uppose x has a mound-shaped symmetric distribution. A random sample of size 16 has sample mean 10 and sample standard deviation 2. -Find a 95% confidence interval for μ & interpret the confidence interval computed

Using the circumference formula, the radius of the smaller windmill is obtained as Option D: 60 feet.

What is circumference?

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area.

The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.

For the larger windmill, the circumference is C = 660 feet.

Solving for the radius -

C = 2πr

660 = 2πr

r = 660/(2π)

r ≈ 105.1 feet

Also, the diameter is given as 210 feet.

So, the radius will be - diameter / 2.

This gives the radius value as -

Radius = 210/5

Radius = 105 feet

For the smaller windmill, the circumference is C = 376 feet.

Solving for the radius using the same formula -

C = 2πr

376 = 2πr

r = 376/(2π)

r ≈ 59.8 feet

Therefore, the radius of the smaller windmill is approximately 59.8 feet, or 60 feet.

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(a) 3723.45÷10

372345÷1000

=372.345

(b) 0.056÷100

=0.00056

Answer:

(a)= 372.345

(b)=0.00056

Step-by-step explanation:

Hope it helps!

Answer:

The meal must cost less than or equal to 19.92

Step-by-step explanation:

Let x be the cost of the mean

First find the tax

tax = x* 5.5%

     =.055x

Then find the tip

tip = x * 20%

tip = .20x

Add the total cost together

total cost = meal + tax + tip

               =x + .055x + .20x

              =1.255x

This must be less than or equal to 25

1.255x ≤ 25

Divide each side by 1.255

1.255x/1.255 ≤ 25/1.255

x ≤ 19.92

Check the picture below.

The  transition probability matrix: P(X0 = 0) = P(X0 =1) = 1/4 \(E[X3] = 0 * π3(0) + 1 * π3(1) + 2 * π3(2)\)

A Markov chain

\( {Xn : n ≥ 0}\) with three states 0, 1, 2 has the given transition probability matrix:
P =\( | 0   1/3  2/3 |\)
   \(  | 1/3 0   2/3 |\)
   \(  | 2/3 1/3 0   |\)
Additionally, the initial probabilities are provided as

P(X0 = 0) = P(X0 = 1) = 1/4. Therefore, the initial probability distribution vector can be represented as:
\(π0 = | 1/4 |\)
      \(  | 1/4 |\)
      \(  | 1/2 |\)
To find E[X3], we need to first find the probability distribution at the third step, which can be computed by multiplying the initial probability distribution vector with the transition matrix raised to the power of 3:
\(π3 = π0 * P^3\)
After computing π3, we can find E[X3] by calculating the expected value:
\(E[X3] = 0 * π3(0) + 1 * π3(1) + 2 * π3(2)\)

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Answer:

25

Step-by-step explanation:

\((2x + 2) +( 5x + 3) = 7x + 5 = 180 \\ 7x = 175 \\ x = 25\)

Answer:

25

Step-by-step explanation:

2x+2+5x+3=180

7x+5=180

7x=175

x=25

Answer:

Je vous souhaite le Bonjour dominical,

Step-by-step explanation:

Si tu veux une réponse:
soit tu postes ce devoir dans la matière French

soit tu postes le problème sur le site nosdevoirs.fr

f(2)=6*2²-7*2=24-14=10

f(-3)=6*(-3)²-7*(-3)=54+21=75

Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer: C

Step-by-step explanation:

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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The correct option that tests the given claim on statistics is; D. False. In statistics, results are not reported with 100% certainty. Because statistical studies draw on samples, and because there is variation within groups, results cannot be reported with 100 % certainty.

Statistical research is defined as the rigorous development of improved or new statistical methods grounded in probability and statistical theory.

Statistical data analysis is basically a procedure that is used to perform various statistical operations.

Now, from the question, the claim is that In statistics, results are always reported with 100 % certainty.

Now, this claim needs to be examined because there is no perfect human being and as such since statistics is drawn from a lot of samples and groups, there is guaranteed to be some form of variability in responses or results as the case may be.

Therefore, we can say that is option D.

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Amir's gross monthly income is $67,500 per year divided by 12 months, which equals $5,625. Amir's net pay for the month is approximately $4,291.88, which corresponds to option A.

To calculate his net pay for the month, we need to subtract his monthly deductions, which include social security, state income tax, and federal income tax.
First, we'll calculate each deduction:
- Social Security: 6.2% of $5,625 is $348.75
- State Income Tax: 5% of $5,625 is $281.25
- Federal Income Tax: 12.5% of $5,625 is $703.13
Next, we'll subtract these deductions from his gross monthly income:
$5,625 - ($348.75 + $281.25 + $703.13) = $5,625 - $1,333.13 = $4,291.87

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The best measure of center for the data is the median, and its value is 7.

Hence, the correct answer is:

B. The median is the best measure of center, and it equals 7.

To determine the best measure of center for the given data, we should consider the shape and distribution of the data points on the line plot.

Looking at the line plot, we can observe that the data is not symmetrically distributed.

The number of rose bouquets purchased per day ranges from 1 to 10, and there are varying frequencies for each value.

In this case, the best measure of center would be the median.

The median represents the middle value when the data is arranged in ascending or descending order.

Based on the line plot, we can see that the median would be the value that separates the data into two equal halves.

Counting the number of data points, we have a total of 19 data points. The middle value would be the 10th data point.

Looking at the line plot, the 10th data point corresponds to the value of 7.

Therefore, the best measure of center for the data is the median, and its value is 7.

Hence, the correct answer is:

B. The median is the best measure of center, and it equals 7.

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Answer:

1, 2, and 4

Step-by-step explanation:

distribution

The first five terms of the sequence \(a_n = 3n/(n+4)\) are:

3/5, 3/4, 9/7, 3/2, 15/9.

What is a sequence?

A sequence in A.P stands for "Arithmetic Progression" which is a sequence of numbers in which each term is the sum of the previous term and a constant called the common difference.

Now the given expression is

To find the first five terms of the sequence \(a_n = 3n/(n+4),\) we need to substitute the values of n from 1 to 5 and solve for \(a_n\).

a1 = 3*1/(1+4) = 3/5

a2 = 3*2/(2+4) = 3/4

a3 = 3*3/(3+4) = 9/7

a4 = 3*4/(4+4) = 12/8 = 3/2

a5 = 3*5/(5+4) = 15/9

Hence, the first five terms of the sequence \(a_n = 3n/(n+4)\) are:

3/5, 3/4, 9/7, 3/2, 15/9.

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Answer:

$ 128 for 2 tons

Step-by-step explanation:

3/8 ton is $24

   2 ton is $?

→to keep the proportion the same we write

?$ / 2 ton = $24/ (3/8)

→rewrite 24/ (3/8) as (24/1) *(8/3) because if we divide by a fraction is the same as multiplying by it's inverse

? / 2  = 24*8/ 3

→solve to find the unknown amount of money

? = 24*8*2 /3

? = 128

Answer:

593

Step-by-step explanation:

you just add them up and divide by the numbers

Literally, binomial probability represents an experiment which has two possible outcomes.

The values of the parameters​ n, p, and x are 25, 50% and 16 respectively

The representations in binomial probability are:

From the complete question, we have:

The above highlights mean that:

\(\mathbf{n = 25}\)

\(\mathbf{x = 16}\)

\(\mathbf{p =50\%}\)

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Answer:

30 hours

Step-by-step explanation:

30+45x=60+45x

45x=30+45x

x=30

Answer:

2 hours

Step-by-step explanation:

Please mark Brainliest when able.

We are given the initial value problem:

t du/dt = t^2 + 3u, t > 0, u(4) = 48

We can separate the variables t and u in the differential equation:

du/(t^2 + 3u) = dt/t

Integrating both sides, we get:

(1/3) ln|t^2 + 3u| = ln|t| + C

where C is the constant of integration.

Using the initial condition u(4) = 48, we have:

(1/3) ln|4^2 + 3(48)| = ln|4| + C

Simplifying the left side, we get:

(1/3) ln(196) = ln(4) + C

ln(196^(1/3)) = ln(4) + C

4 = 4 + C

C = 0

Therefore, the solution to the initial value problem is:

(1/3) ln|t^2 + 3u| = ln|t|

ln|t^2 + 3u| = 3 ln|t|

ln|t^2 + 3u| = ln(t^3)

t^2 + 3u = t^3

3u = t^3 - t^2

u = (1/3)(t^3 - t^2)

So, the solution to the initial value problem is:

u(t) = (1/3)(t^3 - t^2)

Therefore, the solution to the initial value problem with u(4) = 48 is:

u(t) = (1/3)(t^3 - t^2)

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a z-score or a standard score.

A z-score is a dimensionless quantity that represents the number of standard deviations an observation or data value is above or below the population mean. It is calculated by subtracting the mean from the observed value and then dividing the result by the standard deviation of the population. The resulting value is a measure of how far from the mean the observation falls, in terms of the standard deviation of the population.

Z-scores are useful in statistics because they allow us to compare observations or data values from different populations or distributions, even if they have different means and standard deviations. By converting each observation to a z-score, we can put them all on the same standardized scale, which makes it easier to compare and analyze them.

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_____The given question is incorrect, the correct question is given below:

When a data value is converted to a standardized scale representing the number of standard deviations the data value lies from the mean, we call the new value a ____.

Answer: p(6) represents how the number of bacteria after 6 days.

Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.

The radius of convergence of series (cn dn)xn is 14.

The radius of convergence of a power series (cn xn) is the distance from the origin to the point beyond which the series no longer converges. It is denoted by R and it's calculated by using the formula:

R = 1/lim sup|cn|^(1/n)

The radius of convergence of a product of two series (cn xn) and (dn xn) is the minimum of the radius of convergence of the individual series.

So, in this case, since the radius of convergence of the series cn xn is 14 and the radius of convergence of the series dn xn is 15, the radius of convergence of the product series (cn dn)xn is

min(14, 15) = 14

Therefore, the radius of convergence of the product series (cn dn)xn is 14.

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Answer: $47

Step-by-step explanation: if he had $47 before and has $0 now, he used all of his money which is $47!

Answer: $47

Step-by-step explanation:

Answer:

True True False True

Step-by-step explanation:

You would substitute the value for x and the value for y into both equations and see if the sign holds true.

So for number 1:

x=3, y=-2;

y ≤ x -3        

-2 ≤ x - 3

-2 ≤ -1

y ≥ -x - 2

-2 ≥ -3 - 2

-2 ≥ -5

Number 1 is true because the equations are true ^^

Do this for every problem so it would be:

1. True

2. True

3. False

4. True

Answer:

2 donuts

Step-by-step explanation:

All we need to do to find the unit price is divide both values.

5.40 / 12 = $0.45 per donut

The question is asking how many donuts you can get for $1 so lets divide again.

1 / 0.45 = 2.22...

We know that the store won't cut the donut so we can only get 2 donates for a dollar. We can laos save the 10 cents we have over for taxes.

Best of Luck!

after 48 months, Jade will have paid $7,152.00, Jade's balloon payment will be $6,678.29. Jade will have paid $13,830.29 after making the balloon payment. if Jade had made the usual payment of $479.37 for 48 months, she would have paid a total of $23,023.76. and it was cheap.

Part I: The total amount Jade will have paid after 48 months with a monthly payment of $149.00 can be found by multiplying the monthly payment by the number of months:

Total amount paid = Monthly payment x Number of months

Total amount paid = $149.00 x 48

Total amount paid = $7,152.00

So after 48 months, Jade will have paid $7,152.00.

Part II: Jade plans to make a balloon payment after 48 months. To find out how much the balloon payment will be, we need to find the remaining balance on the loan after 48 months. We can use the formula for the future value of an annuity to find this amount:

Remaining balance = Monthly payment x ((1 + monthly interest rate)^number of months - 1) / monthly interest rate - loan amount x (1 + monthly interest rate)^number of months

Where:

Monthly payment = $149.00

Monthly interest rate = APR / 12 = 3.6% / 12 = 0.3%

Number of months = 48

Loan amount = $21,400

Plugging in these values, we get:

Remaining balance = $149.00 x ((1 + 0.003)⁴⁸ - 1) / 0.003 - $21,400 x (1 + 0.003)⁴⁸

Remaining balance = $6,678.29

Therefore, Jade's balloon payment will be $6,678.29.

Part III: To find out how much in total Jade will have paid after making the balloon payment, we need to add the total amount paid after 48 months (from Part I) to the balloon payment:

Total amount paid = Amount paid after 48 months + Balloon payment

Total amount paid = $7,152.00 + $6,678.29

Total amount paid = $13,830.29

So in total, Jade will have paid $13,830.29 after making the balloon payment.

Part IV: If Jade had made the usual payment of $479.37 for 48 months, the total amount she would have paid can be found by multiplying the monthly payment by the number of months:

Total amount paid = Monthly payment x Number of months

Total amount paid = $479.37 x 48

Total amount paid = $23,023.76

Therefore, if Jade had made the usual payment of $479.37 for 48 months, she would have paid a total of $23,023.76.

Part V: To find out how much more expensive the balloon payment option was for Jade than if she had just made the usual payment of $479.37 for 48 months, we need to subtract the total amount paid in Part IV from the total amount paid in Part III:

Difference = Total amount paid with balloon payment - Total amount paid with usual payment

Difference = $13,830.29 - $23,023.76

Difference = -$9,193.47

The result is negative, which means that the balloon payment option was actually cheaper for Jade than if she had made the usual payment of $479.37 for 48 months. Specifically, she would have saved $9,193.47 by choosing the balloon payment option.

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