based on the boxplot, about 25% of these ayrshire cattle had a butterfat percentage that was higher than what value ?

Welch's t-test is a modified version of the t-test for independent means. Welch's t-test is an important statistical test that compares the mean of two groups that have different variances and is utilized when the assumptions of the t-test for independent means are violated.

However, unlike the standard t-test for independent means, Welch's t-test does not rely on the assumption that the variances of the two groups are equal. Instead, Welch's t-test relies on a more flexible assumption, that is, the assumption of unequal variances.

Welch's t-test's basic assumptions include the following:Independent samples: The sample sizes should be equal or almost equal in size. Normality: The two groups must have normally distributed populations. Even though Welch's t-test is more flexible than the standard t-test for independent means, the test is most accurate when the distributional assumptions are met.

It should be remembered that it is more conservative when the distributional assumptions are violated.

To know more about Welch's test refer here:

https://brainly.com/question/12087277

#SPJ11

Answer: i believe its 15.12

Step-by-step explanation:

The dimensions that will produce the maximum enclosed area for two adjacent rectangular safe play areas of equal size with 200 feet of fencing is 100 feet by 100 feet.

To solve this problem, use the area of a rectangle formula A = lw, where l is the length and w is the width.

Since the two play areas must be of equal size, let's call the length and width l and w, respectively.

We know that the total length of fencing is 200 feet, so l + w = 200 feet.

We can then solve for l by rearranging the equation as l = 200 - w.

We then substitute this into the area equation to get A = (200 - w)w.

To maximize the area, differentiate this equation to get A' = w - 200.

Set this to 0 and solve for w to get w = 100. Since l + w = 200, l = 100 as well.

Therefore, the maximum enclosed area is produced by dimensions of l = 100 feet and w = 100 feet.

For more such questions on Maximum enclosed area.

https://brainly.com/question/29116163#

#SPJ11

1. 53

2. can you  explain more it would really help more

In this instance, the buoy forms the right corner of a triangle made up of the two ships and the buoy. To the closest tenth, the distance between the two ships is roughly  [tex]24.1[/tex] km.

To find the distance between the two ships, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the legs

(the sides that form the right angle) is equal to the square of the length of the hypotenuse (the side opposite the right angle).

In this case, the two ships and the buoy form a right triangle, with the buoy at the right angle.

Let d be the distance between the two ships, x be the distance of the northern ship to the buoy and y be the distance of the eastern ship to the buoy. Then we have:

[tex]d^2 = x^2 + y^2[/tex]

Substituting the given values, we get:

[tex]d^2 = (20 km)^2 + (13.5 km)^2[/tex]

[tex]d^2 = 400 km^2 + 182.25 km^2[/tex]

[tex]d^2 = 582.25 km^2[/tex]

[tex]d ≈ 24.1 km[/tex]

Therefore, the distance between the two ships is approximately 24.1 km, rounded to the nearest tenth.

Learn more about distance here:

https://brainly.com/question/15172156

#SPJ9

Micah received 1/2 of Savi's share and Juan got the balance.

"A method to find a single unit value from a multiple unit value and to find a multiple unit value from a single unit value."

We always count the unit or amount value first and then calculate the more or less amount value.

For this reason, this procedure is called a unified procedure.

Many set values ​​are found by multiplying the set value by the number of sets.

A set value is obtained by dividing many set values ​​by the number of sets.

According to our question-

total amount = $280=x

savi= 4*juan= 11

micah= 1/2 savi= 1/2*280/100= 1.4

juan got balance= 267.6

Hence, Micah received 1/2 of Savi's share and Juan got the balance.

learn more about unitary method click here:

brainly.com/question/24587372

#SPJ1

the range of the function is at least $400 plus $50 for each month after the purchase. The average monthly cost of owning the cell phone can be represented as:

C(t) = 400 + 50t

Where t is the number of months after the purchase.

Since C(t) is a linear function, its range is all real numbers greater than or equal to 400, since the initial cost of the phone is 400 and the monthly cost is a positive constant. Therefore, the range of C(t) is:

Range of C(t) = {C(t) | C(t) ≥ 400} or [400, ∞)

In other words, the range of the function is all possible average monthly costs of owning the phone, which is at least $400 plus $50 for each month after the purchase.

To know more about Average, visit: brainly.com/question/24057012

#SPJ4

We can conclude that it is unlikely to obtain a random sample of size 9 from this population with a mean of 24 and a standard deviation of 4.1 because the sample mean of 24 is different from the population mean of 20.

To answer this question, we can use a t-test to determine if the sample mean of 24 is significantly different from the population mean of 20.

The t-test formula is:

t = (x' - μ) / (s / √(n))

Where x' is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values given in the question, we get:

t = (24 - 20) / (4.1 / √(9)) = 2.93

To determine if this t-value is significant, we need to compare it to the critical t-value for a two-tailed test with 8 degrees of freedom (n-1). Using a t-table or calculator, we find the critical t-value to be approximately 2.31 at a 5% significance level.

Since our calculated t-value of 2.93 is greater than the critical t-value of 2.31, we can reject the null hypothesis that the sample mean is equal to the population mean.

To learn more about population click on,

https://brainly.com/question/29507960

#SPJ4

If the square of Ethan's age is added to Jordan's age, the result is [tex]56[/tex], which equals Ethan's age. The answer is that Ethan is [tex]6[/tex] years old.

A person's birth date is compared to the day on which their age has to be computed as part of the age calculation process. The age of the individual is calculated by subtracting the person's age from the given date. Provided Date - Birthdate is used to compute age.

A person's age is merely a measurement of how long they have been living. These metrics don't adequately describe who you are or what you have accomplished. At any age, either old or young, one may do anything.

The solution states that [tex]56[/tex] is equal to [tex]4[/tex] times Jordan's age multiplied by the square of Ethan's age. This may be expressed as an equation:

[tex]x^2 + 4(x-1) = 56[/tex]

Simplifying the equation:

[tex]x^2 + 4x - 4 = 56[/tex]

[tex]x^2 + 4x - 60 = 0[/tex]

We can solve this quadratic equation by factoring:

(x+10)(x-6) = 0

Therefore, [tex]x = -10[/tex] or [tex]x = 6[/tex]. We can discard the negative value since age cannot be negative, so Ethan's age is [tex]6[/tex].

To check, we can substitute x=6 into the original equation:

[tex]6^2 + 4(6-1) = 36 + 20 = 56[/tex]

So the solution is Ethan is [tex]6[/tex] years old.

To know more about age visit:

https://brainly.com/question/29043930

#SPJ1

The expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

The GCF defines the highest common factor present in between given two or more numbers or algebraic expressions.

we shall determine the GCF greatest common factor for the algebraic expression 3x³y² and 8y²z as follows:

3x³y² = y² × 3x³

8y²z = y² × 8z

both terms 3x³y² and 8y²z have y² common to them, so we can write;

3x³y² + 8y²z = y² × 3x³ + y² × 8z

3x³y² + 8y²z = y²(3x³ + 8z)

In conclusion, the expression 3x³y² - 9xz⁴ + 8y²z have no GCF greatest common factor but the terms 3x³y² and 8y²z have GCF equal to y².

Know more about GCF here:https://brainly.com/question/21504246

#SPJ1

Answer:

x = 80

y = 160

Step-by-step explanation:

The sum of all arc measures that make up a circle is 360°. Therefore:

[tex]\implies 200^{\circ} + y^{\circ} = 360^{\circ}[/tex]

[tex]\implies 200^{\circ} + y^{\circ} - 200^{\circ} = 360^{\circ} - 200^{\circ}[/tex]

[tex]\implies y^{\circ} = 160^{\circ}[/tex]

[tex]\implies y=160[/tex]

If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.

Therefore, according to the Tangent and Intersected Chord Theorem, the measure of angle x is equal to half of the measure of arc y:

[tex]\implies x^{\circ}=\dfrac{1}{2} y^{\circ}[/tex]

[tex]\implies x^{\circ}=\dfrac{1}{2} \cdot 160^{\circ}[/tex]

[tex]\implies x^{\circ}=80^{\circ}[/tex]

[tex]\implies x=80[/tex]

[tex]\hrulefill[/tex]

The total amount of money shared between Rui Feng and Vishal is 154 dollars.

Let's assume that the amount of money shared between Rui Feng and Vishal is x dollars.

According to the given ratio, the amount of money received by Rui Feng is 5/14 of the total amount, and the amount received by Vishal is 9/14 of the total amount.

We are also given that Rui Feng receives 44 dollars less than Vishal. We can express this as:

9/14 x - 5/14 x = 44

Simplifying the equation, we get:

4/14 x = 44

Multiplying both sides by 14/4, we get:

x = 154

Learn more about ratio here https://brainly.com/question/13419413

#SPJ4

The approximate price per square inch of the cookie cake is $0.50

The area of a circle is given through the formulation:

A = πr^2

In which r is the radius of the circle.

for the reason that diameter of the cookie cake is 6 inches, the radius is half of of that, or three inches.

Substituting this into the formulation, we've:

A = π(3^2) = 28.26 square inches (approximate)

The value per square inch is the overall value of the cookie cake divided with the aid of its area:

value per square inch = $14.13 / 28.26 sq.in = $0.50 (approximate)

Therefore, the approximate price per square inch of the cookie cake is $0.50

Learn more about The area of a circle formula:-

https://brainly.com/question/12374325

#SPJ4

The need for capital by the Sport Bat Corporation will spread through the financial system as it interacts with banks, investors, and the broader financial markets.

When the Sport Bat Corporation needs to borrow $2 million to upgrade their equipment, they will likely seek a loan from a financial institution, such as a bank. The bank will evaluate the creditworthiness of the company and may require collateral or a personal guarantee before approving the loan.

Once the loan is approved, the bank will add the Sport Bat Corporation's loan to their portfolio of assets. The bank may choose to sell the loan to other investors, such as insurance companies or pension funds, to diversify their portfolio and manage risk.

These investors will then receive the interest payments on the loan as a source of income. The loan may be bundled together with other loans and sold as a package, called a securitization, to other investors in the financial markets, thus representing the spread of the loan throughout the financial system.

More can be learned about loans at https://brainly.com/question/11686424

#SPJ1

A large bag contains marbles of different colors. there are 10 red marbles, 5 blue marbles and 7 yellow marbles. when selecting 3 marbles without replacement, the probability of selecting 3 red marbles is 1/54.

The probability of selecting 3 red marbles is 1/54.What is a probability?

Probability refers to the likelihood or chance of an occurrence. The probability of an event occurring is the ratio of the number of favourable outcomes to the total number of possible outcomes.

A fraction or a decimal is used to express it.The total number of marbles in the bag is 10 + 5 + 7 = 22 marbles.

There are ten red marbles in the large bag, so the number of ways to select 3 red marbles from ten red marbles is:

[tex]10C_3 = (10 \times 9 \times 8) / (3 \times 2 \times 1) = 120[/tex]

There are 22 marbles in the bag, therefore, the total number of ways to pick 3 marbles from 22 is:

[tex]22C_3 = (22 \times 21 \times 20) / (3 \times 2 \times 1) = 1540[/tex]

Hence, the probability of choosing 3 red marbles out of the 22 marbles in the bag without replacement is:120/1540 = 1/54

for such more question on probability

https://brainly.com/question/24756209

#SPJ11

As per the given statement, the quadratic equation is to be used to find the exact solutions to this equation, and the quadratic equation is given by [tex]ax² + bx + c = 0[/tex].

To solve the quadratic equation, we can use the quadratic formula given by[tex]x = (-b ± sqrt(b² - 4ac)) / 2a[/tex] Where x is the variable, a, b, and c are coefficients with a ≠ 0, and sqrt is the square root symbol.To find the exact solutions to this equation, we can use the quadratic formula with a = 2, b = 6, and c = 12.

Substituting these values in the quadratic formula, we get

[tex]x = (-6 ± sqrt(6² - 4 × 2 × 12)) / 2 × 2= (-6 ± sqrt(36 - 96)) / 4= (-6 ± sqrt(-60)) / 4= (-6 ± i√60) / 4= (-3 ± i√15) / 2[/tex]

Hence, the exact solutions to the given equation are [tex](-3 + i√15) / 2 and (-3 - i√15) / 2.[/tex]

for such more questions on quadratic equation

https://brainly.com/question/1214333

#SPJ11

Answer:

(x+6)(x+6)

[tex]x^2+12x+36[/tex]

(x+8)(x-5)

[tex]x^{2}+3x-40\\[/tex]

(x-5)(x-2)

[tex]x^{2}-7x+10[/tex]

Step-by-step explanation:

Brainliest pls hope it helped^^

Answer:

a) x^(2)+12x+36

b) x^(2)+3x-40

c) x^(2)-7x+10

Step-by-step explanation:

Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.

4. A scale factor is the ratio of the scales of an original object and a new object.

Scale factor = Ordinated dimension / original dimension

Scale factor = [tex]\frac{10}{15}[/tex]

Scale factor = [tex]\frac{2}{3}[/tex]  (or) 0.67

5. Length of EH

Scale factor = [tex]\frac{EH}{AD}[/tex]

[tex]\frac{EH}{AD}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{EH}{24} = \frac{2}{3}[/tex]

EH = 2 * 8

EH = 16 units

6. Length of AB

Scale factor = [tex]\frac{EF}{AB}[/tex]

[tex]\frac{EF}{AB}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{6}{AB} = \frac{2}{3}[/tex]

AB = 3 * 3

AB = 9 units.

Therefore, Scale Factor is equal to [tex]\frac{2}{3}[/tex]. Length of EH is equal to 16 units and length of AB is equal to 9.

Learn more about Scale Factor:

https://brainly.com/question/30215119

#SPJ1

The aquarium tank that holds 190 liters of water equals to 50.15 gallons. Therefore, the answer to the given problem is 50.15 gallons.

Conversion factors are the ratios that describe the numerical relationship between two units of measurement.

The conversion factor of liters to gallons is 1 gallon is 3.8 liters.

Therefore, by multiplying the given value of liters by the conversion factor of liters to gallons, we can convert liters to gallons.

190 liters x 1 gallon/3.8 liters = 50.15 gallons

Thus, the aquarium tank that holds 190 liters of water equals to 50.15 gallons.

for such more question on aquarium tank

https://brainly.com/question/9697576

#SPJ11

The probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615. This is because out of the 13 balls, 6 of them have even numbers.

To calculate the probability, we use the formula:

Probability = Number of Favorable Outcomes / Total Number of Outcomes

In this case, the favorable outcomes would be the number of even numbers, which is 6. The total number of outcomes would be 13 (the total number of balls in the bag). Therefore, the probability of selecting a ball that has an even number is 6/13.

Another way to look at this is to think of the probability as the ratio of favorable outcomes to total possible outcomes. In this case, the ratio is 6:13, which can be simplified to 3:6 or 1:2. Since one out of every two outcomes is favorable, the probability is 0.5, which is the same as 6/13.

To further understand the concept of probability, consider the example of a fair coin. If a fair coin is flipped, the probability of getting either heads or tails is 50%. This is because the ratio of favorable outcomes (one head and one tail) to total possible outcomes (two heads and two tails) is 1:2.

In conclusion, the probability of selecting a ball that has an even number from a bag containing 13 balls numbered 1 through 13 is 6/13 or approximately 0.4615.

To know more about  probability refer here:

https://brainly.com/question/11234923

#SPJ11

Answer: 30 album pages

Step-by-step explanation:

cards = 10

teams = 24

total cards = 240

240 / 8 = 30

By function, The fact that this number is 1/2 indicates the half-life of the substance is 1 year.

How would you define a function in plain English?

A function is described as a relationship between a set of inputs and one output for every one of them. Simply described, a function is an association of inputs where each input is coupled to a single, distinct output.

                             Every function has an associated domain, codomain, or range. A mathematical function is a rule that, given the values of one or more independent variables and the dependent variable, determines the value of the dependent variable.

300 represents the initial amount of the substance, the amount present at t=0.

0.5 is the fraction of substance remaining at the end of each year. The fact that this number is 1/2 indicates the half-life of the substance is 1 year.

Learn more about function

brainly.com/question/12431044

#SPJ1

As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4

Slope is a unit used to describe how steep or slope a line is. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on the line is what is referred to as the slope. In other words, the slope of the line going through the two points (x1, y1) and (x2, y2), which are on a line, is given by: Slope is equal to y2 - y1 / x2 - x1. Positive, negative, zero, or undefinable slopes are all possible.

given

With the slope and y-intercept in hand, we can now write the line's equation:

y = 0.4x + 0.2

Given a value for y, we wish to find a solution to this equation for x. In this instance, we're looking for t, or how many minutes it took to fill the tub with w liters of water. We can solve for x by substituting w for y:

w = 0.4t + 0.2

0.4t = w - 0.2

t = (w - 0.2) / 0.4

As a result, the following equation can be used to determine t, or how many minutes it took to fill the tub with w liters of water: t = (w - 0.2) / 0.4.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ1

Therefore, the distance between the two points is simply the difference in their x-coordinates, this makes sense since both points lie on the same horizontal line, and so the vertical distance between them is zero.

Distance is a numerical measurement of how far apart two objects or points are from each other. It is a scalar quantity that is usually expressed in units of length, such as meters, kilometers, miles, or feet. Distance is often used in physics, mathematics, and engineering to describe the spatial separation between two objects or points. It is also used in everyday language to describe how far away something is, such as the distance between two cities or the distance from a person's house to their workplace.

By the question.

The distance between two points on a coordinate plane can be found using the distance formula:

distance =[tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-x_{1}^{2} ) }[/tex]

In this case, the two points are (0, b) and (a, b). We can substitute these values into the distance formula:

distance = [tex]\sqrt{(a-0)^{2}+(b-b)^{2} }[/tex]

distance = [tex]\sqrt{a^{2}+0 }[/tex]

distance = a

To learn more about coordinates:

https://brainly.com/question/28899589

#SPJ1

The surface area of the cylinder with radius 5 inches and rectangle with height 4 inches is equal to 282.6 square inches.

Radius of the base = 5 inches

Height of the rectangle = 4 inches

Surface area of a cylinder

= area of the top and bottom circular faces + the area of the curved surface.

Here,

Rectangle represents the curved surface of the cylinder, with a height of 4 inches and a length equal to the circumference of the base.

Circumference of the base is equal to,

Circumference

= 2πr

= 2 x 3.14 x 5

= 31.4 inches (approx.)

Area of the curved surface of the cylinder is ,

Curved surface area

= Length x Height

= 31.4 inches x 4 inches

= 125.6 square inches

Area of each circular face of the cylinder is ,

Circular face area

= πr²

= 3.14 x 5²

= 78.5 square inches

Substitute the value to get total surface area of the cylinder we have,

Total surface area of the cylinder

= 2 x Circular face area + Curved surface area

= 2 x 78.5 square inches + 125.6 square inches

= 282.6 square inches (approx.)

Therefore, the surface area of the cylinder is approximately equal to 282.6 square inches.

Learn more about surface area here

brainly.com/question/29449022

#SPJ4

Therefore , the solution of the given problem of angles comes out to be the right response is option d 122°.

Using Cartesian coordinates, the top and bottom walls divide the circular lines that make up a skew's ends. There is a chance that two poles will meet at a junction point. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by arranging two line beams in various ways at their extremities.

Here,

180 degrees is the length of a straight circle. It has been split into a 58-degree angle and an unidentified angle, as far as we are aware. So that we can determine the size of the undetermined angle, let's use subtraction:

=> Angle unknown = 180 degrees minus 58 degrees

=> Angle unknown = 122 degrees

As a result, the undetermined angle is 122° in size.

The right response is (d) 122°.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

Yes, the value of 0.75 to 0.83 for a 95% confidence interval is plausible.

A confidence interval is a range of values that has a 95% chance of containing the true population parameter, which in this case is the population proportion (p).

A 95% confidence interval has a margin of error of 5%. Thus, a range of 0.75 to 0.83 has a 95% chance of containing the true population proportion p.

The 95% confidence interval is an estimated range of values which is calculated from sample data, with a 95% chance of containing the true population parameter, p. To calculate the confidence interval, the confidence level and the margin of error must be known.

The confidence level is the probability that the confidence interval will contain the true population parameter, and the margin of error is the amount that the sample statistic can differ from the true population parameter.

A 95% confidence level has a margin of error of 5%, meaning that the sample statistic can be up to 5% away from the true population parameter.

In this case, the 95% confidence interval for the population proportion is 0.75 to 0.83. This means that the range of 0.75 to 0.83 has a 95% chance of containing the true population proportion p, and is thus a plausible value for the population proportion.

To know more about confidence interval  click on below link:

https://brainly.com/question/24131141#

#SPJ11

The most conservative cutover method when converting to a new system is the Phased Cutover.

This method allows for the implementation of the new system in multiple stages, thereby reducing risk. First, the new system is installed and tested. Next, a small portion of data is moved to the new system.

After data is moved, the new system is tested again. This process is repeated until all data has been moved and tested, and the new system is running smoothly.

Once the new system is running successfully, the old system is discontinued.

The phased cutover method ensures that the new system is functioning correctly, and gives time for system users to get used to the new system, before the old system is turned off.

To know more about cutover click on below link:

https://brainly.com/question/14179659#

#SPJ11

The winner of the election got 26320 votes.

Let's first find the total number of votes cast in the election. We know that 2/3 fraction of the electors voted for the first candidate and 1/4 of the electors voted for the second candidate. Therefore, the remaining 1/12 of the electors voted for the third candidate. So, we have:

2/3 + 1/4 + 1/12 = 8/12 + 3/12 + 1/12 = 12/12 = 1

This means that all the electors voted, and the total number of votes cast is equal to the total number of electors.

Now, let's find the number of votes the third candidate got, which is 1/12 of the total number of votes. We know that this is equal to 3290. So, we have

1/12 x Total Number of Votes = 3290

Multiplying both sides by 12, we get:

Total Number of Votes = 3290 x 12 = 39480

Now, we can find the number of votes the first candidate got, which is 2/3 of the total number of votes. We have:

2/3 x Total Number of Votes = 2/3 x 39480 = 26320 votes

Learn more about fraction here

brainly.com/question/8764267

#SPJ4