What is this? I’m too dumb.

Answer:

Step-by-step explanation:

The odds of selecting 5 cards from a deck of 52 are 52c5. Probability = Maximum outcomes / Possible outcomes for the given circumstance = 52!/47!*5! = 2598960. Now, in poker, the chance of selecting any two numbers from a pool of 13 distinct numbers is 13c2.

Possible poker hands

C(n,r)= C(52,5)

=52!/(5!(52-5!)

=2598960

Hand with pattern

(X,X,Y,Y,Z)

Number of choices for x and y

C(n,r)= C(13,2)

=13!(2!(13-2)!)

=78

Ways to get 2 X's

C(n,r)= C(4,2)= 4!(2!(4-2)!) =6

Similarly, ways to get  2x's is 6

We have 44 choice of occurance for Z

Hands with two pairs =78*44*6*6= 123552

So, Probability of Two pairs is =123552/2598960=0.047539  

P(Two pairs) = 0.0475

How many ways can we choose two pairs in a poker hand?

There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13\cdot 12\cdot 4 = 624 ways to choose two pairs in a poker hand.

In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.

In this problem, we are asked to find the probability of getting a hand with two pairs.

To find the probability of two pairs, we first need to find the total number of possible poker hands. This is done using the combination formula C(n,r) where n is the total number of cards (52 in this case) and r is the number of cards needed to make a hand (5 in this case). This gives us a total of 2598960 possible poker hands.

Next, we need to find the number of possible hands with two pairs. A hand with two pairs has a pattern of X,X,Y,Y,Z where X and Y are the ranks of the pairs and Z is the remaining card. There are 13 ranks in a deck of cards (Ace, 2, 3, ..., 10, Jack, Queen, King) and we need to choose 2 of these ranks to be the ranks of the pairs. This can be done in C(13,2) ways, which is 78.

There are 4 cards of each rank in a deck, so there are 6 ways to choose the 2 cards of rank X and 6 ways to choose the 2 cards of rank Y.

Finally, we have 44 choices for the remaining card (Z) because there are 13 ranks and we have already used up 2 ranks for the pairs.

Therefore, the number of possible hands with two pairs is 78*6*6*44 = 123552. The probability of getting a hand with two pairs is then 123552/2598960 = 0.047539 or approximately 0.0475.

Therefore, the final answer is P(Two pairs) = 0.0475.

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Answer: The probability of receiving a hand with two pairs is  0.04322.

Step-by-step explanation:

How many ways are there in a poker hand to pick two pairs?

There are 13 ways to choose the denomination of the first pair, 12 ways to choose the denomination of the second pair, and 4 choices for the remaining card. Thus, there are 13*12*4 = 624 ways to choose two pairs in a poker hand.

In poker, a hand is made up of 5 cards from a deck of 52 cards. The different possible hands in poker include a royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and one pair.

To choose the denominations of the two pairings, there are C(13,2)=78 possible options. There are C(4,2)=6 methods to select the two cards in each pair for each of these approaches. The remaining card's denomination can be determined in C(4,1)=4 different ways. As a result, there are 78*6*6*4=11232 different ways to deal a hand with two pairs.

A hand of five cards can be dealt in C(52,5)=2598960 different ways. Therefore, the probability of receiving a hand with two pairs is  11232/2598960=0.04322.

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Answer:

11

Step-by-step explanation:

The length of the field is greater than the width by the expression \((14x - 3x^2 + 2y) - (5x - 7x^2 + 7y).\)

1. The length of the field is represented by the expression \(14x - 3x^2 + 2y.\)

2. The width of the field is represented by the expression \(5x - 7x^2 + 7y\).

3. To find the difference between the length and width, we subtract the width from the length: (\(14x - 3x^2 + 2y) - (5x - 7x^2 + 7y\)).

4. Simplifying the expression, we remove the parentheses: \(14x - 3x^2 + 2y - 5x + 7x^2 - 7y.\)

5. Combining like terms, we group the \(x^2\) terms together and the x terms together: \(-3x^2 + 7x^2 + 14x - 5x + 2y - 7y.\)

6. Simplifying further, we add the coefficients of like terms:\((7x^2 - 3x^2) + (14x - 5x) + (2y - 7y).\)

7. The simplified expression becomes: \(4x^2 + 9x - 5y.\)

8. Therefore, the length of the field is greater than the width by the expression \(4x^2 + 9x - 5y.\)

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The Bernoulli differential equation is a nonlinear ordinary differential equation of the form:

dy/dx + P(x)y = Q(x)y^n, where n ≠ 0, 1.

For n = 0 or n = 1, the equation is linear. For other values of n, a common technique to linearize the equation is to make the substitution y = v^(-1/n-1). The resulting equation is:

dv/dx + (P(x) + Q(x)/v^(1/n-1)) * (1/n-1) * v^(1/n-2) * dv/dx = 0.

For the initial value problem given, we have P(x) = -1/x, Q(x) = -5, and n = 2.

We make the substitution y = v^(-1), so v = y^(-1), and dv/dx = -y^(-2)dy/dx. The equation becomes:

-y^(-2)dy/dx + (-1/x - 5y^2) = 0.

We have the initial condition y(1) = 1/5. In terms of v, the initial condition becomes v(1) = 1/(1/5)^2 = 25.

Now, the differential equation is linear, and we can solve it using standard methods, such as separation of variables. To find the solution that satisfies the initial condition, we may use numerical methods such as the Euler method or Runge-Kutta method.

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Answer:

x = -7

Step-by-step explanation:

Firstly, under the rule of opposite vertical angles, you know that any angles opposite of each other in a cross section have the same degree measure.

Therefore the last remaining angle in the triangle will be 85 degrees, since it is vertically opposite of the 85 degree angle.

Next, you know that all three angles of a triangle MUST equal 180 degrees to be considered a complete triangle.

Therefore, use the equation below to solve for x:

180 = 54 + 85 + (48 + x)

x = 180 - 54 - 85 -48 = -7

If the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) then the value is 1.22222

The term "numerical evidence" describes information that is expressed in a numerical manner, such as numbers, quantities, or statistical data. It is thought to be objective and quantifiable, and it is used to support a claim or argument.

The quantity of sales made during a specific business quarter is an example of numerical data. Simply put, if the response includes a number, the data is quantitative (numerical).

Let the equation be \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\)

Simplifying the above equation, we get

\($\frac{x^2-x-30}{x^2-3 x-18}= \frac{x+5}{x+3}$\)

\($=\lim _{x \rightarrow 6}\left(\frac{x+5}{x+3}\right)$$\)

Plug in the value x = 6

= (6 + 5)/(6 + 3)

= 11/9 = 1.22222

Therefore, the equation of \($\lim _{x \rightarrow 6}\left(\frac{x^2-x-30}{x^2-3 x-18}\right)$$\) be 1.22222.

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Therefore, the solutions to the equation 0 = |3x + 3| + 3 are x = -2 and x = 0.

To solve the equation 0 = |3x + 3| + 3, we need to eliminate the absolute value. Remember that the absolute value of a number is always non-negative.

First, let's isolate the absolute value term on one side of the equation:

|3x + 3| = -3

Since the absolute value cannot be negative, there are no solutions to the equation as it stands. However, if we modify the equation to make the right side positive, we can find a solution.

To eliminate the absolute value, we can rewrite the equation as two separate equations, considering both the positive and negative cases:

   3x + 3 = -3

   -(3x + 3) = -3

Solving equation 1:

3x + 3 = -3

3x = -6

x = -2

Solving equation 2:

-(3x + 3) = -3

-3x - 3 = -3

-3x = 0

x = 0

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Answer:A:78

Step-by-step explanation:

Applying the definition of sum of triangle, the third angle measure is: C.  102°

Recall:

Thus, given that a triangle has two angles that measures, 13 degrees and 65 degrees respectively, therefore, the third angle of the triangle can be calculated as follows:

Third angle = 180 - (13 = 65) (Sum of Triangle).

Third angle = 180 - 78

Third angle = 102 degrees.

Therefore, applying the definition of sum of triangle, the third angle measure is: C.  102°

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the total cost of equipment for the boy's team is $5700 and the total cost of equipment for the girl's team is $6305.

How to determine?

To find the total cost of equipment for each team, we can use matrix multiplication. Let's first create a matrix of the costs of each item:

Cost matrix =

[25

125

165]

Then we can create a matrix of the quantities of each item for each team:

Quantity matrix =

[38 18 20 32

15 17 0 0]

To find the total cost of equipment for each team, we can multiply the cost matrix by the quantity matrix:

Total cost matrix = Cost matrix x Quantity matrix

Total cost matrix =

[25 125 165] x [38 18 20 32

15 17 0 0]

Total cost matrix =

[(25 x 38) + (125 x 18) + (165 x 20) (25 x 32) + (125 x 15) + (165 x 17)]

Total cost matrix =

[5700 6305]

Therefore, the total cost of equipment for the boy's team is $5700 and the total cost of equipment for the girl's team is $6305.

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Answer:

The highest you could reach with this ladder is 30 feet or 9.14 meters.

The value of angle BCD is determined as 108⁰.

option B is the correct answer.

The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.

Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.

arc AB =  m∠ACB

m∠ACB =  72⁰

The value of angle BCD is calculated as follows;

angle BCD = 180 - 72⁰ (sum of angles in a circle)

angle BCD = 108⁰

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we know that

the rate of elevation is 2 feet per minute

so

Find out the elevation in 10 minutes

Multiply 2 ft/min by 10 min

2*10=20 ft

therefore

her elevation 10 minutes ago is

0-20=-20 ft ----> is negative because is below sea level

the answer is

-20 ft or 20 ft below the sea level

Answer: 7 * p = 7p

Step-by-step explanation:

Answer: $24

Step-by-step explanation:

Since the popcorn combos are the same amount, we are essentially calculating the difference between 6 adult tickets and 6 student tickets.

6 adult tickets are $10*6 = $60, while 6 student tickets are $6*6 = $36.

60-36= $24

Answer:

120 and 40

Step-by-step explanation:

Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.

The probability of independent events that Colin buys a sandwich and gets the bus is 0.24

Probability is the likelihood of an event.

The probability of independent events A and B is given by P(A ∪ B) = P(A) × P(B) where

Given that the probability that Colin buys a sandwich is 0.3 and the probability that Colin gets the bus is 0.8. Assuming the events are independent, the probability that Colin buys a sandwich and gets the bus is given by P(S ∪ B) = P(S) × P(B) where

So, susbstituting the values of the variables into the equation, we have that

P(S ∪ B) = P(S) × P(B)

= 0.3 × 0.8

= 0.24

So, the probability that Colin buys a sandwich and gets the bus is 0.24

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Answer:

domain : - ∞ < x < 1

Step-by-step explanation:

the function is increasing on the upward part of the curve. that is

from negative infinity to the vertex at (1, 3 )

domain : - ∞ < x < 1

The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).

The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.

The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.

In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).

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From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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So, after Evan's lunch, there was 7/8 quantity of pizza left.

Here we can write,

The simple fraction of \(1\frac{1}{8}\) = 9/8

So, if there were 9/8 pizzas left at the end of the party and Evan ate 2/8 of a pizza for lunch,

we can start by subtracting the amount that Evan ate from the total amount that was left,

⇒ 9/8 - 2/8

To subtract fractions with like denominators,

We can simply subtract the numerators and keep the same denominator,

⇒ 9/8 - 2/8 = 7/8

So, after Evan's lunch, there were 7/8 of a pizza left.

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The average value of the given function on the given interval is = 7/2 and 6.25 respectively

What is Average?

The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.

(a) f(x) = x2 – 8x + 10

f = 1/b-a \(\int\limits^b_a {f(n)} \, dx\)

f = 1/5-2 \(\int\limits^5_2 {x^{2} -8x+10} \, dx\)

Here, a=2

b=5

f(x) =x2 – 8x + 10

f = 1/3 (x³/3 - 8x²/2+10x)5/2

f = -25/9 -20/9

f = -45/9

= -5

Mean Value Theorem

If f(x) = continous on (a, b)

If f(x) = differentiable on (a, b)

Then f(c) = f(b) -f(a)/b-a

were c∈ (a,b)

Here, f(c) = f(-5)-f(2)/5-2

f(c) = -5+2/3

f(c) = -1 ......................(1)

Here, f(x) = x²-8x+10

f(c) = c²-8c+10

f(x) = 2c-8...................(2)

equating 1&2

2c -8 = -1

2c = -1 +8

c = 7/2

c∈ (2,5)

(b) f(x) = Vx on [1, 16]

f = \(\sqrt{x}\) on (1 ,16)

f= 1/b-a \(\int\limits^b_a {f(n)} \, dx\)

f = 1/16-1 \(\int\limits^6_1 {\sqrt{x} } \, dx\)

f = ( 2x (3/2)/45)₁¹⁶

f = 128/45-2/45

f = 126/45

= 14/5

Mean Value Theorem

f(x) = \(\sqrt{x}\)

f(c) =\(\sqrt{c}\)

f(c) = 1/2\(\sqrt{c}\)....................(1)

we know that

f(c) = f(b)-f(a)/b-a

f(c) = f(16)-f(1)/16-1

f(c) = \(\sqrt{16}\) -\(\sqrt{1}\)/15

f(c) = 4-1/15

= 3/15.....................(2)

Equating (1) and (2)

1/2\(\sqrt{c}\) = 3/15

2\(\sqrt{c}\) = 15/3

2\(\sqrt{c}\) = 5

\(\sqrt{c}\) = 5/2

c = (5/2)²

=25/4

c≅ 6.25

6.25 = (1 ,16)

The average value of the given function on the given interval is = 7/2 and 6.25 respectively

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Answer:

The answer is "\(0.02235 \ and \ 0.02501\)".

Step-by-step explanation:

Given:

\(x= 1184\\\\n = 50000\\\\c = 95\% = 0.95\)

The sample proportion is computed by subtracting that sample size by both the successes:

\(\hat{p}=\frac{x}{n} =\frac{1184}{50000}= 0.02368\)

Determine \(z_{\frac{\alpha}{2}} = Z_{0.025}\) using table Z in Table Z for trust level \(1 -\alpha = 0.95\)

add using appendix F ((0.025) inside the table, therefore the z-score is the found z-score with negative sign):

So, the boundaries of the confidence interval:

\(\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 - 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02235 \\\\\to \hat{p}-z_{\frac{\alpha}{2}} \cdot \sqrt{\frac{\hat{p} (1-\hat{p})}{n}} = 0.02368 + 1.96 \cdot \sqrt{\frac{0.02368(1-0.02368)}{50000}}\approx 0.02501\\\\\)

20%

2800/560

= 0.2%

=20%

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

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The unknown number, represented by the variable b, is 1/2, which satisfies the equation "Five more than the product of a number and 8 equals 9."

To solve the equation "Five more than the product of a number and 8 equals 9" using the variable b for the unknown number, we can express this statement as an equation:

8b + 5 = 9

To solve for b, we need to isolate the variable on one side of the equation. Let's simplify the equation step by step:

Subtract 5 from both sides to get rid of the constant term:

8b + 5 - 5 = 9 - 5

8b = 4

Divide both sides of the equation by 8 to solve for b:

8b/8 = 4/8

b = 1/2

Therefore, the solution to the equation is b = 1/2. This means that when we substitute b = 1/2 into the equation, the equation will hold true:

8(1/2) + 5 = 9

4 + 5 = 9

Both sides of the equation are equal, confirming that b = 1/2 is the solution.

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Answer:

\(d = 33\)

Step-by-step explanation:

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d = \sqrt{(13-13)^2+(-14-19)^2}\)

\(d = \sqrt{(0)^2+(-33)^2}\)

\(d = \sqrt{(-33)^2}\)

\(d = 33\)

Answer:

the distance between the two points is 33 units.

Step-by-step explanation:

because the two points have the same x value, we only need to consider the y values.

find the difference to solve for the distance.

\(19-(-14)\\19+14\\33\)

the answer is 33 units.

hope this helps :)