what is the probability a 5-card poker hand contains 5 cards of the same suit? show work using combinations. round your answer to five decimal places.

Answer: You have the correct answer. It's choice C.

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Work Shown:

\(3n^2+5 = -46\\\\3n^2 = -46-5\\\\3n^2 = -51\\\\n^2 = -51/3\\\\n^2 = -17\\\\n = \pm\sqrt{-17}\\\\n = \sqrt{-17} \ \text{ or } \ n = -\sqrt{-17}\\\\n = \sqrt{-1*17} \ \text{ or } \ n = -\sqrt{-1*17}\\\\n = \sqrt{-1}*\sqrt{17} \ \text{ or } \ n = -\sqrt{-1}*\sqrt{17}\\\\n = i\sqrt{17} \ \text{ or } \ n = -i\sqrt{17}\\\\\)

where \(i= \sqrt{-1}\) is the imaginary number.

The quadratic formula is another option you could do and you should get the same answers as above.

Answer:

C is the correct answer hope it helps

Since (2, 1) is the midpoint of CD, we can use the midpoint formula to find the coordinates of point D.

The midpoint formula states that the coordinates of the midpoint M between two points A and B are:

M = ((x_A + x_B)/2, (y_A + y_B)/2)

In this case, we know that point C has coordinates (6, 8), and the midpoint between C and D is (2, 1). Therefore, we can set up two equations using the midpoint formula:

(6 + x_D)/2 = 2 (for the x-coordinates)

(8 + y_D)/2 = 1 (for the y-coordinates)

Solving for x_D and y_D, we get:

6 + x_D = 4 => x_D = -2

8 + y_D = 2 => y_D = -6

Therefore, the coordinates of point D are (-2, -6).

Answer:

15

Step-by-step explanation:

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The area of the irregular polygon will be 15 square units.

The quantity area demonstrates the amount of a sector on a planar or hemispherical cup. Surface area refers to the area of an open surface or the border of a multi-object, whereas the area of a plane region or plane field refers to the area of a form or planar material.

An irregular polygon is shown below: Image of an irregular polygon with a length of 7 units and height of 3 units labeled on the left side. The top side length of 4 units and the side adjacent to it on the right is 2 units.

The diagram is given below. Then the area is given as,

A = 3 x 4 + 1 x 3

A = 12 + 3

A = 15 square units

The area of the irregular polygon will be 15 square units.

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The transformation between the points is (x, y) = (x, -y + 10)

From the question, we have the following parameters that can be used in our computation:

G(9, 12), H(−2, −15), J(3, 8) and

G'(9, -2), H'(-2, 25), J'(3, 2)

We can see that the x coordinates of the image and the preimage are equal

However, the relationship between the y-coordinates is

y' = -y + 10

This means that

(x, y) = (x, -y + 10)

The above rule is a translation transformation

Translation transformation is a transformation that moves each point in a figure or object by a fixed distance in a specified direction.

Hence, the transformation is (x, y) = (x, -y + 10)

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Complete question

26. G(9, 12), H(−2, −15), J(3, 8) and G'(9, -2), H'(-2, 25), J'(3, 2)

Write out the transformation rule from GHJ to G'H'J'

Answer:

the answer is 1/12 square foot

Step-by-step explanation:

.

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

We have,

To find the slope of a line passing through two points (x₁, y₁) and (x₂, y₂), you can use the formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case,

The points are (3, 4) and (5, 8).

Let's substitute these values into the formula:

slope = (8 - 4) / (5 - 3)

= 4 / 2

= 2

Therefore,

The slope of the line passing through the points (3, 4) and (5, 8) is 2.

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Answer:

The given function is k(t) = cos(2πt/3).

The general form of a cosine function is A*cos(Bx - C) + D, where:

Comparing this form to the given function, we can see that:

Therefore, the amplitude of k(t) is 1, the period of k(t) is 3, the phase shift of k(t) is 0, and the vertical shift of k(t) is 0.

Answer:

its 100

Step-by-step explanation:

Answer: 6.75 or 7 laps

Answer:

81.68 mm

Step-by-step explanation:

C = πd = π · 26 ≈ 81.68141 mm

An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:

True!

From: Mr. Otero

Answer:

(2.405,1.357)

Step-by-step explanation:

(2.405,1.357)

Answer:

72

Step-by-step explanation:

9(6)+9(2)=

54+18= 72

Answer:

Olumide will practice 40 minutes of playing the piano

Step-by-step explanation:

Olumide practices piano and guitar in the ratio of 5:8

64 minutes of guitar playing means that Olumide has had 8 individual practicing sessions of guitar (64 / 8 = 8), so he has also had 8 practicing sessions of piano.

5 x 8 = 40 minutes of piano practice

The best way to light a subject against a white background is by lighting the background and the subject with the same light

Since, light falls off in intensity as it travels farther from the source, the distance from the subject to the background greatly impacts the luminosity of the background:

If you want to keep the background as bright as possible without using a second light, place the subject close to the background and the keylight far away. This approach is simple and effective, though it doesn’t provide quite the control of lighting the background independent from the subject.

Therefore, the best way to light a subject against a white background is

by lighting the background and the subject with the same light.

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Answer:

16

Step-by-step explanation:

p = 2j

p+j = 48

2j + j = 48

3j = 48

3/3 j = 48/3

j = 16

The hands of a 12-hour clock will coincide 22 times from 9 am today until 9 am tomorrow.

In a 12-hour clock, the hands coincide when the minute hand and the hour hand are on the same hour marks. For example, when the minute hand and hour hand coincide at 12 o'clock, the next time they will coincide is at 1 o'clock.

The minute hand moves 12 times faster than the hour hand, so for every hour that passes, the minute hand travels 12 hour marks. In a 12-hour clock, the minute hand will travel 360 degrees and the hour hand will travel 30 degrees in one hour. The minute hand travels 12 times faster than the hour hand. We can calculate the number of coincidences between the minute hand and hour hand over 24 hours as follows:

For each hour, the hour hand moves 30 degrees and the minute hand moves 360 degrees.

Therefore, the difference in degrees between the minute hand and hour hand is 330 degrees.Therefore, the hands of a 12-hour clock will coincide 22 times from 9 am today until 9 am tomorrow.

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Answer:

k = 7d

Step-by-step explanation:

y = mx + b

slope (m): 7 kilometers each day

x: Brian runs over d days

y - intercept (b): when x = 0, y = 0 since it will be day 0

y:  total kilometers, k

Answer:

k = 7d

Step-by-step explanation:

The standard form of an equation is :

y = mx + b

Here, the variables for y and x are k and d respectively.

===============================================================

It is given that Brian runs 7 kilometers each day. Hence, that is our rate of change, m. The value of b will be 0 as he starts from 0 km.

============================================================

So, the equation is :

k = 7d

It can be inferred that there is a statistically significant result if the confidence interval excludes the value of zero effect.

Confidence Interval;

In statistics, confidence is another word for probability. For instance, if you create a confidence interval with a 95% confidence level, you can be sure that 95 times out of 100 the estimate will fall between the upper and lower values indicated by the confidence interval.

Therefore,

The confidence level is 95% if your significance level is 0.05. The hypothesis test is statistically significant if the P value is lower than your significance (alpha) level. The findings are statistically significant if the confidence interval excludes the null hypothesis value. 0

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The angle of elevation of a wheelchair ramp with a slope of 1:12 is approximately 4.8 degrees.

The slope of a ramp is typically expressed as a ratio of the vertical rise to the horizontal run. In this case, the ratio is 1:12, which means that for every 1 unit of vertical rise, there is 12 units of horizontal run.

To find the angle of elevation, we can use trigonometry. The tangent of an angle is equal to the ratio of the opposite side (vertical rise) to the adjacent side (horizontal run). In this case, the tangent of the angle of elevation is 1/12.

To determine the angle, we can take the inverse tangent (arctan) of this ratio. Using a calculator or trigonometric tables, we find that arctan(1/12) is approximately 4.8 degrees.

Therefore, the angle of elevation of a ramp with a slope of 1:12 is approximately 4.8 degrees when rounded to the nearest tenth.

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The light should be placed in the middle of the triangle parkway in order to meet the aim of having it at the same distance from each of the three roadways.

Since we want the light to be equally far from all three streets in this scenario, that means we want it to be equally far from each side of the triangle parkway.

In light of this requirement, the lamppost ought to be put in the middle of the triangle parkway. This is due to the incenter's equidistant location from all three sides, which ensures that the distance between the lamppost and each side of the triangle is equal.

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Answer:

C

Step-by-step explanation:

2x + 3 = 5

____ ____

x 2

(cross multiply)

2(2x+3) =5x

4x + 6 = 5 x

6 = 5x - 4x

6 = x

The solution for A'0 is as follows:

A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ)

We start with the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ). To solve for A'0, we isolate it on one side of the equation.

First, we raise both sides to the power of -1/γ, which gives us (A0 - A0') = (βR(RA0'))^(1/γ).

Next, we rearrange the equation to isolate A'0 by subtracting A0 from both sides, resulting in -A0' = (βR(RA0'))^(1/γ) - A0.

Finally, we multiply both sides by -1, giving us A'0 = -((βR(RA0'))^(1/γ) - A0).

Simplifying further, we get A'0 = (βR^(-1/γ) / (1 - R^(-1/γ)))^(1/γ).

Complete question - Solve for A'0, given the equation (A0 - A0')^(-γ) = βR(RA0')^(-γ),

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The area of the rectangular pasture is found to be 80,000 ft².

Given:

Let the pasture's rectangular length be l feet.

Given that the rectangular pasture's length being 200 feet longer than its breadth, its width must be w = l200 feet.

The pasture's boundary is;

2(l + w) = 1200

2(l + l - 200) = 1200

2l - 200 = 600

l = 400 feet

Width; w = l - 200

w = 400 - 200 = 200 feet

Rectangular area;

A = l x w

A = 400 x 200

A = 80,000 ft²

Thus, the area of the rectangular pasture is found to be 80,000 ft².

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Answer:

77 cups

Step-by-step explanation:

88 ounces/ day = 11 cups/ day
A week = 7 days
=> 11 x 7 = 77 cups/week

After 4 hours, the ships will be approximately 44.6 miles apart. answer D is correct

To determine the distance between the two ships after 4 hours, we can use trigonometry to calculate the distances traveled by each ship in their respective directions.

Ship 1 is traveling at a rate of 15 miles per hour. After 4 hours, it will have traveled a distance of 15 miles/hour * 4 hours = 60 miles.

Ship 2 is traveling at a rate of 10 miles per hour. After 4 hours, it will have traveled a distance of 10 miles/hour * 4 hours = 40 miles.

Since the ships are traveling at an angle of 48° with each other, we can treat the distances traveled by each ship as the adjacent sides of a triangle. The distance between the ships will be the hypotenuse of this triangle.

Using the cosine formula, we can calculate the distance between the ships:

Distance = sqrt(\(60^2 + 40^2 - 2 * 60 * 40 * cos(48°)\)) ≈ 44.6 miles.

Therefore, after 4 hours, the ships will be approximately 44.6 miles apart.

The correct answer is (O) 44.6 miles.

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