Edgar has $30 in an account that earns 5% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?

If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

When testing for the differences between the means that exist between two independent populations that has the variances in all of their population which is still unknown but said to be equal, the degrees of freedom will be:

n1 + n2 - 1.

Therefore, If you test for the difference between the means of two independent samples, there is  n1 + n2 - 1 degrees of freedom.

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Step-by-step explanation:

volume = length ×width ×height

volume = (8/3) inches × (1/2) Inches × (5/6) inches

volume =(8/6) cubic inches ×(1/2) inches

volume = 4/3 cubic inches

Answer:

10/9 in³

Step-by-step explanation:

2 2/3 = (2 X 3 + 2) / 3 = 8/3.

Volume of prism = area of cross-section X length

= (8/3) X (1/2) X (5/6)

= (8 X 1 X 5)/ (3 X 2 X 6)

= 40/36

= 10/9 in³

Answer:

6a + 6b

Step-by-step explanation:

Its simplified

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

The total number of samples in the sample space is 15,504.

The total number of samples in the sample space can be calculated by using the formula for combinations, which is the number of ways to select r items from n distinct objects. The formula is written as nCr and is calculated as n!/(r!(n-r)!). In this case, n is equal to 60, and r is equal to 4.

To calculate the total number of samples in the sample space, we will first calculate n!, which is 60! = 60*59*58*57*...*2*1. Then, we will calculate r! which is 4!, which is 4*3*2*1. Finally, we will calculate (n-r)!, which is (60-4)!, which is \(56! = 56*55*54*53*...*2*1.\)

Using the formula, the total number of samples in the sample space is calculated as 60!/(4!(60-4)!) = 60!/(4!*56!) = 15,504. Therefore, the total number of samples in the sample space is 15,504.

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Answer:

They have equal slopes.

Step-by-step explanation:

Parallel lines have the same slope and will never intersect. Parallel lines continue, literally, forever without touching.

The given trigonometric identity, sinθ tanθ = secθ - cosθ, is not true.

To verify the given identity, we will simplify the left-hand side (LHS) and the right-hand side (RHS) of the equation and check if they are equal.

LHS: sinθ tanθ

Using the definition of tanθ as sinθ/cosθ, we can rewrite the LHS as sinθ * (sinθ/cosθ). Simplifying further, we get sin²θ/cosθ.

RHS: secθ - cosθ

Using the definition of secθ as 1/cosθ, we can rewrite the RHS as 1/cosθ - cosθ. To combine the fractions, we need a common denominator, which is cosθ. So the RHS becomes (1 - cos²θ)/cosθ.

Now, let's compare the LHS and RHS:

sin²θ/cosθ vs (1 - cos²θ)/cosθ

To check if they are equal, we can simplify both sides separately and see if they yield the same result. However, after simplification, we find that the LHS and RHS are not equal.

Therefore, we can conclude that the given trigonometric identity sinθ tanθ = secθ - cosθ is not true.

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The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases.

The fundamental 6 functions of trigonometry have a range of numbers as their result and a domain input value that is the angle of a right triangle.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

a)

The given condition makes a right-angle triangle as shown below,

The tan function,

tanθ = 6/25

θ = 14.50°

b)

When a player is 5 feet closer means (20 feet far)

tanθ = 6/20

θ = 16.70°

c)

As the player gets closer the angle becomes more and more.

Hence "The maximum angle when a player is 25 feet far is 14.50° while when 5 feet closer it will be 16.70° and as a player gets closer angle increases".

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The probability that the sample mean exceeds 135.4 millimeters is approximately 0.1446.  

You can use the central limit theorem to approximate the sample distribution of the sample mean.

The mean of the sample distribution is a rise to the population mean (135 mm)

 the standard deviation of the test distribution is a rise to the population standard deviation isolated by the square root of the test measure, which is \(5/√42\) ≈ 0.7689 mm.

To find the probability that the sample mean is greater than 135.4 millimeters, use the sample distribution to standardize the sample mean and use the standard normal distribution. That is,

\(z = (x - μ) / (σ / √n) = (135.4 - 135) / (5 / √42) ≒ 1.0607\)

where x = sample mean, μ = population mean, σ =population standard deviation, n=sample size, and z =standard value.

The probability that the sample mean exceeds 135.4 millimeters can be found by using a standard normal distribution table or calculator,

to find the area to the right of the Z value of 1.0607. This range is approximately 0.1446 or 14.46%.

Therefore, the probability that the sample mean exceeds 135.4 millimeters is approximately 0.1446.

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Answer: 140,000

............................

Answer:

a. 2.5 miles an hour

b. yes, she will get there before 11 am since she could walk 5 miles in 2 hours if she wanted.

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

solution

total balls: 100

red balls:70

blue balls: 30

balls picked:5

Now,

probability of all picked balls being red: 70

Answer: 70



Step-by-step explanation:

The probability of picking a red ball on a single draw is 70/100 = 0.7 since there are 70 red balls out of 100 total balls.

With replacement means that after each draw, the ball is placed back into the pool, so the total number of balls remains the same.

Therefore, the probability of picking all five red balls can be calculated as follows:

P(5 red balls) = (0.7)^5 = 0.16807

So the probability of picking all five red balls with replacement is approximately 0.16807 or 16.807%.

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Answer: 480√3

Step-by-step explanation:

√12 * √6 * √2 =√144

4√3 * 10√144

we know √144 =12

4√3 * 10  * 12

--> 480√3

Answer:eht sistep 2 and step 4 is the correct answer

Step-by-step explanation:

Answer:

This statement is false. In the expression 11 + 3n, the coefficient is 3.

Step-by-step explanation:

Given

Expression: 11 + 3n

Required

Is 11 the coefficient?

In the given expression, there are two expression;

11 and 3n

Explaining 11

11 is just a constant as it doesn't have any variable attached to it

Explaining 3n

This can be expressed as 3 * n

As such;

\(3\) is the coefficient and \(n\) is the variable

Hence;

Option A answers the question

Answer:

c

Step-by-step explanation:

because all of the lines except for the last one is the same. so its aaaab

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

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a. The equation in slope-intercept form is y = -2x + 2.

b. A table for the equation is shown below.

c. A graph of the points with a line for the inequality is shown below.

d. The solution area for the inequality has been shaded.

e. Yes, the test point (0, 0) satisfy the conditions of the original inequality.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Part a.

In this exercise, we would change each of the inequality to an equation in slope-intercept form by replacing the inequality symbols with an equal sign as follows;

2x + y ≤ 2

y = -2x + 2

Part b.

Next, we would complete the table for each equation based on the given x-values as follows;

x       -1        0        1

y        4        2       0

Part c.

In this scenario, we would use an online graphing tool to plot the inequality as shown in the graph attached below.

Part d.

The solution area for this inequality y ≤ -2x + 2 has been shaded and a possible solution is (-1, 1).

Part e.

In conclusion, we would use the test point (0, 0) to evaluate the original inequality.

2x + y ≤ 2

2(0) + 0 ≤ 2

0 ≤ 2 (True).

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Answer:

I believe 6/7 times 3/4 in the simplest form is 9/14 because you aren't able to put anything in both of those numbers

Step-by-step explanation:

The value of x in the equation (6/7) × (3/4) = x is 9/14.

To find the value of x in the equation (6/7) × (3/4) = x.

We can simply multiply the two fractions together.

Multiplying the numerators and denominators gives us:

(6 × 3) / (7 × 4)

= 18/28

The fraction 18/28 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2.

(18/2) / (28/2)

= 9/14

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If the Jenn's car pool ride is late on 6 days out of 20 days , then the estimated probability that her ride will be late tomorrow is 0.3    .

The number of days the car pool ride is late out of past 20 days is = 6 days .

the estimated probability the the car will be late tomorrow can be calculated by using the formula ,

estimated probability = ( number of days ride is late)/( total number of days)

substituting the values ,

we get ,

probability = 6/20

= 0.3  .

Therefore , the estimated probability that her ride will be late tomorrow is      0.3   .

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Answer: Translate K to N and rotate about K until HK lies on the line containing LN.

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

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

-1/4x - 1/2 + 5 = -x

-1/4x + 9/2 = -x

-1/4x + x + 9/2 - 9/2 = -x + x - 9/2

3x/4 = - 9/2

(3x/4) * 4 = (-9/2) * 4

3x = - 18

3x/3 = - 18/3

x = -6

Answer:

30 kills per game

Step-by-step explanation:

The equation is

180/6 = 30

So 30 kills per game

180 kills in 6 games

180 kills= 6 games

180/6= 30

So 30 kills per game

Nice question lol

a. Probability Mass Function: A probability mass function (pmf) is a function that is used to describe the probabilities of all possible discrete values in a probability distribution. Let X and Y be the initially diagnosed patient's score and after three months of treatment respectively.

The probability mass function of X is: f(x) = P(X = x), where x = 1, 2, 3, 4.From the given data, we can see that:P(X = 1) = 0.08 + 0.06 + 0.04 + 0.02 = 0.20P(X = 2) = 0.06 + 0.12 + 0.08 + 0.04 = 0.30P(X = 3) = 0.03 + 0.09 + 0.12 + 0.06 = 0.30P(X = 4) = 0.01 + 0.03 + 0.07 + 0.09 = 0.20Therefore, the probability mass function of X is:f(1) = 0.2, f(2) = 0.3, f(3) = 0.3, f(4) = 0.2Similarly, we can find the probability mass function of Y, which is: f(y) = P(Y = y), where y = 1, 2, 3, 4.From the given data, we can see that:P(Y = 1) = 0.08 + 0.06 + 0.03 + 0.01 = 0.18P(Y = 2) = 0.06 + 0.12 + 0.09 + 0.03 = 0.30P(Y = 3) = 0.04 + 0.08 + 0.12 + 0.07 = 0.31P(Y = 4) = 0.02 + 0.04 + 0.06 + 0.09 = 0.21Therefore, the probability mass function of Y is:f(1) = 0.18, f(2) = 0.3, f(3) = 0.31, f(4) = 0.21b.

Expected Value: The expected value is a measure of the central tendency of a random variable. It is the mean value that would be obtained if we repeated an experiment many times. The expected value of X is:E(X) = ∑xiP(X = xi) = 1(0.2) + 2(0.3) + 3(0.3) + 4(0.2) = 2.3The expected value of Y is:E(Y) = ∑yiP(Y = yi) = 1(0.18) + 2(0.3) + 3(0.31) + 4(0.21) = 2.33c. Variance: The variance is a measure of the spread of a random variable. It gives us an idea of how much the values in a distribution vary from the expected value.

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Answer: 5

Step-by-step explanation:

80 / 16 =5

L x W = A

so, we have to work backwards

80 / 16 = 5

hope this helps

plzz mark brainliest

Answer:

I am so glad you were able to do it! Congrats on 100%

Step-by-step explanation:

That's great you got 100%!!!

For the following 2D system, (a) fixed points are (0, 0) and (1, 0), (b) Linearize the system x' = y + x and y' = -y, (c) The eigenvalues of each fixed points are -1/2 and -1/2, (d) Sketching the phase portrait requires analyzing the behavior of trajectories near the fixed points.

(a) The fixed points of the given 2D system, x = y + x - x³ and y = -y, can be found by setting both equations equal to zero.

For y = -y,

we have y = 0.

Substituting y = 0 into the first equation, we get

x = x - x³.

This simplifies to x(1 - x²) = 0, which gives us two fixed points: (0, 0) and (1, 0).

(b) To linearize the system, we take the partial derivatives of the equations with respect to x and y. The linearized system is given by x' = y + x and y' = -y.

(c) To classify the eigenvalues of each fixed point, we compute the Jacobian matrix of the linearized system. Evaluating the Jacobian matrix at each fixed point, we find that for the fixed point (0, 0), the eigenvalues are 1 and -1.

For the fixed point (1, 0), the eigenvalues are -1/2 and -1/2.

(d) At the fixed point (0, 0), the trajectories move away from the origin along the y-axis. At the fixed point (1, 0), the trajectories spiral inwards towards the fixed point. By plotting these behaviors on a graph, we can sketch the phase portrait of the system.

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Complete Question:

For the following 2D system, a) find fixed points, b) linearize the system, c) classify eigenvalues of each fixed points and d) sketch phase-portrait.

\(\left \{ {{x = y + x - x^3} \atop {\!\!\!\!\!\!\!\!\!\!\!\! y = -y}} \right.\)

Answer:

\(y=-2+6x\)

Step-by-step explanation:

\(-3y-6x= -18\)

\((-3y-6x)= -18+6x\)

\(-3y-6x+6x=6x -18\)

\(y=-2+6x\)