I have one more question

There are 48 possible poker hands that contain all four aces, and the probability of getting one of these hands is 0.002%.

A poker hand that contains all four aces can be formed in 48 ways.

This is because there are 48 cards remaining in the deck after the four aces are removed, and any one of these cards can be chosen to complete the hand.

The number of ways to choose 5 cards from a deck of 52 is 52C5 = 2,598,960.

So the probability of getting a hand with all four aces is 48/2,598,960 = 0.0000185, or about 0.002%.

For more similar questions on probability:

brainly.com/question/13604758

#SPJ11

To solve the given system of equations for x, we need to use the elimination method to eliminate y.

The given system of equations is:

-14x-7y=-21 ...(1)

x+y=20 ...(2)

Multiplying equation (2) by 7 on both sides, We can use the second equation to express y in terms of x and substitute it into the first equation:

we get:

7x+7y=140 ...(3)

Now, let's add equations (1) and (3):

(-14x-7y)+(7x+7y)

=-21+140-7x=119x=119/-7x

=-17

Therefore, the value of x is -17.Option (E) is the correct answer.

to know more about equations visit:

https://brainly.com/question/14686792

#SPJ11

The estimated margin of error for the survey of the students would be 5%.

Margin of error is a percentage that reflects the degree of inaccuracy inherent in the sample of any survey. It suggests how far the sample estimate is likely to be from the real population value. It gives a measure of the quality of a sample, indicating how far it is from a true representation of the population.

The quick method to estimate the margin of error for a survey with a 95% level of confidence is:

ME = 1 / √n

Where, ME = Margin of error and n = Sample size

Using the given data, the sample size n = 375

Thus,

ME = 1 / √375 = 0.0519 ≈ 5%

Therefore, the estimated margin of error would be approximately 5%.

Learn more about Margin of error:

https://brainly.com/question/15691460

#SPJ11

The different possibilities of combinations of 4 are combinations of 4 distinct items, combinations of 4 items with replacement, combinations of 4 items without replacement and combinations of 4 items without replacement

It depends on what exactly you mean by "combinations of 4." Here are a few possibilities and the corresponding answers:

Combinations of 4 distinct items: If you have 4 distinct items and you want to know how many different ways there are to choose a group of 4 from among them, the answer is 4 choose 4, which is equal to 1.

Combinations of 4 items with replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're allowed to repeat items, the answer is the number of items raised to the 4th power

Combinations of 4 items without replacement: If you have a set of items and you want to know how many different groups of 4 you can make if you're not allowed to repeat items

Learn more about combination here

brainly.com/question/2295036

#SPJ4

Thus, the correct Percent response is B) 79%.

Percentage refers to a portion of every hundred. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, it is frequently shown using the percent sign, "%".

If you have 100 apples and distribute 10 of them, for instance, you have distributed 10% of your total apple supply.

We deduct Ms. Yamato's deductions from her gross income to determine her take-home pay:

$2644 - $548.30 = $2095.702.

By dividing her take-home pay by her gross pay and multiplying the result by 100%, we can determine what proportion of her gross pay is taken home:

($2095.70 / $2644) * 100% = 79%

Thus, the correct response is B) 79%.

To know more about percent visit:

brainly.com/question/28670903

#SPJ1

[1] Mass of evaporating dish #1: 36.190 g

[2] Mass of evaporating dish and original sample: 37.020 g

To calculate the mass of the original sample, we subtract the mass of the evaporating dish from the total mass:

Mass of original sample = Mass of evaporating dish and original sample - Mass of evaporating dish

Mass of original sample = 37.020 g - 36.190 g

Mass of original sample = 0.830 g

[3] Mass of evaporating dish after subliming NH4Cl(g): 36.550 g

To calculate the mass of NH4Cl(g), we subtract the final mass of the evaporating dish from the initial mass:

Mass of NH4Cl(g) = Mass of evaporating dish - Mass of evaporating dish after subliming NH4Cl(g)

Mass of NH4Cl(g) = 36.190 g - 36.550 g

Mass of NH4Cl(g) = -0.360 g (Note: The negative value indicates an error in measurement or calculation. Please double-check the data provided.)

To calculate the percent of NH4Cl (%), we use the formula:

Percent of NH4Cl = (Mass of NH4Cl(g) / Mass of original sample) * 100

Percent of NH4Cl = (-0.360 g / 0.830 g) * 100

Percent of NH4Cl = -43.37% (Note: The negative value also suggests an error. Please review the data carefully.)

Moving on to the determination of Sodium Chloride:

[4] Mass of evaporating dish #2: 41.63 g

[5] Mass of watch glass: 47.84 g

[6] Mass of evaporating dish #2, watch glass, and NaCl(g): 89.510 g

To calculate the mass of NaCl(g), we subtract the sum of the masses of the evaporating dish #2 and the watch glass from the total mass:

Mass of NaCl(g) = Mass of evaporating dish #2, watch glass, and NaCl(g) - (Mass of evaporating dish #2 + Mass of watch glass)

Mass of NaCl(g) = 89.510 g - (41.63 g + 47.84 g)

Mass of NaCl(g) = 89.510 g - 89.47 g

Mass of NaCl(g) = 0.040 g

To calculate the percent of NaCl (%), we use the formula:

Percent of NaCl = (Mass of NaCl(g) / Mass of original sample) * 100

Percent of NaCl = (0.040 g / 0.830 g) * 100

Percent of NaCl = 4.82%

Learn more about mass here:

https://brainly.com/question/941818

#SPJ11

Answer:

1724.9

Step-by-step explanation:

1724.89 ≈ 1724.9

Answer:

1724.9

Step-by-step explanation:

If you want to round to tenths place, look at hundredths place.

If the digit in  hundredths place is  5 or more than 5  (5,6,7,8,9), then add '1' to the tenth place.

Here, 9 is in hundredths place, so add 1 to 8

1724.9

The number of possible sets of heads and tails that have 2 heads is 11.

Given,

There is one coin and it is flipped five times.

First, we have to list out the outcome when we toss the coin five times.

(HHHHH), (HHHHT), (HHHTT), (HHTTT), (HTTTT), (TTTTT), (TTTTH), (TTTHH), (TTHHH), (THHHH), (THTHT), (HTHTH), (THHTT), (THHHT), (HTTTH), (HTTHH), (HTHHH), (THTTT), (TTHTH), (TTTHT), (TTHHT), (HHTHH), (TTHTT), (HHTTH), (HHTHT), (HTHTT), (THTHH), (THTTH), (HTHHT), (HHHTH)

Now, we can list out the possible sets with 2 heads.

(HHTTT), (TTTHH), (THTHT), (HTTHT), (HTTTH), (THHTT), (TTHHT), (TTHTH), (HTHTT), (THTTH), (HTHTT)

So, the number of possible sets of heads and tails that have 2 heads is 11.

Learn more about coin here: https://brainly.com/question/24158973

#SPJ4

4 radians is equal to 299 degree after rounding it to the nearest degree.

Here we have to convert 4 radians into degree.

To convert radians to degrees,

We can use the formula:

degrees = radians x 180 /π

Where π is approximately 3.14.

So, if we substitute 4 radians into the formula, we get:

degrees = 4 x 180 / 3.14

degrees = 229.29

To round this to the nearest degree,

We look at the decimal part:

0.29 is less than 0.50, so we round down.

Therefore, the answer is 229 degrees.

To learn more about round off visit:

https://brainly.com/question/30306930

#SPJ4

A regular hex decagon's measure of one internal angle is 7.5 degrees more than a regular dodecagon's measure of one interior angle.

We must ascertain the measure of each individual angle in each polygon in order to compare the differences in one inside angle between a regular hex decagon and a regular dodecagon.

The following formula can be used to determine the size of each interior angle in a regular polygon with n sides:

Interior Angle = (n - 2) x 180 / n

Regular hex decagon:

Interior Angle = (16 - 2) * 180 / 16

= 14 * 180 / 16

= 2520 / 16

= 157.5 degrees

Regular dodecagon:

Interior Angle = (12 - 2) * 180 / 12

= 10 * 180 / 12

= 1800 / 12

= 150 degrees

Difference = Measure of hexadecagon angle - Measure of dodecagon angle

= 157.5 degrees - 150 degrees

= 7.5 degrees

Therefore, the measure of one interior angle of a regular hex decagon is 7.5 degrees greater than the measure of one interior angle of a regular dodecagon.

Learn more about regular polygon click;

https://brainly.com/question/29722724

#SPJ1

В саду росте 500 дерев, з яких 24% є яблуні, що дає 120 яблунь. Груші становлять 115% кількості яблунь, тобто 135 груш. Вишні становлять 5/6 кількості груш, тобто 112,5 вишні. Решта дерев - сливи становлять 500 - 120 - 135 - 112.5 = 142.5 сливових дерев.

\(\it \dfrac{24}{100}\cdot500=24\cdot5=120\ apples\ trees\\ \\ \\ \dfrac{115}{100}\cdot120=\dfrac{115\cdot12}{10}=\dfrac{1380}{10}=138\ \ pears\ trees\\ \\ \\ \dfrac{5}{6}\cdot138=\dfrac{5\cdot138}{5}=\dfrac{690}{6}=115\ cherries\ trees\\ \\ \\ 500-(120+138+115)=500-373=127\ plums\ trees\)

To enumerate all the numbers between 60 and 70 that are divisible by both 4 and 5, we need to check each number in that range and see if it satisfies both conditions.

The answer to the question "Enumera toate numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5" is:
Numerele cuprinse intre 60 si 70 care pot fi impartite exact la 4 si la 5 sunt 60.

The explanations are given as follows:
Let's start with the number 60. We check if 60 is divisible by 4 by dividing it by 4 and seeing if the remainder is 0. In this case, 60 divided by 4 gives us a remainder of 0, so it is divisible by 4. Next, we check if 60 is divisible by 5 in the same way. Again, 60 divided by 5 gives us a remainder of 0, so it is divisible by 5 as well. Therefore, 60 satisfies both conditions and can be included in our list.
Moving on to the next number, 61, we repeat the same process. We divide 61 by 4 and 61 by 5 and check if the remainders are 0. If any remainder is not 0, then the number is not divisible by both 4 and 5. In this case, 61 is not divisible by either 4 or 5, so we exclude it from our list.
We continue this process for each number between 60 and 70. The numbers that satisfy both conditions, being divisible by 4 and 5, are included in our final list.
Based on this process, the number between 60 and 70 that can be divided exactly by both 4 and 5 is 60

To know more about divisibility by numbers visit:

https://brainly.com/question/9462805

#SPJ11

9514 1404 393

Answer:

  1155 km

Step-by-step explanation:

The arc length of the moon's diameter is ...

  s = rθ . . . . . where r is the distance to the moon, θ is the subtended arc in radians, and s is the moon's diameter.

There are 180° in π radians, and there are 60' in 1°. That means there are π/10800 radians in each minute of arc.

  s = (60·6300 km)(21/10800π) = 2309 km

The radius of the moon is estimated to be half this diameter, or ...

  moon radius ≈ 1155 km

_____

Additional comment

We have calculated the radius of the moon based on the numbers given in this problem. The angle subtended by the moon is actually about 31', not 21'.

Answer:

Mean = 28.33

Step-by-step explanation:

Comment

You need two inputs. The first is the sum of the numbers and the second is the number of entries in the data.

Givens

Sum = 3 +  32 +   36 +   30 +   33 +   36

Number of entries = 6

Solution

Sum = 170

Mean = sum / number of enteries

Mean = 170 / 6

Mean = 28.33

Answer:

D. y = 3x^2 − 2

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

2

)

Focus:  

(

0

,

23

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

25

12

x

y

−

2

−

10

−

1

−

1

0

2

1

−

1

2

−

10

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

3

)

Focus:  

(

0

,

−

23

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

25

8

x

y

−

2

5

−

1

−

1

0

−

3

1

−

1

2

5

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

2

)

Focus:  

(

0

,

−

15

8

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

17

8

x

y

−

2

6

−

1

0

0

−

2

1

0

2

6

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

2

)

Focus:  

(

0

,

−

23

12

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

25

12

x

y

−

2

10

−

1

1

0

−

2

1

1

2

10

The graph of y=6(0.5)x is a decreasing exponential function.

Graph is a data structure that consists of nodes and edges. Nodes are the points which are connected by edges. Graphs are used to represent relationships between different objects, and can be used to represent real-world scenarios such as social networks, road networks, and other types of networks. Graphs are widely used in data science, machine learning, AI, and many other fields. Graphs are powerful because they can show complex relationships between data points that would otherwise be difficult to understand. With graphs, it is easier to analyze and visualize data, allowing for better decision-making.

This is because the exponent, 0.5, is a fraction less than 1, meaning that the value of y decreases at a faster rate with increasing x. This is why the graph is not a straight line, because the slope decreases with increasing x. Furthermore, the y-intercept is (0,6), meaning that the graph starts at 6 on the y-axis and decreases from there. Additionally, the x-intercept is (0.5,0), meaning that the graph crosses the x-axis at 0.5 and decreases from there. Finally, the equation of the asymptote is x=0, indicating that the graph approaches x=0 asymptotically as x approaches infinity. Thus, the graph of y=6(0.5)x is a decreasing exponential function.

To know more about graph click-

https://brainly.com/question/19040584

#SPJ1

Answer:

The linear function f(x) = -6x - 4

Step-by-step explanation:

The equation of the linear function f(x) is y = m x + b, where

The rule of the slope is m = \(\frac{y2-y1}{x2-x1}\) , where  

∵ f(x) = y ⇒ is the function of the set of ordered pairs (x, y)  

∴ f(-2) = 8 is the point (-2, 8)  

∴ f(1) = -10 is the point (1, -10)

∴ x1 = -2 and y1 = 8

∴ x2 = 1 and y2 = -10

→ Substitute them in the rule of the slope to find it

∵ m = \(\frac{-10-8}{1--2}\) = \(\frac{-18}{1+2}\) =  \(\frac{-18}{3}\)

∴ m = -6

→ Substitute it in the form of the equation above

∵ y = -6(x) + b  

∴ y = -6x + b

→ To find b substitute x by 1 and y by -10

∵ x = 1, y = -10

∴ -10 = -6(1) + b

∴ -10 = -6 + b

→ Add 6 to both sides

∵ -10 + 6 = -6 + 6 + b

∴ -4 = b

∴ b = -4

→ Substitute it in the equation

∴ y = -6x + -4

∴ y = -6x - 4

∵ y = f(x)

∴ The linear function f(x) = -6x - 4

Answer:

k = 13.5

Step-by-step explanation:

We can use ratios to solve

3        4.5

---- = ---------

9          k

Using cross products

3k = 9*4/5

Divide each side by 3

3k/3 = 9*4.5/3

k =13.5

Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

The B-Tree index (m = 4) after inserting the given input index

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

To create a B-Tree index with m = 4 after inserting the given input index, we'll follow the steps of inserting each value into the B-Tree and perform any necessary splits or reorganizations.

Here's the step-by-step process:

1. Start with an empty B-Tree index.

2. Insert the values in the given order: 12, 13, 10, 5, 6, 1, 2, 3, 7, 8, 9, 11, 4, 15, 19, 16, 14, 17.

3. Insert 12:

  - As the first value, it becomes the root node.

4. Insert 13:

  - Add 13 as a child to the root node.

5. Insert 10:

  - Add 10 as a child to the root node.

6. Insert 5:

  - Add 5 as a child to the node containing 10.

7. Insert 6:

  - Add 6 as a child to the node containing 5.

8. Insert 1:

  - Add 1 as a child to the node containing 5.

9. Insert 2:

  - Add 2 as a child to the node containing 1.

10. Insert 3:

  - Add 3 as a child to the node containing 2.

11. Insert 7:

  - Add 7 as a child to the node containing 6.

12. Insert 8:

  - Add 8 as a child to the node containing 7.

13. Insert 9:

  - Add 9 as a child to the node containing 8.

14. Insert 11:

  - Add 11 as a child to the node containing 10.

15. Insert 4:

  - Add 4 as a child to the node containing 3.

16. Insert 15:

  - Add 15 as a child to the node containing 13.

17. Insert 19:

  - Add 19 as a child to the node containing 15.

18. Insert 16:

  - Add 16 as a child to the node containing 15.

19. Insert 14:

  - Add 14 as a child to the node containing 13.

20. Insert 17:

  - Add 17 as a child to the node containing 15.

The resulting B-Tree index (m = 4) after inserting the given input index will look like this:

```

                   [10, 13]

                  /       \

       [1, 2, 3, 4, 5, 6, 7, 8, 9]    [11, 12]    [14, 15, 16, 17, 19]

```

Each node in the B-Tree is represented by its values enclosed in brackets. The children of each node are shown below it. The index values are arranged in ascending order within each node.

Please note that the B-Tree index may have different representations or organization depending on the specific rules and algorithms applied during the insertion process. The provided representation above is one possible arrangement based on the given input.

To know more about B-Tree index, visit:

https://brainly.com/question/33169926#

#SPJ11

Answer:

C or A

Step-by-step explanation:

can i have one brainliest plz

Based on the function v(t) = (t - 2)^2,  a. the value of v'(1) is -2  and b. it means that the car is decelerating at a rate of 2 meters per second squared.

a. To find v'(1), we need to take the derivative of the given function v(t) = (t - 2)^2. Using the power rule, we get:

v'(t) = 2(t - 2)^1 * (1) = 2(t - 2)

Now, we can plug in t = 1 to find v'(1):

v'(1) = 2(1 - 2) = 2(-1) = -2

So, v'(1) = -2.

b. The physical meaning of v'(1) is the instantaneous acceleration of the car at t = 1. In other words, it is the rate of change of the car's speed at that specific moment in time. A negative value for acceleration indicates that the car is decelerating, or slowing down. So, at t = 1, the car is decelerating at a rate of 2 meters per second squared.

Note: The question is incomplete. The complete question probably is: Suppose the speed of a car approaching a stop sign is given by v(t) = (t - 2)^2, for 0 ≤ t ≤ 2, where t is measured in seconds and v(t) is measured in meters per second. a. Find v' (1) b. Interpret the physical meaning of this quantity.

Learn more about Function:

https://brainly.com/question/25749514

#SPJ11

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

Learn more about the Pollution

brainly.com/question/23857736

#SPJ11

Answer:

c.(2x+3√3)²

step by step

4x²+3²(√3)²

4x²+9*3

4x²+27

Answer:

------------------------------

Factor the given expression, using the difference of squares identity:

Factoring in below steps:

We can conclude that Sofia has enough money to buy a sandwich, drink and a bag of chips if the cost of each item is less than or equal to $2.67.

To answer the question, we need to find the total cost of the sandwich, drink and a bag of chips and then compare it with the given $8.

Let us assume that the cost of each item is $x. So, the total cost will be: $3x.

Therefore, Sofia has enough money to buy a sandwich, a drink and a bag of chips if the cost of the each item is less than or equal to $2.67.Let's assume that the sandwich costs $2.

Drink costs $1 and a bag of chips costs $0.50.

The total cost will be: $2+$1+$0.50=$3.50.

As the total cost is less than $8, so Sofia has enough money to buy all three items.

Therefore, we can conclude that Sofia has enough money to buy a sandwich, drink and a bag of chips if the cost of each item is less than or equal to $2.67.

To learn more about money visit;

https://brainly.com/question/2696748

#SPJ11

Answer:

Step-by-step explanation:

\(x^2=17^2-15^2\)     (Pythagoras Theorem)

\(x^2=64\)

\(x=8\)

Answer:

.58 cm^3

Step-by-step explanation:

The formula for finding the volume of a cube is V = a^3 where a is a side length.

If you input the given value into the formula, you get .58 cm^3

Please mark as brainliest ;)