What is the GCF OR 24 and 34​

Answer:

39/52 (or 3/4)

16/52 (or 4/13)

1/52

5/36

16/36 (or 4/9)

Step-by-step explanation:

1.)

A.) Let R= red S=Spade         RUS= R+S-A∩S odds of getting a red card is 26/52 the odds of getting a spade is 13/52 and the odds of getting a red card and a spade is 0 (which means these events are mutually exclusive)

13/52+26/52= 39/52

B.) F=face A=Ace we want FUA= F+A-F∩A

because these two events are mutually exclusive F∩A = 0

odds of getting a face: 12/52 odds of getting an ace: 4/52

12/52+4/52= 16/52

C.) D= diamond n=nine we're looking for D∩N intuitively we know that only one card in the deck is a nine as well as a diamond so the answer must be 1/52. We can confrim this through the fact that you can find the intersection of two independent events by multiplying them. So diamond: 13/52 and n= 4/52 13/52*4/52= 1/52

2.) let F= four E= eleven

A.) we're looking for FUE or F+E-F∩E (these events are mutually exclusive which means that F∩E = 0)

I think the easiest way to solve questions like these is to list out the possible outcomes

the outcomes that add to 4 are

1,3

2,2

3,1

and therefore the probability of having a sum of 4 is 3/36

the outcomes that add to eleven are

6,5

5,6

therefore the probability of having a sum of 11 is 2/36

3/36+2/36 = 5/36

B.) same deal as the one before

list out the outcomes

less than 5

1,1

1,2

1,3

2,1

2,2

3,1

so the odds of rolling two dice and having a sum less than 5 is 6/36

Now list the outcomes where the sum is greater than 8

3,6

4,5

4,6

5,5

5,6

5,4

6,3

6,4

6,5

6,6

the odds of rolling a sum greater than 8 is 10/36

take the sum and get 16/36

\( \huge \mathcal{ Answer࿐}\)

Question 1.) Find Probability :

A. A red card or a spade .

Total red cards = total hearts + total diamonds

Total spades = 13 cards

now, probability of getting either A red card or a spade is :

\( \mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }\)

B. A face card or an ace

favorable outcomes = 12 + 4 = 16

The probability of getting a face card or an ace :

\(\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }\)

C. A diamond and a 9

We know there's only one diamond which is 9

So, favourable outcome = 1

Now, probability of getting a diamond and a 9 :

\(\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }\)

_____________________________

2.) Two pair of dice is rolled. Determine the probability :

The outcomes are :

\((1 , 1) (1 , 2) (1 , 3) (1 , 4) (1 , 5) (1 ,6)\)

\((2 , 1) (2 , 2) (2 , 3) (2 , 4) (2 , 5) (2 , 6)\)

\((3 , 1) (3 , 2) (3 , 3) (3 , 4) (3 , 5) (3 , 6) \)

\((4 , 1) (4 , 2) (4 , 3) (4 , 4) (4 , 5) (4 , 6) \)

\((5 , 1) (5 , 2) (5 , 3) (5 , 4) (5 , 5) (5 , 6) \)

\((6 , 1) (6 , 2) (6 , 3) (6 , 4) (6 , 5) (6 , 6)\)

Total number of outcomes = 6² = 36 outcomes

Find :

A. P (sum is 4 or 11 )

Total number of outcomes having sum of 4 is :

Total number of outcomes having sum of 11 is :

So, favorable outcome = 2 + 3 = 5

Probablity ( sum is 4 or 11 ) :

\(\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }\)

B. P(sum is less than 5 or sum is greater than 8)

Total number of outcomes having sum less than 5 is :

Total number of outcomes having sum greater than 8 is :

So, favorable outcomes = 10 + 6 = 16

Probablity of (sum is less than 5 or sum is greater than 8) is :

\(\mathrm{ \dfrac{favorable \: outcomes}{total \: outcomes} }\)

_____________________________

\(\mathrm{ \#TeeNForeveR}\)

Answer:

Explanation :

A property of an isosceles trapezoid is that its non-parallel sides (legs) have the same length. An isosceles trapezoid is a type of trapezoid where the two non-parallel sides are congruent.

In an isosceles trapezoid, the two opposite angles formed by the parallel sides are also congruent. This means that the angles formed by the non-parallel sides with the parallel sides are equal.

Another property of an isosceles trapezoid is that its diagonals are congruent. The diagonals of a trapezoid are the line segments connecting the non-adjacent vertices. In an isosceles trapezoid, the diagonals are of equal length.

Additionally, the bases of an isosceles trapezoid, which are the parallel sides, are parallel to each other. The other two sides, the legs, are not parallel.

These properties make the isosceles trapezoid a special type of trapezoid with specific symmetry and equality characteristics. These properties can be used to identify and classify shapes in geometric problems and constructions

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Answer:

We had this question last week let me check my book real quick.

AB = BC

Area of shaded part = Area of the square - the area of the circle

Area of shaded part = 37.68- 12 =25.68 square inche

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

2.6

Step-by-step explanation:

2.5÷65=2.6

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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Answer:

7,802,000,000

Step-by-step explanation:

subtract: 1,020,000,000 - 239,800,000

Answer:

a = -c

Step-by-step explanation:

Hello!

Solve for a by isolating the variable.

Solve for a

The solution is a = -c.

The total length of the curve is:

L = L₁ + L₂ + L₃ = 2.841 + 2 + 4 = 8.841.

What is the linear function?

A linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line.

To find the length of the curve, we need to break it into its three segments and find the length of each segment separately.

Segment 1: y = x² from (0,0) to (2,4)

The length of this segment can be found using the arc length formula for a curve y = f(x) from x = a to x = b:

L = ∫[a,b] √[1 + (dy/dx)²] dx

In this case, f(x) = x², so dy/dx = 2x. Thus, the length of this segment is:

L1 = ∫[0,2] √[1 + (2x)²] dx ≈ 2.841

Segment 2: Straight line from (2,4) to (0,4)

The length of this segment is simply the distance between the two points:

L₂ = √[(0-2)² + (4-4)²] = 2

Segment 3: y-axis from (0,4) to (0,0)

The length of this segment is simply the distance between the two points:

L3 = √[(0-0)² + (4-0)²] = 4

Therefore, the total length of the curve is:

L = L₁ + L₂ + L₃ = 2.841 + 2 + 4 = 8.841

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To graph the function f(x) = (x)sin(x) in MATLAB using the fplot command, you can follow the steps below:

matlab

Define the function

f = (x) (x.)sin(x);

Set the range of x values

x = linspace(0, 2.5, 100);

Plot the function

fplot(f, [0, 2.5])

Add labels and title

xlabel(x)

ylabel(f(x))

title(Graph of f(x) = (x)sin(x))

Display the grid

grid on

In this code, we first define the function f(x) = (x)sin(x) using an anonymous function (x). Next, we create a range of x values using linspace from 0 to 2.5 with 100 points. Then, we use the fplot command to plot the function f over the specified range. Finally, we add labels, title, and grid to the graph.

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the value of the expression is 12.

To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.

The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.

It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.

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The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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500.

Solution:  210 is 42% of X  

Equation: Y = P% * X  

Solving our equation for X

X = Y/P%

X = 210/42%  

Converting percent to decimal:

p = 42%/100 = 0.42  

X = 210/0.42  

X = 500

Answer:

the answer is B

Step-by-step explanation:

because if you substitute the x column on the equation so for example 3 x 1 =3 and 3 x 3 = 9 and 3 x 4 = 12 and 3 x 7 = 21 so y = 3x is represented

The answer is B because A just isn't correct its backwards for starters and the wrong numbers, C is wrong because its just doubles, and D is wrong because 4 x 3 isnt 9 and 6 x 3 isnt 12 and 7 x 3 isnt 18.

B is the only one that works

The numbers are inserted into the tree and shown in the below diagrams.

Given that,

Put these numbers into a 2-3-4 tree: 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50.

Binary Tree Data Structure: What is it?

A Binary Tree is a Tree data structure with two children or less. We typically refer to them as the left and right child since each element in a binary tree can only have two children.

Representation of a Binary Tree

A pointer to the topmost node of a binary tree serves as its representation. The root's value is NULL if the tree is empty.

The following components are found in a binary tree node:

Data

Pointer to left child in data

Pointer to the right-hand child

Thereforer, The numbers are inserted into the tree

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The question was incomplete. Check below the complete question.

insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer

Answer: 30 degrees

Step-by-step explanation:

We can calculate the total system reliability by combining the reliability of the parallel and series components. So the total system reliability, rounded to four decimal places, is approximately 0.6742.

To determine the total system reliability, we can use Equations 5.2 and 5.3.

Equation 5.2 calculates the reliability of parallel components, while Equation 5.3 calculates the reliability of series components.

Given the individual component reliabilities of \(A = 0.94, B = 0.81, and C = 0.90\) , we can calculate the reliability of the parallel components first.

Using Equation 5.2: \(Rp = 1 - (1 - A)(1 - B)\)
\(Rp = 1 - (1 - 0.94)(1 - 0.81)\\   = 1 - (0.06)(0.19)\\   = 1 - 0.0114\\   ≈ 0.9886\)
Now, we can calculate the reliability of the series components using Equation 5.3:

\(Rs = A * B * C\\Rs = 0.94 * 0.81 * 0.90\\   ≈ 0.6822\)

Finally, we can calculate the total system reliability by combining the reliability of the parallel and series components:

Total System Reliability = Rp * Rs

Total System Reliability

\(= 0.9886 * 0.6822\\                                 ≈ 0.6742\)

Therefore, the total system reliability, rounded to four decimal places, is approximately 0.6742.

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Correlation coefficients greater than 0.50 rarely occur in the social sciences due to the complexity of human behavior and the limitations of research methods.

Human behavior is influenced by numerous interacting variables, including biological, psychological, sociocultural, and environmental factors. These variables collectively contribute to the observed behavior, making it challenging to find strong correlations with a single variable. Human behavior is a multifaceted phenomenon that cannot be adequately captured by a single measure or variable. Constructing measures of behavior, such as depression or compassion, is inherently difficult. These constructs involve subjective experiences and emotions, which are challenging to quantify accurately. Different aspects and dimensions of behavior may not be fully captured by available measures, leading to a restricted range of variation and lower correlation coefficients.

Moreover, social scientists face constraints in experimental design, as ethical considerations may limit their ability to manipulate certain variables or conduct controlled experiments. This lack of control over variables reduces the likelihood of establishing strong and causal relationships. While social scientists continuously explore and identify variables that predict human behavior, the complex nature of behavior and the inherent limitations in research methods make it rare to observe correlation coefficients greater than 0.50 in the social sciences. Understanding human behavior requires a comprehensive and multifaceted approach that considers the interactions among various factors rather than relying solely on single variables.

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The function is increasing on the open intervals (0, π/6) and (5π/6, π). The function is decreasing on the open interval (π/6, 5π/6).

To find the intervals on which the function is increasing and decreasing, we need to analyze the sign of the derivative of the function.

First, let's find the derivative of the function f(x) = -2cos(x) - x.

f'(x) = 2sin(x) - 1

Now, let's determine where the derivative is positive (increasing) and where it is negative (decreasing) on the interval [0, π].

Setting f'(x) > 0, we have:
2sin(x) - 1 > 0
2sin(x) > 1
sin(x) > 1/2

On the unit circle, the sine function is positive in the first and second quadrants. Thus, sin(x) > 1/2 holds true in two intervals:

Interval 1: 0 < x < π/6
Interval 2: 5π/6 < x < π

Setting f'(x) < 0, we have:
2sin(x) - 1 < 0
2sin(x) < 1
sin(x) < 1/2

On the unit circle, the sine function is less than 1/2 in the third and fourth quadrants. Thus, sin(x) < 1/2 holds true in one interval:

Interval 3: π/6 < x < 5π/6

Now, let's summarize our findings:

The function is increasing on the open intervals:
1) (0, π/6)
2) (5π/6, π)

The function is decreasing on the open interval:
1) (π/6, 5π/6)

Therefore, the correct choice is:

A. The function is increasing on the open intervals (0, π/6) and (5π/6, π). The function is decreasing on the open interval (π/6, 5π/6).

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Answer:

Dispensed

Step-by-step explanation:

James should set up the refreshment stand on the incentre of the obtuse triangle.

The incentre of a triangle is defined as the intersection between the angle bisectors of a triangle. The inradius is the line segments from the incenter of the triangle to each of the three sides of the triangle which are all equal.

The inradius is defined as the radius of an inscribed circle in the triangle. Therefore, the required shortest equal distance from his stand to each road so that the stand is at the same distance for all three roads is on the incentre.

Hence, the correct option is C.

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Answer:

Option D.

Step-by-step explanation:

We have the function:

f(x) = -a*(x + b)^(1/2)

Where:

a > 0

b > 0

Now, as a is positive and we have the coefficient "-a", we will have that the function is always negative.

Why? because (x + b)^(1/2) is always positive.

then: -a*(x + b)^(1/2) is always negative.

We also should see that the domain is not the set of all real numbers, because if:

x + b < 0, then we have the square root of a negative number, and we know that this is a complex number.

The only option that meets these two conditions is option D.

Answer

C

Step-by-step explanation:

Got it mf wrong

Answer:

216 inches

Step-by-step explanation:

Answer:

216

Step-by-step explanation:

Answer:

85%

Step-by-step explanation:

Move the zeros two places