When one event happening changes the likelihood of another event happening, we say that the two events are dependent.

When one event happening has no effect on the likelihood of another event happening, then we say that the two events are independent.

For example, if you wake up late, then the likelihood that you will be late to school increases. The events "wake up late" and "late for school" are therefore dependent. However, eating cereal in the morning has no effect on the likelihood that you will be late to school, so the events "eat cereal for breakfast" and "late for school" are independent.

Directions for your post

Come up with an example of dependent events from your daily life.
Come up with an example of independent events from your daily life.

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

Answer: m=0

Step-by-step explanation: (-10,17) & (-9, 17) are 2 points away from each other on the x-axis, there is no difference in y. Therefore the answer is zero.

Answer: x+3=0

Step-by-step explanation:

Answer: x+3=0

Step-by-step explanation: make me brainliest please

We can show similarity in the two sides of the display in the following ways:

1. Neither set of data has any outliers.

2. The majority of observations are between 5 and 9 MPa for both sets of data.

However, the statement "Both sets of data have outliers in the data" is contradictory to the first statement, and the statement "The majority of observations are between 10 and 14 MPa for both sets of data" is contradictory to the second statement. Therefore, these statements cannot be used to describe the similarities between the two sides of the display.

Based on the given options, the similarity between the two sides of the display is that the majority of observations are within a similar range for both sets of data. Specifically, option B states that "the majority of observations are between 5 and 9 MPa for both sets of data." Therefore, this is the common similarity between the two sides of the display.

The other options suggest differences between the two sets of data, such as the presence or absence of outliers and differences in the range of values observed.

Know more about similarity in two sides of display here:

https://brainly.com/question/10413676

#SPJ11

The cubic polynomial with the given points is:

y = (1/4)*(x + 4)*(x - 2)*(x - 5)

Any polynomial of degree N with the zeros {a,b, c...} and a leading coefficient K can be written as:

y = k*(x - a)*(x - b)*...

Here we have the zeros: -4, 2, and 5, then we can write:

y = k*(x + 4)*(x - 2)*(x - 5)

And it also passes throuh the point (0, 10), then:

10 = k*(0 + 4)*(0 - 2)*(0 - 5)

10 = k*40

10/40 = k

1/4 = k

The polynomial is:

y = (1/4)*(x + 4)*(x - 2)*(x - 5)

Learn more about polynomials at:

https://brainly.com/question/4142886

#SPJ1

Answer:

7

Step-by-step explanation:

The formula to find the area of a circle is pi*r^2.

We were given 49pi. This means that 49=r^2.

The square root of 49 is 7.

So our radius is 7.

Hope this helps! <3

Answer:

0.8

Step-by-step explanation:   6  22  6  06

I plotted both sides of the equation using DEMOS graphing calculator and located the intersection at (0.779, 2.135)  I found that easier than finding the delta difference of both sides of the equation for the table or solving for x.

Answer: ight I gotchu. It’s a lot tho so bare with me. v = pi10^2 (20) = 6283; v=4/3pi r^3 4/3pi 10^3 = 4188 which is approximately 10,472

Step-by-step explanation:

Answer:

Step-by-step explanation:

15:35 should be 3/7

Answer:

blue is about 31.4

Step-by-step explanation:

orange is about 15.7

Answer:

Both the commutative property of addition and the associative property of addition can be useful in simplifying expressions involving fractions and mixed numbers. The commutative property of addition allows you to reorder terms while the associative property of addition allows you to regroup terms

Step-by-step explanation:

Both the commutative property of addition and the associative property of addition can be useful in simplifying expressions involving fractions and mixed numbers. The commutative property of addition allows you to reorder terms while the associative property of addition allows you to regroup terms

Mark me Brainliest

The inequality that describes how many movies Parv can buy is: n ≤ 10.025

Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.

Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.

Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.

Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:

n * $3.99 ≤ $40.01

This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.

Simplifying the inequality further, we have:

3.99n ≤ 40.01

Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:

n ≤ 40.01 / 3.99

Calculating this value, we have:

n ≤ 10.02506265664

Therefore, the inequality that describes how many movies Parv can buy is:

n ≤ 10.025

This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.

for more such question on inequality visit

https://brainly.com/question/30238989

#SPJ8

Answer:-5 10 ,13

Step-by-step explanation:

Answer:

A is correct

Step-by-step explanation:

You have to find the rate of change for each one.

Divide the price with the amount

Hope this helps!

The glacier will advance approximately 3066 feet in one year, rounding to the nearest hundred.

To determine how many feet the glacier will advance in one year, we need to convert the given measurement from inches per minute to feet per year using dimensional analysis.

First, we convert inches to feet:

1 foot = 12 inches

Next, we convert minutes to years:

1 year = 365 days

1 day = 24 hours

1 hour = 60 minutes

Now we can set up the dimensional analysis:

(2.8 inches) × (1 foot / 12 inches) × (60 minutes / 1 hour) × (24 hours / 1 day) × (365 days / 1 year)

Simplifying the fractions, we get:

(2.8 / 12) feet per minute × (60 × 24 × 365) minutes per year

Calculating the result:

(2.8 / 12) × (60 × 24 × 365) = 3066 feet per year

Therefore, the glacier will advance approximately 3066 feet in one year, rounding to the nearest hundred.

Know more about Glacier here :

https://brainly.com/question/28345828

#SPJ11

x = -1 and x = 3 are the solutions to the equation \(-x^2+2x+3=0\).

To solve the quadratic equation\(-x^2+2x+3=0\), we can use the quadratic formula:

\(x = \frac{(-b \pm \sqrt{b^2 - 4ac)} }{2a}\)

In this case, a = -1, b = 2, and c = 3, so we can substitute these values into the formula:

\(x = \frac{(-2 \pm \sqrt{2^2 - 4*1*3)} }{2*-1}\)

x = (-2 ± sqrt(16)) / (-2)

x = (-2 ± 4) / (-2)

Simplifying this expression, we get:

x₁ = (-2 + 4) / (-2) = -1

x₂ = (-2 - 4) / (-2) = 3

Therefore, the solutions to the equation \(-x^2+2x+3=0\) are x = -1 and x = 3.

Learn more about Quadratic equations here:

https://brainly.com/question/22364785

#SPJ1

The 95% confidence interval for the true proportion of people who favors Candidate a is (a) 0.419 to 0.481.

We can use the formula for a confidence interval for a population proportion:

p ± zsqrt(p(1-p)/n)

where p is the sample proportion, z* is the critical value from the standard normal distribution for the desired level of confidence (95% in this case), and n is the sample size.

Substituting the given values, we have:

450/1000 ± 1.96sqrt((450/1000)(1-450/1000)/1000)

= 0.45 ± 1.96*0.0225

= 0.45 ± 0.0441

Therefore, the 95% confidence interval for the true proportion of people who favor Candidate A is:

0.45 ± 0.0441

= (0.4059, 0.4941)

or approximately:

(0.41, 0.49)

So the answer is (a) 0.419 to 0.481.

To learn more about confidence visit:

https://brainly.com/question/16807970

#SPJ11

Answer:

G. The slope of the function in the table is the opposite of the slope of the function in the graph.

Step-by-step explanation:

Let's calculate the the slope of the function represented by values on a table and also the function represented on a graph.

Slope of the function represented by the table:

Use any two pairs. Let's use (1, 1) and (2, 4).

\( slope(m) = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{2 - 1} = \frac{3}{1} = 3 \)

The slope of the linear function represented by the table of values is 3.

Slope of the function represented by the graph:

Use any the coordinates of any two points on the line graph. Let's use (0, 4) and (1, 1).

\( slope(m) = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{1 - 0} = \frac{-3}{1} = -3 \)

Therefore, the statement that is correct is:

"G. The slope of the function in the table is the opposite of the slope of the function in the graph."

3 is the opposite of -3.

Answer:

nwhbjwhr

Step-by-step explanation:

ewrwrwrwewe

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are:

-6x + 15 < 10 – 5x, which can be simplified to x < 5

and

-6x – 5 < 10 – x, which can be simplified to -5x < 15, and then x > -3

Therefore, the correct options are:

x < 5

A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

To learn more about order of magnitude from given link

https://brainly.com/question/15698632

#SPJ1

Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

The Recurrence Relation T(n) for T(n) = 2n.T(n-1) + 12 2 is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

To solve the given recurrence relation T(n) = 2n * T(n-1) + 12, we can use iteration or expansion methods. Let's use the expansion method to find an explicit formula for T(n).

Expanding the recurrence relation, we have:

T(n) = 2n * (2(n-1) * T(n-2) + 12) + 12

= 2n * 2(n-1) * T(n-2) + 2n * 12 + 12

= 2n * 2(n-1) * (2(n-2) * T(n-3) + 12) + 2n * 12 + 12

By continuing this process, we can observe a pattern. Each term in the expansion will be of the form 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0), where T(0) is the initial term.

The number of factors of 2 will depend on the value of n. We can see that for each term, the number of factors of 2 is n! (n factorial). Therefore, the explicit formula for T(n) is:

T(n) = 2n * 2(n-1) * 2(n-2) * ... * 2(1) * T(0) = 2^n * n! * T(0).

In this case, T(0) represents the initial term of the sequence. Without knowing its value, we cannot provide a specific numerical solution. However, the above formula provides a general expression for T(n) in terms of n and T(0), satisfying the given recurrence relation.

To learn more about Recurrence Relations, click here
brainly.com/question/32227703

#SPJ11

The graph of the inequality y^2 > 0 represents all real numbers except y = 0.

The graph of the inequality y < 30 represents all real numbers less than 30.

The inequality y^2 > 0 represents all values of y where y squared is greater than 0. Since the square of any nonzero number is always positive, the solution is all real numbers except y = 0, which can be graphed as a number line with an open circle at y = 0.

The inequality y < 30 represents all values of y that are less than 30. This can be graphed as a horizontal line on the y-axis with an open circle at y = 30, indicating that 30 is not included in the solution set.

For the real-world applications, let's solve them step-by-step:

Two numbers add up to 144. One number is half the square of the other number.

Let's assume the two numbers are x and y. We have the following system of equations:

x + y = 144 (Equation 1)

x = (1/2)y^2 (Equation 2)

From Equation 1, we can solve for x in terms of y: x = 144 - y.

Substituting this into Equation 2, we get 144 - y = (1/2)y^2.

Rearranging the equation, we have: (1/2)y^2 + y - 144 = 0.

Now we can solve this quadratic equation for y. Once we find the value(s) of y, we can substitute them back into Equation 1 to find the corresponding values of x.

The squares of two numbers add to 1,156. The second number is the square root of three times the square of the first number.

Let's assume the two numbers are x and y. We have the following system of equations:

x^2 + y^2 = 1156 (Equation 1)

y = √(3x^2) (Equation 2)

Substituting Equation 2 into Equation 1, we get: x^2 + (√(3x^2))^2 = 1156.

Simplifying, we have x^2 + 3x^2 = 1156.

Combining like terms, we get 4x^2 = 1156.

Now we can solve this quadratic equation for x. Once we find the value(s) of x, we can substitute them back into Equation 2 to find the corresponding values of y.

Remember to leave a 1 line space between paragraphs in your answer.

For more questions like Inequality click the link below:

https://brainly.com/question/28823603

#SPJ11

Answer:

Step-by-step explanation:

Mr. Schwartz begins with total number of wheels = 85

he has to order more wheels once he left with less than 40 wheels

so min. no. of wheels he can use before ordering more wheels = 85-40 = 45

Mr. Schwartz uses 4 wheels to build 1 car

Mr. Schwartz uses 45 wheels to build 45÷4 = 11.25 cars

then, if he builds 12 cars then he needs 12×4 = 48 wheels

total supply of wheels he begins with = 85

wheels he used to build 12 cars = 48

so total number of wheels remaining  are = 85-48 = 37

since 37 is less than 40 so after building 12 cars Mr. Schwartz need to order more wheels.

Linear inequality that is used to find number of cars before Mr. Schwartz places an order for more wheels is equals to 4x ≥ 45.

"Linear inequality is defined as a  expression where we compare two different linear expression with the help of sign of inequality."

According to the question,

Number of supply wheels  =85

Number of wheels required for each car = 4

Mr. Schwartz has to order more wheels when,

Number of wheels < 40

x represents number of cars

As per conditions given ,

Inequality used to find number of cars before placing order for more wheels is 80 -40= 45

Therefore, required linear inequality is

4x ≥ 45

Hence, required linear inequality is 4x ≥ 45.

Learn more about linear inequality here

https://brainly.com/question/11897796

#SPJ2

Answer:

B: Distinct lines

Step-by-step explanation:

If you go to desmos graphing calculator add put the equations in you can see they never interesct

Answer:

B) distinct parallel lines

Step-by-step explanation:

First, place both equations in slope-intercept form:

y + 6 = \(-\frac{1}{3}\) (x - 15)

y + 6 = -1/3x + 5

y = -1/3x - 1

2x + 6y = 24

6y = -2x + 24

y = -2/6x + 4

y = -1/3x + 4

Because they have the same slope and different y-intercepts, they are parallel.

Answer:

Step-by-step explanation:

The answer is 570 because if you multiply 38 times 15 = 570 so it is 570. Thank you for answering to hope this helps you if you need more help contact me!

Answer:

$5.70

Step-by-step explanation:

Since it is 15% to make it a decimal you would move the decimal 2 places to the left to make it 0.15 and then multiply like this 38(.15) which is 5.7. So, shipping and handling is $5.70.

Hey there!

\(Answer:\boxed{2x-28}\)

\(Explanation:\)

\(2x-30+2\)

Let's start off by simplifying.

\(2x+-30+2\)

Now let's combine like terms.

\(2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28\)

\(\boxed{2x-28}\text{ is your answer.}\)

Hope this helps!

\(\text{-TestedHyperr}\)

Answer:

Step-by-step explanation:

Given the function

f(x) = 2x³ -3x²+ 7

putting x=-1 to find f(-1)

f(-1) =  2(-1)³ -3(-1)²+ 7

      = -2 + 3 + 7

      = 8

putting x=1 to find f(1)

f(1) =  2(1)³ -3(1)²+ 7

      = 2 - 3 + 7

      = 6

putting x=2 to find f(2)

f(2) =  2(2)³ -3(2)²+ 7

      = 16 - 12 + 7

      = 11

Therefore,