The senior classes at High School A and High School B planned separate trips to the
local
amusement park. The senior class at High School A rented and filled 13 vans and 2
buses with
183 students. High School B rented and filled 3 vans and 11 buses with 253 students.
Each van
and each bus carried the same number of students. How many students can a van
carry? How
many students can a bus carry?
Van:
Bus:

Answer:

x=-5/3

y=-4/3

Step-by-step explanation:

Given:

x+y=-3

y=2x+2

Substitute y into the first equation

x+2x+2=-3

combine like terms

3x+2=-3

subtract 2 from both sides

3x=-5

divide both sides by 3

x=-5/3

Substitute in x for the second equation:

y=2(-5/3)+2

y= -4/3

Hope this helps! :)

Answer:

5555555555555555555 i dont know what this maens sorry

Answer:

\(D. \: 140\)

Step-by-step explanation:

\( \frac{35 \times 100}{25} = 140\)

The most appropriate test to use the given situation is option (B) two sample z test

Total number of alumni were surveyed = 1046

Number of alumni attempted at least one class reunion = 653

Similarly, in public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion.

The two sample z test is used to compare the means of two samples to see if it is feasible that they come from the same population.

The difference in the sample proportion is statistically significant

Therefore, the correct test for the situation is option (B) two sample z test

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The roots are x = 4  and  2

I'm really sorry if this is wrong but basically 3x4 = 12 and 12x which they both could be mutiplied by 2 to get 24

Answer:

linear

Step-by-step explanation:

y = mx + b is equation for linear functions

Answer:

f-1 (x)

f-1 ×2 +7

f- 2 +7

f = + 5

The answer is approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (-1 to +1) of the mean, according to the empirical rule.

According to the empirical rule, approximately 68% of the scores in a normally distributed set of data will fall within one standard deviation (i.e., within -1 to +1 standard deviation) of the mean. This is also known as the 68-95-99.7 rule or the three-sigma rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean.

Therefore, the answer to the question is 68%.

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Answer:

720°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Identify

We have an irregular hexagon. We have n = 6 sides.

Step 2: Find Angle Sum

The ratio of the largest element of the set to the sum of the other ten elements of the set is closest to which integer.

A ratio in mathematics describes how many times one number is contained in another. For instance, the ratio of oranges to lemons in a dish of fruit is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). Similarly, the ratio of oranges to the total amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8 (or 3:4). (or 4:7).

The quantities in a ratio can be of any kind, such as counts of people or things, measures of lengths, weights, or times, etc. Both numbers must be positive in the majority of situations.

Explanation:

The requested ratio is\(\[\dfrac{10^{10}}{10^9 + 10^8 + \ldots + 10 + 1}.\]\)

Using the formula for a geometric series, we have\(\[10^9 + 10^8 + \ldots + 10 + 1 = \dfrac{10^{10} - 1}{10 - 1} = \dfrac{10^{10} - 1}{9},\]\)

which is very close to \($\dfrac{10^{10}}{9},$\) so the ratio is very close to 9.

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Markov chain model with periodic classes of states can be exemplified by a weather model and ergodic system in a Markov chain is the game of Monopoly.

Example of Markov chain with periodic classes of states:

One example of a Markov chain model with periodic classes of states is a weather model that includes seasonal variations. Let's consider a simplified model with three states: sunny, cloudy, and rainy. In this model, the weather is observed over a long period of time, and it is known that the weather tends to follow a cyclic pattern, transitioning from one season to another. The stochastic matrix representing this Markov chain will have non-zero probabilities for transitions between states within the same season (e.g., sunny to sunny, cloudy to cloudy, rainy to rainy), but zero probabilities for transitions between states in different seasons (e.g., sunny to rainy, rainy to cloudy). This creates periodic classes or groups of states that correspond to the different seasons, resulting in a Markov chain with periodic behavior.

Example of ergodic system in a Markov chain:

A common example of an ergodic system in a Markov chain is the game of Monopoly. In Monopoly, players move around the board based on the outcome of rolling dice. The states in this Markov chain correspond to the positions on the board. Each roll of the dice determines the transition probabilities from one state (position) to another. In an ergodic system, it means that it is possible to reach any state from any other state in a finite number of steps. In the context of Monopoly, this means that players can move from any position on the board to any other position by rolling the dice and following the game rules. The stochastic matrix for this Markov chain will have non-zero probabilities for transitions between all states, reflecting the possibility of moving to any position on the board from any other position.

In summary, a Markov chain model with periodic classes of states can be exemplified by a weather model that represents the cyclic nature of seasons, while an example of an ergodic system in a Markov chain is the game of Monopoly, where players can reach any position on the board from any other position through successive dice rolls and gameplay.

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Answer: newtons

Step-by-step explanation:

Answer:

I believe it is Newtons :)

Step-by-step explanation:

The plan with the smallest one-time membership fee is Plan D.

The point-slope formula will be used to determine the equation that models the cost of each plans.

(y - y₁) = [(y₂ - y₁)/(x₂ - x₁)](x - x₁)

where (x₁, y₁) is the coordinates of point 1

(x₂, y₂) is the coordinates of point 2.

For the equation y = mx + b,

let x = number of discs rented

y = total cost

m = rental rate per disc

b = one-time membership fee

Plan A

(y - 14) = [(17 - 14)/(2 - 1)](x - 1)

y - 14 = 3x - 3

y = 3x + 11

Plan B

(y - 12) = [(16 - 12)/(2 - 1)](x - 1)

y - 12 = 4x - 4

y = 4x + 8

Plan C

(y - 10) = [(15 - 10)/(2 - 1)](x - 1)

y - 10 = 5x - 5

y = 5x + 5

Plan D

(y - 12) = [(21 - 12)/(2 - 1)](x - 1)

y - 12 = 9x - 9

y = 9x + 3

Hence, the plan with the smallest one-time membership fee, b, is Plan D.

Your question is incomplete, but most probably you are asking

"...Which plan has the smallest one-time membership fee?"

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Answer:

False

Step-by-step explanation:

The two factors must be negative to result in the negative sum of -35 when added.

Answer:

123456

Step-by-step explanation:

The transformation we need to use to map one congruent footprint to another congruent footprint is a combination of reflection and translation so the correct answer is (C) reflection and translation.

To map one congruent footprint to another congruent footprint, we need to use a combination of transformations that preserve shape and size. The only transformations that do this are translations, rotations, and reflections.

Since the footprints are the same shape and size, we can rule out dilation as a possible transformation.

Additionally, the footprints are not in the same position, so we can rule out translation as the only transformation.

Therefore, the transformation we need to use to map one congruent footprint to another congruent footprint is a combination of reflection and translation. This means that the correct answer is (C) reflection and translation.

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Answer:

3240 degrees? I guess. I'm sorry if its the wrong answer.

Answer: 170

Step-by-step explanation:

Let L be the sum of the degree measures of the 10 larger interior angles, and S be the sum of the degree measures of the 10 smaller interior angles. The angles in a convex 20-sided polygon add up to 180(20-2)=3240 degrees, which tells us that L+S=3240. The problem also tells us that L-S=160. Adding both equations together, we get $2L=3400, and by dividing by 2, we get L=1700. Therefore, the sum of the 10 larger interior angles is 1700 degrees, and the average measure of these angles is 1700/10

=170

Answer:

6

Step-by-step explanation:

3 is the bottom the height is 4 because if you go to the top and count it 4 the 3x4 / 2= 6

The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

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Ted can clear a football field in 3 hours, while Jacob can clear it in 2 hours. When they work together, the time it takes to clear the field can be determined by solving the equation 1/3 + 1/2 = 1/t.

Let's consider the equation 1/3 + 1/2 = 1/t, where t represents the number of hours it would take Ted and Jacob to clear the field together. To solve for t, we need to find a common denominator for the fractions on the left-hand side. The least common multiple (LCM) of 3 and 2 is 6.

By multiplying the first fraction by 2/2 and the second fraction by 3/3, we can rewrite the equation as (2/6) + (3/6) = 1/t. This simplifies to 5/6 = 1/t.

To isolate t, we can take the reciprocal of both sides, giving us t/1 = 6/5. Cross-multiplying, we find t = 6/5 = 1.2.

Therefore, it will take Ted and Jacob 1.2 hours (or 1 hour and 12 minutes) to clear the football field together.

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The annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.

In 2019, a coin was sold at auction for $4,120,500. The coin had a face value of $20 when it was first issued in 1786. The coin had been previously sold for $395,000 in 1968. At what price did the coin appreciate annually from 1968 to 2019? Solution:We can start this problem by using the compound interest formula which is given as follows;A = P (1+r/n)^(nt)Where:A is the future value of the investment;P is the principal investment;r is the annual interest rate;n is the number of times that interest is compounded per year;t is the number of years the money is invested.To solve the problem we will consider the following;We will use the initial price of the coin which was sold in 1968 which is $395,000 as the principal investment, PWe will use the price of the coin sold at auction in 2019 which is $4,120,500 as the future value of the investment, AWe will use the number of years between 1968 and 2019 which is 51 years as t.The interest rate is not given, but we can solve for it by substituting the known values into the formula as shown below;A = P (1+r/n)^(nt)=> 4,120,500 = 395,000 (1+r/1)^(1 x 51)=> (1+r) = (4,120,500/395,000)^(1/51)=> (1+r) = 1.067=> r = 1.067 - 1=> r = 0.067 = 6.7%Therefore the annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.



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For the linear function, a) is true.

b) true, c) true, d) false, e) true.

a) True: Since expected value is a linear function, then the sum of the expected values of two independent random variables x and y is equal to the expected value of their sum (x + y). Thus, E(x + y) = E(x) + E(y). For example, if E(x) = μ and E(y) = μ, then E(x + y) = μ + μ = 2μ. But, E(2x) = 2E(x) = 2μ. Therefore, x + y has the same expected value as 2x. So, the statement is true.

b) True: We know that Var(2x) = 4Var(x) and Var(x + y) = Var(x) + Var(y) because x and y are independent random variables. Since x and y both have variance σ², then Var(x + y) = σ² + σ² = 2σ². Therefore, x + y has the same variance as 2x, that is, 2σ². So, the statement is true.

c) True: E(-X) = -E(X) = -μ. Since x and y have the same expected value μ, then -x and -y have the same expected value -μ. Thus, the statement is true.

d) False: The variance of X - y is σ² + σ² = 2σ² and not 0. Thus, the statement is false.

e) True: We know that the variance of (x + y) / 2 is Var((x + y) / 2) = [Var(x) + Var(y)] / 4 because x and y are independent random variables. Therefore, SD[(x + y) / 2] = √[Var((x + y) / 2)] = √[Var(x) + Var(y)] / 2 = √2σ² / 2 = σ / √2. Thus, the statement is true.

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The ordered pairs of the inequality expression is (0, 4)

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

The inequality expression  y>1/2x+3

To determine the ordered pairs of the inequality expression, we set x - 0 and then calculate the value of y

Using the above as a guide, we have the following:

y > 1/2 * 0 + 3

Evauate

y > 3

This means that the value of y is greater than 3 say y = 4

So, we have (0, 4)

Hence, the ordered pairs of the inequality expression is (0, 4)

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Answer:

450

Step-by-step explanation:

base times height is the formula so 75x12

Answer:

The coordinates of point P along the segment AB is (-1, 6).

Step-by-step explanation:

It is known that ratio of AP to PB is:

\(\frac{AP}{PB} = \frac{2}{3}\)

Or vectorially speaking:

\(\overrightarrow{AP} = \frac{2}{3}\overrightarrow{PB}\)

The vector that represents the segment AB is:

\(\overrightarrow{AB} = \vec B -\vec A\)

If \(\vec A = (-7,4)\) and \(\vec B = (8,9)\), then:

\(\overrightarrow{AB} = (8,9)-(-7,4)\)

\(\overrightarrow {AB} = (8+7,9-4)\)

\(\overrightarrow{AB} = (15,5)\)

But \(\overrightarrow{AB} = \overrightarrow{AP} + \overrightarrow{PB}\), then:

\(\overrightarrow{AB} = \frac{2}{3}\overrightarrow{PB} +\overrightarrow{PB}\)

\(\overrightarrow{AB} = \frac{5}{3}\overrightarrow{PB}\)

\(\overrightarrow{PB} = \frac{3}{5}\overrightarrow{AB}\)

\(\overrightarrow{PB} = \frac{3}{5}(15,5)\)

\(\overrightarrow{PB} = \left(9, 3\right)\)

The location of \(\vec P\) is derived of this formula:

\(\overrightarrow{PB} = \vec B - \vec P\)

\(\vec P = \vec B - \overrightarrow{PB}\)

If \(\vec B = (8,9)\) and \(\overrightarrow{PB} = \left(9, 3\right)\), then:

\(\vec P = (8,9) - (9,3)\)

\(\vec P = (8-9,9-3)\)

\(\vec P = (-1, 6)\)

The coordinates of point P along the segment AB is (-1, 6).

Answer:

The correct answer is B. m = 1.1

Step-by-step explanation:

Every time x is increases by 1, y increases by 1.1.

Answer:

m = 1.1

Step-by-step explanation:

The function equation is y = 1.1x because every increase in x produces an additional output of 1.1, therefore the slope equals 1.1.

Answer:

138.2degrees

Step-by-step explanation:

178.2 - 40 = 138.2

Answer:

5600

Step-by-step explanation: