14).

Substituting this expression for v into the kinematic equation gives:

d = (2πrf)t + 1/2at^2

This equation shows how the person's cycling rate, represented by the frequency f, affects their distance traveled as a function of time. If the person increases their cycling rate, their velocity increases, and they will travel a greater distance in the same amount of time.

9514 1404 393

Answer:

  $25

Step-by-step explanation:

If c is the 2011 cost, then we are told ...

  30 = c + 20%×c

  30 = 1.2c . . . . . . simplify

  30/1.2 = c = 25 . . . . . divide by the coefficient of c

The 2011 cost was $25.

Answer:

We have to find the value of x.

We need to substitute with 3 because they measure the same.

Step-by-step explanation:

(x - 1)

x - 1 = 3

x - 1 + 1 = 3 + 1

x = 4

(x + 1)

x + 1 = 5

x + 1 - 1 = 5 - 1

x = 4

Both answers are the same which means that they are correct.