Which of the following estimates at a 95% confidence level most likely comes form a small sample?

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

√81 = 9

-√144  = -44

√4/25 = 2/25

√0.36 = 0

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\(\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill\)

Answer:

381.51 in^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 9/2 = 4.5

4/3 x 3.14 x 4.5^3 = 381.51 in^3

Answer: x = 15

Step-by-step explanation:

8x - 23 is half of 10x + 44

2 (8x - 23) = 10x + 44

16x - 46 = 10x + 44

Subtract 10x from both sides

6x - 46 = 44

Add 46 to both sides

6x = 90

Divide both sides by 6

x = 15

There are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

Let's consider the two scenarios separately:

Scenario 1: Bikes and warehouses are considered distinct.

In this case, each bike and each warehouse is considered distinct. We need to find the number of ways to distribute 100 distinct bikes among 4 distinct warehouses.

To solve this, we can use the concept of stars and bars. Imagine we have 100 stars representing the bikes, and we want to separate them into 4 distinct groups (warehouses) using 3 bars.

The number of ways to distribute the bikes can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes and warehouses are considered distinct.

Scenario 2: Bikes are indistinguishable, warehouses are distinct.

In this case, the bikes are indistinguishable, but the warehouses are distinct. We need to find the number of ways to distribute 100 identical bikes among 4 distinct warehouses.

This problem can be solved using the concept of stars and bars again. Since the bikes are indistinguishable, the placement of bars doesn't matter.

We can think of it as distributing the 100 bikes into 4 distinct groups (warehouses) using 3 bars. The number of ways to do this can be calculated as (100 + 3) choose 3:

Number of ways = (100 + 3)C3 = 103C3 = (103 * 102 * 101) / (3 * 2 * 1) = 176,851.

Therefore, there are 176,851 ways to store the bikes in four distinct warehouses if the bikes are indistinguishable and the warehouses are distinct.

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Answer:

Quadrant 4 (IV)

Step-by-step explanation:

Quadrant 1: x>0, y>0

Quadrant 2: x<0, y>0

Quadrant 3: x<0, y<0

Quadrant 4: x>0, y<0

Answer:

First option: 336

Step-by-step explanation:

To find the answer, separately solve for each of the shapes.

1. The base is the square so length times width is the formula:

12 x 12 = 144

144 is the area of the square

Next, find the 4 triangles which are congruent(the same).

Triangle area formula: Base x Height divided by 2.

So, the area of 1 triangle is 12 x 8 =96

96/2 = 48

Area =48

Because there are 4 triangles, do 48 x 4=192.

Finally, add the area together and you should get 192+144 =336 ft^2

Surface area = 336 ft^2

Answer:

It's 60

Step-by-step explanation:

All triangles angles have to add up to 180 degrees. 60 plus 60 plus 60 is `80.

Answer:

C. 120°

Step-by-step explanation:

Just by looking at it, you can see that it is over 90° which automatically makes it not 60° and your only option left is 120°

Answer:

-1, 0, 1, 2

Step-by-step explanation:

-1 + 0 + 1 + 2 = 2

Answer:

Step-by-step explanation:

-1,0,1,2

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A subset of the population used by statisticians to make predictions about a population is called a sample. In statistical analysis, it is usually not practical or feasible to study an entire population, hence a representative sample is selected instead.

The sample is selected based on specific criteria that must be met, such as age, gender, income, location, or any other relevant factors that might affect the population being studied.
The sample must be a true representation of the population, which means it should be chosen randomly and without any bias. This is important because if the sample is not representative of the population, then any conclusions drawn from it may not be accurate or applicable to the population as a whole.
Once the sample is selected, statisticians use various methods to analyze and interpret the data collected from it. The results obtained are then used to make inferences and predictions about the entire population. These predictions can be used to inform policies, decisions, or actions that affect the population.
In conclusion, a sample is a subset of a population that is selected by statisticians to make predictions about the population. It must be representative, randomly selected, and without any bias to ensure accurate results.

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Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

\(\therefore\) L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

\(\therefore\) M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

\(\therefore\) N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

1. Feedback control for level (h)In feedback control for level (h), the control valve is connected to the output from the tank, the controller compares the level signal with the set point and generates an error signal to open or close the control valve as required.

2. Feedback control for tank temperatureIn feedback control for tank temperature, a temperature sensor measures the temperature of the tank. The controller compares the measured temperature with the set point temperature and generates an error signal to open or close the cooling water valve as required.

3. Cascade control for tank TemperatureCascade control for tank temperature consists of two control loops, one for the temperature of the tank and the other for the flow rate of the cooling water. The temperature sensor measures the temperature of the tank and feeds it to the primary controller. The primary controller compares the measured temperature with the set point temperature and generates an error signal to open or close the cooling water valve.

4. A block diagram for each configuration above1. Feedback control for level (h)2. Feedback control for tank temperature3. Cascade control for tank Temperature.

1. Feedback control for level (h)In this configuration, the level in the tank is controlled by adjusting the flow rate of the exit valve. The level sensor is placed in the tank and sends a signal to the controller. The controller compares the measured level with the set point level and generates an error signal. This error signal is then sent to the control valve. The control valve opens or closes to maintain the desired level in the tank.

2. Feedback control for tank temperatureIn this configuration, the temperature of the tank is controlled by adjusting the flow rate of the cooling water. A temperature sensor measures the temperature of the tank and sends a signal to the controller. The controller compares the measured temperature with the set point temperature and generates an error signal. This error signal is then sent to the cooling water valve. The cooling water valve opens or closes to maintain the desired temperature in the tank.

3. Cascade control for tank TemperatureCascade control for tank temperature consists of two control loops. The primary loop controls the flow rate of the cooling water, and the secondary loop controls the temperature of the tank. The temperature sensor measures the temperature of the tank and feeds it to the primary controller. The primary controller compares the measured temperature with the set point temperature and generates an error signal. This error signal is then sent to the cooling water valve. The cooling water valve opens or closes to maintain the desired temperature in the tank. The flow rate of the cooling water is controlled by the secondary loop.

The flow rate sensor is placed in the cooling water line and sends a signal to the secondary controller. The secondary controller compares the measured flow rate with the set point flow rate and generates an error signal. This error signal is then sent to the primary controller. The primary controller adjusts the cooling water valve to maintain the desired flow rate.

Feedback control for level (h), feedback control for tank temperature, and cascade control for tank temperature are three different configurations for controlling the level and temperature of a water storage tank. In feedback control for level (h), the level in the tank is controlled by adjusting the flow rate of the exit valve.

In feedback control for tank temperature, the temperature of the tank is controlled by adjusting the flow rate of the cooling water. In cascade control for tank temperature, the temperature of the tank is controlled by adjusting the flow rate of the cooling water, and the flow rate of the cooling water is controlled by the secondary loop.

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Answer:

19/149

Step-by-step explanation:

38/298 = 19/149

7th graders who prefer English out of all students

Addition of the reactant to ocean water producing a trace amount of

gold, makes the (gold compound in the) ocean water the limiting reagent.

A limiting reagent is the reactant that is consumed first before the other

reagents in the reaction.

The given parameters are;

The item added to the ocean = A reactant that precipitate gold from solution

The item to which the reactant is added is a large sample of ocean water

The amount of solid gold resulted from after filtering the mixture = Trace amount of gold

Therefore;

Given that the reactant produces gold from a solution containing gold,

and that the solution the reactant is added to is a sample of ocean water,

the gold in the ocean water is the limiting reagent that limits the amount

of gold produced.

Therefore;

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She will need  68 ounces in total for all three ingredients.

It is given that

For chocolate chips, she has  =  \(\dfrac{11}{4}\) pounds

For walnuts, she has = \(\dfrac{3}{4}\) pounds

For raisins, she has=  12 ounces

We know that,

\(\rm 1 \ pound = 16 \ ounces\)

\(\rm For \ chocolate \ chips, she\ has = \dfrac{11}{4} \times 16 }=44 \ ounces\)

\(\rm For \ walnuts,\ she\ has = \dfrac{3}{4} \times 16 }=12\ ounces\)

\(\rm For\ raisins, she \ has= 12\ ounces\)

so the total number of ounces she has will be the sum of all

\(=44+12+12 =68\ ounces\)

Thus she will need  68 ounces in total for all three ingredients.

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Answer:

d. -18

Step-by-step explanation:

f(-3) = 10x - 3x + 3

10(-3) - 3(-3) + 3

-30 + 9 + 3

-30 + 12

= -18

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The volume of the largest rectangular box in the first octant with three faces in the coordinate planes, and one vertex in the plane is V = xyz, where x, y, and z are the lengths of the sides of the rectangular box.

To find the largest volume, we need to maximize x, y, and z. Since we have three faces in the coordinate planes, one vertex will be at the origin (0, 0, 0). The other two vertices will lie on the coordinate axes.

Let's assume the vertex on the x-axis is (x, 0, 0), and the vertex on the y-axis is (0, y, 0). The third vertex on the z-axis will be (0, 0, z). Since the box is in the first octant, all the coordinates must be positive.

To maximize the volume, we need to find the maximum values for x, y, and z within the constraints. The maximum values occur when the box touches the coordinate planes. Therefore, the maximum values are x = y = z.

Substituting these values into the volume formula, we get V = xyz = x³. Therefore, the volume of the largest rectangular box is V = x³.

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What is the maximum volume of a rectangular box situated in the first octant, with three of its faces lying on the coordinate planes, and one of its vertices located in the plane?

Answer:

it would be 1/6 divided by 2, or the seond option.

Step-by-step explanation:

To split something equally, you'd divide it in half. In other words, you'd be dividing it by 2.

Therefore, it would be 1/6 divided by 2, or the seond option.

I hope this helped and have a good rest of your day!

Answer:

A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)

A2 = Square (3×5=15)

Add A1 + A2 to get the total area = 73.5

The relationship between the two confidence intervals B) The width of I81 will be 1/3 the width of I9.

When constructing 99 percent confidence intervals to estimate the difference in means of two populations, r, and w, the width of the confidence intervals depends on the sample size used.

The width of a confidence interval is inversely proportional to the square root of the sample size. Since the sample size of I81 (81) is 9 times larger than the sample size of I9 (9), the width of I81 will be smaller than the width of I9.

To determine the relationship between the widths, take the square root of the ratio of the sample sizes:

√(81/9) = √(9) = 3

Thus, the width of I81 will be 1/3 the width of I9. The width of I81 will be 1/3 the width of I9. This is because when the sample size increases, the confidence interval becomes narrower, providing a more precise estimate of the difference in means between the two populations. Therefore, the correct option is B.

The question was incomplete, Find the full content below:

two 99 percent confidence intervals will be constructed to estimate the difference in means of two populations, r and w. one confidence interval, i9 , will be constructed using samples of size 9 from each of r and w, and the other confidence interval, i81 , will be constructed using samples of size 81 from each of r and w. when all other things remain the same, which of the following describes the relationship between the two confidence intervals?

A) The width of I81 will be 1/9 the width of I9

B) The width of I81 will be 1/3 the width of I9

C) The width of I81 will be equal to the width of I9

D) The width of I81 will be 3 times the width of I9

E) The width of I81 will be 9 times the width of I9

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Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3. To understand this analysis let's consider whether there exists a 3x3 matrix A such that A^2 = -I_3, where I_3 is the 3x3 identity matrix.

Step:1. Start by assuming that there is a 3x3 matrix A such that A^2 = -I_3.
Step:2. Recall that the determinant of a matrix squared (det(A^2)) is equal to the determinant of the matrix (det(A)) squared: det(A^2) = det(A)^2.
Step:3. Compute the determinant of both sides of the equation A^2 = -I_3: det(A^2) = det(-I_3).
Step:4. For the 3x3 identity matrix I_3, its determinant is 1. Therefore, the determinant of -I_3 is (-1)^3 = -1.
Step:5. From step 2, we know that det(A^2) = det(A)^2. Since det(A^2) = det(-I_3) = -1, we have det(A)^2 = -1.
Step:6. However, no real number squared can equal -1, which means det(A)^2 cannot equal -1.
Based on the analysis, there is no 3x3 matrix A such that A^2 = -I_3.

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Answer:

BD is 11 Units

Step-by-step explanation:

The correct line of code that completes this operator which transforms a Point by dx and dy is shown below: Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Note that the function operator+ takes two arguments: an integer dx and an integer dy.

The function returns a point, which is created by adding dx to x and dy to y.The completed code is shown below:class Point { int x_{0}, y_{0};public: Point(int x, int y): x_{x}, y_{y} {} int x() const { return x_; } int y() const { return y_; }};Point operator+(int dx, int dy) { return Point(x_+dx,y_+dy);}Therefore, the correct answer is: `Point(x_+dx,y_+dy)`

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The sinusiodal function created from 2 given points is y = 3 sin (πx + 90) + 3

From the case, we have:

Minimum point = (-3,0)

Maximum point = (-9,6)

The sinusoidal fuction would be in the form of:

y = A sin (Bx - C) + D

where:

A = amplitudo

B = 2π / Period

C = Phase shift

D = Midline

First, we need to find the amplitudo:

A = (Y max - Y min) / 2

A = (6 - 0) / 2

A = 3

Periode = (X max - X min) x 2

Periode = (-9 - (-3) x 2

Periode = -6

B = 2π / Periode

B = 2π / 6

B = 1/3 π

D = (Y max + Y min) / 2

D = (6 + 0) / 2

D = 3

We can use one point to find the value of C:

0 = 3 sin (π/3 (-3) - C) + 3

0 = 3 sin (π - C) + 3

-3 = 3 sin (π - C)

sin (π - C) = -1

(π - C) = 270

C = -1/2 π

C = - 90

Then the sinusiodal function would be:

y = 3 sin (πx + 90) + 3

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Answer:

We can use the formula for the lateral surface area of a cone to find the slant height:

Lateral surface area = πrℓ, where r is the radius and ℓ is the slant height.

Since the paper cup is hollow, the lateral surface area is equal to the outer surface area of the cup, which is given as 17.9 square inches. The radius of the cup is half the diameter, which we do not know, so let's call it d:

r = d/2

We also know that the lateral surface area is given by:

17.9 = πrℓ

Substituting r = d/2, we get:

17.9 = π(d/2)ℓ

Simplifying, we get:

ℓ = (2*17.9)/(πd)

Using an approximation of π = 3.14, we can calculate:

ℓ ≈ (2*17.9)/(3.14d) = 11.40/d

Since we do not have any information about the diameter of the paper cup, we cannot calculate the exact slant height.

the speed and direction of the child relative to the surface of the water. 6.04. m/h

It implies that every object's motion is characterized in relation to Earth's motion. It implies that the motion of every item is explained in relation to every other object's motion. Motion is therefore independent of the frame of reference.

The child is walking East and the ship is moving north.

The relative motion of the child to the water is found using vector addition.

This means the speed of the child to the water is

N= √4^2 + √5^2

  =✓16+25

  =✓41

 =6.04 m/h

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Answer:

2. y= -5/3 + 13/3

Step-by-step explanation:

I used Desmos Graphing Calculator

(BTW you have very nice handwriting ;-)

The level of measurement for the variable "number of people in statistics class" is ratio.

In statistics, the level of measurement refers to the nature of the data and determines the types of statistical analyses that can be applied. There are four levels of measurement: nominal, ordinal, interval, and ratio.

In the case of the variable "number of people in statistics class," it represents a quantitative variable that can take on numerical values. The values represent counts or amounts, and they have a meaningful zero point. For example, the number of people can be 0, 1, 2, 3, and so on. Additionally, ratios can be computed between different values (e.g., the ratio of 10 people to 5 people is 2).

Therefore, the variable "number of people in statistics class" is at the ratio level of measurement. This level of measurement allows for the application of various statistical analyses such as computing means, calculating percentages, and performing ratio-based comparisons.

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Answer:

add 44 and 21 and you will get the answer

Answer:

y = -3/2x+2

Step-by-step explanation:

The slope for a slope equation is y = mx+b

Since it's decreasing from left to right the first part of the equation (mx) is -#x. The second part of the equation (+b) will be +2 because the y-intercept is (0,2). If it were a negative # then it would be -7, or -4, or - whatever.

Now you have to find the slope. To find the slope simply do y1-y2/x1-x2 or y2-y1/x2-x1. Let's follow this equation. say that (2,-1) is 1 and (4,-4) is 2.

-1+4/2-4 = 3/-2 = -3/2. The equation would be y = -3/2x +2. Let's check our work by substituting  our variables with numbers using the set (2,-1). Pleases tell me if I'm wrong or if this is confusing.

Answer:

C. 20%

Step-by-step explanation:

50*2=100

40*2=80

100-80=20

A percentage is a number or ratio that represents a fraction of 100. 

The percentage decrease in the cost of the pair of pants is 20%.

A percentage is a number or ratio that represents a fraction of 100. 

Example:

50% = 50/100 = 1/2

10% = 10/100 = 1/10

25% = 25/100 = 1/4

20% = 20/100 = 1/5

We have,

The initial cost of pair of pants = $50

The final cost of pair of pants after reduced = $40

The percentage decrease in the cost of pair of pants:

= [( Initial cost - Final cost ) / Initial cost] x 100

= [(50 - 40) / 50] x 100

= (10/50) x 100

= 20%

Thus,

The percentage decrease in the cost of the pair of pants is 20%.

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