Florida Pick 3 In the Florida Pick 3 lottery, you can place a “straight” bet of $1 by selecting the exact order of three digits between 0 and 9 inclusive (with repetition allowed), so the probability of winning is 1/1000. If the same three numbers are drawn in the same order, you collect $500, so your net profit is $499.

Answer: D. $722

Step-by-step explanation:

$2,000 - $375 (initial airfare cost which will only be once)

= 1,625

7 x 129 = 903 (cost of the 7 nights in a hotel)

1,625 - 903 = 722

$722 left for the trip

Answer:

  C.  396

Step-by-step explanation:

You want the LCM of 4, 18, and 44.

You can find the least common multiple by considering the unique factors to their highest powers.

  4 = 2^2

  18 = 2·3^2

  44 = 2^2·11

The unique factors are 2, 3, 11, and their highest powers are 2, 2, and 1, respectively. The LCM is ...

  2² × 3² × 11 = 396

__

Check

  396 = 4·99 = 18·22 = 44·9 . . . . . 99, 22, and 9 have no common factors

Answer:

y

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

3/4 of 48 is 36

Andrew needs to choose a captain creature and a partner creature for his expedition to a mysterious dungeon. Each creature belongs to the grass, fire, or water group, and each group has 6 creatures, hence there are 216 ways

If the captain and partner creatures cannot be from the same group, how many ways can Andrew choose a captain creature and a partner creature?" by using combinatorial techniques.

Since Andrew cannot choose a captain and partner creature from the same group, there are 3 choices for the captain creature and 2 choices for the partner creature.

Therefore, the number of ways that Andrew can choose a captain and partner creature is: 3 * 2 * 6 * 6 = 216

Therefore, there are 216 ways that Andrew can choose a captain creature and a partner creature for his expedition to the mysterious dungeon

Find out more about such combination on:https://brainly.com/question/30646507

#SPJ1

The perimeter does indeed equal 254 meters, which confirms that our answer is correct.

Any two-dimensional closed shape's perimeter is defined as the entire distance encircling it. The perimeter of a rectangle, such as the following: Square perimeter equals the sum of its four edges. Rectangle perimeter equals the sum of its four edges.

Let's call the rectangle's unidentified size x.

P = 2l + 2w, where l is the length and w is the breadth, gives the perimeter of a rectangle.

So that we can create an equation:

254 = 2l + 2(6)

Simplifying the right side:

254 = 2l + 12

Subtracting 12 from both sides:

242 = 2l

Dividing both sides by 2:

121 = l

Consequently, the rectangle's undetermined measurement (length) is 121 metres.

We can compute the perimeter using both variables to confirm our conclusion:

P = 2(121) + 2(6) = 242 + 12 = 254

To know more about perimeter visit:-

https://brainly.com/question/6465134

#SPJ9

Answer:

Step-by-step explanation:

To convert the mixed angle measure 96° 29' 1" to decimal degrees, we can use the following formula:

decimal degrees = degrees + (minutes / 60) + (seconds / 3600)

Using this formula, we have:

decimal degrees = 96 + (29 / 60) + (1 / 3600)

decimal degrees = 96.4836111

Therefore, mHJ = 96.4836111 degrees (rounded to seven decimal places).

With a significance level of 0.05, the. option that shows the correct test statistic, P- value, and conclusion is A. Test statistic, -1.952; P-value, 0.0414. There is sufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.

In statistics, the significance level (denoted by α) is the probability of making a Type I error, which is rejecting a true null hypothesis. In other words, it is the maximum allowable probability of observing a result as extreme as or more extreme than the one observed, assuming the null hypothesis is true.

The significance level is typically set by the researcher before conducting a hypothesis test and is usually set to 0.05 (5%) or 0.01 (1%). If the p-value of the test is less than or equal to the significance level, the null hypothesis is rejected in favor of the alternative hypothesis. If the p-value is greater than the significance level, the null hypothesis is not rejected.

The correct option is A.

Learn more about significance level on

https://brainly.com/question/30542688

#SPJ1

With a significance level of 0.05, which of the following shows the correct test statistic, P- value, and conclusion?

Test statistic, -1.952; P-value, 0.0414. There is sufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.

Test statistic, = 0.3619; P-value, 0.6392. There is insufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.

Test statistic, -1.952; P-value, 0.0509. There is sufficient evidence to reject the null hypothesis of no difference between the triglyceride test levels.

Test statistic, t=0.3651; P-value, 0.6425. There is insufficient evidence to reject the null hypothesis of

no difference between the triglyceride test levels.

Applying the angle addition postulate, the value of x in the image given is calculated as: 49.

The Angle Addition Postulate states that for any angle, the sum of its adjacent angles is equal to the angle formed by combining them.

Therefore, we have:

x + 11 + x + 23 = 132

Combine like terms to find the value of x:

2x + 34 = 132

2x = 132 - 34

2x = 98

2x/2 = 98/2

x = 49

Learn more about the angle addition postulate on:

https://brainly.com/question/24746945

#SPJ1

Answer:

Step-by-step explanation:

The president, vice-president, secretary and treasurer are four different positions that need to be filled by ten individuals.

Therefore, the number of ways to elect the president is 10. After electing the president, the number of candidates available for the vice-president position reduces to 9. Similarly, after electing the president and the vice-president, the number of candidates available for the secretary position reduces to 8. Finally, after electing the president, vice-president, and secretary, the number of candidates available for the treasurer position reduces to 7.

Using the multiplication principle of counting, we can find the total number of possible combinations for all four positions by multiplying the number of candidates for each position:

Total number of ways to elect all four positions = (number of candidates for president) x (number of candidates for vice-president) x (number of candidates for secretary) x (number of candidates for treasurer)

= 10 x 9 x 8 x 7

= 5,040

Therefore, there are 5,040 different ways that Sea Esta can elect a president, vice-president, secretary, and treasurer from its board of directors.

The expression that could be used to predict the number of ants on the banana peel after n minutes is given as follows:

5 + 7n.

An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant, being called common difference d.

The nth term of an arithmetic sequence is given by the explicit formula presented as follows:

[tex]a_n = a_1 + (n - 1)d[/tex]

In this problem, the difference between consecutive terms is of 7, meaning that it represents an arithmetic sequence with a common difference of 7.

The first term is of 12, hence we obtained the explicit formula as follows:

12 + 7(n - 1) = 12 + 7n - 7 = 5 + 7n.

More can be learned about arithmetic sequences at https://brainly.com/question/6561461

#SPJ1

Answer:

130

Step-by-step explanation:

Answer: y=130  x=130

Step-by-step explanation:

The correct answer is E (-1,-3). Reflection across the x-axis is a transformation that flips the object across an imaginary line that runs through the center of the x-axis.

Transformation in mathematics is the process of changing an object or figure in some way. This includes changing the size, position, rotation or reflection of an object. Transformations can also be used to move a figure from one coordinate system to another. Common transformations include translation, rotation, reflection and scaling.

In this case, the x-axis is the line y = 0. The figure ABCD is reflected across this line, resulting in point A being reflected to E.

When a figure is reflected, the x-coordinates remain the same, while the y-coordinates change sign. This means that the x-coordinate of point A (-1) remains the same, but the y-coordinate (3) changes to its opposite (-3). Therefore, the resulting coordinates of point A are (-1,-3).

Reflection across the x-axis is an example of a transformation. Transformations involve changing the position, size or orientation of a figure, but not its shape. This means that the figure ABCD is still the same shape after being reflected, but its position has changed. After being reflected, the figure is now located on the opposite side of the x-axis.

For more questions related to reflection

https://brainly.com/question/26494295

#SPJ1

Answer:

Therefore, the maturity value of the loan is $2568.75.

Step-by-step explanation:

To calculate the maturity value of the loan, we need to add the interest to the principal.

First, we need to find out how much interest Ricardo will owe for the 180-day period.

The formula for calculating ordinary interest is:

Interest = Principal x Rate x Time

where:

Principal = $2500

Rate = 7.8% = 0.078 (expressed as a decimal)

Time = 180/360 (since the interest is for a 180-day period and the rate is an annual rate)

Time is expressed as a fraction of a year because the rate is an annual rate. In this case, the time is 180/360 because the loan is for 180 days, which is half of a year.

Using the formula above, we can calculate the interest as follows:

Interest = $2500 x 0.078 x 180/360 = $68.75

Therefore, Ricardo will owe $68.75 in interest for the 180-day period.

To find the maturity value of the loan, we add the interest to the principal:

Maturity Value = Principal + Interest = $2500 + $68.75 = $2568.75

Therefore, the maturity value of the loan is $2568.75.

Answer:

The correct answer is option B.

To find the function with an average rate of change of -4 over the interval [-2,2], we need to calculate the slope of the function between the two points -2 and 2.

Average rate of change = (f(2) - f(-2))/(2 - (-2)) = (-4)

Option B has the function qx with values {-4, 0, 0, -4, -12} at x values {-2, -1, 0, 1, 2}. The average rate of change of this function over the interval [-2,2] is indeed -4.

Approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.

What Is a Normal Distribution?

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

First, we standardize the value of 2.6 as follows:

z = (x - μ) / σ

where x is the value of 2.6, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:

z = (2.6 - 3.7) / 0.6 ≈ -1.83

z = (x - μ) / σ

where x is the value of 3.9, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:

z = (3.9 - 3.7) / 0.6 ≈ 0.33

We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we can find the area as follows:

P(-1.83 < Z < 0.33) ≈ 0.6068

Therefore, approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.

To know more about Normal Distribution visit,

https://brainly.com/question/4079902

#SPJ1

Approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

First, we standardize the value of 2.6 as follows:

z = (x - μ) / σ

where x is the value of 2.6, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:

z = (2.6 - 3.7) / 0.6 ≈ -1.83

z = (x - μ) / σ

where x is the value of 3.9, μ is the mean of 3.7 minutes, and σ is the standard deviation of 0.6 minutes:

z = (3.9 - 3.7) / 0.6 ≈ 0.33

We can use a standard normal distribution table or a calculator to find this area. Using a calculator, we can find the area as follows:

P(-1.83 < Z < 0.33) ≈ 0.6068

Therefore, approximately 60.68% of callers are on hold between 2.6 and 3.9 minutes.

To know more about Normal Distribution visit

brainly.com/question/4079902

#SPJ9

Answer:

trust yourself cuh

Step-by-step explanation:

The formula that could help Jim find Ann’s number, n as soon as he is given the result, r is n = (r - 7) / 5.

Formula 1;

Let the unknown number Ann thought of = n

(n × 5) + 7 = r

5n + 7 = r

If Jim is given Ann's number n if given the results, r

This means Jim will make Ann's number n the subject of the formula;

5n + 7 = r

Subtract 7 from both sides

5n = r - 7

divide both sides by 5

n = (r - 7) / 5

Therefore, the formula written in terms of n is n = (r - 7) / 5

Read more on formula:

https://brainly.com/question/19041791

#SPJ1

Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fractions are parts or pieces of a complete thing.

In this problem, the fractions start out with varying denominators, and then end with the same denominator.  In order to go from different denominators to the same denominator, we must find a common denominator.

A common denominator is a number that denominators of fractions can equal when multiplied by something else.  Ex:  1/3 + 2/ 7  Multiples of 3:  3, 6, 9, 12, 15, 18, 21   Multiples of 7:  7, 14, 21.  Both 3 and 7 have 21 in common, so this would be the common denominator.

A common denominator is needed so fractions with different denominators can be combined.  To get from 6, 3, and 7 to 42, the multiples of 2, 3, and 7 must be listed.

Multiples of 6:  6, 12, 18, 24, 30, 36, 42

Multiples of 3:  3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 29, 42

Multiples of 7:  7, 14, 21, 28, 35, 42

All three numbers have 42 in common, so that is their common denominator.  Whatever was done to the denominator, must be done to the numerator.  Now, we must take the number that can be multiplied by the denominator to reach 42 and multiply it by the numerator.

[tex]\frac{1*7}{6*7}}[/tex]

[tex]=\frac{7}{42}[/tex]

[tex]\frac{2*14}{3*14}[/tex]

[tex]=\frac{28}{42}[/tex]

[tex]\frac{3*6}{7*6}[/tex]

[tex]=\frac{18}{42}[/tex]

So, to sum it up, when trying to add fractions with different denominators, find a common denominator by listing multiples of the denominators and multiply the numerator by the number the denominator was multiplied by to get the common denominator.

The logic in this fraction addition problem is to find a common denominator for all the fractions and then add the numerators. In this case, the common denominator is the least common multiple of the denominators, which is 42.

Now that all the fractions have a common denominator of 42, we can add the numerators to get the final answer:

[tex]\begin{aligned} \sf \dfrac{1}{6} + \dfrac{2}{3} + \dfrac{3}{7} = \dfrac{7}{42} + \dfrac{28}{42} + \dfrac{18}{42} = \bold{\dfrac{53}{42}} \end{aligned}[/tex]

Therefore, the sum of the fractions is 53/42.

I hope this helps!

Answer: 12, 32/11

Step-by-step explanation:

3 12

4 32/11

Answer: 160

Step-by-step explanation: The straight line or line X is 180 degrees. So subtracted 20. This is because X is intersected by another line which makes the upper notch 20 degrees.

Answer: To find the proportions of each type of juice in the 6 quarts of fruit punch, we need to use ratios:

For every 2.5 quarts of apple juice, we need (6/8) x 2.5 = 1.875 quarts of apple juice.

For every 1.5 quarts of cranberry juice, we need (6/8) x 1.5 = 1.125 quarts of cranberry juice.

For every 3 quarts of grape juice, we need (6/8) x 3 = 2.25 quarts of grape juice.

So the proportions of apple, cranberry, and grape juice in the 6 quarts of fruit punch are approximately:

1.875 quarts of apple juice

1.125 quarts of cranberry juice

2.25 quarts of grape juice

Note that these proportions are approximate because we rounded the amounts of each juice to two decimal places.

Step-by-step explanation:

Answer:

Answer:

50313.28

Step-by-step explanation:

A = total amount  

P = principal or amount of money deposited,

r = annual interest rate  

n = number of times compounded per year

t = time in years

For the formula:

A=P(1+r/n)n⋅t

P=$5000 , r=8% , n=1 and t=30 years

Solution:

A= 5000(1+0.08/1) to the power 1.30

 = 5000*1.08 to the power 30

 = 5000*10.062657

 = 50313.28

Answer: Ace has 8 apples Christi has 4 and Pudge has 24

Step-by-step explanation:

Ace has 2 twice as much as Christi has, and 4 x 2 is 8. Pudge has 3 times more than Ace has and 8 x 3 is 24. Pudge has 12 more than Christi and Ace combined. 8 + 4 = 12. 12 + 12 = 24. I hope I explained it right.

As a result, after translation and dilation, the initial quadrilateral's apex (5, 2) changes into the vertex (8, 10).

One quadrilateral is a circular shape with four sides. These geometric shapes are quadrilaterals: produced by Raphael. a quadrilateral form. There is only one pair of parallel edges to the form, and there are no right angles.

To find the coordinates of the vertices of the quadrilateral after translation and dilation, we can follow these steps:

Translate the vertex (5, 2) by subtracting 1 from the x-coordinate and adding 3 to the y-coordinate to get the new coordinates: (5-1, 2+3) = (4, 5).

Dilate the translated vertex by a factor of 2 with respect to the origin (0, 0) to get the final coordinates: (24, 25) = (8, 10).

Therefore, the vertex (5, 2) of the original quadrilateral is transformed into the vertex (8, 10) after translation and dilation.

To know more about Quadrilateral visit:

brainly.com/question/23935806

#SPJ1

The complete question is: After translating a quadrilateral with a vertex at (5,2) to a new position given by (x-1, y+3) and then dilating it by a factor of 2, what are the coordinates of the new vertices of the quadrilateral?

Answer:

(8,10)

Step-by-step explanation:

The set of numbers 36 and 96 has a greatest common factor of 12.

The greatest common factor (GCF) of a set of numbers is the largest number that can evenly divide all the numbers in the set. To find the GCF, we can list all the factors of each number and find the largest one they have in common.

For set A, the factors of 3 are 1 and 3, and the factors of 4 are 1, 2, and 4. There is no common factor greater than 1.

For set B, the factors of 6 are 1, 2, 3, and 6, and the factors of 18 are 1, 2, 3, 6, 9, and 18. The largest factor they have in common is 6.

For set C, the factors of 32 are 1, 2, 4, 8, 16, and 32, and the factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. The largest factor they have in common is 16.

For set D, the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36, and the factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. The largest factor they have in common is 12.

Therefore, set D, consisting of the numbers 36 and 96, has a greatest common factor of 12.

https://brainly.com/question/35541703

#SPJ2

The two square roots of 5 (cos(120°) + i sin(120°)) are sqrt(5) × (cos(60°) + i sin(60°)) and sqrt(5) × (cos(300°) + i sin(300°)).

The complex number in question is the square root of 5, written in trigonometric form as cos(120°) + i sin(120°). To calculate the two individual roots, we can use the identity for the square root of a complex number, which states that for any complex number, z, the square root of z is equal to (sqrt(|z|)) × (cos(θ/2) + i sin(θ/2)), where θ is the argument of z. In this case, we have |z| = 5 and θ = 120°. Therefore, the two individual roots are equal to (sqrt(5)) × (cos(60°) + i sin(60°)) and -(sqrt(5)) × (cos(60°) + i sin(60°)) = sqrt(5) × (cos(300°) + i sin(300°)).

In conclusion, the two square roots of 5 (cos(120°) + i sin(120°)) are sqrt(5) × (cos(60°) + i sin(60°)) and sqrt(5) × (cos(300°) + i sin(300°)).

Learn more about square roots  here:

https://brainly.com/question/29286039

#SPJ1