Construct an interval estimate for the given parameter using the given sample statistic and margin of error. For p, using 0.33 with margin of error 0.03. - The interval isi 0.32 to 0.34
Construct an

The correct option is B. influential point. An influential point refers to an observation or data point that has a significant impact on the results or conclusions of a statistical analysis.

The new observed data point is included in the set of bi-variate data.

You find that the slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. This new data point is probably an influential point.

An influential point is a data point that significantly impacts the results of the statistical analysis done. It can be an outlier, but not necessarily.

A single point can also influence the correlation coefficient, as well as the slope of the regression line. In general, an influential point has a high leverage, meaning that it has a greater impact on the model's predictions than other points.

The slope of the new regression line has changed from 1.7 to 1.1, and the correlation coefficient only changed from +0.60 to +0.61. So the new data point is an influential point.

Therefore, the correct option is B. influential point.

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The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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Answer:

hi help me I'm new here with my latest question

Answer:

A=12

Step-by-step explanation:

Subtract -4a on both sides

you should get 26=50+2a

subtract 50 to both sides

you should get -24=2a

divide -24 by 2

Answer:

BCF + FCD = BCD

→13x + 2 + 70x = 168

→83x + 2 = 168

→83x = 166

→ x = 2

The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

The branch of mathematics which deals with the analysis of random phenomena is called probability. The probability of an event is defined as the ratio of favorable events to the total number of events.

P(E) = F(E)/T(E)

Where P(E) = probability of an event which occur\

F(E) = Number of favorable events

T(E)= Total number of events

Here given that the total number of cars T(E) =12

And the number of cars that have acceptable emissions level F(E) = 4

Hence Probability that at least nine cars have an acceptable emission level

=4/12

= 1/3

= 0.333

The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.

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Hey!

Sorry for this late response...

I actually had this same question

so the answer is : 81

~hope this helps~

Answer:

The answer is 81

Step-by-step explanation:

A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.

Using sample data, hypothesis testing is used to determine a hypothesis's credibility. It is represented as H0, and it is sometimes referred to as the "null."

Given; The average thickness and standard deviation of a sample of 50 eyeglass lens samples are 3.05 millimeters and.34 millimeters, respectively.

Such lenses should have a true average thickness of 3.20 mm. Utilizing a =.05

False hypothesis H0: Alternative hypothesis: mu1= mu2 HA: 'mu1' and 'ne'

Sample Size 50 Sample Mean 3.05 Sample Standard Deviation 0.34 Intermediate Calculations Standard Error of the Mean 0.0481 Degrees of Freedom 49 t Test Statistic -3.1196 Two-Tail Test Lower Critical Value -2.0096 Upper Critical Value 2.0096 p-Value 0.0030 Reject the null hypothesis

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Answer:

sure what do u need

Step-by-step explanation:

Answer:

there is no question

Step-by-step explanation:

???

Answer:

1234

Step-by-step explanation:

Answer:

Hello,

Step-by-step explanation:

h(x) has a minimum at x=  2. (h(x) is turning down at x=2)

I have suppose that h''(2 + ) <0 and h''(2 -) <0

Answer:

Step-by-step explanation:

The point A has coordinates (5, 1) so the image of A which is A' has

coordinates (5 - 2,  1+3)

= (3, 4).

B', C' and D' are calculated in the same way.

So B' is (4, 1),

C' = (3, 2) and

D' = (2, 1)

Answer:

Step-by-step explanation:

the answer is 6 i hope this help

Answer:

6

Step-by-step explanation:

To build a scale model we must take into account the original measurements of the original house.

A scale model is a tool that allows us to build a structure with a smaller or larger size than the original that we take as a reference.

To build a scale model we must take into account all the measurements of the original object, in this case a house to be able to reduce it adequately to a smaller scale.

For example, if its sides are 30 meters long by 2 meters high and we want to make a scale of half the size, we must make its sides 15 meters long by 1 meter high.

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Therefore, the solutions of the equation cos(x + 3π/4) - cos(x - 3π/4) = 0 in the interval [0, 2π) are x = 0, π, and 2π.

To find all solutions of the equation cos(x + 3π/4) - cos(x - 3π/4) = 0 in the interval [0, 2π), we can use the trigonometric identity for the difference of two cosines:

cos(A) - cos(B) = -2sin((A + B)/2)sin((A - B)/2)

Using this identity, we can rewrite the equation as:

-2sin((x + 3π/4 + x - 3π/4)/2)sin((x + 3π/4 - x + 3π/4)/2) = 0

Simplifying further:

-2sin((2x)/2)sin((3π/2)/2) = 0

-2sin(x)sin(3π/4) = 0

Now, we can consider the two cases where either sin(x) = 0 or sin(3π/4) = 0:

Case 1: sin(x) = 0

In this case, x can be any multiple of π since sin(x) is zero at those points. So the solutions are x = 0, π, and 2π.

Case 2: sin(3π/4) = 0

There are no solutions in the interval [0, 2π) for this case since sin(3π/4) is not zero.

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the equation would be 2[6]+10 however if we were to solve it would have been 2(6)+10 = 22 employees

The equation y = 4/3 x + 2 represents the number of employees, increases at a steady rate.

Where x shows the number of months

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

At staring, when the company was opened,

The number of employees = 2.

After 6 months the number of employees in company = 10.

The increased number of employees = 10 - 2 = 8

In 6 months 8 employees are increases.

In 12 months number of employees = 10 + 8 = 18

Let y represents the number of employees

And x represents the number of months

So the equation can be written as,

y = 4/3 x + 2

The required equation is y = 4/3 x + 2.

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The total floor-space area of two rooms whose dimensions (width and length) of room1 have been read into two variables width1 and length1 and the dimensions of room2 have been read into two other variables width2 and length2 can be calculated by using the following expression: `(width1 * length1) + (width2 * length2)`

In this expression, `(width1 * length1)` calculates the floor space of the room1 and `(width2 * length2)` calculates the floor space of room2.

When both of these floor spaces are added using the "+" operator, the result is the total floor-space area of the two rooms.

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Answer:

Juan's package weighs 6 pounds.

Step-by-step explanation:

To convert 96 ounces to pounds, we need to divide the weight in ounces by the number of ounces in a pound:

96 ounces ÷ 16 ounces/pound = 6 pounds

Therefore, Juan's package weighs 6 pounds.

For a bounded region, R between the curves y = 4x² and y = 4 and the volume of a solid has base R, and cross sections perpendicular to the y-axis is equals to the π square units.

We have a region R is bounded by the curves y = 4x² and y = 4. Solid has base R and cross sections perpendicular to the y-axis are semicircles with the diameter lying in region R. When solving the volume using slicing method we use the basic formula which is the area times the length V = A×l, where A is the area of the cross-section. Also, the formula for the area of cross section for semicircle

= (1/2)π(d/2)²

= (π/8)d², where d is the diameter

Based on the graph the volume of a single semicircle strip is, dV = (π/8)x²dy

=> dV = (π/8) (y/4) dy ( since, y = 4x² , x²

= y/4 )

=> dV = (π/32)4y dy

=> dV = (π/8)ydy --(1)

Now, the limits are, y = 0, 4

Integrating equation (1), with limits 0 to 4.

\(∫dV = \frac{π}{8} ∫_{0}^{4}y dy\)

\(V= \frac{π}{8} [ \frac{y^{2} }{2} ]_{0}^{4} \)

\(V = \frac{π}{8} [ \frac{16}{2} - 0] = 8(\frac{π}{8}) = π\)

Hence, the required volume is π square units.

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Hi there

Painting preference and total number of students.

For two way table we need to the data that will consider all the cases:

So, an art teacher should use the two variable painting preference and number of students as her first row and first column respectively.

Because these two things will consider both water color or oil painting under painting preference.

And all students of all three classes under number of students.

hope this help you

Answer:

A.painting preference and total number of students

Step-by-step explanation:

you are welcome !!

Answer:

Step-by-step explanation:

The angle and its supplementary angle have a difference of 15.8°. To find the measures, we need to solve an equation.

Let's assume the measure of the angle is x°. The measure of its supplementary angle would be (180° - x°). According to the given information, x° = (180° - x°) - 15.8°.

Simplifying the equation, we have:
x° = 180° - x° - 15.8°
2x° = 164.2°
x° = 82.1°

Therefore, the angle measures 82.1° and its supplementary angle measures (180° - 82.1°) = 97.9°. The difference between these angles is indeed 15.8°, as stated in the problem.

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Answer:

13, 21, 34, 55, 89 are the next five numbers in the sequence.

Step-by-step explanation:

It's known as the Fibonacci sequence. Every term is the sum of the previous two. If you add the terms of the sequence then the result of each of the sums will form a sequence as well. For this sequence 1+1=2, 2+3=5, 5+3=8, 8+5=13, 13+8=21, 21+13=34, 34+21=55, 55+34=89 and so on.

Answer:

C(a,b)

AC(a/2, b/2)

BD(a+c/2, b+0/2)

Step-by-step explanation:

Both equations are satisfying by substituting (5, 0) in the system of inequalities.

What is a system of inequalities?

"A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system."

Given

System of inequalities graphed equation

y ≤ 2x + 2.................(1)

y ≥ -5x + 4................(2)

Substituting the point (5, 0) in equations 1 and 2

y ≤ 2x + 2

⇒ 0 ≤ 2(5) + 2

⇒ 0 ≤ 27

It is true

y ≥ -5x + 4

⇒ 0 ≥ -5(5) + 4

⇒ 0 ≥ -25 + 4

⇒ 0 ≥ -21

It is also true

In this option, Both equations are satisfying by substituting (5, 0)

Both equations are not satisfying by substituting (0, 5)

Hence, Both equations are satisfying by substituting (5, 0) in the system of inequalities given.

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Answer

$12.41

Step-by-step explanation

1 pound is equivalent to $0.85 in the shipping fee.

To find the shipping fee equivalent to 14.6 pounds, we can use the next proportion:

Cross-multiplying and omitting the units:

The surface area of the part of the cone z = sqrt(x² + y²) is π(x² + y²) + π(x² + y²)·(x² + y² + z²).

The surface area of the part of the cone z = sqrt(x² + y²) is expressed as follows:

We have to find the surface area of the cone, where the height is equal to the distance from the point (x, y, z) to the origin and the base radius is equal to the distance from the point (x, y, 0) to the origin.

Using the formula for the surface area of a cone and the distance formula, we can calculate the surface area of the part of the cone z = sqrt(x² + y²).

So, the solution is as follows:

Surface area of the cone = πr² + πrl

where l² = h² + r²πr² = π(x² + y²)

πrl = π(x² + y²)² + z²

Substitute z = sqrt(x² + y²)

πr² = π(x² + y²)

πrl = π(x² + y²)·(x² + y² + z²)

Surface area of the part of the cone z = sqrt(x² + y²) = π(x² + y²) + π(x² + y²)·(x² + y² + z²)

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There is a enough information to determine whether the quadrilateral is a parallelogram

As we observe the quadrilateral the pairs of opposite sides in a parallelogram are parallel.

This means that they have the same slope and will never intersect, even if extended indefinitely.

The lengths of the opposite sides in a parallelogram are equal.

This property distinguishes a parallelogram from a general quadrilateral.

The pairs of opposite angles in a parallelogram are congruent.

This means that they have the same measure, making them equal in size.

The given figure is a parallelogram as it satisfies all the properties of parallelogram.

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(a) A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio. This supports the use of a simple linear regression model.

(a) A scatterplot of the data shows a reasonably strong, negative, linear relationship between pressure and the bond capacity ratio. This means that as pressure increases, the bond capacity ratio tends to decrease.

The relationship is not perfect, but it is strong enough to suggest that a simple linear regression model may be a good fit for the data.

(b) The point estimates of the slope and intercept of the regression line can be calculated using the Minitab output. The slope is the coefficient of the x-variable, which is pressure in this case.

The intercept is the coefficient of the constant term. The point estimates of the slope and intercept are -0.206 and 0.943, respectively.

(c) The point estimate of the true average bond capacity when lateral pressure is 0.35fcu can be calculated by substituting this value into the regression equation. The regression equation is:

bond capacity ratio = -0.206 * pressure + 0.943

Substituting 0.35fcu for pressure, we get:

bond capacity ratio = -0.206 * 0.35fcu + 0.943 = 0.739

Therefore, the point estimate of the true average bond capacity when lateral pressure is 0.35fcu is 0.739.

(d) The correlation between the ratio and pressure is -0.684. This means that there is a negative correlation between the two variables. A negative correlation means that as one variable increases, the other variable tends to decrease.

The correlation coefficient is a measure of the strength of the relationship between two variables. A correlation coefficient of -0.684 indicates a strong negative correlation.

The correlation between the ratio and pressure will change if we change the measurement units for both variables. For example, if we measure pressure in pounds per square inch instead of MPa,

the correlation coefficient will change. This is because the correlation coefficient is a unitless measure of the strength of the relationship between two variables.

(e) The percentage of it can be explained by the model relationship is 46.9%. This means that 46.9% of the variation in the bond capacity ratio can be explained by the linear relationship between pressure and the bond capacity ratio.

The remaining 53.1% of the variation is due to other factors, such as the quality of the concrete and the type of reinforcement.

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let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)