what is the purpose of post hoc tests? group of answer choices to calculate the f-statistic. to determine if any of the groups differ. to determine if there is an effect. to determine which specific groups are different.

The probability that the ticket holds the winning numbers is given as follows:

1/29,322,216.

A probability is calculated by the division of the number of desired outcomes by the number of total outcomes.

For the Megaball, we have that you pick one from a set of 27, hence the probability is given as follows:

p = 1/27.

For the Winnerball, you must pick the correct combination of 5 numbers from a set of 44.

Applying the combination formula, the number of combinations of 5 numbers from a set of 44 is given as follows:

C(44,5) = 44!/(5! x 39!) = 1,086,008.

Then the probability of getting the correct combination is given as follows:

p = 1/1,086,008

The probability of a ticket holding the winning numbers is given as follows:

p = 1/27 x 1/1,086,008 = 1/29,322,216.

The complete problem is given as follows:

The lottery in our state consists of two drawings. First, a MegaBall is picked from among 27 numbered balls. Second, five WinnerBalls are picked from among 44 numbered balls. To win the lottery, you must pick the MegaBall number correctly and also pick the numbers on the five WinnerBalls (but you don't need to get the order right for the WinnerBalls). What is the probability that the ticket I hold has the winning numbers?

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Answer:

resistant

because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.

Answer: $6,120

Step-by-step explanation:

There are 15 fruits in each basket.

The store shipped 3,825 fruits, to find the number of baskets of fruits shipped you have to divide 3,825 by 15.

3,825 ÷ 15 = 255

Each basket costs $24 so to find the cost of 255 baskets, you multiply 255 by 24.

$24 × 255 = $6,120

Leona earned $6,120 from the gift baskets sold.

Hope this helped!! :p

When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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When a rectangle is rotated about the y-axis, it creates a solid shape known as a cylindrical shell or a hollow cylinder.

When a rectangle is rotated about the y-axis, each point on the rectangle traces a circular path.  

The resulting shape is a solid formed by the collection of these circular paths, creating a cylindrical shell or a hollow cylinder.

The height of the cylinder corresponds to the length of the rectangle, while the circumference of the cylinder corresponds to the width of the rectangle. The rotation about the y-axis gives the shape a cylindrical appearance, with the y-axis running through the center.

This shape is often used in calculus and geometry to calculate volumes and solve related problems. It is important to note that the rotation about the y-axis assumes that the longer side of the rectangle is aligned parallel to the y-axis.

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Answer:

Cost of 7 gallon ice cream = 22.167 (Approx.)

Step-by-step explanation:

Given:

Cost of 3 gallon ice cream = $9.50

Find:

Cost of 7 gallon ice cream

Computation:

Cost of 1 gallon ice cream = 9.50 / 3

Cost of 1 gallon ice cream = $3.1667 (Approx.)

So,

Cost of 7 gallon ice cream = 7 x 3.1667

Cost of 7 gallon ice cream = 22.167 (Approx.)

Answer:

H0 : The mean difference in strikes between pre and post strike is equal to 0

H1 : The mean difference in strikes between pre and post strike is not equal to 0

Step-by-step explanation:

The scenario described abibe meets the condition for a paired (dependent) sample t test as the same subject is involved in both the pre and post strike data. Therefore measurement from the strike(pre) must be paired with measurement from the strike(post) data.

For a paired test involving a single subject ; The mean difference in the two sample is 0 ; that is both are the same while the alternative negates the null by claiming that the mean difference is not equal to zero.

The expected payback for betting $6 on red in this roulette game is approximately -$0.32. This means, on average, you can expect to lose about $0.32 per $6 wagered.

To calculate the expected payback for the game, we need to consider the probabilities and payouts associated with the bet on red.

In a standard roulette wheel, there are 18 red compartments, 18 black compartments, and two green compartments (neither black nor red) representing the 0 and 00. This means there are 38 equally likely outcomes.

If you bet $6 on red, there are 18 favorable outcomes (the red compartments) and 20 unfavorable outcomes (the black and green compartments). Therefore, the probability of winning is 18/38, and the probability of losing is 20/38.

If the color red occurs, you get to keep your bet of $6 and win an additional $6.

To calculate the expected payback, we multiply the probability of winning by the payout for winning and subtract the probability of losing multiplied by the amount wagered:

Expected Payback = (Probability of Winning * Payout for Winning) - (Probability of Losing * Amount Wagered)

Expected Payback = ((18/38) * $6) - ((20/38) * $6)

Expected Payback = ($108/38) - ($120/38)

Expected Payback = -$12/38

The expected payback for betting $6 on red in this roulette game is approximately -$0.32. This means, on average, you can expect to lose about $0.32 per $6 wagered.

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Answer:

3968

Step-by-step explanation:

64000 x .062 = 3968

hope this helps

Answer:

3,968

Step-by-step explanation:

To find the answer divide 64000 by 100. And then multiple that by 6.2

Answer:

Step-by-step explanation:

Adam plans to choose a video game from a section of the store where everything is 75% off.

The expression written by him for this situation is d - 0.75d.

Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.

The expression written by Rena is 0.25d.

Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.

Answer:g(x)

Step-by-step explanation:1/5 g (x)

EXPLANATION

Since the initial amount of money was of $29,820, and the account earns interest rate by a reason of 7% per year, we can use the simple interest rate equation as shown as follows:

Where P=Principal= 29,820, r=rate in decimal form=7/100=0.07 , t=time in years=4,

Plugging in the numbers into the expression:

Multiplying numbers:

Adding the Interest to the Initial Capital: 29,820+8,349 = 38,169

In conclusion, Colin will have $38,169 after 4 years

Answer:

all you need to do is never give up and belive in dreams

Step-by-step explanation:

The equation of line that passes through the point (8,6) and has a slope of 0 is y = 6.

As the sated question-

The passing point; (x1, y1) =  (8,6)

slope m = 0

Thus, equation lo line by slope intercept form is-

y - y1 = m(x - x1)

y - 6 = 0(x - 8)

y = 6

Thus, the equation of the line that passes through the point (8,6) and has a slope of 0 is y = 6.

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

measurements

Step-by-step explanation:

I hope this helped and have a great day!

Answer:

\(\frac{1}{2}\)

Step-by-step explanation:

Substituting into the slope formula, \(m=\frac{-2-3}{-4-6}=\frac{1}{2}\).

Answer:

1/2

Step-by-step explanation:

Answer:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Step-by-step explanation:

Given the vertex equation:

\(\displaystyle{f(x)=-2(x+2)^2-11}\)

First, apply the perfect square formula, expanding to standard form:

\(\displaystyle{f(x)=-2(x^2+4x+4)-11}\)

Expand -2 in:

\(\displaystyle{f(x)=-2x^2-8x-8-11}\)

Evaluate or simplify:

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Hence,

\(\displaystyle{f(x)=-2x^2-8x-19}\)

Answer:

\(\huge\boxed{\sf f(x) = -2x\² - 8x - 19}\)

Step-by-step explanation:

f(x) = -2(x + 2)² - 11

f(x) = -2[(x)² + 2(x)(2) + (2)²] - 11

f(x) = -2(x² + 4x + 4) - 11

Distribute

f(x) = -2x² - 8x - 8 - 11

\(\rule[225]{225}{2}\)

Answer:

400-185 = 215 m

Step-by-step explanation:

You must subtract since the ship went up

When two players A and B alternately flip a fair coin, the probability  E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).

We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).

\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)

As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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See attachment for math work. I did number 3 only.

Given that Ann increased the quantities of all the ingredients in a recipe by 60%. She used 80 grams of cheese. We need to find how much cheese the recipe required. To solve the problem, we can use the concept of inverse proportionality.

Inverse proportionality is a type of relationship between two variables where their product is constant. In other words, if one variable is increased by a certain factor, the other variable will be decreased by the same factor. The general formula for inverse proportionality is: xy = k where x and y are the two variables and k is the constant of proportionality.

Now, let's apply the concept of inverse proportionality to the given problem. Let the amount of cheese required by the original recipe be x grams. Then, according to the problem,x * 0.6 = 80We can simplify this equation to get:x = 80 / 0.6x = 133.33 grams Therefore, the recipe required 133.33 grams of cheese before Ann increased the quantities of all the ingredients by 60%.

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Answer:

rational

Step-by-step explanation:

its decimal expansion terminates after 9 and it can also be represented as fraction.

Answer:

Rational

Step-by-step explanation:

Irrational numbers are numbers that cannot be written as a fraction (denominator of 1 does not count). 2.99 can easily be written as a fraction (e.g.  \(\frac{299}{100}\)) and therefore is rational.

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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The value of angle D, angle E, angle F are 48° , 84° and 48° respectively

An isosceles triangle is a triangle with two equal sides. In the figure above, the two equal sides have length and the remaining side has length. . This property is equivalent to two angles of the triangle being equal. An isosceles triangle therefore has both two equal sides and two equal angles.

Since E is not equal to F then we can possibly say F = D since the triangle is an isosceles triangle.

Therefore :

180 = 5x+59 + 2x+38 + 2x + 38

180 = 9x + 135

9x = 180-135

9x = 45

x = 5

therefore angle E = 5×5 + 59 = 25+59 = 84°

angle D = F = 2×5 + 38 = 10 + 38 = 48°

therefore D = 48°, E = 84°, F = 48°

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Answer:

30 minutes

Step-by-step explanation:

The hare and tortoise meet in 30 minutes at 240 feet.

Answer:

30minutes

Step-by-step explanation:

Tortoise = Hare

2m + 180 = 8m

collect like terms

180 = 8m - 2m

180 = 6m

divide both sides by 6

m = 180/6

m = 30

It will take 30 minutes for the tortoise and hare to meet.

In both cases, we have expressed the original expression without using Absolute value signs.

To rewrite the expression 5x - |x - 5| without using absolute value signs, we need to consider the different cases for the value of x.

Case 1: x < 5

In this case, x - 5 is negative, so the absolute value of (x - 5) is -(x - 5). Therefore, we can rewrite the expression as:

5x - |x - 5| = 5x - (-(x - 5)) = 5x + (x - 5)

Simplifying the expression, we get:

5x + x - 5 = 6x - 5

Case 2: x ≥ 5

In this case, x - 5 is non-negative, so the absolute value of (x - 5) is (x - 5). Therefore, we can rewrite the expression as:

5x - |x - 5| = 5x - (x - 5)

Simplifying the expression, we get:

5x - x + 5 = 4x + 5

To summarize, we can rewrite the expression 5x - |x - 5| as follows:

For x < 5: 6x - 5

For x ≥ 5: 4x + 5

In both cases, we have expressed the original expression without using absolute value signs.

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Answer:

The correct result is 2 pounds per quart

Step-by-step explanation:

Dividing Fractions

The division of two fractions \frac{a}{b} and \frac{c}{d} is written as:

\(\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}\)

This division is usually easier done by multiplying the numerator by the reciprocal of the denominator:

\(\displaystyle \frac{\frac{a}{b}}{ \frac{c}{d}}=\frac{a}{b}\cdot \frac{c}{d}\)

Jessie was dividing these two fractions:

\(\displaystyle \frac{\frac{1}{4}\ pounds}{ \frac{1}{8}\ quart}\)

And got the incorrect result

\(\displaystyle \frac{1}{32}\ \text{ pound per quart}\)

This mistake was probably the result of multiplying both fractions instead of dividing them.

The correct operation is:

\(\displaystyle \frac{\frac{1}{4}}{ \frac{1}{8}}=\frac{1}{4}\cdot \frac{8}{1}=\frac{8}{4}=2\)

The correct result is 2 pounds per quart

Answer:

(4 - 12y)/6

Step-by-step explanation:

3(2x+4y) - 4 = 8

=> 6x + 12y = 8 - 4

=> 6x = 4 - 12y

∴ x = (4 - 12y)/6

Hope this helps!!

The formula for the margin of error in a confidence interval is:
Margin of error = (Z-score) x (standard deviation of the population) / √(sample size)
The formula for the confidence interval is:
Confidence interval = sample mean ± margin of error
The formula for the Z-score is:
Z-score = (x - μ) / (σ / √n)
Where:
x = the sample mean
μ = the population mean
σ = the population standard deviation
n = the sample size

We can combine the formulas to solve the problem:
109.08 = x - (Z-score) x (5.68 / √n)
111.36 = x + (Z-score) x (5.68 / √n)
Subtract the first equation from the second equation:
2.28 = 2 x (Z-score) x (5.68 / √n)
Simplify:
Z-score = 2.28 / (2 x 5.68 / √n) = 0.8√n
Find the Z-score corresponding to a 95% confidence level (two-tailed):
Z-score = 1.96
Substitute in the equation:
0.8√n = 1.96
Solve for n:
n = (1.96 / 0.8)² = 6.07
Round up to the nearest whole number:
n = 7
Therefore, the correct answer is: For a sample size of 7, 95% of the sample means fall within the interval between 109.08 and 111.36.

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