Help pls i don't understand

The answer is option (C), that is, the events of rolling a fair die two times are independent. The events are neither disjoint nor exclusive.

When rolling a fair die two times, one can get any one of the 36 possible outcomes equally likely. Let A be the event of obtaining an even number on the first roll and let B be the event of getting a number greater than 3 on the second roll. Let’s see how the outcomes of A and B are related:

There are three even numbers on the die, i.e. A={2, 4, 6}. There are four numbers greater than 3 on the die, i.e. B={4, 5, 6}. So the intersection of A and B is the set {4, 6}, which is not empty. Thus, the events A and B are not disjoint. So option (A) is incorrect.

There is only one outcome that belongs to both A and B, i.e. the outcome of 6. Since there are 36 equally likely outcomes, the probability of the outcome 6 is 1/36. Now, if we know that the outcome of the first roll is an even number, does it affect the probability of getting a number greater than 3 on the second roll? Clearly not, since A∩B = {4, 6} and P(B|A) = P(A∩B)/P(A) = (2/36)/(18/36) = 1/9 = P(B). So the events A and B are independent. Thus, option (C) is correct. Neither option (A) nor option (C) can be correct, so we can eliminate options (D) and (E).

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The location of point b on the number line is 8.25.

To find the location of point b on the number line, we need to determine the value that satisfies the ratio of ab:bc being 3:1.

Let's assume that the location of point b is represented by the variable x.

Given that the ratio of ab:bc is 3:1, we can set up the following equation:

ab/bc = 3/1

To find the length of ab and bc, we subtract the respective coordinates:

ab = x - 6

bc = 9 - x

Now we can substitute these values into the equation:

(x - 6)/(9 - x) = 3/1

To solve this equation, we can cross-multiply:

1 * (x - 6) = 3 * (9 - x)

Simplifying the equation:

x - 6 = 27 - 3x

Combine like terms:

4x = 33

Divide both sides by 4:

x = 33/4 = 8.25

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Answer:

The answer to the given question is - ¹/₂

Step-by-step explanation:

Given;

\(\frac{2}{5} \times -\frac{3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5}\)

Before we apply the distributive property, perform the multiplication operation.

\((\frac{2}{5} \times -\frac{3}{7}) - \frac{1}{14} - (\frac{3}{7} \times \frac{3}{5} )\\\\\frac{-6}{35} - \frac{1}{14} - \frac{9}{35}\)

Now, apply the distributive property, to obtain the final answer,

In distributive property, the following rule is applied;

ax + ay = a(x + y)

\(\frac{-6}{35} - \frac{1}{14} - \frac{9}{35} = \frac{-1}{7} (\frac{6}{5} + \frac{1}{2} + \frac{9}{5} )= \frac{-1}{7} (\frac{12 + 5+ 18}{10} )= \frac{-1}{7} (\frac{35}{10} ) = \frac{-35}{70} = \frac{-1}{2}\)

Therefore, the answer to the given question is - ¹/₂

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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In linear equation, 17 seconds it will take to do a complete gaussian elimination of this size.

What are a definition and an example of a linear equation?

Given that your computer completes a 5000 equation back substitution in 0.005 seconds.

then here Work is: n = 5000 and its rate is = (n2) / 0.005 = 5000000000

and Given formula : The approximate operation counts = ((2n^3)/3) = (2.0 * (n3)) / 3.0 = 83333333333.33

then we can found time = operations / rate = 83333333333.33/5000000000 = 16.67 = 17 seconds

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Answer:

x = 5 (i think)

so diana would have $0.25 left

The matrix is not invertible for any values of b and c.

We can determine if the matrix is invertible or not by checking if its row reduce echelon form (RREF) is the identity matrix. We can use elementary row operations to transform the matrix into its RREF without using determinants:

0 1 1 0 0 b  c  

0 0 b 1 0 c-b 0  

0 0 0 0 1 -c -b  

0 0 0 0 0 0  1

The first row of the matrix has a pivot in the second column, so we can use it to eliminate the entries below it. Next, we can use the third column to eliminate the entry in the second row, fourth column. Then, we can use the fifth column to eliminate the entry in the third row, sixth column. Finally, we have a row of zeros in the fourth row, which means that the rank of the matrix is less than 3, so it cannot be invertible.

Therefore, the matrix is not invertible for any values of b and c.

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The linear model for this data is y = 0.63t + 4.922 and the estimated population of Greensboro in 2015 was 11,530

What is slope?

Slope is a measure of the steepness of a line. It is defined as the change in y-coordinate divided by the change in x-coordinate between any two points on the line.

a. To find the linear model for this data, we need to determine the equation of the line that passes through the two given points: (0, 4.922) and (6, 9.1). The slope of this line can be calculated as:

slope = (change in y) / (change in t)

slope = (9.1 - 4.922) / (6 - 0)

slope = 0.63

Using the point-slope form of a linear equation, we can write the equation of the line as:

y - 4.922 = 0.63(t - 0)

Simplifying, we get:

y = 0.63t + 4.922

Therefore, the linear model for this data is y = 0.63t + 4.922.

b. To estimate the population in 2015, we need to find the value of y when t = 11 (since 2015 is 11 years after 2004). Substituting t = 11 into the linear model, we get:

y = 0.63(11) + 4.922

y = 11.53

Therefore, the estimated population of Greensboro in 2015 was 11,530 (rounded to the nearest whole number).

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Answer:

3

Step-by-step explanation:

Remember BEDMAS!!

Brackets first:

(15) / (1+(2)^2)

Exponents next:

(15) / (1+4)

15 / 5 = 3

Hope that helps, feel free to ask questions

The answer is 3 use BODMAS, BEDMAS or PEDMAS

Answer:36

Step-by-step explanation:

Answer:

A: y = -4/5x + 3/2 i believe is the correct answer

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

William drove for 5 hours at an average speed of 54 mi/h.

For the first two hours, he drove at a speed of 45 mi/h.

William's average speed for the last three hours.

Let \(x\) represent the average speed for the last three hours (in mi/h).

The total distance traveled in the first two hours is \(\sf\:45 \, \text{mi/h} \times 2 \, \text{h} = 90 \, \text{miles} \\\).

The total distance traveled in 5 hours is \(\sf\:54 \, \text{mi/h} \times 5 \, \text{h} = 270 \, \text{miles} \\\).

The distance traveled in the last three hours is \(\sf\:270 \, \text{miles} - 90 \, \text{miles} = 180 \, \text{miles} \\\).

The average speed for the last three hours can be calculated as:

\(\sf\:\frac{\text{distance}}{\text{time}} = \frac{180 \, \text{mi}}{3 \, \text{h}} \\\)

Simplifying the expression:

\(\sf\:\frac{180}{3} = 60 \, \text{mi/h} \\\)

Therefore, the average speed for the last three hours is \(\sf\:\boxed{60 \, \text{mi/h}} \\\).

Answer:

Therefore, William's average speed for the last three hours was 60 mi/h, so the answer is (C) 60 mi/h.

Step-by-step explanation:

We can start by using the formula:

average speed = total distance / total time

We know that William drove for a total of 5 hours at an average speed of 54 mi/h, so the total distance he covered was:

total distance = average speed x total time

total distance = 54 mi/h x 5 h

total distance = 270 miles

We also know that for the first two hours, his speed was 45 mi/h. Therefore, he covered a distance of:

distance for first 2 hours = speed x time

distance for first 2 hours = 45 mi/h x 2 h

distance for first 2 hours = 90 miles

To find out the distance he covered for the last three hours, we can subtract the distance he covered in the first two hours from the total distance:

distance for last 3 hours = total distance - distance for first 2 hours

distance for last 3 hours = 270 miles - 90 miles

distance for last 3 hours = 180 miles

Finally, we can use the formula again to find his average speed for the last three hours:

average speed = distance for last 3 hours / time for last 3 hours

average speed = 180 miles / 3 hours

average speed = 60 mi/h

Answer:

The answer to number 9 is: 148.16

Answer:

Step-by-step explanation:

In order to find which prisms have the same, we use the formula:

A = L x W x H (Area = Length x Width x Height)

So, count the individual squares on each side, multiply them, and that is the area. Then, find which ones are the same:

Cube 1: A = 4 x 4 x 3 = 48

Cube 2: A = 6 x 4 x 2 = 48

Cube 3: A = 4 x 3 x 3 = 36

Cube 4: A = 8 x 2 x 2 = 32

Cube 5: A = 4 x 2 x 4 = 32

Cube 6: A = 6 x 2 x 3 = 36

So, Cube 1 and Cube 2 are the same with 48.

Cube 3 and Cube 6 are the same with 36.

Cube 4 and Cube 5 are the same with 32.

:)

Answer: 1 and 2, 4 and 5, and 3 and 6.

Step-by-step explanation: To find the volume of a rectangular prism, you multiply the length, width, and height to get the volume.  The volumes for each cube is in the order of top left and continue until the bottom right.

From there, you can match them, and then your answer is complete.

Let me know if this is right! :)

The magnitude of the electric force upon an electron at point B is 8.16 x 10^-20 N, and it would accelerate in the direction opposite to the electric field, or -7.

The upon an electron at point B can be calculated using the formula F = qE, where F is the force, q is the charge of the electron, and E is the electric field magnitude. The charge of an electron is 1.6 x 10^-19 C, and the electric field magnitude at point B is 0.51 V/m. Therefore, the magnitude of the electric force is:

F = (1.6 x 10^-19 C) (0.51 V/m) = 8.16 x 10^-20 N

To determine the direction in which the electron would accelerate at point B, we need to consider the direction of the electric field. The electric field direction at point B is not given in the table, but we can assume that it is the same as the direction at point A, which is 7.

Therefore, the electron would accelerate in the direction opposite to the electric field, or -7.

The vector indicating the direction in which the electron would accelerate at point B can be drawn as follows:

<--- (electron)

In conclusion, the magnitude of the electric force is 8.16 x 10^-20 N, and it would accelerate in the direction opposite to the electric field, or -7.

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The spaces with inputs; 5 has an output of 16 × 4 + 6 × 25, 100 has an output of 16 × 99 + 6 × 10000, and p has an output of 16 × (p-1)+ 6 × p².

Following the given three examples of the outputs from inputs 1, 3 and 7, we will discover a pattern of subtracting 1 from an input, multiply the result by 16, and then add the square of the input multiplied by 6 to it.

We will derive the missing outputs as follows;

For input 5:

5 - 1= 4

16 × 4

16 × 4 + 6 × 5²

16 × 4 + 6 × 25

For input 100:

100 - 1 = 99

16 × 99

16 × 99 + 6 × 100²

16 × 99 + 6 × 10000

For input p:

p - 1

16 × (p - 1)

16 × (p - 1) + 6 × p²

Hence, the input 5 gives an output 16 × 4 + 6 × 25, input 100 gives an output 16 × 99 + 6 × 10000 and input p gives an output of 16 × (p - 1) + 6 × p² from the reasoned pattern.

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The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

The Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

So, options A and E are correct.

Its arguments are a group of values that can be plugged into a function's domain. This set includes the x values for a function like f(x). Its range refers to the set of digits that the function considers. The function prints these values in the order they are entered after the insertion of an x value.

Another approach to defining the scope and range of functions is through the use of graphs. Since "domain" refers to the set of possible input values, the full set of input values shown on the x-axis is the domain of a graph. On the y-axis, the range's varied output values are visible.

From the graph the points are (0, 0), (1, 2), (2,4), (3,6), (4,8), (5,10)

So,  Range={0, 1, 2, 3, 4, 5}

Domain={0, 2, 4, 6, 8, 10}

Therefore, options A and E are correct.

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Answer:

\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)

Step-by-step explanation:

f(x) = 10x + 3

Then

f(7) = 10 * 7 + 3 = 70 + 3 = 73

Hope it will help :)

Answer:

30

Step-by-step explanation:

each or those boxes is 5. so Thursday is 35 boxes. and Tuesday is 5. so 35-5 is 30

Answer:30

Step-by-step explanation:Thursday had 35 lunches eaten and Tuesday only had 5 so there being there was a difference of 30

What is 10.0833333 as a fraction?

To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000

And finally we have:

10.0833333 as a fraction equals 100833333/10000000

Answer:

A

Step-by-step explanation:

The answer is A because to set up a proportion equation the sides to be corresponding to each other

Given the expression

Use the facts that

So, the expression can be simplified as:

Answer:

2 \(\leq\) x < 7

Step-by-step explanation:

-9 \(\geq\) -3x - 3 > -24

Step 1: Add 3 to all sides; -6 \(\geq\) -3x > -21

Step 2: Divide all sides by -3 (when we divide an inequality, we flip the inequality signs); 2 \(\leq\) x < 7