If n=21, ¯x (x-bar)=39, and s=8, find the margin of error at a 90% confidence levelGive your answer to two decimal places.

Answer:

Step-by-step explanation:

208

Calculation:

The professional baseball team won = 84 games,

According to the data.

Assume that the team lost x games.

The team "won 14 more games than it lost," the problem states.

The term "x+14" could be used to indicate 14 more than x.

Consequently, we can establish an equation.

⇒ x+14 =84.

14 is subtracted from both sides, giving us

⇒ x+14-14 = 84 -14

x = 70.

⇒ 70 games were lost by the team.

The total number of games played = Number of games won + Number of games lost.

= 84 +70 = 154 games.

⇒ Hence the professional basketball teams play a total of 154 games and lost 70 games.

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

If the drag force due to air resistance is 11 N acting backwards against Shaun. Shaun's acceleration is 4.64 m/s^2 down the slope.

To find Shaun's acceleration, we need to calculate the net force acting on him and his skateboard. The net force is the vector sum of all the forces acting on the object. We can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and its acceleration:

Net force = mass × acceleration

Let's break down the forces acting on Shaun and his skateboard:

The force of gravity, which acts vertically downwards with a magnitude of mg, where m is the total mass of Shaun and his skateboard and g is the acceleration due to gravity (9.8 m/s^2).

F₁ = m * g * sin(30°) = 75 kg * 9.8 m/s^2 * sin(30°) = 367.5 N

The force due to rolling friction between the skateboard wheels and the concrete, which acts backward against the skateboard.

F₂ = 9 N (given)

The drag force due to air resistance, which acts backward against Shaun.

F₃ = 11 N (given)

Now, let's add up the forces to get the net force:

Net force = F₁ - F₂ - F₃

= 367.5 N - 9 N - 11 N

= 347.5 N

Using Newton's second law of motion, we can now calculate Shaun's acceleration:

acceleration = Net force / mass

= 347.5 N / 75 kg

= 4.64 m/s^2 (down the slope)

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Answer A 7.6 earthquake is more than 2x more powerful than a 3.2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

each input has it’s own output value

Answer:

k = 5.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

\(y = mx + b\)

In which m is the slope, and b is the y-intercept(y when x = 0).

Perpendicular lines

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line y=x−285.

This line has slope 1, so the line we want to find the equation has slope \(m = -1\)

Then

\(y = -x + b\)

Passes through (7, 0)

This means that when \(x = 7, y = 0\). So

\(y = -x + b\)

\(0 = -7 + b\)

\(b = 7\)

So

\(y = -x + 7\)

Find the value of k given that the line through (k, 2)

This means that when \(x = k, y = 2\). So

\(y = -x + 7\)

\(2 = -k + 7\)

\(k = 7 - 2 = 5\)

The value of k is k = 5.

Answer:

201.6

i think

Answer: I am pretty sure its A

Step-by-step explanation:

Answer:

The answer is D. y=-2x+8

Step-by-step explanation:

Hope this helps!!

Yes, all of the conditions for inference have been met to carry out a t-test for a difference in means.

Three main conditions need to be satisfied: the random condition, the 10% condition, and the Normal/large sample condition.

The random condition is met because the real-estate agent randomly assigned the homes to be staged or empty. This ensures that the sample is representative of the population of comparable homes.

The 10% condition is met because the agent selected 10 comparable homes, and the sample of 5 staged and 5 empty homes represents less than 10% of the population of comparable homes.

The Normal/large sample condition is met because the dot plot of each sample shows no strong skewness and no outliers. Additionally, with a sample size of 5 for each group, the t-test can still be valid even if the population distributions are not exactly normal.

Therefore, all the conditions for inference have been met, allowing the real-estate agent to carry out a t-test for a difference in means and test the hypothesis regarding the selling prices of staged and empty homes.

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The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48

Using both the trapezoid rule and Simpson's rule with n = 6 to approximate the arc length of the curve y = e^x^2 for x from 0 to 1,

Trapezoid rule: L ≈ 18.954

Simpson's rule: L ≈ 18.947

To use the trapezoid rule to approximate the arc length of the curve y = e^x^2 for x from 0 to 1, we first need to compute the values of y at the endpoints and the midpoint of each subinterval:

x                            y

0                         1

0.2                      1.221

0.4                      1.648

0.6                      2.718

0.8                      5.522

1                         15.155

Then we can use the trapezoid rule formula:

L ≈ ∆x/2 × [f(x₀) + 2f(x₁) + 2f(x₂) + ... + 2f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substitute the values, we get:

L ≈ 1/12 × [1 + 2(1.221) + 2(1.648) + 2(2.718) + 2(5.522) + 15.155]

L ≈ 18.954

Now, let's use Simpson's rule with n = 6 to approximate the arc length of the same curve.

To use Simpson's rule, we first need to compute the values of y at the endpoints, the midpoint of each subinterval, and the two quarter-points of each subinterval:

x                                    y

0                                   1

0.2                                1.221

0.4                                1.648

0.6                               2.718

0.8                               5.522

1                                  15.155

x                               y

0.1                             1.048

0.3                            1.352

0.5                            1.959

0.7                            3.036

0.9                            7.261

Then we can use the Simpson's rule formula:

L ≈ ∆x/3 * [f(x₀) + 4f(x₁) + 2f(x₂) + 4f(x₃) + ... + 2f(xₙ₋₂) + 4f(xₙ₋₁) + f(xₙ)]

where ∆x = (1-0)/6 = 1/6 and n=6.

Substituting the values, we get:

L ≈ 1/3 × [1 + 4(1.048) + 2(1.221) + 4(1.352) + 2(1.648) + 4(1.959) + 2(2.718) + 4(3.036) + 2(5.522) + 15.155]

L ≈ 18.947

Therefore, the arc length of the curve y = e^x^2 for x from 0 to 1, approximated using Simpson's rule with n = 6, is approximately 18.947.

Both methods provide very similar results, with Simpson's rule being slightly more accurate.

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\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{vertex}{(2~~,~~-4)}\qquad \implies y=a(x-2)^2-4\qquad \textit{we also know that} \begin{cases} y=-3\\ x=-3 \end{cases} \\\\\\ -3=a(-3-2)^2-4\implies 1=a(-5)^2\implies 1=25a\implies \boxed{\cfrac{1}{25}=a}\)

Given:

To show the given functions are inverses of each other, they must satisfy the following conditions,

Now,

And,

It shows that the given functions are inverses of each other.

Answer:

Yes. the given functions are inverses of each other.

Answer:

1,124 pennies.

Step-by-step explanation:

Let x represent the total amount of coins Christine's penny bank can hold.

We know that it is initially 1/5 full. So, the amount of coins in the bank is:

\(\frac{1}{5}x\)

We know that she adds 562 pennies in it. So, we will add 562 to our expression:

\(\frac{1}{5}x+562\)

And we know that after adding 562 pennies, the bank is now 7/10 full. Therefore:

\(\frac{1}{5}x+562=\frac{7}{10}x\)

To find out how many coins the bank can hold, we will simply solve for x.

First, let's multiply both sides by 10 to remove the fractions:

\(10(\frac{1}{5}x+562)=10(\frac{7}{10}x)\)

Distribute:

\(2x+5620=7x\)

Subtract 2x from both sides:

\(5x=5620\)

Divide both sides by 5:

\(x=1124\)

Therefore, Christine's penny bank can hold a maximum of 1,124 pennies.

And we're done!

Answer:

Step-by-step explanation:

y^(7/8 - 2/8) = y^5/8

Option 1 is the answer

Exponential growth is a type of growth that occurs when the rate of increase is proportional to the current amount.

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You can tell if 3 side lengths will form a triangle if you know each length by adding all 3 side lengths together. If they equal a total of 180 degrees then it is a triangle.

Answer:

The probability that 121 or more Americans in the survey are afraid to fly is 0.1335.

Step-by-step explanation:

Let X denote the number of Americans afraid to fly.

The proportion of Americans afraid to fly is, p = 0.10/

A random sample of n = 1100 Americans are selected.

The random variable X follows a Binomial distribution with parameters n = 1100 and p = 0.10.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 \(np=1100\times 0.10=110>10\\\\n(1-p)=1100\times (1-0.10)=990>10\)

Thus, a Normal approximation to binomial can be applied.

So,  \(X\sim N(np,\ np(1-p))\)

Compute the probability that 121 or more Americans in the survey are afraid to fly as follows:

\(P(X\geq 121)=P(\frac{X-np}{\sqrt{np(1-p)}}>\frac{121-110}{\sqrt{99}})\\\\=P(Z>1.11)\\\\=1-P(Z<1.11)\\\\=1-0.86650\\\\=0.1335\)

Thus, the probability that 121 or more Americans in the survey are afraid to fly is 0.1335.

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Step-by-step explanation:

hope it helps.

Answer:

after a doctor nice to meet you at the

Answer:

look around the bottom of the page and if it has something like a brand or company whatever write it down in the search and then write the title of the paper and look for pdfs

Answer:

y = -1x+2

Step-by-step explanation:

(1,1)(7,-5)

y2-y1/x2-x1 = slope

-5-1/7-1 = -6/6= -1

y-y1 = slope(x-x1) // equation formula

y-1=-1(x-1)

y = -1x + 1 +1

y = -1x+2

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

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