In a simple random sample of 170 households, the sample mean number of personal computers was1.71. Assume the population standard deviation is σ=0.86.

(a) Construct a 90% confidence interval for the mean number of personal computers. Round the answer to at least two decimal places.

A 90% confidence interval for the mean number of personal computers is _______
(b) If the sample size were 120 rather that 170, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________in the sample size will _______ the standard error.

(c) If the confidence levels were 95% rather than 90%, would the margin of error be larger or smaller than the result in part (a)? Explain.

The margin of error would be _______, since __________ in the confidence level will ___________the critical value za/2.

(d) Based on the confidence interval constructed in part (a), is it likely that the mean number of personal computers is greater than 1?

It ________ likely that the mean number of personal computers is greater than1.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

2y+4x=12

2*1+4*8=12

2+32=12

35=12

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

\(m\angle RPS=90^\circ\)                       [Right angle]

\((5x+15)^\circ=90^\circ\)

\((5x+15)=90\)

\(5x=90-15\)

\(5x=75\)

Divide both sides by 5.

\(x=\dfrac{75}{5}\)

\(x=15\)

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

\(m\angle RQP=(2x+3)^\circ\)

Putting \(x=15\), we get

\(m\angle RQP=(2(15)+3)^\circ\)

\(m\angle RQP=(30+3)^\circ\)

\(m\angle RQP=33^\circ\)

Therefore, the measure of angle RQP is 33 degrees.

Answer:

3.59

Step-by-step explanation:

5.30 % rate of return would you expect on a 5-year treasury security, assuming the pure expectations theory is valid.

To reflect the true cost and purchasing power of money that is borrowed or invested, an interest rate is called a real interest rate that has been adjusted for inflation. The nominal interest rate depicts the cost of money and reflects the state of the market. A good's nominal value is its price in terms of money. Its value in relation to another good, service, or collection of goods is what determines its true worth. Given that it is the current interest rate in the economy, it is frequently referred to as the market interest rate (usually charged by banks and other institutions). Depending on the bank or the type of loans or deposits, this nominal interest rate may be 8%, 10%, or 12%.

Nominal interest rate = Real interest rate + Inflation rate

= 2.5% + 2.8%

= 5.30%

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Answer:

i think its 100feet away when u look 20°

The values of d that make the inequality 9d > 9 true are given as follows:

2, 4, 11.

Hence the equivalent inequality is given as follows:

d > 1.

The inequality in the context of this problem is defined as follows:

9d > 9.

To solve the inequality, we solve it similarly to an equality, isolating the desired variable d, hence the solution is given as follows:

d > 9/9

d > 1.

The > symbol means that the solution is composed by values that are greater than 1, hence the options are 2, 4, 6 and 11.

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Could you write the question more properly?

The approximate commission at the rate of 7% is $650.82

What is area of triangle?

The area occupied by a triangle is known as area of triangle. The area if computed as 1/2*base*height

We are given the, base of 1500 feet and a height of 600 feet

Hence the area of triangle can be given as

Area= 0.5*1500*600

Area= 450000 ft^2

Now 1 acre costs as 43560 sqft

Hence the area of triangle in acres is

Area in acres = \(\frac{450000}{43560}\)

Area in acres= 10.33

Hence total amount for which the piece of land is sold = 10.33*900

Total amount= $9297

Now we have to find the 7% of this amount

Hence

\(=\frac{9297*7}{100}\\=650.82\)

Hence the amount received as commission is $650.82

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Answer:

-5

Step-by-step explanation:

adding a negative means you’re subtracting that number so if you rewrote it, it would be -1/4 - 4 3/4. when you subtract from a negative number you can act like the numbers are positive and add them together and add a negative at the end 1/4+4 3/4= 5 but you make it negative so it’s -5

Steps to convert decimal into fraction

Write 4.005 as  

4.005

-----------

1

Multiply both numerator and denominator by 10 for every number after the decimal point

4.005 × 1000

---------------------

1 × 1000

=  

4005

-----------

1000

Reducing the fraction gives

801

--------

200

Risk reduction can be defined as the strategy that reduces risk by minimizing the chance that the loss occurs or reduces the value lost. That is option B.

Risk reduction is defined as the strategy that can be used to make risk less severe through taking some clearly defined actions.

The strategies that can be used include the following:

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer:

28

Step-by-step explanation:

Answer:

The correct answer is 28

hope this helps

Answer:

The answer is "p=25.63 and h= 6.24".

Step-by-step explanation:

p = cost of the plain

h = cost of the holiday

\(\to 10p + 7h = 330.........(i)\\\\\to 4p + 14h = 356........(ii)\)

multiply by 2 in equation (i) and subtract from the equation (ii):

\(\to 20p + 14h = 660\\\\\to 9p + 14h = 378\\\\subtract\\\to 11 \ p =\ 282 \\\\\to p = \frac{282}{11}\\\\\to p = \$ \ 25.63\)

put the value of p in equation (i):

\(\to 10(25.63)+7h=330\\\\\to 256.3+7h=330\\\\\to 7h=330 - 256.3\\\\\to 7h=330 - 256.3\\\\\to 7h= 43.7\\\\\to h= \frac{43.7}{7}\\\\\to h=6.24\)

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

x = 2

Step-by-step explanation:

0.4x + 9.2 = 10

        -9.2    -9.2

0.4x/0.4 = 0.8/0.4

x = 2

Answer:

x=2

Step-by-step explanation:

\(\frac{4}{10}x+\frac{92}{10}=10\)

\(\frac{2^{2}}{2*5}x+\frac{2^{2}*23}{2*5}=10\)

Answer:

The equation is C = 65h

Answer:

its b

Step-by-step explanation:

i took da test

Answer:

12 i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

-2^4-5(5)+2(-2-3)^2

16-25+2(25)

16-25+50

41

If the line is perpendicular to the given plane and passes through the point (5, 6, 8), there is no point of intersection between the line and the plane. To find the point of intersection between a plane and a line, we need the equation of the plane and the equation of the line.

Additionally, if the line is perpendicular to the plane, we can determine the point of intersection by substituting the coordinates of the given point into the equation of the line.

Let's assume the equation of the plane is in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. We'll also assume the equation of the line is in the parametric form:

x = x₀ + at

y = y₀ + bt

z = z₀ + ct

where (x₀, y₀, z₀) are the coordinates of the given point (5, 6, 8), and (a, b, c) are the direction ratios of the line.

Since the line is perpendicular to the plane, the direction ratios of the line must be proportional to the coefficients of x, y, and z in the equation of the plane. Therefore, we can set a = A, b = B, and c = C.

Now, substituting the given point (5, 6, 8) into the parametric equations, we have:

x = 5 + At

y = 6 + Bt

z = 8 + Ct

Substituting these values into the equation of the plane, we get:

A(5 + At) + B(6 + Bt) + C(8 + Ct) + D = 0

Expanding and simplifying, we have:

5A + 6B + 8C + (A² + B² + C²)t + At² + Bt² + Ct² + D = 0

Since this equation must hold for all values of t, each coefficient of t and t² must be zero. Therefore, we get the following system of equations:

A² + B² + C² = 0

At = Bt = Ct = 0

The first equation tells us that A² + B² + C² = 0, which implies A = B = C = 0. However, this would mean the line is parallel to the plane and does not intersect it.

Therefore, if the line is perpendicular to the given plane and passes through the point (5, 6, 8), there is no point of intersection between the line and the plane.

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Assume that f is one-to-one, meaning that every element in x maps to a unique element in y. Since |x| > |y|, there must exist at least one element in x that does not have a unique element in y to map to. Therefore, f cannot be one-to-one.

To prove this more formally, we can use the pigeonhole principle. Since |x| > |y|, there are more elements in x than there are elements in y. If f is one-to-one, then each element in x must map to a unique element in y. However, since there are more elements in x than there are in y, there must be at least one element in x that maps to the same element in y as another element in x. This violates the definition of a one-to-one function, and thus f cannot be one-to-one.

In simpler terms, when we have more pigeons (elements in x) than pigeonholes (elements in y), at least one   must have more than one pigeon. Similarly, when we have more elements in x than in y, at least one element in x must map to the same element in y as another element in x. Therefore, f cannot be one-to-one.

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There are several potential problems that might arise if a tutor is asked to record personal information such as student names, dates of birth, home addresses, and phone numbers for a large number of students and then email the spreadsheet to the unit convenor.

One major concern is the security and privacy of the students' personal information.

There are logistical challenges involved in managing and organizing the large amount of data.

One major concern is the security and privacy of the students' personal information. Emailing a spreadsheet containing sensitive data poses a risk of unauthorized access, interception, or data breaches. If the spreadsheet falls into the wrong hands, it could lead to identity theft, privacy violations, or misuse of personal information. Additionally, there is the issue of compliance with data protection regulations, such as the General Data Protection Regulation (GDPR), which requires the protection of personal data and imposes strict guidelines on its handling.

Moreover, there are logistical challenges involved in managing and organizing the large amount of data. Ensuring accuracy and maintaining data integrity becomes increasingly difficult with a higher number of students and multiple tutors. There may be instances of data entry errors, missing information, or duplication, which can lead to confusion and inaccuracies in student records.

To address these problems, it is important to establish secure data management protocols, such as using encrypted file transfer methods or secure file sharing platforms. Implementing strict access controls and limiting the number of individuals handling and transmitting the data can help mitigate the risks. It is also essential to comply with relevant privacy laws and regulations and provide clear guidelines to tutors on data protection and confidentiality. Regular data audits and reviews can help identify and rectify any potential issues in the data management process.

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Answer:

x is less than or equal to 59/7

Step-by-step explanation:

Step-by-step explanation:

Y= 3x + b

As, to know the total, which is y, we need to solve for the cost

So first for money per square foot = $3

For square foot = x

So, price for x square foot = $3x (here this is the value of m)

Now, for value b,

$100 is added to the cost as its the charge, as the flat fee

So the value of b = $100

So, y=3x+100