Two lines that have the same y intercept and different slopes intersect at exactly one point.

True

False

The probability that a student picked at random would pick a room filled with cupcakes or computers using probability concept is 0.26.

Probability is the ratio of required outcome to the total possible outcomes.

Mathematically,

Probability = Required outcome / Total possible outcomes

Room filled with computers or cupcakes = Number of rooms filled with computers + Number of rooms filled with cupcakes = 12 + 3 = 15

Total number of rooms = 12+3+12+3+29 = 59

P(computers or cupcakes) = 15/59 = 0.259

Therefore, the probability that a student picked at random would pick a room filled with cupcakes or computers is 0.26.

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a. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores. b. The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

(a) To find the probability that the sample mean will be within ±5 of the population mean, we can use the Central Limit Theorem (CLT) and the properties of a normal distribution.

The sample mean, is an unbiased estimator of the population mean, μ. According to the CLT, the distribution of sample means approaches a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

     = 200 / √400

     = 200 / 20

     = 10

To find the probability that the sample mean will be within ±5 of the population mean, we can standardize the interval using the z-score:

For the lower bound (-5), the z-score is (-5 - 0) / 10 = -0.5.

For the upper bound (+5), the z-score is (5 - 0) / 10 = 0.5.

We can now use a standard normal distribution table or technology (such as a calculator or statistical software) to find the probability associated with the z-scores -0.5 and 0.5. The probability that the sample mean will be within ±5 of the population mean is the area under the normal curve between these two z-scores.

(b) To find the probability that the sample mean will be within ±10 of the population mean, we follow the same steps as in part (a).

The lower bound z-score is (-10 - 0) / 10 = -1, and the upper bound z-score is (10 - 0) / 10 = 1. We can use the same normal distribution table or technology to find the probability associated with these z-scores.

Note: Since the question mentions rounding answers to four decimal places, please use the appropriate table or technology to obtain the precise probabilities for parts (a) and (b).

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nào là hai doin dhn

??

Answer:

b = -23/5

Explanation:

Given the equation

Subtract 8/5 from both sides

Answer:

420 trees

Step-by-step explanation:

6 volunteers × 70 trees planted by each = 420 trees planted in total.

As we consider that  \(x^2\) ≡ n (mod 65) has a solution. By getting \(x^2\) + n ≡ 0 (mod 65) we prove that  \(x^2\) ≡ -n (mod 65).

Assuming that \(x^2\) ≡ n (mod 65) has a solution, it means that n is a quadratic residue modulo 65.

In other words, if y is an integer, then it exists \(y^2\) ≡ n (mod 65). We can write \(y^2\) = n + 65k for some integer k.

Now, we want to show that \(x^2\) ≡ -n (mod 65) also has a solution.

by substituting \(y^2\) - 65k for n in \(x^2\) ≡ n (mod 65), we get:

=> \(x^2\) ≡ \(y^2\) - 65k (mod 65)

Rearranging this equation, we get:

=> \(x^2\) + 65k ≡ \(y^2\) (mod 65)

As \(y^2\) ≡ n (mod 65), we can substitute n for \(y^2\) to get:

=> \(x^2\) + 65k ≡ n (mod 65)

multiplying by -1 on both sides, we get:

=> \(x^2\) - 65k ≡ -n (mod 65)

By adding n on both sides,

=> \(x^2\) - 65k + n ≡ 0 (mod 65)

By adding 65k to both sides,

=> \(x^2\) + n + 65k ≡ 65k (mod 65)

By simplifying the left-hand side,

=> \(x^2\) + n ≡ 0 (mod 65)

Which is equivalent to:

=> \(x^2\) ≡ -n (mod 65)

So, if \(x^2\) ≡ n (mod 65) has a solution, then so, \(x^2\) ≡ -n (mod 65).

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The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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Answer: Stratified Random Sampling

Step-by-step explanation: Got it right

Answer:

stratified random sampling

Step-by-step explanation:

correct on edge

She will plot a graph using the given points and trace the point y = 11 to the x-axis.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as   -22- 20 18 16 14 12 10- 8 6 0 6 8 .

Then plot a graph of the line y =5x + 2  with y on the vertical  and x on the horizontal.

After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.

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Answer:

i don't know why (ii) question is asked because the answers is in the question..

Step-by-step explanation:

i hope this is helpful...

if it is then pls mark my answer as brainliest

1. We should understand that question is missing, but, the amount 1 that Mia has to pay back if she takes the loan will be Loan amount plus the interest on it.

2. The banks 2 and other financial institutions did offer cash loans to people that did not apply for it because they knew that had favorable credit worthiness, that is, they repay loan as at when due.

Creditworthiness is how a lender determines whether you will default on your debt obligations or whether you are creditworthy. Creditors consider your creditworthiness before approving new credit for you.

Several factors influence it, including your repayment history and credit score. When determining the likelihood of default, some lending institutions consider available assets as well as the number of liabilities you have.

The credit report shows how much debt you have, as well as the high balances, credit limits, and the current balance of each account. It will also flag any relevant information for the potential lender, such as past due amounts, defaults, bankruptcies, and collection items.

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Hey there!

Do PEMDAS to solve.

PEMDAS simply means.

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract

Some people use this method to make PEMDAS easier to understand

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

4 + 4(5 + 2^2)

= 4 + 4(5 + 2 * 2)

= 4 + 4(5 + 4)

= 4 + 4(9)

= 4 + 36

= 40

Therefore, the answer should be: 40

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Probability of both = 6/8 * 2/8 = 12/64 which reduces to 3/16.

acc  to our question-

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The number of the blue cubes is 35 and the number of the red cubes is 20.

The ratio is defined as the representation of the one number with respect to the other number. or one number is how many times the other number.

Given that:-

The number of the blue cubes are calculated as:-

The two equations will be formed by the given data in the question.

\(\dfrac{r}{b}=\dfrac{4}{7}\)

7r = 4b

\(\dfrac{r+10}{b}=\dfrac{6}{7}\)

7r + 70 = 6b

Solving the above equation we will get the value of b.

4b + 70 = 6b

6b - 4b = 70

2b = 70

b = 35

7r = 4b

7r = 4 x 35

r = 20

Therefore the number of the blue cubes is 35 and the number of the red cubes is 20.

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Answer:

E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

The horse has a probability of 1/20 of coming in first place,

a probability of 1/10 of coming in second place,

and a probability of 1/3 of coming in third place.

Given that the first place pays $4800 to the winner,

second place $3200,

and third place $1500.

we need to find whether it is worth entering the race if it costs $1000.

Let E be the net profit in the race,

which is calculated as the difference between the total earnings and the cost of entering the race,

i.e., E = Total earnings - Cost of entering the race

Given, The probability of the horse coming in first place = 1/20

The probability of the horse coming in second place = 1/10

The probability of the horse coming in third place = 1/3

Now,

Let us calculate the expected value of the earnings, E(X).

E(X) = (1/20) x 4800 + (1/10) x 3200 + (1/3) x 1500

      = 240 + 320 + 500

      = $1060

Therefore, E(X) = $1060.

This shows that the expected value of earnings is greater than the cost of entering the race.

Hence, it is worthwhile to enter the race if it costs $1000.

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Answer:

ms.andrey used mode

mr.luna used median

Step-by-step explanation:

Answer:

I don't see the problem here

in other news, FLUFFY COW:

Answer:

9.44 x 10^4 in scientific notation

Step-by-step explanation:

Answer: 9.43x 10^4

Step-by-step explanation:

Answer:

Data set A best fit by the regression line.

Answer:

Data Set C.

Step-by-step explanation:

Well just even by common sense, the line for "data set A" is not good for the points on the graph

Answer:

5.97 ● 10^24 in standard form is: 5.97⋅10^24

Step-by-step explanation:

Based on the fact that this is an equilateral triangle, the value of y can be found to be 5.

The figure given is an equilateral triangle which means that the lengths of all the sides are equal.

As DC is equal to 20, it means that all the other sides should be 20 as well.

This means that the value of y is:

20 = 15 + y

y = 20 - 15

y = 5

In conclusion, y is 5.

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Answer:

10

Step-by-step explanation:

because each pizza is 11.99 and you can get three toppings, so 30 divided by 3 is 10, so you can get three different pizza.

Answer:

I think 10 pizzas.

Step-by-step explanation:

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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The probability is 6.

Probability is the possibility of an event occurring. We can scale the probability of an event between 0 and 1. 0 refers to an improbable event, and one refers to an event with the highest possibility. The type of probability we will use to solve this problem is the geometric distribution.

The geometric distribution is defined as a discrete probability distribution representing the probability of consecutive failures before success in a Bernoulli trial. There could be only two possible outcomes; either True (1) or False (0).

Bernoulli's trial is an experiment in which we have only two possible outcomes, success or failure. In other words, the geometric distribution repeats Bernoulli trials until it succeeds, then stops. So, achieving success is the ultimate goal and is the point that stops Bernoulli's trials from happening further.

Geometric distribution, the class of probability distributions, is based on three key assumptions, and these assumptions are defined as:

Now for our given problem, we stand on a street corner and record the gender of the first twelve people who pass by. The condition here is the city is half male and half female. Now to find the probability, we will consider the possibility of each of the twelve events. Since half of the population is Female, the probability of one single event is;

p = 1/2 (50 %)

The overall probability is the sum of all the individual probabilities:

P ( ALL FEMALE)

= 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2 + 1 / 2

= 6

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The expression that represents the amount of canned food collected so far by the three friends is \($4x^2 + 2xy - 3$\) and the expression that represents the number of cans the friends still need to collect to meet their goal is \(7x^2 + 9$.\)

What is an expression?

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions, which when arranged in a meaningful way, represents a mathematical relationship or a quantity.

Part A:

To find the amount of canned food collected so far by the three friends, we need to add up the number of cans collected by each friend. So, we can write:

Amount collected \($= \text{Jessa's collection} + \text{Tyree's collection} + \text{Ben's collection}$\)

Substituting the given expressions, we get:

Amount collected \($= (2xy + 4) + x^2 + (3x^2 - 7)$\)

Simplifying the expression, we get:

Amount collected \($= 4x^2 + 2xy - 3$\)

Therefore, the expression that represents the amount of canned food collected so far by the three friends is \($4x^2 + 2xy - 3$\).

Part B:

To find the number of cans the friends still need to collect to meet their goal, we need to subtract the amount collected by the three friends from the goal expression. So, we can write:

Number of cans needed \($= \text{Goal} - \text{Amount collected}$\)

Substituting the given expressions, we get:

Number of cans needed \($= (11x^2 - 2xy + 6) - (4x^2 + 2xy - 3)$\)

Simplifying the expression, we get:

Number of cans needed \($= 7x^2 + 9$\)

Therefore, the expression that represents the number of cans the friends still need to collect to meet their goal is \(7x^2 + 9$.\)

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Answer:

120%

Number × 100 = Percentage

1.20 × 100 = 120%

The mixed number 1 1/20 can be expressed as 105 percent. You can find this value by dividing the numerator by the denominator, summing this value to the integer part and multiplying the result by 100%, so: 1 1/20 in percent = (1 + 1/20) × 100% = 105

Thus, the answer is 105

Step-by-step explanation:

b.) 8/7≈ 1.1

Final.) and then using the exponential decay formula, 18.1 will be left after

The value of the given integral after the calculation is 54π/5.

here,

we consider the given data and try to simplify the integral

The integral is ∭Ey2 dV that is over the solid hemisphere x2+y2+z2≤9, y≥0x2+y2+z2≤9, y≥0.

The evaluation of the given integral can be possible using spherical coordinates. Furthermore, the solid hemisphere can also be described as 0≤θ≤π/2 and 0≤Ф≤2π.

therefore,

spherical coordinates are Ey² = (ρsinΦ)²= ρ²sin²φ

now, the Jacobian for the given spherical coordinate is r²sinθ

now,

∭Ey2 dV =∭ρ²sin³φr²sinθdρdθdφ

=∫\(0^{(\pi /2)}\) ∫\(0^{(\pi /2)}\) ∫\(0^{3}\)ρ⁴sin³φ sinθdρdθdφ

=(3⁵/5) x (1/2) x (2/3)

=54π/5

The value of the given integral after the calculation is 54π/5.

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