Good Evening May You please help me with this question.
Samantha decided to calculate the mean absolute deviation of the speed of the cars driving by on a busy highway. She watched the sign showing speed as the cars drove by. The next six cars registered these speeds: {65,72,76,68,79}. Help Samantha calculate.

a.4.8 b. 5.3 c. 4.6 d. 4.4

Step-by-step explanation:

Angles DE and AB are alternate angles, they have the same angle values :)

Here is the equation: (6x-12)+(7x+1)= 10x+25

Solve:

13x-11=10x+25

3x=36

x=12

Hope this helps :)

Answer:

the answer is going to be x=12

Answer:

75 percent

Step-by-step explanation:

common sense

Answer:

75 percent

Step-by-step explanation:

3 divided by 4 is equal to 0.75 which is 75 percent

Answer: (5,3)

Step-by-step explanation:

A 180 degree rotation will take you to sector b which is (+,+), so I knew it was going to be positive.

Below is the Python code to simulate the probability of pulling a gold marble.

Python

import random

def simulate_pulling_gold_marble(num_trials):

 num_gold_marbles = 0

 for _ in range(num_trials):

   marble = random.choice(["gold", "red", "blue", "green"])

   if marble == "gold":

     num_gold_marbles += 1

 return num_gold_marbles / num_trials

def main():

 num_trials = 10000

 probability = simulate_pulling_gold_marble(num_trials)

 print("The probability of pulling a gold marble is", probability)

if __name__ == "__main__":

 main()

This code simulates pulling a gold marble 10,000 times. Each time a marble is pulled, it is put back in the bag so that the probability of pulling a gold marble remains the same each time. The code then calculates the proportion of times a gold marble was pulled and prints the probability.

To run the simulation, you can save the code as a Python file and then run it from the command line.

python simulation.py

The output of the simulation should be something like this:

The probability of pulling a gold marble is 0.2433

This means that the probability of pulling a gold marble is about 24%

Learn more about simulation on

https://brainly.com/question/15892457

#SPJ4

The unknown angle x in the triangle is 80 degrees

From the question, we have the following parameters that can be used in our computation:

The triangle

The unknown angle x is calculated using the sum of angles in a triangle theorem

So, we have

x + 60 + 40 = 180

Evaluate the like terms

x + 100 = 180

So, we have

x = 80

Hence, the unknown angle x is 80 degrees

Read more about angles at

https://brainly.com/question/31898235

#SPJ1

There are  7 four-digit numbers n have the property that the three-digit number obtained by removing the leftmost digit is one ninth of n.

Four digit number:

A 4-digit number is a number consisting of only 4 digits, the first digit must be 1 or greater, and the remaining digits can be any digit from 0 to 9. For example, these are the four digit numbers of 5693, 1023 and 9825.

Three digit number:

A three-digit number is a number that only has 100, 10, and 1 digits. The value of a number based on its position within the number. A number format that uses only digits to indicate the value. For example, 631.

According to the question:

Let the number N be  1000a+b  where  1 ≤ a ≤9  and  0 ≤ b ≤ 999 .

So after removing the leftmost digit (most significant digit i.e.  a ) the number is  b  which is 9N . So we have the equation

⇒ b = N9

⇒ b = 1000a + b9

⇒ 8b = 1000a

⇒ b = 125a

Putting in  0 ≤ b ≤ 999  the following is obtained

0 ≤ a <8

But since  1 ≤ a ≤ 9 , therefore we have  1 ≤ a ≤7 . Therefore the possible N are 7 for  a=1  to  7 .

Learn more about four digit number:

https://brainly.com/question/718322

#SPJ4

The algorithm terminates for all real numbers x that are rational, and it does not terminate for all real numbers x that are irrational.

The algorithm aims to find a value of k such that kx is an integer. In step (2), if kx is an integer, the algorithm terminates and outputs k. However, if kx is not an integer, the algorithm proceeds to step (3) by incrementing k and repeating the process.

For rational numbers x, we can express them as fractions p/q, where p and q are integers and q is not equal to zero. In this case, if we set k = q, then kx becomes px/q, which is equal to p, an integer. Therefore, the algorithm terminates for all rational numbers.

On the other hand, for irrational numbers, such as π or √2, there is no value of k that can make kx an integer. Since irrational numbers cannot be expressed as fractions, the algorithm continues to increment k indefinitely, and it does not terminate.

In summary, the algorithm terminates for all rational numbers and does not terminate for all irrational numbers.

Learn more about: algorithm terminates

brainly.com/question/30461929

#SPJ11

Answer:

all of them are right except for A

Step-by-step explanation:

For all non-negative integers j, the value of 'a' after line 4 has executed exactly j times is f(j).

We will employ mathematical induction to demonstrate that the value of 'a' after line 4 has executed exactly j times is f(j) for all non-negative integers j.

The Basis: We must demonstrate that the value of 'a' is f(0) after line 4 has executed 0 times for j = 0. f(0) equals 0 according to the given definition. The base case applies because "a" is given the value 0 after line 1.

Hypothesis Inductive: Inductive Step: Assume that the value of 'a' is f(j) for some non-negative integer j after line 4 has been executed exactly j times. Based on the assumption in the inductive hypothesis, we must demonstrate that the value of 'a' is f(j+1) after line 4 has executed j+1 times.

After the j-th emphasis, 'a' is equivalent to f(j) and 'b' is equivalent to f(j-1). Line 4 of the (j+1)-th iteration gives "a" the value of "b," which is f(j-1) in addition to "a," which is f(j) in itself. This indicates that "a" changes into f(j-1) + f(j) after the (j+1)-th iteration.

We know that f(j+1) = f(j-1) + f(j) from the definition of the Fibonacci sequence. Therefore, the value of "a" following the (j+1)-th iteration is f(j+1).

We can deduce, based on the mathematical induction principle, that the value of 'a' after line 4 has executed exactly j times for all non-negative integers j is f(j).

To know more about Integers, visit

brainly.com/question/929808

#SPJ11

Answer:

4/4, 12/3, -37

Step-by-step explanation:

an integer is a whole number thats not a fraction, but can be negative

Answer:

Domain: \(t \geq 0\)

Range: \(v \geq 550\)

Step-by-step explanation:

Given

\(v = 550 + 16.5t\)

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

\(t \geq 0\)

Solving for Range:

We solved domain to be \(t \geq 0\)

This implies that the minimum value of t is \(t = 0\) and the maximum is infinity

Substitute 0 for t in \(v = 550 + 16.5t\)

\(v = 550 + 16.5(0)\)

\(v = 550 + 0\)

\(v = 550\)

Hence;

The range is \(v \geq 550\)

The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² – 8x + 16 = 9 + 16

Then the equation can be written as

(x – 4)² = 25

x – 4 = ±5

x = 4 ± 5

x = -1, 9

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ1

The average distance between the Earth and the Moon is about 238,855 miles or 1.28 light-seconds.

To convert miles to feet, multiply by 5,280, giving us approximately 1.27 million feet. A rocket traveling at a speed of 1,540,000 ft/min would take approximately 82.5 minutes to travel to the Moon. The round trip to the Moon and back would take approximately 165 minutes, or about 2 hours and 45 minutes.

It's important to note that this is an estimate and the actual time it takes may vary due to various factors such as the rocket's trajectory, speed, and other environmental conditions. Also, it's worth noting that this speed is significantly faster than current spacecraft speeds, so the actual time it would take a rocket to travel to the Moon and back is likely to be much longer.

You can learn more about distance between earth and moon at

https://brainly.com/question/17631610

#SPJ4

Answer:

24 gallons of blue

Step-by-step explanation:

The number of gallons of blue color needed is for the mixer in which 30 gallons of yellow used, 24

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

A new color of green requires 5 yellow to 4 parts blue

The paint mixer used 30 gallons of yellow

The number of gallons of blue color needed = ?

Ratio of yellow to blue in mixture = 5/4

So, if 30 gallons of yellow is used

then gallons of blue = ?

Suppose, gallons of blue =  x

5/4  = 30/x

x  = 24

Hence, the gallons of blue is 24

To know more about Ratio check:

https://brainly.in/question/7996583

#SPJ2

The probabilities when choosing a card of the respective color are

1/26, 1/8, 3/169, 1/676

The probability is equal to the variety of possible outcomes. the total number of outcomes that might occur. For instance, there is only one method to receive a head and there are a total of two possible outcomes, hence the chance of flipping a coin and receiving heads is 1 in 2. (a head or tail). P(heads) = 12 is what we write.

Multiply the total number of possible outcomes by the total number of occurrences. Divide the entire number of ways the event can occur by the total number of potential outcomes after determining the probability event and its related consequences.

The probabilities are:-

p= (1/13)*(1/2)=1/26

p=(1/2)*(1/4)=1/8

p=(1/13)*(3/13)=3/169

p=(1/52)*(1/13)=1/676

To learn more about probability, click the following link:-

https://brainly.com/question/24756209

#SPJ4

The equation of the parabola is y = 2x² - 4x.

To find the equation of the parabola, we need to find the values of a and b in the equation y = ax² + bx.

Since the tangent line at (1, 2) has equation y = 6x - 4, we know that the slope of the tangent line is 6 at x = 1.

The slope of the tangent line is equal to the derivative of the function y = ax² + bx at x = 1.

So, y' = 2ax + b, and y'(1) = 2a + b = 6.

We also know that the point (1, 2) lies on the parabola.

So, 2 = a(1)² + b(1).

Solving these two equations simultaneously, we get a = 2 and b = -4.

To learn more about

Parabola

brainly.com/question/29267743

#SPJ11

Answer:

424.34

Step-by-step explanation:

i took the quiz and got 424.34 correct.

Answer:

The answer would be $424.36

Step-by-step explanation:

The formula for compound interest is A=P(1+r)^t

A=amount

P=principle

R= interest rate

T= term

Hope this helped

Answer:

\(\frac{10}{21}\)

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\(\frac{3(3)}{14(3)}\) + \(\frac{2(2)}{21(2)}\) + \(\frac{1(7)}{6(7)}\)

= \(\frac{9}{42}\) + \(\frac{4}{42}\) + \(\frac{7}{42}\) ← add the numerators, leaving the denominator

= \(\frac{9+4+7}{42}\)

= \(\frac{20}{42}\) ← divide both values by 2

= \(\frac{10}{21}\) ← in simplest form

Seismic hazard analysis is a method of probability assessment that would most likely be used to assess the probability that a major earthquake will occur in California in the next three years.

Seismic hazard analysis is a method used to assess the probability of earthquakes occurring in a specific location, and it involves analyzing the historical records of earthquakes, geological data, and the tectonic plate movements in the area. This method is used to predict the likelihood of future earthquakes and their potential magnitude and intensity.

In the case of California, a seismic hazard analysis would likely be used to assess the probability of a major earthquake occurring in the next three years. The data collected from this analysis would help the government and the public prepare for potential earthquakes and minimize the damage caused by such events.

Read more on Probability:

https://brainly.com/question/251701

#SPJ4

We have multiplied each term by the corresponding weight and then added them to get the final polynomial function. The polynomial function is then simplified to get the required answer.

Given the Lagrange form of the interpolation polynomial: X 1 4,2 6F(x) 0,5 3 2.

The given Lagrange form of the interpolation polynomial is as follows: f(x)=\frac{(x-4)(x-6)}{(1-4)(1-6)}\times0.5+\frac{(x-1)(x-6)}{(4-1)(4-6)}\times3+\frac{(x-1)(x-4)}{(6-1)(6-4)}\times2

The above polynomial can be simplified further to get the required answer.

Simplification of the polynomial gives, f(x) = -\frac{1}{10}x^2+\frac{7}{5}x-\frac{3}{2}

The method is easy to use and does not require a lot of computational power.

Then by the corresponding factors to create the polynomial function.

In this question, we have used the Lagrange interpolation polynomial to find the required function using the given set of points and the corresponding values.

We have multiplied each term by the corresponding weight and then added them to get the final polynomial function. The polynomial function is then simplified to get the required answer.

To know more about Polynomial  visit :

https://brainly.com/question/11536910

#SPJ11

The total amount paid for the bag is $32.47

A sales discount is a reduced price offered by a business on a product or service. Learn how to include discounts on invoices. A sales discount, also commonly known as just a 'discount' provides customers of a business with a reduced rate on one or more of the products or services being offered.

The price of the box is $49.95

45% of the box price = 45/100 × 49.95

= $22.48

10% of the the box price = 49.95×10/100

= $4.995

The total paid = 49.95-22.48 + 4.995

= $32.47

learn more about discount from

https://brainly.com/question/1548141

#SPJ1

The standard normal probability density function is represented by its formula, 1 /σ√2π(e^(-z²/2))

What is standard normal variate?

A standard normal variate is defined as a variate whose mean is equal to 0, i.e. µ=0 and standard deviation is equal to 1, σ =1. Its probability density function is given by:

f(x) = 1/√2π(e^(-z²/2))

Explanation

The standard normal probability density function is a bell-shaped curve that can be represented by using the given formula:

1 /σ√2π(e^(-z²/2))

Hence, the standard normal probability density function is represented by using its formula..

To learn more about the standard normal variate, visit the link given below:

https://brainly.com/question/26787084

#SPJ4

Answer:

the answer is c i did the test again and got it right

Step-by-step explanation:

Answer:

Mia is incorrect. 32% of the students say climbing trees is their favorite.

Step-by-step explanation:

Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100

Number of students that chose climbing trees = 8

Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25

Therefore,

% of the students that say climbing trees = \( {8}{25}*100 = \frac{800}{25} = 32 \).

Mia is wrong.

32% say climbing trees is their favorite. NOT 40%.

Polar Coordinates

Given a point in coordinates (r, θ), the equivalent point in cartesian coordinates (x, y) can be found as:

x = r cos θ

y = r sin θ

We are given the point:

Converting to cartesian coordinates:

The cartesian coordinates are:

The graphed that represents the new function with the same slope and y-intercept is: graph Y.

Slope = rise/run along a line.

Y-intercept is the y-value of the point on the y-axis that the line intercepts.

Slope of the function given = rise/run = 2/1 = 2

2 multiplied by 1/2 = 2/2 = 1.

Y-intercept of the given function is: 1

1 increased by 3 units is: 1 + 3 = 4

The slope of graph Y = rise/run = 2/2/ = 1

The y-intercept is also 4

Therefore, the answer is: Graph Y

Learn more about the slope and y-intercept on:

https://brainly.com/question/25722412

#SPJ1