What is the area of this

Answer:

138024

Step-by-step explanation:

There are 20 cars traveling at constant speeds on a 1 mile long ring track and the cars can pass each other freely. On the track 25% of the cars are traveling at 20 mph, 50% of the cars are traveling 10 mph, and the remaining 25% of the cars are traveling at an unknown speed. It was known that the space mean speed of all the cars on the track is 20 mph.

Therefore, the total number of cars with speed 20 mph is 0.25 × 20 = 5, and the total number of cars with speed 10 mph is 0.5 × 20 = 10.

Then, 5 cars are left with an unknown speed.

Given that the space mean speed of all the cars on the track is 20 mph,Therefore,5 × v + 10 × 10 + 5 × 20 = 20 × 20= 5v + 200 = 400

Thus, the speed of the remaining 25% of cars is:v = 40 mph(b) If an observer standing on the side of the track counted the number and measured t

Summary If an observer standing on the side of the track counted the number of cars passing him in 1 minute, he would see 20 cars and take 3 minutes to count them all.

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Answer:

Step-by-step explanation:

6x + 8 -3y + 5 = -2

6x + 13 - 3y = -2

6x - 3y = -2 -13

6x - 3y = -15

answer- 2x - y = -5

The new image would be similar to the original image, but not congruent to it. Thus, the correct answer is B) Similar.

What is Congruent?

In geometry, two objects are said to be congruent if they have exactly the same size and shape. This means that all corresponding angles and sides of the two objects are equal in measure.

The order of transformations matters when it comes to the final result of the image. Let's start with the reflection over the x-axis. This transformation will change the orientation of the image, so it will not be congruent to the original image.

Next, we apply a 180° rotation. This will result in a new orientation that is upside down and backwards. The rotation itself won't change the size or shape of the image, so it will still be non-congruent but similar to the original image.

Finally, we apply a translation (x-3, y+2). This will move the image three units to the left and two units up. The translation will not change the size or orientation of the image, so it will still be similar to the original image.

Therefore, the new image would be similar to the original image, but not congruent to it. Thus, the correct answer is B) Similar.

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The real numbers can be classified as either rational or irrational numbers.

1. Rational Numbers:
Rational numbers can be expressed as the ratio (or fraction) of two integers. They can be written in the form p/q, where p and q are integers and q is not equal to zero. Rational numbers can be positive, negative, or zero. Some examples of rational numbers include 1/2, -3/4, and 5.

2. Irrational Numbers:
Irrational numbers cannot be expressed as the ratio of two integers. They are non-repeating and non-terminating decimals. Irrational numbers can be positive or negative. Some examples of irrational numbers include √2, π (pi), and e (Euler's number).

It is important to note that the set of real numbers contains both rational and irrational numbers. Every rational number is a real number, but not every real number is a rational number. This means that there are real numbers that cannot be expressed as a fraction.

In summary, the classification of real numbers as rational or irrational depends on whether they can be expressed as a ratio of integers (rational) or not (irrational). The set of real numbers contains both rational and irrational numbers, providing a comprehensive representation of all possible values on the number line.

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The value of the missing internal angle in the irregular polygon is equal to 125°.

The sum of internal angles (S), in degrees, in any convex polygon is determined by the following formula:

S = 180 · (n - 2)

Where n is the number of sides in the polygon.

According to the image seen beside, we find an irregular pentagon, that is, a polygon with five sides. First, determine the sum of internal angles:

S = 180 · (5 - 2)

S = 180 · 3

S = 540°

Second, find the value of the missing internal angles:

y = 540° - 86° - 142° - 72° - 115°

y = 125°

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The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. If the system is inconsistent, it has no solution. If the system is dependent, it has infinitely many solutions.

The number of solutions to a system of linear equations can be determined by solving the equations and checking for consistency. If the system is consistent, it has one unique solution. To check for consistency, the equations must be solved and the solutions compared. If all the solutions are the same, then the system is consistent and has one unique solution. If the solutions are different, then the system is inconsistent and has no solution. If all variables are linearly dependent, then the system is dependent and has infinitely many solutions. To determine if the variables are linearly dependent, one must check for a linear combination of the variables that yields the zero vector. If the linear combination exists, the system is dependent and has infinitely many solutions.

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A) There are 12 elements in the sample space.

B) The required probability is 1/4 or 0.25.

C) Yes, the events are mutually exclusive.

Probability

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty

Part(A)

An experiment consists of first rolling a die and then tossing a coin.

Thus the sample space is:

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

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

Hence, there are 12 elements in the sample space.

Part(B) Let A be the event that either a 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.

Now consider the above sample space. There are 3 possible case in which 2, 3 or 4 is rolled first, followed by landing a head on the coin toss.

i.e (2,H) (3,H) (4,H)

The required probability is: P(A)= 3/12 = 1/4 = 0.25

Hence, the required probability is 1/4 or 0.25.

Part(C)

Mutually exclusive, means that they cannot occur at the same time.

From part (B) Event A = (2,H) (3,H) (4,H)

Let B be the event that a number less than 2 is rolled, followed by landing a head on the coin toss.

Thus, the Event B = (1,H).

Therefore, Event A and B can't be occur at the same time as P(A and B)=0.

Hence, yes, the events are mutually exclusive.

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Answer:

For the coin toss it would be 1/2

For the cube it would be 1/6

you would multiply them so you get 1/12

It's D

Answer:

3:1

54:18

Step-by-step explanation:

You can divide both sides by 9 to get one ratio:

27/9:9/9

3:1

You can also multiply both sides by 2 to get another ratio:

27(2):9(2)

54:18

The probability of making the wrong decision is approximately 0.0082.

According to the central limit theorem, the distribution of the sample mean of a large number of independent and identically distributed random variables approaches a normal distribution. In this case, the random variable is the number of odd outcomes in 100 rounds of the roulette.

As each outcome has an equal probability of being odd, the distribution of the number of odd outcomes is binomial with parameters n=100 and p=1/2.

Using the mean and variance of a binomial distribution, we have:

mean = np = 100 x 1/2 = 50

variance = np(1-p) = 100 x 1/2 x (1 - 1/2) = 25

The standard deviation of the distribution is the square root of the variance, which is 5. Therefore, the z-score for a count of 55 is:

z = (55 - 50) / 5 = 1

Using a standard normal distribution table or calculator, we find that the probability of a z-score greater than 1 (i.e., a count of 55 or more) is approximately 0.1587. However, we are interested in the probability of making the wrong decision, which is the probability of a count of 55 or more given that the roulette is fair.

This probability is equal to the significance level of the test, which is the probability of rejecting the null hypothesis (fair roulette) when it is actually true.

Assuming a significance level of 0.05, the probability of making a Type I error (rejecting a true null hypothesis) is 0.05. Therefore, the probability of making the wrong decision is approximately 0.05 x 0.1587 = 0.0082.

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Answer:

2:1:1

Step-by-step explanation:

Divide the whole ratio by the greatest common factor. That GCF is two.

Answer:

The distance between both numbers is 3.2.

Step-by-step explanation:

How to find the answer is to:

1. Subtract the 9 and 7 to get 2.

2. Place your decimal point behind the 2 to make .2

3. Do 5 minus 2 to get 3.

Your answer is 3.2.

Answer:

\(f(x) = -\frac{3}{2}x +5\)

Step-by-step explanation:

Answer:

12.50

Step-by-step explanation:

Each yogurt is $1.25. 1.25 x 4 = 5. so 1.25 x 10 = 12.50.

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

Vertical lines go up and down and are in the form of x = a, where a stands for the common x-coordinate of all locations, whereas horizontal lines go left to right and take the shape of y = b, where b stands for the y-intercept.

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. Because it appears at an x-value outside of the function's domain, the graph can never cross it. There may be multiple vertical asymptotes for a given function. All common factors are cancelled in the denominator, D(x).

A horizontal asymptote exists of the form y = k where x→∞ or x→ -∞ if the value of the one/both of the limits lim ₓ→∞ f(x) and lim ₓ→ -∞ f(x).

A vertical asymptote exists of the form x = k where y→∞ or y→ -∞.

A slant asymptote exists of the form y = mx + b where m ≠ 0.

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Answer:

It would be 23,000.

Answer:

23,000

Step-by-step explanation:

I did rounding.

Brainlest pls.

Answer:

The total amount of tickets sold was 198 tickets.

Step-by-step explanation:

To get this answer, all we have to do is simply divide the amount of money total by the price of the tickets.

So we get 1584 ÷ 8

Which will equal to 198

Hope this helps:) Goodluck!

Answer:

1104

Step-by-step explanation:

1 package had 12 pencils

thus, 92 packages will have = (92*12) = 1104 pencils

The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

What do you mean by substitution?

The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it easier to answer a pair of linear equations by combining them into a single equation with a single variable.

The equations given in the question,

2x - 4y = -4

x + 2y = 8

Let these two equation be named as 1 and 2 respectively.

Taking equation 2 and making x stay one side and all others on other side of the equation. We get,

x = 8 -2y

Substituting this value of x in equation 1.

2x - 4y = -4

2(8 - 2y) - 4y = -4

y = 2.5

substituting this value of y in equation 2,

x + 2y = 8

x = 8 - 5

x = 3

Therefore, The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

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Complete Question

Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8

Answer:

-0.725x (3.25) x (-4.4)

Since there are 2 negative numbers in the equation, the outcome will be positive.

When the number of negative numbers are even, the outcome will be positive.

When the number of negative numbers are odd, the outcome will be negative.

The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).

To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.

Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.

As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.

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IU grading scale refers to the grading system used by Indiana University to evaluate the performance of its students.

The IU grading scale is a numerical grading system, where each letter grade is assigned a numerical value.

The grades range from A+ (4.0) to F (0.0), with A+ being the highest possible grade and F being the lowest. The grades in between A+ and F include A (4.0), A- (3.7), B+ (3.3), B (3.0), B- (2.7), C+ (2.3), C (2.0), C- (1.7), D+ (1.3), D (1.0), and D- (0.7).

Each course taken at Indiana University is assigned a letter grade based on the student's performance in the course, and these grades are used to calculate the student's overall grade point average (GPA), which represents their academic standing at the university.

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Answer:

11/31 11/12 11/5

Step-by-step explanation:

because 11/5 is a mixed number and the bigger the denominator the smaller the number

The boat is moving at 2  miles per hour and current is 4 miles per hour.

In calm water, the boat travels at a 2 mph pace.

4 miles per hour is the current's speed.

One such computation is as follows.

Let a be a representation of the boat's speed.

Allow b to be the current's speed.

20(a + b) = 240, according to equation 1.

Equation 2: 60(a + b)

Equation 3: a + b = 12

Equation 4: a - b Equals 4.

Equation 3 and equation 4 combined

(a + b) + (a - b)= 12+4

2x = 16

a= 16/2

a= 8

Calculate equation 4 minus equation 3

(a + b) - (a-b)= 12-4

2b= 8

b= 8/2

b= 4

As a result, the boat is moving at 2 miles per hour, while the current is moving at 4 miles per hour.

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∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles,m∠FED + m∠DEW = 90°

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

Complementary Angles defined as angles that sum up to 90 degrees.

Now, we are given that;

∠FED and ∠DEW are complementary.

We want to prove that ∠FEW is a right angle. Thus;

∠FED and ∠DEW are complementary because it is a sum of 90 degrees.

By the law of addition of complementary angles, we can say that;

m∠FED + m∠DEW = 90°

Also,

m∠FED + m∠DEW = m∠FEW by the Angle addition postulate.

By the substitution property of equality, m∠FEW = 90°.

The ∠FEW is a right angle by the definition of right angles.

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Answer:

4 ≥ x÷2.1

Step-by-step explanation:

Given:

A diagram of Aram's observations.

To find:

The measure of the missing angle.

Solution:

From the given figure it is clear that the three angles \(52^\circ,x^\circ,68^\circ\) lie on a single point and right side of a straight line.

So, the sum of angle \(52^\circ,x^\circ,68^\circ\) must be \(180^\circ\).

\(52^\circ+x^\circ+68^\circ=180^\circ\)

\(x^\circ+120^\circ=180^\circ\)

\(x^\circ=180^\circ-120^\circ\)

\(x^\circ=60^\circ\)

Therefore, the measure of the missing angle is \(x^\circ=60^\circ\).

7x + 4 = 46

7x = 46-4

7x = 42

x = 42/7

x = 6

THEREFORE, x = 6

HOPE IT HELPS :)