a market research firm constructed a sampling plan to estimate the weekly sales of brand a cereal in a certain geographic area. the firm decided to sample cities within the area and then to sample supermarkets within cities. the number of boxes of brand a cereal sold in a specified week is the measurement of interest. five cities are sampled from the 20 in the area. using the data given in the accompanying table, estimate the average sales for the week for all supermarkets in the area. place a bound on the error of the estimation. is the estimator you used unbiased?

Answer:

Step-by-step explanation:

Draw a line through the data points with about half of the points on one side of the line and the other half on the other side.  You'll see that there is a slight positive rise in the graph as we move from left to right, but the correlation is weak.  Thus, 0.4 is the correct correlation coefficient in this case.

The correlation coefficient that would best describe the data give in the table is 0.4 which is a weak positive correlation.

The statistical concept of correlation describes how closely two variables move in tandem with one another.

As the graph is scattered in such a way that,if we draw a line from the centre, we can observe that as 'x' increases 'y' also increases so the relation is positive correlation.

But it is seen in the graph that these points are scattered, so this relation is weak. For positive weak correlation the value should be less than 0.5.

Therefore, the given graph shows positive weak correlation with value 0.4.

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The NPV is -$37.65 and the IRR is approximately 11.55%. To calculate the net present value (NPV) and internal rate of return (IRR), we need to consider the cash flows and the discount rate.

Given cash flows:

Year 0: $0

Year 1: -$860

Year 3: $920

Discount rate: 8%

First, let's calculate the present value (PV) of each cash flow using the discount rate:

Year 0: $0 (no cash flow)

Year 1: PV = -$860 / (1 + 0.08)^1 = -$796.30

Year 3: PV = $920 / (1 + 0.08)^3 = $758.65

Now we can calculate the NPV by summing up the present values of all cash flows:

NPV = PV(year 1) + PV(year 3)

= -$796.30 + $758.65

= -$37.65

The NPV is -$37.65.

To calculate the IRR, we need to find the discount rate that makes the NPV equal to zero. In this case, we can use the trial and error method or utilize financial software or calculators to find the IRR. Let's assume the IRR is r%.

Using the cash flows and the IRR:

Year 0: $0

Year 1: -$860

Year 3: $920

Setting the NPV equal to zero:

0 = PV(year 1) + PV(year 3)

\(0 = -$860 / (1 + r)^1 + $920 / (1 + r)^3\)

Solving this equation for r gives us the IRR. However, solving this equation analytically can be complex, so it's better to use financial software or calculators.

Using a financial calculator or software, the IRR for these cash flows can be calculated as approximately 11.55%.

Therefore, the NPV is -$37.65 and the IRR is approximately 11.55%.

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Answer:

the answer is the third option

Step-by-step explanation:

Answer:

the three sides have the same length

Step-by-step explanation:

I just took the test

The rectangle with dimensions 21 m by 21 m has the largest area among rectangles with a perimeter of 84 m.

To find the dimensions of a rectangle with a perimeter of 84 m that maximizes the area, we need to use the properties of rectangles.

Let's assume the length of the rectangle is l and the width is w.

The perimeter of a rectangle is given by the formula: 2l + 2w = P, where P is the perimeter.

In this case, the perimeter is given as 84 m, so we can write the equation as: 2l + 2w = 84.

To maximize the area, we need to find the dimensions that satisfy this equation and give the largest possible value for the area. The area of a rectangle is given by the formula: A = lw.

Now we can solve the perimeter equation for l: 2l = 84 - 2w, which simplifies to l = 42 - w.

Substituting this expression for l into the area equation, we get: A = (42 - w)w.

To maximize the area, we can find the critical points by taking the derivative of the area equation with respect to w and setting it equal to zero:

dA/dw = 42 - 2w = 0.

Solving this equation, we find w = 21.

Substituting this value of w back into the equation l = 42 - w, we get l = 42 - 21 = 21.

Therefore, the dimensions of the rectangle that maximize the area are l = 21 m and w = 21 m.

In summary, the dimensions of the rectangle are 21 m by 21 m, so the answer is A. 21, 21.

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The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

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Given:

m || QR

To find:

The measure of ∠QPR.

Solution:

Since m || QR and a transversal line intersect them, therefore the alternate interior angles are equal.

Let points S and T lie on the line m. S is on the right and T is on the left side of point P.

\(m\angle RPS=m\angle PRQ\)

\(m\angle RPS=45^\circ\)

Now, angles TPQ, QPR and RPS lie on the one side of a straight line. It means, their sum is 180 degrees.

\(m\angle TPQ+m\angle QPR+m\angle RPS=180^\circ\)

\(50^\circ+m\angle QPR+45^\circ=180^\circ\)

\(m\angle QPR+95^\circ=180^\circ\)

\(m\angle QPR=180^\circ-95^\circ\)

\(m\angle QPR=85^\circ\)

Therefore, the measure of angle QPR is 85 degrees.

Unit conversion is the conversion of one unit to another unit with its standard conversion.

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seonds

1 km = 100 m

1 m = 100 cm

We have,

Speed = 12 m/s

This means,

1 second = 12 m

Now,

1 minute = 60 seconds

15 minutes = 15 x 60 seconds

15 minutes = 900 seconds

So,

1 sec = 12 m

Multiply 900 on both sides.

900 x 1 sec = 900 x 12m

900 seconds = 10800 m

Thus,

The distance traveled in 15 minutes at a speed of 12m/s is 10800 m.

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Answer:

3181 ft²

Step-by-step explanation:

area of the pit = {πD²/4}/2

where dia. = 90 feet

plugin values into the formula:

area of the pit = {π (90)²/4)/2

                        = 3181 ft²

1.4 is less than 1.5

Step-by-step explanation:

Method 1 data from internet

\( \sqrt{2} = 1.414213562373095........\)

\( \sqrt{2} < 1.5\)

or Method 2

\( \sqrt{2} ....1.5 \\ \)

\( { \sqrt{2} }^{2} ..... \: \: {1.5}^{2} \\ \)

2 ..... 2.25

square root2 < 1.5

When data are positively skewed, the mean will usually be:d) greater than the median.

The median is the value in the middle of the value series which is arranged using data in order from the smallest to the largest, for example in a series of 3, 4, 7 the median is 4.

The median is the value that can divide the data into two equal parts. With a note, that the data must be sorted first from the smallest to the largest.

In addition, the median can also be used to determine the average of a data set, but it cannot be equated with the mean.

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Answer:  0 and 1, in that order

The numbers   0   and   1   are respectively the additive and multiplicative identities of rational numbers.

===========================================================

Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

The line integral of the function x^2 + y^2 along the curve C, which is the circle of radius 11 centered at (0, 0), is zero.

To evaluate this line integral, we can parameterize the curve C using polar coordinates. Since C is a circle of radius 11 centered at the origin, we can parameterize it as follows:

x = 11cos(t)

y = 11sin(t)

where t ranges from 0 to 2π, covering the entire circumference of the circle.

Now, we can express ds (the differential arc length) in terms of dt (the differential of the parameter t). The differential arc length is given by ds = √(dx^2 + dy^2), which simplifies to ds = 11dt.

Substituting the parameterization and ds into the line integral, we have:

∫C (x^2 + y^2) ds = ∫₀²π (11cos(t)^2 + 11sin(t)^2) (11dt)

Simplifying the integrand, we have:

∫₀²π (121cos(t)^2 + 121sin(t)^2) dt

Using the trigonometric identity cos(t)^2 + sin(t)^2 = 1, we can simplify the integrand further:

∫₀²π 121 dt

Integrating the constant term 121 with respect to t over the interval [0, 2π], we have:

121t ∣₀²π = 121(2π - 0) = 242π

Therefore, the value of the line integral is 242π.

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Answer:

t=(v-u)/a

hope it will help you

The approximate margin of error for each confidence level in the situation is:0.07, 0.04 and 0.03.What is margin of error?Margin of error refers to the extent of error that is possible when conducting research, or measuring a sample group in the population. A confidence level is the range within which the researchers can have confidence that the actual percentage of the population falls.How to calculate margin of error:Margin of error is determined by using the formula:Margin of Error = Z score x Standard deviation of sample error.

The values of Z score for 90%, 95% and 99% confidence intervals are 1.64, 1.96 and 2.58 respectively.Calculating the standard deviation:From the data provided, we know that there were 240 favorable responses out of 350 surveys. The proportion can be calculated as;240/350 = 0.686The standard deviation of a sample proportion can be calculated by using the formula:SD = √((p * q) / n)where p is the proportion of success, q is the proportion of failures, and n is the sample size.SD = √((0.686 * (1 - 0.686)) / 350)SD = 0.0323Therefore,Margin of error for 90% confidence interval:ME = 1.64 * 0.0323ME ≈ 0.053Margin of error for 95% confidence interval:ME = 1.96 * 0.0323ME ≈ 0.063Margin of error for 99% confidence interval:ME = 2.58 * 0.0323ME ≈ 0.083Hence, the approximate margin of error for each level confidence l in this situation is 0.07, 0.04 and 0.03.

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The percent rate of return on the stock in year five is -2.4 percent calculated by subtracting the sum of the returns for the first four years from the arithmetic average return over the past five years.

To find the percent rate of return on the stock in year five, we need to subtract the sum of the returns for the first four years from the arithmetic average return over the past five years.The arithmetic average return over the past five years is given as 8.6 percent. To calculate the sum of the returns for the first four years, we add the returns for each year:

16 + 11 - 19 + 3 = 11 percent.

Next, we subtract the sum of the returns for the first four years (11 percent) from the arithmetic average return (8.6 percent) to find the return percentage for the fifth year:

8.6 percent - 11 percent = -2.4 percent.

Therefore, the percent rate of return on the stock in year five is -2.4 percent. This negative value indicates a loss or decline in the stock's value during that year.

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Answer:

3 2/3

Step-by-step explanation:

To do this question, you would need to multiply 7 1/3 with 1/2. The answer is 3 2/3.

Answer:

3 2/3 albums

Step-by-step explanation:

Let's say that the stamp album has 12 stamps (12 is just an arbitrary number used to make calculation easier). If Linda collects half of the album, it means she has 6 stamps. If that is the case, Becky has 6 * 7 1/3 stamps. Since 7 1/3 is equivalent to 22/3, we can determine that Becky has collected 44 stamps (6*22/3). There are 12 stamps in one album, which means there are 44 stamps in 3 2/3 (11/3) albums:

\(\frac{12}{1}=\frac{44}{y} \\12y=44\\y=11/3\)

Since the ratio of stamps to albums is constant, the calculation above demonstrates that the number of albums it takes to have 44 stamps is 3 2/3. Please note that the numbers I used are arbitrary. If you substitute 12 for a variable x, you will get the same result.

Answer:

Situation has the highest chance bc there is more purple than any others and there is one next to the yellow on the top and grabbing a yellow putting it back and pulling a different yellow has the lowest chance bc there are only 4 yellows

Answer:

1/49

Step-by-step explanation:

If i’m wrong my bad, but probability is desired out comes over possible. So there are 52 cards in a deck and there are 1 special card each in a suit= 3 or 4 but we are focusing on three, 52-3= 49 then there is one desired outcome since it’s “a” six of hearts. It’s 1/49

A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160feett/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

Given that 1)A gull can fly at a speed of 22 miles per hour and asked to convert its units to  foot/hour

2)An AMTRAK train travels at 125 miles per hour and is asked to convert its units to  miles/minute

1 mile=5280 feet

22 miles/hour=22 × 5280 foot/hour

22 miles/hour=116,160 foot/hour

1 hour=60 minute

125 miles/hour= 125/60 miles/minutes

125 miles/hour= 2.083 miles/minutes≈ 2.1miles/minutes

Therefore, A gull can fly at a speed of 22 miles per hour i.e. equal to 116,160 feet/hour and An AMTRAK train travels at 125 miles per hour i.e. equal to 2.1 miles/minute

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Answer:

-3

Step-by-step explanation:

1. Distribute

2. Combine like terms

3. SUBTRACT 10 FROM BOTH SIDES WHAT U DO ON LEFT YOU MUST DO ON RIGHT ( always remember this )

then u get -3

The answer to the question is -3

The student's solution of -2 is incorrect because substituting -2 into the equation does not satisfy the equation, indicating that -2 is not a valid solution.

To determine if the student's solution of -2 is correct for the equation 3a² - 6a = a² - 4, we can substitute the solution back into the equation and verify if it satisfies the equation.

Substituting -2 into the equation, we have:

3(-2)² - 6(-2) = (-2)² - 4

Simplifying, we get:

3(4) + 12 = 4 - 4

12 + 12 = 0

24 ≠ 0

Since the equation does not hold true when the solution of -2 is substituted, we can conclude that the student's solution is incorrect.

Therefore, the student's claim that -2 is a solution to the equation is incorrect.

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The Solution to the given questions are:

A central angle is an angle whose vertex is at the centre of a circle and whose sides intersect the circle at two distinct points. The measure of a central angle is equal to the measure of the arc intercepted by the angle, where the arc is the portion of the circle between the two points of intersection.

An intercepted arc is a segment of a circle's circumference that is bounded by two points on the circle and contains all the points of the circle's circumference that lie between those two points. In other words, it is the portion of the circle that is "cut out" or intercepted by two points on the circle.

In this given question,

The circumscribed angle can be measured by dividing the central angle by 2.

Hence,

112°/2= 56°.

Therefore, the measurement of circumscribed angle is 56°.

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ANSWER

The answer is 6(3a+7b+1)

PLS MARK AS BRAINLIEST

the value of y for x values(-2,0,2,4) are {11, 3, -5, -13}

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

You want the value of y for various values of x, given that y = -4x +3.

Function evaluating

Put the value of x where x is in the function rule and do the arithmetic.

 y = -4x +3

for x = -2

y = (-4)(-2) +3 = 8 +3 = 11

for x = 0

y = (-4)(0) +3 = 0 +3 = 3

for x = 2

y = (-4)(2) +3 = -8 +3 = -5

for x = 4

y = (-4)(4) +3 = -16 +3 = -13

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Answer:

J(x)

Step-by-step explanation:

Answer:

J(x)

Step-by-step explanation:

Answer:

$22.05 (c)

Step-by-step explanation:

$1.47 * 15 gallons = $22.05

Answer:

C) 22.05

Step-by-step explanation:

The answer is 22.05 because if you multiply 1.47 by 15, it equals 22.05.

Hope this helped you, have a nice rest of the day!

Answer:

They Played 15 games total

Step-by-step explanation:

Make ratios:

9:60 %

x:100 %

Cross multiply: 60 times x =60x and 9x100= 900 = 60x=900

Divide to get x: 60x/60=900/60

x=15

They Played 15 games total

Please mark brainliest and have a awesome day

The total surface area of the cone in terms of pi is,

⇒ 360π square inches

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Since, Total surface area of a cone is expressed as

TSA =  πr(r + l)

Given that;

Radius = 10in

Height = 24in

Get the slant height 'l'.

l² = h²+r²

l² = 24²+10²

l² = 576+100

l² = 676

l = 26in

Substitute the given values into the formula;

TSA = pi(10)(10+26)

TSA = pi(36)(10)

TSA = 360π in²

Hence, the total surface area of the cone in terms of pi is,

⇒ 360π square inches

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